Question

H(x) = x^2 - 5x +7
Find h(-5)

Answer 1

`\bold{h(-5)=57}`

Explanation:

Substitute
`-5` for everywhere there is
`x`

`h(x) = x^2 - 5x +7\\=-5^2 - 5(-5) +7`

`-5^2 - 5(-5) +7`

PEMDAS order of operations

Parenthesis

`\bold{-5*(-5)}\\=25`

`-5^2+25 +7`

Exponents

`\bold{-5^2}\\=-5*-5\\=25`

`25+25 +7`

Addition

`25+25+7\\=50+7\\=57`

Therefore,
`\bold{h(-5)=57}`.

Answer 2

57

Explanation:

h(-5) = (-5)^2 - 5(-5) + 7

h(-5) = 25 + 25 +7

h(-5) = 57