Determine whether the equation defines y as a linear function of x.



A. Yes, the equation defines y as a linear function of x
B. No, the equation does not define y as a linear function of x


Answer: A

Mathematics

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The following table shows the running speed R, in feet per second, of animals of length L, in inches. Explain in practical terms the meaning of the slope of the regression equation.  L 3.5  6.3 9.4 9.8 R 8.29 15.71 24.01 24.96? ?

A. An increase of 1 inch in length corresponds to an increase of 2.65 feet per second  in running speed. B. An increase of 1 inch in length corresponds to an increase of 2.65 feet per second in running speed. C. An increase of 1 inch in length corresponds to an animal that runs 2.65 times faster. D. An increase of 1 inch in length corresponds to an animal that runs 2.65 times faster.

Mathematics

Solve.The side of a square equals the length of a rectangle. The width of the rectangle is 4 meters longer than its length. The sum of the areas of the square and the rectangle is 96 square centimeters. Find the side of the square.

A. 36 cm B. 2 cm C. 8 cm D. 6 cm

Mathematics

Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = cot(3x - 8)

A. y = cot u; u = 3x - 8;  = - 3 cot(3x - 8) csc(3x - 8)
B. y = cot u; u = 3x - 8;  = - csc2(3x - 8)
C. y = 3u - 8; u = cot x;  = - 3 cot x csc2 x
D. y = cot u; u = 3x - 8;  = - 3 csc2(3x - 8)

Mathematics

Graph.(x - 6)2 + (y + 4)2 = 4

A.

B.

C.

D.

Mathematics