Question

Ana dives into a pool off of a springboard high dive. Her height (in meters above the water), x seconds after diving, is modeled by h(x)=-5(x+1)(x-3). How many seconds after diving will Ana hit the water?

Answer 1

The equation given is h (x) = -5 (x + 1) (x - 3).

To find the height of the diver at the time of diving, we need to substitute x = 0 to find the h. So, we have,

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

h = 15  

 To find how long it takes to hit the water, we need to substitute h = 0 to find the x. So, we have,

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

0 = (x + 1) (x - 3)

x = -1 and x = 3

Since we are finding the time taken, neglect the negative value.

So, we have, x = 3 s.

Answer 2

Answer:

3

Step-by-step explanation:

i got khan