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The quadratic model f(x) = –5x2 + 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?

Respuesta :

taskmasters
The quadratic model is f(x) = -5x^2 + 200.
f(x) = 50 meters
x = time in seconds

50 = -5x^2 + 200
5x^2 = 150 // Here, divide both side by 5
x^2 = 30
x = [tex] \sqrt{30} [/tex] seconds
Or approximately 5.48 seconds
abidemiokin

The approximate time taken for height to reach 50m is 5.48 seconds


Quadratic functions

These are functions that has a leading degree of 2. Given the function that represent the height of the ball as;

f(x) = –5x^2 + 200

where

x is the time in seconds

If the height reached is 50m, the time spent is expressed as:

f(x) = –5x^2 + 200

50 = –5x^2 + 200

5x^2 = 150

x^2 = 30

x = 5.48seconds

Hence the approximate time taken for height to reach 50m is 5.48 seconds

Learn more on function here: https://brainly.com/question/10439235

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