Respuesta :

To predict f(x) when x equals 8 we simply substitute.
 So f(x) = 25x2 28x + 585
  f(8) = 25 (8)^2 - 28 (8) + 585
  f(8) = 25 * 64 - 224 + 585
  f(8) = 1600 - 224 + 585 = 1961
  Hencse f(8) = 1961

Answer:

Option 3rd is correct

f(8) = 1,961

Step-by-step explanation:

Given the quadratic function:

[tex]f(x) = 25x^2-28x+585[/tex]            ....[1]

we have to find the value of f(8).

Substitute x = 8 in [1] we have;

[tex]f(8) = 25(8)^2-28(8)+585[/tex]  

⇒[tex]f(8) = 25 \cdot 64-224+585[/tex]

⇒[tex]f(8) =1600-224+585[/tex]

Simplify:

[tex]f(8) = 1961[/tex]

Therefore, the value of [tex]f(8)[/tex] is, 1,961