Solve the problem.P(x) = -x3 + x2 - 60x + 100, x ? 5 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of hundred thousands of tires that must be sold to maximize profit.

A. 4 hundred thousand
B. 4.5 hundred thousand
C. 5.5 hundred thousand
D. 5 hundred thousand


Answer: D

Mathematics

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Solve the inequality. Express your answer using interval notation.-3 ? x - 6 < 9

A. (2, 3]

B. (2, 10]

C. [2, 10)

D. [2, 3)

Mathematics

Find the indicated term or coefficient of the binomial expansion.Find the coefficient of x2 in the expansion of (3x + 2)10.

A. 658,948 B. 51,840 C. 103,680 D. 34,560

Mathematics

The letters r and ? represent polar coordinates. Write the equation using rectangular coordinates (x, y).r = 5

A. x + y = 25 B. x + y = 5 C. x2 - y2 = 25 D. x2 + y2 = 25

Mathematics

Find the limit algebraically.

A. 2 B. Does not exist C. -2 D. 0

Mathematics