Solve the problem.Find the area of the large rectangle below in two ways. First, find the sum of the areas of the four smaller rectangles. Second, express the area of the large rectangle as the product of its length and width. 

A. area = x2 + 3x - 2 = (x + 2)(x - 1)
B. area = x2 + 4x - 3 = (x + 3)(x - 1)
C. area = x2 + 4x + 3 = (x + 3)(x + 1)
D. area = x2 + 3x + 2 = (x + 2)(x + 1)


Answer: C

Mathematics

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Simplify the difference quotients  and  for the following function. Rationalize the numerator when necessary.f(x) = 9x + 2

A. 9; 9 B. 9h; 9a C. 9x - 9h; 9x - 9a D. 9; 9x - 9a

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Provide an appropriate response.Multiply the radicals and simplify: 5 ? 7

A. 12
B. 70
C. 105
D. 35

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Solve the problem.Find the moment of inertia about the z-axis of a thick-walled right circular cylinder bounded on the inside by the cylinder r = 1, on the outside by the cylinder r = 4, and on the top and bottom by the planes z = 6 and z = 10.

A. 255? B. 510? C. 1020? D. 512?

Mathematics

Solve the problem.Suppose that the function y = f(x) is increasing on the interval (2, 9). Over what interval is the graph of  increasing?

A. (8, 15) B. (12 , 54) C. (-4, 3) D. (2, 9)

Mathematics