Respuesta :

Answer:

As

  • [tex]f(-5)=18[/tex]

Hence, the option 'a' is true.

Step-by-step explanation:

Given the expression

[tex]f\left(x\right)=-x^2-5x+18[/tex]

Putting x = -5 in the expression

[tex]f\left(-5\right)=-\left(-5\right)^2-5\left(-5\right)+18[/tex]

          [tex]=-\left(-5\right)^2+5\cdot \:5+18[/tex]

          [tex]=-5^2+5\cdot \:5+18[/tex]

          [tex]=-5^2+25+18[/tex]

          [tex]=43-5^2[/tex]

          [tex]=43-25[/tex]

          [tex]=18[/tex]

Therefore,

  • [tex]f(-5)=18[/tex]

Hence, the option 'a' is true.