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In the standard (x,y) coordinate plane below, the base of a right triangle lies along the x-axis and is bisected by the y-axis. The vertex of the angle opposite the base is on the graph of the parabolic function f(x) = 2x2 - 4. Let b represent any value of x such that - < x < 0. Which of the following is an expression in terms of b for the area, in square coordinate units, of any such right triangle?

(A) 4b4 - 16b2 + 16

(B) 4b3 - 8b

(C) 2b3 - 4b

(D) 2b2 + b - 4

(E) b2 - 4b + 4

The Correct Answer
Explanation

Find the area, in square units, of the circle shown by the equation (x 5)2 + (y 2)2 = 36

(A) 4π (B) 25π (C) 25π (D) 36π (E) 48π

Correct Answer: D

If f(x) = x2+ 9 and g(x) = 24 + 4x,what is the value of ?

(F) 0.75(G) 0.8(H) 1.2(J) 1.25(K) 1.75

Correct Answer: J

In a poll, 44 people were in favor of constructing a new high school, 58 were against it, and 8 people had no opinion. What fraction of those people polled were in favor of constructing a new high school?

(A) (B) (C) (D) (E)

Correct Answer: C

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