Answer:
See below.
Step-by-step explanation:
So we started off with the equation:

And we subtracted x from both sides to acquire:

Now, this is essentially slope-intercept form. Recall that the slope-intercept form is:

Where m is the slope and b is the y-intercept.
If we rearrange our equation:

And put some parentheses:

We can see that this is indeed slope-intercept form.
And we can see that m is -1 and b is 2.
In other words, the slope is -1 and the y-intercept is 2.
Answer:
x < ( 8 - 2b ) / -a
Step-by-step explanation:
For this problem, we simply will solve the inequality for x.
-ax + 2b > 8
-ax > 8 - 2b
x < ( 8 - 2b ) / -a
Note, the comparison is flipped since a negative multiplicand was used to isolate x.
Cheers.
Answer:
2 or -2
Step-by-step explanation:
If x² - 8x = -12
Step 1
We find x by solving
x² - 8x = -12
We equate to zero
x² - 8x + 12 = 0
We factorise
x² - 6x - 2x + 12 = 0
x(x - 6) -2(x - 6) = 0
(x - 6) (x - 2) = 0
x - 6 = 0, x = 6
x - 2 = 0, x = 2
x = 6 or 2
Step 2
What is x - 4?
When x = 6
= 6 - 4 = 2
When x = 2
= 2 - 4 = -2
Therefore, x - 4 = 2 or -2