Question

Ana dives into a pool off of a springboard high dive.

Her height (in meters above the water), xxx seconds after diving, is modeled by
h(x)=-5(x+1)(x-3)h(x)=−5(x+1)(x−3)h, left parenthesis, x, right parenthesis, equals, minus, 5, left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, minus, 3, right parenthesis
What is the height of Ana above the water at the time of diving?

Answer 1

The height of Ana above the water at the time of diving is 15 meters.

Step-by-step explanation:

The given function h(x) = -5(x+1)(x-3) models the height (in meters above the water) of Ana at time x seconds after diving. To find the height of Ana above the water at the time of diving, we need to substitute x=0 into the function.

Plugging in x=0 into the function, we get:

h(0) = -5(0+1)(0-3)

h(0) = -5(1)(-3)

h(0) = -5(-3)

h(0) = 15

Therefore, the height of Ana above the water at the time of diving is 15 meters.

Answer 2

15 meters

Step-by-step explanation:

Ana's height at the time of diving is given by h(0)​

=−5(0+1)(0−3)

=−5(1)(−3)

=15

​

In conclusion, Ana's height at the time of diving is 15 meters.