Solve the problem.A rectangular carpet has a perimeter of 270 inches. The length of the carpet is 101 inches more than the width. Determine the dimensions of the carpet by solving the equation 2w + 2(w + 101) = 270, where w represents the carpet width.
A. 118 by 135 in.
B. 126.5 by 135 in.
C. 76 by 93 in.
D. 118 by 17 in.
Answer: D
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Use synthetic division to find the quotient and the remainder.(5x3 + 2x2 - x) ÷ (x + 2)
A. Q(x) = (5x2 + 8x - 17); R(x) = 34 B. Q(x) = (5x2 + 12x + 23); R(x) = 46 C. Q(x) = (5x2 - 8x + 15); R(x) = 30 D. Q(x) = (5x2 - 8x + 15); R(x) = -30
Give all possible rational zeros for the following polynomial.P(x) = x3 - 6x2 + 3x - 24
A. ±1, ±2, ±3, ±4, ±24
B. ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24
C. ±1, ± 
, ±2, ±3, ±4, ±6, ±8, ±12, ±24
D. ±1, ±2, ±3, ±4, ±6, ±12, ±24
Solve the problem. Use ? ? 3.14, as needed. For the target shown below, find the probability of hitting the shaded area. Assume that each point on the target is equally as likely to be hit.
A. 
B. 
C. 
D. 
For the given functions f and g, find the requested composite function.f(x) = x2 - 6, g(x) = x2 - 9;
Find (f ? g)(x).
A. x4 - 12x2 + 27 B. x4 + 75 C. x4 - 18x2 + 75 D. x4 + 27