Ben is climbing a tree with a lot of branches. His height off the ground at time t is 2t^2-5t+29 feet. To the nearest foot, what will his minimum height be?

ItzMe Jun 28, 2020

#1**+2 **

We use the formula x=-b/2a to find the minimum.

x=-(-5)/2(2)

x=5/4

This is the x value though, so we plug it into the equation(t is the x value) y= 2t^2-5t+29.

y=2(5/4)^2-5(5/4)+29

y=2(25/16)-25/4+29

y=50/16-100/16+29

y=**207/8 feet**

I am not entirely sure if this is right, so please tell me.

gwenspooner85 Jun 28, 2020

#2**+2 **

The minumum TIME will be - b/ 2a = - -5/4 = 5/4 Yes you got that part right

Now sub t = 5/4 into the equation to find the minimum HEIGHT

Height_{min}= 25 7/8 ft Ye, you got that part correct too ! (or ...at least we got the same answer! )

ElectricPavlov
Jun 28, 2020