The difference of twice a number and 3 is at most -21

The equation: 2n - 3 ≤ -21

The answer to the equation: n ≤ 9

Step-by-step explanation:

How to get the equation:

The difference of symbolizes subtraction. Because we are subtracting twice a number and 3, the first part of the equation can be written as 2n - 3. The n symbolizes the number.

is at most symbolizes a less than or equal to sign. That sign is ≤. And what is it less than or equal to? -21.

Now are equation is 2n - 3 ≤ -21

How to solve it:

2n - 3 ≤ -21

Add 3 to both sides of the equation

2n ≤ 18

Divide both sides of the equation by 2

n ≤ 9

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:

h= 12 inches

step-by-step explanation: