Differentiate.f(x) = (5x3 + 8)(2x7 - 8)
A. f'(x) = 20x9 + 112x6 - 120x2
B. f'(x) = 20x9 + 112x6 - 120x
C. f'(x) = 100x9 + 112x6 - 120x2
D. f'(x) = 100x9 + 112x6 - 120x
Answer: C
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Factor by grouping.6x2 - 15x + 10x - 25
A. (3x - 5)(2x + 5) B. (3x + 5)(2x - 5) C. (6x - 5)(x + 5) D. (6x + 5)(x - 5)
Solve the problem.An open box is to be constructed from a square sheet of plastic by removing a square of side 2 inches from each corner, and then turning up the sides. If the box must have a volume of 242 cubic inches, find the length of one side of the open box.
A. 11 in. B. 10 in. C. 13 in. D. 15 in.
Solve.Find the volume of a cube with edges of 5
inches.
A. 144
cu in.
B. 10
cu in.
C. 27
cu in.
D. 15
cu in.
Solve.A boat moves 10 kilometers upstream in the same amount of time it moves 18 kilometers downstream. If the rate of the current is 9 kilometers per hour, find the rate of the boat in still water.
A. 11
kilometers per hour
B. 31
kilometers per hour
C. 22
kilometers per hour
D. 9 kilometers per hour