Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.x5 - 6x4 - 16x3

A. x2(x2 - 6x - 16)
B. x3(x + 2)(x + 8)
C. x3(x + 2)(x - 8)
D. x3(x - 2)(x - 8)


Answer: C

Mathematics

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Solve the formula for the indicated variable. Then use the supplied values to solve the equation.The relationship between the distance p from an object to a lens, the distance q from the image to the lens, and the focal length f (the distance from the lens to the principal focus) is given by  Solve for f. What is the focal length when p is 726 mm and q is 24.2 mm? (All values are approximate.)

A. f = p + q = 750 mm
B. f = pq - p - q = 16,800 mm
C. f =  +  = 1.00 mm
D. f =  = 23.4 mm

Mathematics

Solve the problem.Benjamin never has more than 21 hours free during the week. He is trying to make a weekly plan for dividing his free time between reading and working out. He wants to spend at least 8 hours per week reading. Write a system of inequalities to describe the situation. Let  of time for reading and  of time for working out.

A. x + y ? 21 x ? 8y x ? 0 y ? 0 B. x + y ? 21 x ? 8y x ? 0 y ? 0 C. x + y ? 21 x ? 8 y ? 0 D. x + y ? 21 y ? 8 x ? 0

Mathematics

Find the slope of a line tangent to the given curve at the given point.y = 23 cos x; x = 

A.
B. - 
C. - 
D.

Mathematics

Write standard notation for the number in the sentence.The population of BigTown is one million, three hundred thirty-five thousand, five hundred six.

A. 1,035,506 B. 13,035,560 C. 133,506 D. 1,335,506

Mathematics