Respuesta :

Thank you for posting your math question here at brainly. I think the choices for the above problem is the below, it can be found elsewhere. 

a. x = −5
b. x = −3
c. x = 3
d. x = 5

The answer is d. I hope it helps. 

Answer-

The axis of symmetry is  [tex]x=5[/tex]

Solution-


The parabolic equation given is,

[tex]h(x) = 6x^2-60x+147[/tex]

Here,  

a = 6, b = -60, c = 147

The equation of the axis of symmetry is,

[tex]x=-\dfrac{b}{2a}[/tex]

Putting the values,

[tex]\Rightarrow x=-\dfrac{-60}{2\times 6}\\\\\Rightarrow x=\dfrac{60}{12}\\\\\Rightarrow x=5[/tex]

Therefore, the axis of symmetry is [tex]x=5[/tex]

Ver imagen InesWalston