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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?

 Jun 28, 2020
 #1
avatar+359 
+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.

 
 Jun 28, 2020
 #2
avatar+24513 
+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

 

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

 
ElectricPavlov  Jun 28, 2020
 #3
avatar+134 
+1

Thank you!

 
ItzMe  Jun 28, 2020

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