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Which of the following inequalities represents the graph shown below on the real number line?

(A) 0 < x < 5

(B) 0 < x ≤ 4

(C) -2 < x ≤ 4

(D) 1 < x ≤ 4

(E) 0 < x ≤ 4

The Correct Answer
Explanation

What is the coefficient of x8 in the product of the polynomials below?

(–x4 + 3x3 - 5x2 + x - 5)(5x4 - 2x3 + x2 - 5x + 2)

(A)0 (B) 5 (C) 4 (D) -2 (E) -5

Correct Answer: E

In the complex numbers, where , the conjugate of any value a + bi is abi.What is the result when you multiply 2 + 7i by its conjugate?

(A) 45(B) –45(C) 45i(D) 53(E) 53i

Correct Answer: D

In the standard (x, y) coordinate plane, the midpoint of image is (5, 7) and a is located at (2, 3). If the coordinates of b are (x, y), what is the value of (x + y)?

(A)19 (B) 17 (C) 11 (D) 8.5 (E) 8

Correct Answer: A

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