find the values of b such that the function has the given maximum or minimum value.f(x) = -x^2+bx-75,Maximum value: 25

Cabiolab 2021-01-13 Answered

find the values of b such that the function has the given maximum or minimum value. f(x)=x2+bx75, Maximum value: 25

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Expert Answer

mhalmantus
Answered 2021-01-14 Author has 106 answers

1.Write the equation in standard form.

f(x)=x2+bx75

=(x2bx)75

=(x2bx+(b24)(b24))75

=(xb2)275+b24

2.Use the maximum to find b.

75+b24=25b24=100b2=400b=±20

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