Respuesta :

isyllus

Answer:

x-intercept: (8,0)

Step-by-step explanation:

Given: [tex]f(x)=x^2-16x+64[/tex]

For x-intercept, Put y=0 and solve for x.

x-intercept: It is a point where y-coordinate zero.

[tex]x^2-16x+64=0[/tex]

[tex]x^2-8x-8x+64=0[/tex]

[tex](x-8)(x-8)=0[/tex]

Equate each factor to 0 and solve for x

x-8 = 0    , x-8 = 0

x=8,8

x-intercept: (8,0)

Hence, The x-intercept is 8.

MrRoyal

The x-intercept of the function is 8

The equation of the function is given as:

[tex]f(x) = x^2 - 16x + 64[/tex]

Expand the equation

[tex]f(x) = x^2 - 8x - 8x + 64[/tex]

Factorize the above equation

[tex]f(x) = x(x - 8) - 8(x -8)[/tex]

Factor out x - 8

[tex]f(x) = (x - 8) (x -8)[/tex]

Set f(x) to 0, to calculate the x-intercept

[tex](x - 8) (x -8)=0[/tex]

Rewrite as:

[tex](x - 8)^2=0[/tex]

Take the square roots of both sides

[tex]x - 8=0[/tex]

Solve for x

[tex]x = 8[/tex]

Hence, the x-intercept of the function is 8

Read more about intercepts at:

https://brainly.com/question/1884491

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