The quadratic model f(x)=-5x^2 +200 represents the approximate height, in meters, of a ball x seconds after being dropped. the ball is 50 meters from the ground after about how many seconds
2.45
3.16
5.48
7.07

Third option: 5.48

Step-by-step explanation:

Given the quadratic  model that represents the approximate height in meters of the ball . the time in seconds x, when the ball is 50 meters from the ground can be calculated by substituting and solving for x.

Then:

Subtract 200 from both sides:

Divide both sides by -5:

Apply square root to both sides:

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

Terminating and Repeating Decimals. Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator . If you end up with a remainder of , then you have a terminating decimal.