Please answer correctly

Choice C

x intercept is (4,0)

y intercept is (0,2)

Work Shown:

To find the x intercept, we plug in y = 0 and solve for x

2x+4y = 8

2x+4(0) = 8

2x+0 = 8

2x = 8

x = 8/2

x = 4

We have x = 4 pair up with y = 0. So we have (x,y) = (4,0) as the x intercept.

This is the location where the graph crosses the x axis.

The y intercept is a similar story, but we use x = 0 to find y.

2x+4y = 8

2(0)+4y = 8

0+4y = 8

4y = 8

y = 8/4

y = 2

The value x = 0 leads to y = 2. This gets us (x,y) = (0,2) as the y intercept.

This is the location where the graph crosses the y axis.

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: