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Mathematics 21 Online
OpenStudy (anonymous):

Will Give Fan and Medal

OpenStudy (anonymous):

A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function: f(t) = -16t^2 + 44t + 12 Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground? -0.25 < t < 2 0 < t < 3 1 < t < 2.4 1.4 < t < 3

OpenStudy (anonymous):

@Luigi0210 @dan815

OpenStudy (anonymous):

I am between either 1<t<2.4 or 1.4<t<3

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

use the quadratic formula to solve -16t^2 + 44t + 12 = 0 or use a graphing calculator to find the roots of y = -16t^2 + 44t + 12

jimthompson5910 (jim_thompson5910):

also keep in mind that t > 0 since negative time values make no sense

OpenStudy (anonymous):

Okay One of the x values is 3

OpenStudy (anonymous):

and the other one is -0.25

jimthompson5910 (jim_thompson5910):

toss out t = -0.25

jimthompson5910 (jim_thompson5910):

keep in mind that t = 0 is the lowest you can go

OpenStudy (anonymous):

Okay

OpenStudy (anonymous):

So would it be 1.4 < t < 3 @jim_thompson5910

jimthompson5910 (jim_thompson5910):

you can go lower than t = 1.4

OpenStudy (anonymous):

So it owuld be 0 < t < 3 ?

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

@ganeshie8 @zepdrix

OpenStudy (anonymous):

@jim_thompson5910 can you tell me if I am right?

jimthompson5910 (jim_thompson5910):

yes from 0 to 3

OpenStudy (anonymous):

Okay, Thank you very much :)

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