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l'équation d'une rotation dans un graphique cartésien 2001-11-14
Ghaith pose la question :
je d6sir que vous me rafraichissez un peu la mémoire s.v.p. j'aimerai savoir l'équation d'une rotation dans un graphique cartésien merci
Claude Tardif lui répond.
la pantographie 1999-11-18
Erick et Christine pose la question :
Nous recherchons la définition de pantographie voltaïque, que représente cette "figure" ? est-ce qu'on peut en définir une unité de mesure ?
Claude Tardif lui répond.
A graph with 100 vertices and one edge 2022-01-11
Maftuna pose la question :
A graph has 100 vertices and only one edge. How many connected components does it have?
Penny Nom lui répond.
A straight line graph 2020-02-26
Penehafo pose la question :
I have a problem of drawing a straight line graph by the equation y=2x-1
Penny Nom lui répond.
A system of inequalities 2020-02-01
Isaac pose la question :
Austin has x nickels and y dimes, having a maximum of 15 coins worth a minimum of $1 combined. No more than 4 of the coins are nickels and no less than 11 of the coins are dimes. Solve this system of inequalities graphically and determine one possible solution.
Penny Nom lui répond.
Investigating y = (-2)^x 2020-01-13
Gonzalo pose la question :
This is not precisely a maths question, but it is formulated based on my maths curiosity. Fidgetting with my new graphic calculator, I started graphing things and had the idea to graph $y=(-2)^x.$ The result surprised me, and I thought a little bit about it, stored it on the back of my brain, and promised myself to look deeper into it someday.
Harley Weston lui répond.
y = |x| - 1 2018-11-30
alexis pose la question :
what does this mean y=|x|-1
Penny Nom lui répond.
Graphing y = 2x - 1 2018-03-12
Himanshu pose la question :
Hi I Himanshu I having 1 doubt on 1 question this question of graph how to draw y=2x-1
Penny Nom lui répond.
The graph of graph y= -2x-1 2017-11-11
Natividad pose la question :
How do you graph y= -2x-1?
Penny Nom lui répond.
The distance between the origin and a moving point on a graph 2017-10-16
Paulina pose la question :
Find the rate of change of the distance between the origin and a moving point on the graph of y=x^2 +1 if dx/dt=2 centimeters per second
Penny Nom lui répond.
A pie chart 2016-12-05
vickie pose la question :
Determine the central angle needed to form a pie chart for the following housing characteristic data: 63% owner occupied, 27% renter occupied, and 10% vacant
Penny Nom lui répond.
A piecewise function 2015-04-25
uday pose la question :

f(x)={x^2+3x+2 / x+2, x(not equal to)=-1
{4, x=-1
how to find domain and how the graph looks like


Penny Nom lui répond.
A circle graph 2015-04-06
Davis pose la question :
i don't know how to answer this question. please help!

a survey about student government shows the following results

110 like the program
120 think the program is unnecessary
210 plan on running for student government next year

if this information is put in a circle graph,what is the central angle for the students who like the program?

Penny Nom lui répond.
A piecewise graph 2014-05-10
Zoe pose la question :
Lightning Energy charges residential users for each unit of electrical energy bought from them each quarter, according to the scale below:
0-500 units cost 17 cents per unit
500-1500 units cost $85 plus 10 cents for each unit in the excess of 500
1500 or more units cost $185 plus 9 cents for each unit in excess of 1500
Sketch a graph showing the charge C as a function of U for up to 2000 electricity units

Penny Nom lui répond.
Graphing piecewise functions 2014-03-29
Rayven pose la question :
Hi! I'm in eighth grade, taking ninth grade algebra 1. I'm confused as to how to graph piecewise functions. I know that you have already answered a question similar to this (I did my research first) but it didn't completely help me on my homework. I have to graph piecewise functions for the specified domains, and create a table for the absolute values. I know that two bars around a number means absolute value (two bars around -2 makes it +2) , but how do I graph and chart the absolute value for the following:

f(x)= |x+3 | for -5≤x≤3

And then graph and chart: (on a separate graph):

f(x)= {x if x≤0
{x+1 if x <0

thank you!
~Rayven

Penny Nom lui répond.
A circle graph 2014-03-06
Caitlyn pose la question :
I need to find the measure of the central angle that represents the amount of time spent on each activity.
My question includes a circle graph with the following: Sleep 31%, Other 15%, Entertainment 18%, Errands 7%, Work 20%, and Food 9%.

Penny Nom lui répond.
The graph of y=2x+4 2014-02-18
tyler pose la question :
y=2x+4 graph
Penny Nom lui répond.
The graph of f(x)=x^2-4 2014-02-07
Allison pose la question :
Graph f(x)=x^2-4 and give the five point of the x/y intercepts.
Penny Nom lui répond.
What does y= f(x) actually mean? 2013-12-31
John pose la question :

I don't understand how to pick coordinates for y=f(x).

I took a look at your answer to a previous question here:

http://mathcentral.uregina.ca/QQ/database/QQ.09.00/monica2.html

What does y= f(x) actually mean?


Penny Nom lui répond.
How do I graph y=-2x-1? 2013-12-07
cindy pose la question :
How do I graph y=-2x-1?
Penny Nom lui répond.
How can we draw the equation "x+y=1" in 3d? 2013-05-03
shimaa pose la question :
how can we draw the equation "x+y=1" in 3d
Robert Dawson lui répond.
Solve sin 3x = -0.1254 with x between o and 360 degrees 2013-02-21
David pose la question :
sin 3x = -0.1254 0
Harley Weston lui répond.
Solve sin 3x = -0.1254 with 0 2013-02-21
David pose la question :
sin 3x = -0.1254 0
Harley Weston lui répond.
Plotting y=f(x)+2 2013-01-21
Gavin pose la question :
how would you plot y=f(x)+2
Penny Nom lui répond.
A bipartite graph 2012-10-29
A student pose la question :
Suppose that G be a bipartite graph with maximum degree of k.

Prove that:

1)Exists a K-regular bipartite graph that G be subgraph it(H)

Claude Tardif lui répond.
The number of solutions of sinx = x^2 + x +1 2012-09-01
anamika pose la question :
number of solutions of

sinx = x^2 + x +1
graphically?

Penny Nom lui répond.
Translation of a graph 2012-06-02
Sean pose la question :
the information is thus: $f(x)=3(x+1)^2-2$ I wish to translate up 2 units and move 2 units right.
Penny Nom lui répond.
The graph of a quadratic function 2011-12-27
Thomas pose la question :
sketch a quadratic function with zeros at -3 and 1
Penny Nom lui répond.
2 + f(x) and f(x) + 2 2011-11-21
Beth pose la question :
Do you do y=2+f(x) the same way as if the 2 came after the equation such as y=f(x) +2 when graphing?
Penny Nom lui répond.
A step function 2011-08-22
Giovanna pose la question :
An average school bus holds 45 people. Show a graph between the relationship of students who need bus transportation and number of buses required?
Robert Dawson and Penny Nom lui répond.
Linear inequalities 2011-03-25
Alice pose la question :
OK. I'm in algebra 1 and the linear inequality is
y<2x-1
y>2
I don't completely know how to graph y>2 and I'm getting really frustrated
Please help me in any way possible!
Thank You!

Penny Nom lui répond.
Points on a graph 2011-02-15
Maggie pose la question :
Which set of ordered pairs can be used to graph y = -2x-1.

A.(-5,9),(1,-3),(4,9)
B. (-2,-5),(1,-1),(5,9)
C.(-2,-5),(0,-1),(4,-3)
D. (-5,9),(-2,3),(4,-9)

I cannot figure it out. Could you help me?

Penny Nom lui répond.
The equation of a line 2010-10-19
Sava pose la question :
I have to write an equation and sketch a graph for the line that meets the given conditions:

A line with slope -15/5 that passes through the point (-2.5,4.5)

Penny Nom lui répond.
A taxi ride 2010-09-22
Jack pose la question :
A taxi ride costs you $2 for the first km and 10 cents for each tenth of a km thereafter. Sketch a graph of the total cost $C(x) for a ride of xkm, for 0 < x < 2. Hint: The graph is not smooth.

How will I start this question off? I tried the table of values method, and then graphed it, but it comes out as smooth,

Stephen La Rocque lui répond.
The intersection of two graphs 2010-06-27
Austin pose la question :
In depth explanation of how to find the intersection points of functions y=-4t+300 and y=-4.9(t-5)^2+300
Stephen La Rocque lui répond.
graph y=(2x^2-3x)e^ax 2010-05-31
James pose la question :
graph y=(2x^2-3x)e^ax
Robert Dawson lui répond.
Which values of x satisfy (x-2) / (x+4) <7 2010-05-23
Rocco pose la question :
Which values of x satisfy (x-2) / (x+4) <7
Harley Weston lui répond.
Modelling the roof of a house 2010-03-23
Sandi pose la question :
This question has been haunting my dreams at night. It states the cross section of the roof of a house is modelled by the function y= -5\12|x-12|+5, where y>0 or y. Now I'm suppose to graph the function. b) Find the slope, height, length of sides, and base of the isosceles triangle. c)Explain what transformation must be applied to the graph of y=|x| to obtain the graph of y= -5\12|x-12|+5, where y>0 or y=0. 1st I put the equation into my calculator and graphed it. I got 10 for the height. We have had 2 sub teachers this past week. The first one told me the height should be 12 the other one told me 5. So I'm really confused. If I use my 10 units as height and the Pythagorean Theorem I get my sides to be 26 units the base 48 and my slope I calc to be 5/12. Both teachers are pretty sure I'm wrong and they are right but we all have different answers. Please help put this problem to rest so I can rest soundly at night. Thank you for your time.
Penny Nom lui répond.
Sketch the graphs of the following 2010-03-02
musaf pose la question :
without detailed plotting of points,sketch the graphs of the following showing relevant information on the graphs:
a) y=(x-3)2 +5
b)y=4x-x2

Penny Nom lui répond.
The adjacency matrix of an undirected graph 2010-01-15
Bhavya pose la question :
Let Cn be the undirected graph with vertex set V = {1,2,3,...,n} and edge set E = {(1,2), (2,3), (3,4),.... , (n-1,n), (n,1)}. Let An be the adjacency matrix of Cn.
a. Find the determinant of An.
b. Find (An)^2

Robert Dawson lui répond.
Using graphs 2010-01-04
Armstrong pose la question :
Given that 50 litres of kerosine costs 6000 nira. Draw a graph and read off;
A: The costs of 15 and 34 liters.
B: The number of litres that can be bought for 2300 nira.

Robert Dawson lui répond.
f(x)=x+2sinx 2009-12-12
amroziz pose la question :
for which values of x does the graph of f(x)=x+2sinx have horizontal tangent
Harley Weston lui répond.
The graph of f(x)=1/x -2 2009-11-29
Kapilan pose la question :
Please answer the following question:
Sketch the graph of f(x)=1/x -2

Harley Weston lui répond.
The graph of f(x-2) 2009-11-19
Kapilan pose la question :
Hi please answer the following question:
Given the function f(x)=x^2 sketch the graph of f(x-2)

Robert Dawson lui répond.
f(x)= (e^x) / [(e^x)+(ex^2)] 2009-11-10
natalie pose la question :
I'm trying to graph the function, f(x)= (e^x) / (e^x)+(ex^2) [e to the x divided by e to the x plus e times x squared] I know that there aren't any vertical asymptotes, but is there a horizontal asymptote? and also, I'm stuck on finding the concavity for this graph. I tried to find f "(x), but it came out to be really long and I am not sure how to find the x values for f "(x) without using a graphic calculator. thanks, natalie
Chris Fisher and Harley Weston lui répond.
The intersection of two graphs 2009-10-30
asma pose la question :
by using the suitable scales,draw both the graph of x/2 + y/4 =3 and y=2 on the same graph paper.Find the points of intersection of the two graph.
Penny Nom lui répond.
Graphing y=(4-x^2)^5 2009-10-25
natalie pose la question :
I want to graph the curve of y=(4-x^2)^5 without using a graphing calculator. To do this, I'm suppose to find: domain, y and x intercepts, asymptotes, intervals of increase/decrease, local max/min, concavity and points of inflection. I got all the way to the step where I'm solving the concavity and I'm stuck. I found the f"(x) and it came out to be really large polynomial. I want to know how I can solve for the x of f"(x) without the use of a graphing calculator, when the polynomial has x^6 and x^8. Thank you so much, natalie
Harley Weston lui répond.
The intersection of two graphs 2009-09-02
Jaqueline pose la question :
Find the points of intersection of the graphs of the equations

x^(2 )+ y^2=25 and 2x + y = 10

Penny Nom lui répond.
y=2x+1 and y=2x-1 2009-08-28
MARICELA pose la question :
Need help of how to work this problems

y=2x+1 and y=2x-1

First of all what is the difference?

Second I think is easy just to work with the X y with the line in the middle

but how do you get the numbers for each side.

Penny Nom lui répond.
Graph 2x-3y+15=0 2009-08-20
Diem pose la question :
Graph 2x-3y+15=0
Leeanne Boehm lui répond.
How many times does the graph of y=2xsquared -2x + 3 intersect the x-axis? 2009-05-27
Henry pose la question :
how many times does the graph of y=2xsquared -2x + 3 intersect the x-axis?
Penny Nom lui répond.
Stairway construction 2009-05-02
Olivia pose la question :
Hi, I'm Olivia and I'm in 8th grade studying algebra 1. I'm having some trouble with my math project. It has to do with rules of stairway construction. It says that there are two generally accepted rules to building stairs. Rule 1: x+y=43 and x+y=46 (cm) Rule 2: 2y+x=61 and 2y+x=64 (y is the riser and x is the tread length) I cant figure out how to graph them...it says they're supposed to intersect to make a square which is like the safety zone for building stairs (the stairs' rise and tread lengths are plotted as points) any points outside of that square are considered unsafe. Did i explain it ok? Thanks for your help. --olivia
Penny Nom lui répond.
The graph of y = 4x^-4 2009-04-07
lyric pose la question :
tell whether the graph opens up or down.write an equation of the axis of symmetry
y=4x^-4

Penny Nom lui répond.
A simple digraph 2009-03-23
Shabkhal pose la question :
Show that the sum of in degrees of all the nodes of a simple digraph is equal to the sum of out degrees of all its nodes and this sum is equal to the number of edges of the graph.
Victoria West lui répond.
An equation for a line with a changing slope 2009-03-21
Ben pose la question :
Is there anyway to write an equation for a line with a changing slope. e.g. A cell [hone company has a initial fee of 50$ paying for the first 100 minutes, the rate then increases to 10 cents per minute, then at 500 minutes the rate is 5 cents per minute.

If so please tell how.
Thanks

Penny Nom lui répond.
The graph of y = -6 2009-02-21
Barb pose la question :
I was given the problem that says "graph the line y = -6" how do I find all the set points that have a y coordinate of -6? I am so lost lost and have no clue how to start. Can you help me please? thanks.
Penny Nom lui répond.
The intersection of two lines 2009-01-30
kaylee pose la question :
how do you find and graph the intersect of these two equations: y=2x-4 (and) 2y=x thanks, kaylee
Stephen La Rocque lui répond.
y = |x| - 4 2009-01-28
tiana pose la question :
how do you find where to plot Y in a problem that states y=|x| -4?
Robert Dawson and Penny Nom lui répond.
Graphing a parabola 2009-01-27
Kimberly pose la question :
I need help with this parabola: graph y=5x^2-5x-6. I am not really understanding how to graph parabolas in general. Can you help me?
Penny Nom lui répond.
Graphing 2008-12-09
Natasha pose la question :
2x+y=5
Robert Dawson lui répond.
Graphing Rational Functions 2008-12-05
Bahra pose la question :
The question in my homework is: Find all vertical, horizontal, and slant asymptotes, x- and y-intercepts, and symetries, and then graph each function. Check your work with a graphing calculator. y=3/x+3 meanng: ( y= 3 over x+3)
Janice Cotcher lui répond.
Scaling a logo 2008-10-20
Carl pose la question :
Hello! I hope that you can help me out here. I've been trying to figure this out for awhile now and can't come up with the answer logically. I am a graphic designer by trade and need to figure out how large my client's logo should be. The logo will need to be sized proportionally with the surface area of the page. The logo will always be sized at 1.2938(w) x .75(h) on a letter size page (8.5 x 11).
My question is...
When you increase the size of the page (not always proportionally sized - dimensionally) how do figure out the NEW size of the logo. I could have a page 20" x 40" or 30' x 4'... or ANY size really. I believe I have the new surface area of the logo but can't find the new dimensions.

Harley Weston lui répond.
Concavity and the second derivative 2008-10-15
Christina pose la question :
I'm having trouble solving for a second derivative for the following graphing question.

f(x) = (X^2+2x+4)/2x

using the quotient rule, I found:
f'(x) = (x^2-4)/(2x^2)

however, using the quotient rule again I can't seem to solve it (concavity):
f'''(x)=[(2x)(2x^2)-(x^2-4)(4x)]/[(2x^2)^2]
f''(x)=[(4x^3-(4x^3 -16x)]/4x^4
f''(x)=16x/4x^4
f''(x)=4/x^3

and making the equation equal to zero result in 0=4 which doesn't seem to make sense...

Penny Nom lui répond.
Graphing a piecewise function 2008-08-12
Shanti pose la question :
how do you graph a step function or piecewise function such as
u^2 if u is greater than or equal to -2 and less than 1
2- u if u is greater than or equal to 1 and less than 4

Penny Nom lui répond.
Two equations in two unknowns 2008-08-01
James pose la question :
Question from james, a student:

3x+2y=9;24x-2y=18

My math teacher says that it is (2,-4)

Can someone please explain how to figure this out by graphing?

Victoria West lui répond.
Graphing Using Double Angle Identities 2008-07-16
Hodan pose la question :
the Question is: Describe how you could use your knowledge of Double angle formulas to sketch the graph of each function. Include a sketch with your description.A) F(x)=sin x cos x B)F(x)=2 cos(squared)x C) F(x)= tan(x) (divided) by 1-tan(squared) x
Janice Cotcher lui répond.
Domain & Range of a Periodic Function 2008-07-11
Michelle pose la question :
The depth, w metres, of water in a lake can be modelled by the function, w=5sin(31.5n+63) +12 where n is the number of months since January 1, 1995. Identify and explain the restrictions on the domain and range of this function.
Janice Cotcher lui répond.
A point on a graph 2008-07-08
Rita pose la question :
If (2, b) is a point on the graph of y = (x^2) + 4x, find the value of b.
Leeanne Boehm lui répond.
Points on a graph 2008-07-03
Rita pose la question :
Dertermine if the given 3 points are on the graph of the equation.

Equation: y = (x^3) - [2(sqrt{x})]

Points: (0, 0); (1, 1); (1, -1)

Penny Nom lui répond.
A piecewise equation 2008-06-16
John pose la question :
AT&T charges $39.99 for 450 minutes per month. It charges 45 cents per minute over the 450 minutes. How can I make a piecewise equation of this problem?
Penny Nom lui répond.
The wedges in a circle graph 2008-05-18
Libby pose la question :
I don't understand how to do this word problem: The cafeteria workers distributed a survey to the student body asking students to pick 1 from a list of 5 choices for their favorite lunch. The circle graph below gives the results of the survey for the students who responded. What is the measure, in degrees, of the central angle for each choice?

And there is a pie chart that has food choices with these percentages: 25%, 20%, 15%, 10%, and 30%

Leeanne Boehm and Penny Nom lui répond.
Identify the graph 2008-05-05
A parent pose la question :
Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer.
y = 2x
y = log2x
I can figure out what line on the graph is which equation but unsure what is meant by justify your answer.

Penny Nom lui répond.
How would I graph: x - 2 divided by x^2 - 4? 2008-03-19
Sean pose la question :
How would I graph: x - 2 divided by x^2 - 4 using a method in extreme values of functions or completing the square

x - 2/ x^2-4

Stephen La Rocque lui répond.
Graph the equation P(x)= x^3 + x^2 -12x 2008-03-18
Sean pose la question :
I want to graph the equation : P(x)= x^3 + x^2 -12x I was thinking that I would combine the x-values, but then I could not use the complete the square technique. Would I have to just solve the second half of the equation and then graph x^3 seperately
Penny Nom lui répond.
Pythagorean equation 2008-02-27
Judy pose la question :
X^2 + Y^2 = 5^2
Graph all ordered pairs in the coordiante plane that satisfy the Pythagorean equation, x squared plus y squared equals five squared

Stephen La Rocque lui répond.
How do I graph y = -2x^2? 2008-02-12
Max pose la question :
How do I graph y=-2x^2?
Penny Nom lui répond.
Graphing a parabola 2008-01-16
Sean pose la question :
How do I find the roots and describe the roots when graphing a parabola?

y = - x^2 - 4x -3

Stephen La Rocque lui répond.
Pie graphs 2008-01-15
amarilis pose la question :
explain why circle graphs are called pie graph or pie charts
Stephen La Rocque lui répond.
Finding the equation of a line from its graph 2007-12-25
ken pose la question :
I have a graph and it is asking me to find the slope of each line, and then write its equation. the graph show a negative slope. Would appreciate the answer if you could show me how to do this question.
Kind regards: Ken

Stephen La Rocque lui répond.
Pictographs 2007-12-11
eniyah pose la question :
The title of my pictograph is Favorite pets. I have two columns. in my first column is the kind of pet and the second column is the numbers of students, the dogs have 16 student that like them and cats have ten students the likes them. each pictures equals 2 stodents my question is. i have to draw paictures to show the number of students for each row. the key says each symbol equals 2 students. since 16 divided by 2 is 8 can you show me how to make this in a graph
Stephen La Rocque lui répond.
Plotting a function 2007-12-06
Paula pose la question :
My son has a problem that says plot the point: 2x-3y=9
I have explained to him that there must be a function for y in order to plot that point, but he doesn't think so. The question above that one says find the function for y, and I assume we should use that function. Am I wrong? Can we plot a point without a y function.

Stephen La Rocque lui répond.
Two lines 2007-11-18
Kate pose la question :
represent qraphically the equations of these lines and their intersecting points

x-y=2 3x+y=11

Penny Nom lui répond.
Area of a triangle formed by three points on a graph 2007-10-26
Betty pose la question :
My question is 'find the are of a triangle whose vertices have coordinates (3,5),(6,-5), and (-4,10)
Stephen La Rocque lui répond.
A graph with 100 vertices 2007-10-24
amarjeet pose la question :
let g be a graph with 100 vertices numbered 1 to 100. Two vertices i and j are adjacent only if i-j=8 or i-j=12. The number of connected components in g are:
1. 8
2. 12
3. 4
4. 25

Penny Nom and Victoria West lui répond.
x = y^2 and x = -4 y^2 2007-09-11
Jil pose la question :
My question is when dealing with parabolas, x=y^2, so that they are sifted on their side you could say, what will happen to the graph if you change it to x=-4y^2. I understand that the - flips the graph in the other direction but can you simply just plug in numbers and increase the stretch of the y?
Penny Nom lui répond.
What feature on a graph shows the solution? 2007-08-19
San pose la question :
To solve the equation 2sinx+square root 3=0, what feature of the graph, in the form y=asinx+b would show the solution? Draw a graph to show the solution. thanks.
Stephen La Rocque lui répond.
Explain how you can shift a parabola up two units 2007-08-14
Marsia pose la question :
Explain how you can shift a parabola up two units (y axis).
Stephen La Rocque lui répond.
Paying off a loan 2007-08-08
Iona pose la question :
I borrowed $6000. 00 from a friend to pay school fee. He said I should not pay back any interest but pay $350.00 monthly after graduation. (1) Make an equation from the above (2) make a graph (3) what is the relationship between the months after graduation and the loan? (4) what is the horizontal and vertical intercept relate to the problem?
Stephen La Rocque lui répond.
The graph of a log function 2007-07-30
Marsia pose la question :
How would you describe to another student what the graph of a logarithmic function looks like?
Penny Nom lui répond.
Period of a sum of trig functions 2007-06-17
Aakash pose la question :
the period of the function f(x)=cos3x+sin4x+tan4x
Stephen La Rocque lui répond.
Parabolas 2007-05-16
Andy pose la question :
How do you write an equation of a parabola that opens to the left with a vertex of (2,-6)?
Stephen La Rocque lui répond.
Finding a parabola's equation by looking at its graph 2007-04-30
Kenzie pose la question :
The graph shows an arrow going upward crossing at the -2 on the x line and crossing the 3 on the x line and the vertex on the -6 on the y line.
Stephen La Rocque lui répond.
A sketch of a quadratic equation 2007-04-14
Fee pose la question :
A ball is thrown upward from the roof of a 25m building. The ball reaches a height of 45m above the ground after 2s and hits the ground 5s after being thrown. Use the fact that the realtion between the height of the projectile and time is quadratic to draw an accurate graph of the relation on graph paper.
Penny Nom lui répond.
Graphing a line 2007-03-23
mitchell pose la question :
Graph each equation. y = 2x + 4
Jaymi Peterson and Haley Ess lui répond.
A pictograph 2007-03-14
Angie pose la question :
I am confused! I have to include a title, labels, and a key: Here is the problem

Snickers 45
Kit Kats 65
Nerds 30
Kisses 50
Suckers 75

With the above information please help me make a candy pictograph

I would gladly like your help as my child is a second grader and can not tell me anything about a pictograph

Penny Nom lui répond.
Statistics data 2007-03-08
Parnini pose la question :
The following table shows the expenditure on different household items by a family. Draw a line graph for the following data:
Items : Food Rent Cloth Education Saving Others
Expenditure : 2000 2.500 1.500 1.200 4000 3.500

Stephen La Rocque lui répond.
y = x^2 - 2 2007-01-08
Mike pose la question :
Graph the quadratic equation: y=Xsq-2
Penny Nom lui répond.
A linear system 2007-01-04
Harold pose la question :
System A (4, 2/3)
2x-3y=6 and x-3y=2

I approached this problem using the addition method.

Could i have found the answer using the graphing method?

Penny Nom lui répond.
y = |x| - 10 2006-11-03
Pam pose la question :
what is the process for finding the vertex point for an equation such as this, y= |x| - 10.
Penny Nom lui répond.
Plotting a linear equation 2006-10-09
Jennifer pose la question :

I am having problems explaining how to do these problems to my child .

graph:2=x-y

graph the equation: 2y+x=-3


Penny Nom lui répond.
Find the points of intersection 2006-08-18
Ingrid pose la question :

The question says find the points of intersection of the graphs of the equation, and check your results analytically.

x squared + y squared=25
2x+ y=10


Stephen La Rocque lui répond.
A hamiltonian circuit 2006-07-24
Tom pose la question :

1)Prove that every simple not directed graph with 21 vertices and 208 edges has
a hamiltonian circuit but not an Euler circuit.

(I have proved that if we give the 2 edges for each vertices then after a few
steps I have 21 vertices of odd degree and 19 edges.So in the end I have 2
vertices of odd degree.So I have not an Euler circuit.But how can I prove that
there is a Hamiltonian one?)

2)If G is a tree and has a virtex k degree,prove that it also has at least k
vertices degree 1.


Penny Nom lui répond.
What will the graph of y=x2 - 2x - 3 be? 2006-06-17
Byrony pose la question :
What will the graph of y=x2 - 2x - 3 be?
Steve La Rocque lui répond.
How do you graph 3x + 6y = -9 by axis intercepts? 2006-05-22
Crystal pose la question :
How do you graph 3x + 6y = -9 by axis intercepts?
Penny Nom lui répond.
Geometric sequence and basic functions (graphs) 2006-04-20
Marlene pose la question :
Which of the basic functions is related to the geometric sequence: Linear, Quadratic, Rational, or Exponential? Can you give me an example of how it would be used in normal life?
Stephen La Rocque lui répond.
An epicycloid 2006-04-10
Sharon pose la question :
What is the name of the curve formed by a point on the circumference of a circle that rolls on the outside of a fixed circle? This curve is used in the study of gears.
Stephen La Rocque and Penny Nom lui répond.
A table of values 2006-03-28
Cindy pose la question :
Create a table of values for each of the following functions: y=5x, y=52, and y=5x. I dont know to do this.
Stephen La Rocque lui répond.
The graph of y = 2x + 1 2006-02-23
Geneva pose la question :
I'm having trouble with graphing equations like y=2x+1 which is my homework I'm not sure how to graph it. I'm in the 8th grade taking a 9th grade course algebra I.
Penny Nom lui répond.
Whose photo is he looking at? 2006-02-19
Adeyeri pose la question :
Looking at a picture a man says, that the father of the person (in photo) is the son of my father. whose photo is he looking at?
Penny Nom lui répond.
Broken-line graphs and histograms 2006-02-16
George pose la question :

1. What is the main difference between a broken-line graph and a histogram? Both represent continuous variables.

2. What is the correct way to read a multiplication array: x-axis first and then y-axis, other way around or it doesn't matter?


Penny Nom lui répond.
Intercepts and slope 2006-01-15
Anthony pose la question :
Given -1.7x + 0.8y=7.1:

(a) state the intercepts and slope for the graph

(b) Draw the graph

Penny Nom lui répond.
Graphing two lines 2005-11-20
A student pose la question :
About y = 5x + 24 and y = -3x - 8
1. Graph both equations on the same set of axes. When you made your graph, how did you choose the range of x and y values?


2.Find the point of intersection for the graphs.


3. Test the point of intersection you found by substituting its coordinates into the equations. Do the coordinates fit the equations exactly?

Penny Nom lui répond.
Open dots and closed dots 2005-09-29
Cynthia pose la question :
When graphing the solutions of an inequality, what is the difference between an open dot and a closed dot?
Penny lui répond.
Graphing a linear inequality 2005-08-26
Gina pose la question :
When graphing a linear inequality, how do you know if the inequality represents the area above the line?
Penny Nom lui répond.
Graphing an inequality 2005-05-02
Janice pose la question :
I need to know how to graph inequalities. I need to know just abot everything. From graphing an equation to shading.
Leeanne Boehm lui répond.
Graphing inequalities 2005-02-15
Melanie pose la question :
Solve and Graph the following variable inequalities:

y<2x+4

y>-2x+6

3x+4y<-24

4x-6y>-24

Penny lui répond.
A graph with certain properties 2004-11-22
A student pose la question :
i was asked as a question in coursework to sketch the graph with the following characteristics:
a double root at -3
a pair of imaginary roots
an x-intercept at 6
a root at 4 which is not a double root

Penny Nom lui répond.
The points of intersection of two graphs 2004-11-05
Benjamin pose la question :
How do I find the points of intersection of the two functions:
1) y =
2 - e-x 2) y = 1 + x2

Harley Weston lui répond.
f(x) = x-4 if x<2 2004-09-21
Dani pose la question :
Hi, my name is Dani. I'm in tenth grade Algebra 2, and I'm learning about a lot of different kinds of functions, and I can't quite seem to understand how every part of the piecewise function works. I understand most of it, I think, but I've been looking at an example in my math book, and I'm not sure how they got the answer they did. The part I don't understand reads: "Graph f(x) = x-4 if x<2" and "Identify the domain and range." The picture in the book shows an open circle at (2,-2), with an arrow going down and to the left with the slope being one. How did they get the open circle to be at (2,-2), and why does the arrow point where it does?
Penny Nom lui répond.
The intersection of two graphs 2004-07-28
JJ pose la question :
Is there a way to find the intersections of these graphs algebraically?

x^2 + y = 4 & 2x - y = 1

I got (1.45, 1.9) and (-3.45, -7.9) with a graphing calculator.

AND THESE...

y = 3.29x & y = 5.5(x^0.5)+ 10000

I got x at 3133 with a graphing calculator.

Penny Nom lui répond.
The commuter 2004-07-14
JJ pose la question :
A student who commutes 27 mi. to college remembers, after driving a few minutes, he forgot a term paper. Driving faster than usual, he returns home, gets the paper, and once again starts to school. Sketch the graph of the student's distance from home as a function of time.

Does it mean that the student drives at normal speed, drives faster to pick up the paper, and resumes normal speed to head back, or that the student drives at normal speed, then drives faster the rest of the way to college?

Penny Nom lui répond.
The intersection of two graphs 2004-03-31
Benjanim pose la question :
How do I find the points of intersection of the two functions:

1) y = 2 - (e^-x)
2) y = 1 + (x^2)

I know that I have to set them equal to each other, but I can't solve for x. Please help :-)

Penny Nom lui répond.
The degree sequence of a graph 2004-03-31
Ali pose la question :
How can i find out {6,6,5,5,5,3,2}is not the sequence of the points of a simple graph,without drawing it?
Penny Nom lui répond.
Graphing lines 2004-02-08
A student pose la question :
how do you solve y=1\3x+3 and y=1\3x-3 by graphing?
Penny Nom lui répond.
Intercepts 2003-11-04
A student pose la question :
I am totally confused on how to determine intercepts of an equation and then to graph the line. For example, how to determine the intercepts of 2x-3y-12=0.
Penny Nom lui répond.
Trees 2003-10-28
Ali pose la question :
Is there any formula for counting the number of trees (graphs)?
Denis Hanson lui répond.
A parabola 2003-10-24
Delores pose la question :
Given the vertex (4, -2) y intercept = -6 find if/where the parabola crosses the x axis?
Penny Nom lui répond.
The sketch of a graph 2003-10-07
A student pose la question :
I was wondering how do you figure out if a graph has a horizontal tangent line. One of my homework problem was to sketch the graph of the following function; (4/3)x3-2x2+x. I set f''(x) ( the second derivative) of the function equal to zero and got the inflection point:(1/2,1/6). Also i am having trouble finding the concavity for x>1/2 and x<1/2, i am getting a different answer from the back of the book, the graph i draw looks completely different from the correct answer.
Penny Nom lui répond.
Functions, graphs and derivatives 2003-10-05
Jathiyah pose la question :
I wanted to know how would you tell (on a graph diplaying two funtions), which funtion is the derivative of the other?
Walter Whiteley lui répond.
Graphing a piecewise function 2003-08-24
Amber pose la question :
How do i begin to graph a piecewise function, absolute function or step function?
Penny Nom lui répond.
Two intersecting graphs 2003-04-23
Patty pose la question :

a) graph the equation

x2 - y - 4 = 0

x2 + y2 = 9
on the same set of coordinate axes.

I did not have a problem with this.

The problem is part (b) of the question ask: Find all solutions of the system in part (a) algebraically. Express answers in decimal form, accurate to two decimal places.


Penny Nom lui répond.
y < 2x + 1 2003-03-01
Erika pose la question :
how can I solve and graph y<2x+1 and which side in the graph should i shade after i finish solving my inequality?
Penny Nom lui répond.
y = 1 - sin(x + 60) 2002-12-10
Eman pose la question :
Sketch the graph of y = 1 - sin(x+60). for 0 <= x<= 360, giving the coordinates of the maximum and minimum points and the pints where the curves crosses the y axis.
Penny Nom lui répond.
Performance reviews 2002-11-21
Lara pose la question :
Perhaps you can help.

He's doing performance reviews at work.

The average performance review is 3.92 on a 5.0 scale. This person would receive a 3.5% raise for next year.

The highest performance review is 4.9 and this person would recieve a 6.0% raise for next year.

How do I solve for the other performance review numbers.


Penny Nom lui répond.
Intercepts 2002-09-04
Tamara pose la question :
Why is it that the x intercept the value of y is 0 and at the y intercept the value of x is 0?
Leeanne Boehm lui répond.
A schedule for a fantasy football league 2002-09-01
Steve pose la question :
i am in a ten(10) team league, split evenly into two five team divisions. we play a thirteen(13) game schedule and would like to play each team in your own division twice, and each team in the other division once. according to my rudimentary mathematics that equals 13 games. a good schedule should look somthing like this: team 1-5 = division 1 team 6-10 = division 2 team 1 should play teams 2-5 twice and teams 6-10 once.
Claude Tardif lui répond.
When does an inequality represent the area above the line? 2002-08-25
Tamara pose la question :
How do you determine that an inequality represents the area above the line and when do you include the line in the solution?
Penny Nom lui répond.
A polynomial 2002-04-14
A student pose la question :
A polynomial function is described by the following conditions: f(x) has two real zeros at x= -2 and x= 1, each of multiplicity 2 f(x) has two complex zeros as x goes to -infinity, f(x) goes to +infinity as x goes to +infinity, f(x) goes to +infinity f(x) has a y-intercept at (0,2)

Sketch a polynomial function that satisfies the above conditions.

Write an equation for function f(x)

Write another function g(x) that also satisfies the above parameters.


Penny Nom lui répond.
x and y-intercepts 2002-03-10
A student pose la question :
I have the problem- f(x)= X-5/X2+X-6 and I have to find the vertical asymtope, horizontal asymtope, x-intercept, and y-intercept. And graph the problem. I am having problems finding the y-intercept.
Harley Weston lui répond.
Applied geometry 2001-11-02
Jenny pose la question :
Where can I find some hands-on activities for my Applied Geometry classes? I want to do more activities with them that allow us to get out of the classroom. However, I want to use activities that use only inexpensive equipment because I usually buy the equipment myself.
Walter Whiteley lui répond.
Double bar graphs 2001-09-09
Leslie pose la question :
My daughter has a homework problem in which she is graphing data from two frequency tables onto a double bar graph. The graph shows how many students worked in a program in two different years, grouped by age. In the first age group, one of the years has no students working, while there were students in that age group in the other year.
Penny Nom lui répond.
Graphing equations 2001-05-01
A student pose la question :
If, for example, 4x2-12x+9=0 and -4x2+12x-9=0, which I'm assuming it does since you can derive that equation from the first, why do those two equations have different graphs?
Penny Nom lui répond.
f(x), f(x) + 2, f(x +2) 2001-04-04
Monica pose la question :
Could you explain to me how one should go about graphing functions such as f(x), f(x+2), and so on. Also, how should you explain things such as constants and relationships among functions?
Penny Nom lui répond.
Graphing F(x) = 3x 2000-11-06
Jose pose la question :
graph the exponential problem F(x)=3x
Harley Weston lui répond.
Graphing an inequality 2000-08-02
Lori pose la question :
How do I find x and y and graph this problem

3x + y < 5


Penny Nom lui répond.
Graphing a linear function 2000-05-17
Chelsea pose la question :
I need help with grahing linear functions.If you could e-mail me back the basics and how tos I would be much appriciative.
Penny Nom lui répond.
A matrix equation 2000-05-14
A student pose la question :
Right now, we are dealing with matrices and we are supposed to solve the following problem on our graphing-calculators: 2a+3b-4c+d=20
a-2b+3c-5d=-14
3a+4b-2c+3d=19
5a-b+6c+4d=-5

Penny Nom lui répond.
Graphing cube roots 2000-04-27
Heather Jones pose la question :
What do the graphs of cube roots look like?
Walter Whiteley lui répond.
Functions 2000-01-23
Tara pose la question :
Hi my name is Tara, I have two math problems that I need help with in my calculus math class.

  1. If f(x)= x - 2 show that (x+3)f(x)-(x+2)f(x+1)+4=0

  2. Graph this function and use the graph to determine the range y=2x2 - 8x - 3

Harley Weston lui répond.
Bar graphs and histograms 2000-01-11
Raeluck pose la question :
What is the difference between a bar graph and a histogram?
Harley Weston lui répond.
Factoring by graphing 2000-01-11
Dylan Kirkwood pose la question :
How can you factor a quadratic equation by graphing it?
Penny Nom lui répond.
Y-intercept 2000-01-03
Kayla Boylan pose la question :
How do you use and find the y-intercept?
Penny Nom lui répond.
Graph of a sine function 1999-12-23
Pierre pose la question :
Given;
amplitute:1
period: 540
Phase shift: 60 degree,right

I am ask to right the equation: sin 2/3 (value -60degree)

When I am asked to graph the equation, the period is mixing me up.
Harley Weston lui répond.

Crossing number 1999-11-06
Christian pose la question :
The crossing number of a graph G, denoted cr(G) is defined to be the minimum number of (pairwise) crossings of edges among all drawings of the graph in the plane. For example, cr(K5)=1 and cr(K3,3)=1.
What is cr(K7,7)?

I figured out that the answer is 81.

Now I am trying to figure out if K7,7 can be drawn in the plane with less than 81 crossings?

I'm not sure how to approach this one. Other than actually drawing it out and checking by trial and error, I am not sure how to approach this problem. Please help!
Denis Hanson lui répond.

A pictograph 1999-10-28
Ali pose la question :
Please tell me how to make a pictograph.I am 2 grade student.
Penny Nom lui répond.
Broken line graphs 1999-10-19
Lori Samara, Kristi Cameron and the 4th grade students pose la question :
Students in Ms. Cameron's grade 4 class were wondering if a broken line can be used anywhere in the range on the y - axis when creating a broken line graph? They understand that the broken line can be used at the 0 on the broken line but what if there is a large gap in the data from 100 - 200? What do we do? The text book and mathematics dictionary do not answer these questions.
Penny Nom lui répond.
Intercepts 1999-09-24
Cassandra pose la question :
My book says to find where the X and Y intercept, i dont understand who to do this problem. Can you please help here is the problem. it didnt quite explain the instructions.
Penny Nom lui répond.
Stem and Leaf Plot 1999-09-14
Jeanette Sovick pose la question :
My 5th grade son brought home a math paper, the title of which reads, Reading Stem-and-Leaf Plots...can you explain this so I can explain it to him...There is no book, his teacher just sent this practice sheet home for him to complete and I have no clue!
Penny Nom lui répond.
Graphing a linear equation 1999-05-27
Dylan Bradley pose la question :
Im in Grade ten and am doing linear equations, I cann't figure out how to make a chart for questions like y = -2x + 3
Penny Nom lui répond.
Dotted graph paper 1999-04-08
Bridget Winward pose la question :
A teacher at our school is trying to locate dotted graph paper online or in print. His class would like to make three dimensional, geometerical drawings.
Please let us know if you have a good source.

Jack LeSage lui répond.
Graphing the Derivative 1999-01-18
Milena Ghebre pose la question :
This question has been nagging me for sometime now.

Is there a way of finding out the derivative of a function, just by looking at the graph of it?
Walter Whiteley lui répond.

Complex numbers and the quadratic formula 1998-12-25
Richard Peter pose la question :
My age is 16, and my name is Richard. My question relates to the topic complex numbers & the quadratic formula.

I would like to know how to solve quadratic equations in which the discriminant is less than 0 (i.e. we get two complex solutions to the quadratic)

3x2+2x+5 = 0

and how mathematicians like euler contributed to this field. If it would be possible I would also like to know how this type of quadratic equations can be graphed?
Harley Weston lui répond.

Intersection of planes 1998-11-22
Dave Rasmussen pose la question :
I am a teacher of secondary mathematics with a question about the uses of Three Dimensional Co-ordinate Geometry. I have been teaching my students to write equations of planes and lines, - to find the intersection of these and the distance between them. What I am having difficulty finding are good applications of these techniques to "real world" situations. Can anybody help me?
Walter Whiteley and Harley Weston lui répond.
Points on a Graph 1998-10-03
Nouver Cheung pose la question :
If the point P(-3,2) is on the graph of y=f(2x-1), what point must be on y=f(x)-3?
Harley Weston lui répond.
Graph question 1998-05-12
Rose Seminary pose la question :
Why is the point of intersection of two lines the solution to the corresponding system of equations?
Penny Nom lui répond.
Graph Distortion 1998-02-19
Dana Steffan pose la question :
What exactly is graph distortion? I have to explain it for a project and I can't seem to find anything on it.
Penny Nom lui répond.
The two-digit numbers from 10-99 1998-01-21
Alexis Riddle pose la question :
My name is Alexis. I'm a student in 8th grade and I'm taking Algebra I Honors. My question is: In a string of numbers, two adjacent digits are considered as a two-digit number. For instance, the string 11012 contains the numbers 10, 11, and 12. What is the number of digits in the smallest string that contains all of the two-digit numbers from 10-99? Please help and thank you for any assistance you can give me.
Penny Nom lui répond.
Quadratic Graphs 1998-01-13
Simon Batten pose la question :
How does varying the values a,b and c affect the graph of
y=ax2 + bx + c?

Harley Weston lui répond.
(-2)^x 1997-12-12
Ken Bokinac pose la question :
During our math class last week we came accross an equation that we could not graph we were wondering if you could help us try and graph it. The question is:

y=(-2)^x
Harley Weston lui répond.

Graphing Inequalities of Conic Sections 1997-03-24
James Sheldon pose la question :
I'm trying to graph Systems of Conic Sections with inequalities, but I'm running into problems on which area to shade:
x^2+y^2 is greater than or equal to 16
xy > 4

So I graph these two equations, and then my teacher said to substitute a point into it but I'm still not sure how to do it...
Penny Nom lui répond.

Where do 2^x and x^2 intersect? 1996-07-23
Darin M Selfridge pose la question :
The intersecting points of y=2^x and y=x^2, graphed along with x^2=2^x, are obviously three... (2,4), (4,16) and (?,?). I am having problems figuring out the value, and even an equation for the (?,?). Can you help?
Harley Weston Chris Fisher lui répond.
How do you graph these inequalities? 1996-05-17
Robert pose la question :
How do you graph the inequalities 5+gg, and g+h>6 on one coordinate plane?
Harley Weston and Maxine Stinka lui répond.
How do you graph these equations? 1996-04-30
David Gamble pose la question :
How do you graph the equation x=3 on a x,y graph? Also how do you graph f(x)=-3x + 2 on the same graph?
Harley Weston and Maxine Stinka lui répond.
 
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