The function f(t) = −16t^2+ 80t + 5 represents the height (in feet) of
the first water balloon t seconds after it is launched. The height of
the second water balloon t seconds after it is launched is shown in
the graph. Which balloon is in the air longer? Explain your reasoning.
Which balloon reaches its maximum height faster? Explain your
reasoning.

This is the answer to the question in the comments.

Step-by-step explanation:

y = 1/2x²- 3

The parabola opens up, has a negative y-intercept, and is wider than y = x²

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66answer:

step-by-step explanation:

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: