Respuesta :

Answer:

57

Step-by-step explanation:

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

h(-5) = 25 + 25 +7

h(-5) = 57

Answer:

[tex]\bold{h(-5)=57}[/tex]

Step-by-step explanation:

Substitute [tex]-5[/tex] for everywhere there is [tex]x[/tex]

[tex]h(x) = x^2 - 5x +7\\=-5^2 - 5(-5) +7[/tex]

[tex]-5^2 - 5(-5) +7[/tex]

PEMDAS order of operations

Parenthesis

[tex]\bold{-5\times(-5)}\\=25[/tex]

[tex]-5^2+25 +7[/tex]

Exponents

[tex]\bold{-5^2}\\=-5\times-5\\=25[/tex]

[tex]25+25 +7[/tex]

Addition

[tex]25+25+7\\=50+7\\=57[/tex]

Therefore, [tex]\bold{h(-5)=57}[/tex].