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If 6 x 4 and 10 y 4, what is the greatest value of (x2 + y

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If 6 x 4 and 10 y 4, what is the greatest value of (x2 + y [#permalink] New post   02 Sep 2024, 22:45
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If \(–6 ≤ x ≤ 4\) and \(–10 ≤ y ≤ 4\), what is the greatest value of \((–x^2 + y^4)\)?

A. 0
B. 256
C. 1000
D. 9744
E. 10000



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mayukhwu
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Re: If 6 x 4 and 10 y 4, what is the greatest value of (x2 + y [#permalink] New post   03 Sep 2024, 23:16
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Since it is \((-x^2 + y^4)\), \(x^2\) must be as small as possible and \(y^2\) must be as big as possible.

So, \(x=0\) and \(y=10\), and answer is \(10000\) (E).
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Re: If 6 x 4 and 10 y 4, what is the greatest value of (x2 + y [#permalink]
03 Sep 2024, 23:16
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