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Dragonflare
10.07.2019 •
Mathematics
Aball is thrown in the air from a ledge. its height in feet is represented by f16(2-5x - 6), where x is the number of seconds since the ball has been thrown. the height of the ball is 0 feet when it hits the ground. how many şeconds does it take the ball to reach the ground?
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Ответ:
Height in feet is represented by![f(x) = -16(x^2-5x-6)](/tpl/images/0074/0479/ec1b3.png)
The height of the ball is 0 feet when it hits the ground.
So we replace height f(x) by 0 and solve for x to find the time taken to reach the ground
Now factor it
(x-6)(x+1) =0
x-6 =0 and x+1=0
x=6 and x=-1
Time cannot be negative so we ignore -1
x = 6 seconds
It will take 6 seconds for the ball to reach the ground.
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