2. a paper airplane was thrown from the top of a tall building. the height of the paper airplane above the ground can be found using the function f(x) = −1.5x + 69, where x is the time in seconds the airplane has been in the air.

a. draw the graph of the function

b. how many seconds did it take the paper airplane to reach the ground?

c. explain your answer.

It takes 46 seconds for the plane to reach the ground.

Step-by-step explanation:

We are given the following in the question:

The height of the paper airplane above the ground is given by a function:

where f(x) is the height above the ground and x is the time in seconds.

a) The attached image shows the graph for the given equation.

As clear from the graph the unction has a y-intercept of 69 and x-intercept of 46.

b) We have to find the time taken by he plane to reach the ground.

The height of plane on ground is 0

Thus, we can write:

c) Thus, it takes 46 seconds for the plane to reach the ground from the top of the tall building to reach a height of 0.

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:

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45