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If  is a real number, what is the maximum possible value of the expression \(-t^2 + 8t -4\)?

 Jul 25, 2020
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This is a dome shaped parabola (due to the negative coefficient of t^2)

   the ma will ocur at a  't' value  = - b/2a    where b = 8   and a = -1           then t = 4

     put t= 4 into the equation       -(4)^2 + 8(4) -4 = max value = -16 + 32 -4  = 12

 Jul 25, 2020

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