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Solving four simultaneous equations (system of four linear equations) |
2007-10-07 |
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Johan pose la question :
I need some help in solving this question
x + 2y - 3z + 4w = 12
2x + 2y - 2z + 3w = 10
0 + y + z + 0 = -1
x - y + z - 2w = -4
Stephen La Rocque lui répond. |
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Direct variation |
2007-10-07 |
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Kimberly pose la question :
If y is directly proportional to the square of x,
and x=2 when y=12, then what is the value of y when x=3?
Penny Nom lui répond. |
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Problems solved using quadratic equations |
2007-10-07 |
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Lisa pose la question :
a. Two positive numbers differ by 5. Their product is 234. What are the two numbers?
b. The sum of two numbers is 12. Their product is 30. What are the two numbers?
c.Two numbers differ by 5. Their squares differ by 55. What are the two numbers?
d. The sum of two numbers is 15. Their product is 56. By forming an equation, find the two numbers.
Penny Nom lui répond. |
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2 aces and 3 kings |
2007-10-05 |
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Becky pose la question :
How many 5-card poker hands consisting of 2 aces and 3 kings are possible with an ordinary 52-card deck?
Penny Nom lui répond. |
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How long was she be raking leaves? |
2007-10-05 |
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Skylar pose la question :
A family is raking leaves. Betsy fills 3 bags to every 2 bags the Meri fill. After a while, Jim joins them. He fills 3 bags to every 2 bags that Betsy fills, but he only works half as long. When finished, they have completely filled 58 bags. If Meri takes 6 minutes to fill one bag, how long was she raking leaves?
Chris Langdon lui répond. |
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Roof trusses |
2007-10-05 |
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Mary pose la question :
I need to know how algebra is used in making or designing of roof trusses for a house. I have to present a poster in class showing how algebra is used in daily jobs. My dad works at a truss company.
Chris Langdon lui répond. |
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Number of real solutions |
2007-10-05 |
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Sujith pose la question :
The no of real solutions of the equations 1+x+x^2+x^3 = x^4+x^5 is ?
Harley Weston lui répond. |
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Solve for K |
2007-10-05 |
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Ben pose la question :
Solve the formula for K
C=30d+0.10k
Stephen La Rocque lui répond. |
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Triangle perimeter and area |
2007-10-05 |
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divakar pose la question :
The sides of the triangle are integers. The perimeter is 8. What is the area?
Stephen La Rocque lui répond. |
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Solving arithmetic problems in the right order (BEDMAS) |
2007-10-05 |
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Kim pose la question :
3+4x2-(10 divided by 5)= what?
Penny Nom lui répond. |
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Find the equation of a line given two points |
2007-10-05 |
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Tiffany pose la question :
The equation for the line through the points (11,2) and (18,12) can be written in the form Ax+By=C.
Find A and B.
Victoria West lui répond. |
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Maximizing profits II |
2007-10-05 |
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a student pose la question :
Suppose there are three firms with the same demand function. The function is Q=1000-40P. Each firm also a a cost function.
Firm 1: 4000+5Q,
Firm 2: 3000+5Q,
Firm 3: 3000+7Q.
What price should each firm charge if it wants to maximize profits.
Harley Weston lui répond. |
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Maximizing profit |
2007-10-05 |
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a student pose la question :
Use the following equation to demonstrate how a firm that produces at MR=MC can also maximize its total profit. The equations to use are
P=170-5Q
TC=40+50Q+5Q^2
Harley Weston lui répond. |
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Show that there is no five-digit number which |
2007-10-04 |
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Greg pose la question :
show that there is no five-digit number which uses each of the digits 1,2,3,4,5 such that the numbers formed
by the first digit is divisible by 1,
by the first two digits is divisible by 2
by the first three digits is divisible by 3,
by the first four digits is divisible by 4,
by the first five digits is divisible by 5
Stephen La Rocque, Claude Tradif and Victoria West lui répond. |
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Equation of a tangent line to a function |
2007-10-04 |
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Princess pose la question :
If f ' (x) = 3x^2 +1, find the equation of
the tangent line to f(x) = x^3 + x at x= -1.
Stephen La Rocque lui répond. |
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