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Mathematics 16 Online
OpenStudy (anonymous):

please help!!

OpenStudy (anonymous):

Provide the larger of the two positive integers that add up to 60 and have the largest possible product.

OpenStudy (anonymous):

@aum

OpenStudy (anonymous):

I'd say 30...

OpenStudy (studygurl14):

same ^

OpenStudy (anonymous):

really? that would make this really easy then haha

OpenStudy (aum):

Let one number be x. Then the other number is (60-x). Their product P = (60-x) * x = -x^2 + 60x. This is a parabola that opens downward and its maximum is at the vertex. The x-coordinate of the vertex is given by: -b/(2a) = -60/(2*(-1)) = -60/-2 = 30. So one number is 30 and the other number is 60-30=30. Both numbers are the same.

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