At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is height in feet and 't' is time in seconds. How long did it take for the clown to reach his highest point?

A.) 1.4 seconds

B.) 2.8 seconds

C.) 7.5 seconds

D.) 12.2 seconds

A

Step-by-step explanation:

This is a quadratic equation with

a = -16

b = 45

c = 15

The highest point is reached when

What is the x value given a,b,c values? Lets find it.

So, the highest point occurs at x = 1.41

Here the independent variable is t, time. So we can say:

At t = 1.41 seconds, the clown reached max height.

From the choices, we select A) 1.4 seconds

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:

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step-by-step explanation:

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