Answer :
Given ~
[tex] \tt \: f(x) = - 4 {x}^{2} + 7x[/tex]
[tex] \: [/tex]
put x=5 in given function ~
[tex] \: [/tex]
[tex] \tt \: f(5) = - 4(5) ^{2} + 7(5)[/tex]
[tex] \: [/tex]
[tex] \tt \: f(5) = - 4(25) + 7(5)[/tex]
[tex] \: [/tex]
[tex] \tt \: f(5) = -100 + 35 [/tex]
[tex] \: [/tex]
[tex] \underline{\boxed{\red{ \tt f(5) = - 65}}}{\green✓}[/tex]
[tex] \: [/tex]
hope helps ~