Solve the problem.A rectangular piece of cardboard measuring 25 inches by 46 inches is to be made into a box with an open top by cutting equal-size squares from each corner and folding up the flaps. If the side length of each such square is x inches, for what value of x will the volume be a maximum? If necessary, round to the nearest hundredth.
A. 18.48 in.
B. 36.96 in.
C. 22.23 in.
D. 5.19 in.
Answer: D
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Solve the problem.Using the floor plan below, find a path that starts in room B and passes through each doorway exactly one time.
A. B ? C ? A ? D ? E B. B ? C ? A ? D ? E ? C ? B C. B ? C ? A ? D ? E ? C D. No such path exists.
Give the equations of any horizontal asymptotes for the graphs of the rational functions.g(x) = 
A. y = 6 B. y = -7 C. y = 0 D. none
A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x), and express P(x) in the form d(x)? Q(x) + R(x).P(x) = 3x3 - x2 + 2x + 5d(x) = x + 1
A. (x - 1)(3x2 + 2x) + 5 B. (x + 1)(3x2 - 4x + 2) + 7 C. (x + 1)(3x2 - 4x + 6) - 1 D. (x + 1)(3x2 + 2x) + 5
Use the unit circle to determine the value of the given expression or state that it is undefined.sec (-90°)
A. 0 B. -1 C. undefined D. 1