Answer each question appropriately.Suppose the area of the region between the graph of a positive continuous function f and the x-axis from x = a to x = b is 7 square units. Find the area between the curves y = f(x) and y = 5f(x).

A. -28 square units
B. 35 square units
C. 42 square units
D. 28 square units


Answer: D

Mathematics

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Plot the given points and sketch the line that passes through them.(-9, 8) and (-9, -7)

A.

B.

C.

D.

Mathematics

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logw

A. logw6x  B. logw11x -logw5 C. logw11 +logwx - logw5 D. logw11 +logwx + logw5

Mathematics

Write the polynomial in descending order of the variable x. If the polynomial is already in descending order, so state. Give the degree of the polynomial.20x3 + 2

A. descending order, degree 4 B. 2 + 20x3, degree 4 C. descending order, degree 3 D. 2 + 20x3, degree 3

Mathematics

Solve the problem. Round amounts to the nearest tenth if necessary.Suppose that z varies jointly with x and y and that z = 504 when x = 7 and  Find the constant of variation k. Then use z = kxy to find z when x = 7 and y = 4.

A. k = 3.9; z = 109.2 B. k = 4.9; z = 137.2 C. k = 4.5; z = 126 D. k = 56,448; z = 2016

Mathematics