Use a formula to write an equation for each problem, then solve it.A rectangular Persian carpet has a perimeter of 184 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?
A. width = 68 in.; length = 92 in.
B. width = 34 in.; length = 58 in.
C. width = 80 in.; length = 104 in.
D. width = 58 in.; length = 82 in.
Answer: B
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Use substitution to factor the trinomial.7y10 - 41y5 - 56
A. (7y5 + 8)(y5 - 7) B. y8(7y + 8)(y - 7) C. (7y5 + 7y3 + 8)(y5 - 8y3 - 7) D. (7y5 - 8)(y5 + 7)
Sketch D and g(D) from the description of D and change of variables 
x = u2 - v2, y = 2uv where D is the rectangle 0 ? u ? 1, 0 ? v ? 1
A.
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B. None of these.
C.
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D.
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Decide whether or not the functions are inverses of each other.f(x) = 2x + 4, g(x) = 
x - 2
A. No B. Yes
Solve the problem.A 507-seat theater will sell tickets at $20 and $15 for a particular concert. Let x and y represent the number of tickets that will sell for $20 and $15, respectively. Assume that the show will sell out. How many of each ticket must be sold for the revenue to be $8345?
A. 269 tickets at $20 238 tickets at $15 B. 238 tickets at $20 269 tickets at $15 C. 148 tickets at $20 359 tickets at $15 D. 359 tickets at $20 148 tickets at $15