Trish's bounces the ball at 0.76 for in front of her feet. the path of the ball from the time it hits the ground until it it lands on the floor is represented by
f(x) = -2(x-3)^2+10
assuming that tricia's feet are located at the origin (0,0), what is thr maximum height of the ball (in feet)?

  10 ft

Step-by-step explanation:

The equation is written in vertex form, with the vertex at (3, 10). Since the scale factor is negative, the graph opens downward, and the vertex is the maximum height: 10 ft.

_____

The equation of a parabola with vertex (h, k) is ...

  f(x) = a(x -h)² +k

Comparing this to your function, you see that ...

so the vertex is (h, k) = (3, 10).

10 ft.

Step-by-step explanation:

K represents how low or high you move on the map vertically. This is the quickest way to do it because the answer is right there.

I am joyous to assist you anytime.

a

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .