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# Algebra

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

May 23, 2022

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First, you need to determine when Ben will reach his minimum height

$$\frac{5}{(2)(1)}$$ = 2.5 seconds

Then, plug 2.5 into the equation as t

(2.5)2 - 5(2.5) + 29

Simplify

6.25 - 12.5 + 29

Simplify

22.75

Rounded to the nearest foot, his minimum height will be 23 feet

May 23, 2022