Solve the problem.P(x) = -x3 + 12x2 - 36x + 400, x ? 3 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. 7 hundred thousand
B. 3 hundred thousand
C. 6 hundred thousand
D. 2 hundred thousand


Answer: C

Mathematics

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Evaluate the integral by using a substitution prior to integration by parts.

A. x 2 + 2x  - 2x + C
B. x 2 - 2x   + C
C. x 2 - 2x  + 2x + C
D. x 2 - x  + x + C

Mathematics

Solve the problem.Mrs. Bollo's second grade class of thirty students conducted a pet ownership survey. Results of the survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and a dog. How many of the students surveyed own a cat or a dog?

A. 15 B. 18 C. 5 D. 13

Mathematics

Rationalize the denominator and simplify. Assume that variables represent positive values.

A.
B.
C.
D.

Mathematics

Insert < or > to make the statement true.-5 _____ 5

A. < B. >

Mathematics