5(x + 2) = 3x -8
Can someone explain how to do this? Thank you!

x=-9

Step-by-step explanation:

So I use the site M a t h w a y (not spaced out) but if you really need to do it, use Pemdas.

x=-9

Step-by-step explanation:

So, first you do the parentheses, 5(x+2), which comes out to 5x+10, so the equation becomes 5x+10=3x-8. Then, subtract 3x from both sides to get the x's all on one side. (5x-3x)+10=(3x-3x)-8 which equals 2x+10=-8. After that, subtract 10 from both sides to get the numbers all on one side. 2x+(10-10)=(-8-10) which equals 2x=-18. Then, you divide by 2 to get what x equals. (2x/2)=(-18/2) which makes x=-9.

(The work should look like this:)

5(x+2)=3x-8

5x+10=3x-8

2x+10=-8

2x=-18

x=-9

(hope this helps!)

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).