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A roller coaster’s height is given by the equation h = –.086t^2 + 6t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? hint: Set h = 0.

34.88 seconds
50.00 seconds
50.17 seconds
77.29 seconds

Sagot :

Abidemiokinidn

The time it will take the ride to reach the floor is  77.29 seconds

Quadratic equations

These are equations that has a leading  degree of 2.

Given the function that represents the height of the roller coaster

h(t) = –0.086t^2 + 6t + 50,

At the ground level, h = 0

Substitute

h(t) = –0.086t^2 + 6t + 50,

–0.086t^2 + 6t + 50 = 0

0.086t^2 - 6t - 50 = 0

Factorize

On factorizing, the time it will take the ride to reach the floor is  77.29 seconds

Learn more on functions here: https://brainly.com/question/25638609

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MisterBrainlyidn

The most suitable way is use graphical method

  • h=-0.086t^2+6t+50

Set h=0

  • -0.086t^2+6t+50=0

Graph attached

Time can't be negative so 77.29 is correct one

Option D

View image MisterBrainly
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