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The function g(x) = x4- 2x3- 6x2x + 5 and line h are shown in the standard (x,y) coordinate plane below. Which of the following is an equation of line h, which passes through (-1,3) and (2,-21)?

(F) -8x - 5

(G) -8x + 5

(H) -9x + 5

(J) -9x - 5

(K) -6x - 5

The Correct Answer
Explanation

The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V =  r 2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?

(A)2 (B)4 (C)8 (D)12 (E)16

Correct Answer: B

For all real values of a and b, the equation |a - b| = 5 can be interpreted as "the positive difference of a and b is 5." What is the positive difference between the 2 solutions for a?

(F) b (G) b + 5 (H) 2b (J) (K) 10

Correct Answer: K

What is the slope of a line perpendicular to the line 3x + 2y = 19?

(A)- image (B) image (C) image (D) image (E) 3

Correct Answer: C

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