What is the x-intercept of the graph of the function f(x) = x^2 − 16x + 64? (−8, 0) (0, 8) (8, 0) (0, −8)

(8, 0)

Step-by-step explanation:

The x-intercepts are the roots or solutions of a quadratic equation. To solve this equation use the quadratic formula.

In this equation, a = 1, b = -16, and c = 64. Substitute these values into the formula.

After simplifying, you are left with 16/2 which is 8.

The x-intercept of the graph of this function is (8, 0).

Choice C is the answer.

Step-by-step explanation:

We have given a function.

f(x) = x² − 16x + 64

We have to find the x-intercept of the graph of function.

x-intercept is a point where the value of function is zero.

Putting f(x) =  in given function , we have

x²-16x+64 = 0

Factoring above equation, we have

x²-8x-8x+64 = 0

x(x-8)-8(x-8) = 0

(x-8)(x-8) = 0

Applying zero-product property , we have

x-8 = 0 or x-8 = 0

Hence, x = 8 when f(x) = 0

x-intercept is (8,0).

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew