[GMAT math practice question]
When -1/2 < h < 0, which of the following has the greatest value?
A. h^2-2h+1
B. h^2+h
C. h
D. h^2
E. h^3
When -1/2 < h < 0, which of the following has the grea
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- Max@Math Revolution
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Test each expression by plugging in h = -1/4.
h^2-2h+1 = (h-1)^2 = (-(5/4))^2 = 25/16
h^2+h = h(h+1) = -(1/4)(3/4) = -(3/16)
h = -1/4
h^2 = (-(1/4))^2 = 1/16
h^3 = (-(1/4))^3 = -(1/64)
Therefore, A is the answer.
Answer: A
Test each expression by plugging in h = -1/4.
h^2-2h+1 = (h-1)^2 = (-(5/4))^2 = 25/16
h^2+h = h(h+1) = -(1/4)(3/4) = -(3/16)
h = -1/4
h^2 = (-(1/4))^2 = 1/16
h^3 = (-(1/4))^3 = -(1/64)
Therefore, A is the answer.
Answer: A
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