WORTH 20 POINTS PLS HELP!!!
On a windy morning, a hot air balloon starts rising and flying away from the top of a hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the hill, can be modeled by the function:
Part B: There is a positive and negative x intercept for this function. What is the positive x-intercept?
Explain what this x-intercept represents in the given situation.

h(x)=-16x2+64x+80

The X-Intercept would represent the landing point (bottom of the cliff) because all x intercepts have a y value of 0. In this case it would be 0 feet.

Solution:
h(x)= -16x^2-16x+80x+80
h(x)= -x(16x-16) +5(16x+16)
h(x)= (-x+5)(16x+16)
x intercepts = -1 and 5

Hope this helps. Let me know if you need me to explain further.

Answer Link

andromache andromache · Answer 2 · 2022-04-14T12:21:08+02:00

Here the positive intercept should be considered as the -1 and 5.

Calculation of the positive intercept:

Since X-Intercept shows the landing point i.e. bottom of the cliff since all x intercepts contains a y value of 0.

In this case it would be 0 feet.

So,

[tex]h(x)= -16x^2-16x+80x+80[/tex]

h(x)= -x(16x-16) +5(16x+16)

h(x)= (-x+5)(16x+16)

x intercepts = -1 and 5

Learn more about intercept here: https://brainly.com/question/15546484