Solve the problem.A piece of cardboard is twice as long as it is wide. It is to be made into a box with an open top by cutting 4 cm squares from each corner and folding up the sides. Let x represent the width of the original piece of cardboard. Determine a function V that represents the volume of the box in terms of x.
A. V(x) = 4x2 - 64x + 256
B. V(x) = 8x2 - 96x + 256
C. V(x) = 8x2 - 48x + 64
D. V(x) = 8x2
Answer: B
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Solve the problem.The wedding cake shown has a bottom tier measuring 14 inches by 14 inches by 3 inches, a middle tier measuring 11 inches by 11 inches by 3 inches, and a top tier measuring 6 inches by 6 inches by 3 inches. What is the volume of the cake? If there will be 67 guests and each guest eats one piece of cake that is 3 inches by 2 inches by 3 inches, will there be enough cake for everyone?
A. 1075 in.3; no B. 1059 in.3; no C. 1075 in.3; yes D. 1059 in.3; yes
Solve the system by the elimination method or a combination of the elimination and substitution methods.5x2 - 3y2 = -33x2 + 2y2 = 59
A. {(-3, -4), (-4, -3)} B. {(3, -4), (3, 4)} C. {(3, 4), (4, 3), (-3, -4), (-4, -3)} D. {(3, 4), (-3, 4), (3, -4), (-3, -4)}
A point on the terminal side of angle ? is given. Find the exact value of the indicated trigonometric function.(5, 12)Find sin ?.
Fill in the blank(s) with the appropriate word(s).
Simplify.-(3x - 9z + 5)
A. -3x + 9z - 5 B. -3x - 9z + 5 C. -3x + 9z + 5 D. -3x - 9z - 5