Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers.

A.
B.
C.
D.


Answer: A

Mathematics

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Solve the problem.A power plant is located on a river that is 700 feet wide. To lay a new cable from the plant to a location in a city 1 mile downstream on the opposite side costs $175 per foot across the river and $150 per foot along the land. Suppose that the cable goes from the plant to a point Q on the opposite side that is x feet from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the 

A. C(x) = 150 + 175(5280 - x)
B. C(x) = 175(700 - x) + 150(1 - x)
C. C(x) = 175 + 150(5280 - x)
D. C(x) = 175 + 150(1 - x)

Mathematics

Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.f(x) = 5(x - 1)

A. domain of f: (-?, ?); range of f:(0, ?) 
horizontal asymptote: y = 0

B. domain of f: (-?, ?); range of f:(0, ?)
horizontal asymptote: y = 0

C. domain of f: (-?, ?); range of f:(-?, 0)
horizontal asymptote: y = 0

D. domain of f: (-?, ?); range of f:(-?, 0)
horizontal asymptote: y = 0

Mathematics

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.f(x) = 9x5 + 3x3 - 7x2 + 2; [-1, 0]

A. f(-1) = 17 and f(0) = 2; no B. f(-1) = -17 and f(0) = -2; no C. f(-1) = -17 and f(0) = 2; yes D. f(-1) = 17 and f(0) = -2; yes

Mathematics

Solve the inequality. Express your answer using interval notation.|x - 6| ? 0

A. {-6} B. (-?, 6) C. {6} D. no solution

Mathematics