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December 22, 2014

December 22, 2014

Posted by **eric** on Monday, December 5, 2011 at 1:31pm.

- algebra -
**Steve**, Monday, December 5, 2011 at 2:52pmassuming that you mean

T=-0.005x^2 + 0.45x + 125

the max temperature is reached at x = -.45/-.01 = 45

so,

T(45) = 135.125

so, yes, the temperature does exceed 135, but only briefly (for 40<=x<=50)

Using the discriminant of

-0.005x^2 + 0.45x + 125 - 135 = 0

D = .45^2 - 4*.005*10 = .0025

D>0, so yes, T will exceed 135

Since the equation is a parabola, there will be at most two times. Those are at

x = 30 and 60

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