Acar is traveling at a speed of 55 mph. you want to write an algebraic expression to show how far the car will travel in a certain number of hours. what will be your constant? what is your variable?

distance = rate * time.

distance is number of miles the car has traveled.

rate = number of miles per hour the car is traveling at.

time = number of hours the car has been driven.

let D = distance.

let T = time.

let R = rate

the general equation is D = R*T

as long as the car will always be driven at 55 miles per hour, you can substitute 55 for R and that becomes your constant.

The equation then becomes D = 55 * T.

example:

you drive 5 hours.

D = 55 * T = 55 * 5 = 275 miles.

If you drive at 55 miles per hour for 5 hours, you will have driven 275 miles.

Hope this helps!

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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