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At 10:00, Angela starts from her home and runs at a constant pace to Kathleen’s house, which is exactly 2 miles away. Immediately, she and Kathleen turn around and walk back to Angela’s house exactly 4 miles an hour slower than Angela ran. When they arrive at Angela’s house, the time is 10:45. At what speed did Angela run?

(F) 6 miles per hour

(G) 6.5 miles per hour

(H) 7 miles per hour

(J) 7.5 miles per hour

(K) 8 miles per hour

The Correct Answer
Explanation

For all image is equivalent to:

(A)-1 (B) image (C) 1 (D) image (E) image

Correct Answer: E

What is the determinant of the matrix ?

(F) 0(G) 12(H) |0|(J) |6|(K) |12|

Correct Answer: G

If the equation x2+ mx+ n= 0 has two solutions, x = kand x = 2k,what is the value of mnin terms of k?

(A) 2k2(B) –2k2(C) –2k3(D) 6k3(E) –6k3

Correct Answer: E

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