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castortr0y [4]
3 years ago
5

The quadratic model f(x)=-5x^2 +200 represents the approximate height, in meters, of a ball x seconds after being dropped. The b

all is 50 meters from the ground after about how many seconds
2.45
3.16
5.48
7.07
Mathematics
1 answer:
mel-nik [20]3 years ago
3 0

Answer:

Third option: 5.48

Step-by-step explanation:

Given the quadratic  model that represents the approximate height in meters of the ball f(x)=-5x^2 +200. the time in seconds x, when the ball is 50 meters from the ground can be calculated by substituting f(x)=50 and solving for x.

Then:

50=-5x^2 +200

Subtract 200 from both sides:

-200+50=-5x^2 +200-200\\-150=-5x^2

Divide both sides by -5:

\frac{-150}{-5}=\frac{-5x^2}{-5}\\30=x^2

Apply square root to both sides:

\sqrt{30}=\sqrt{x^2}\\\sqrt{30}=x\\5.48=x

The ball is 50 meters from the ground after about 5.48 seconds.

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