Answer:
x = -5
Step-by-step explanation:
to evaluate for x in this this question -5x-(8-x)=12
the firsst step, you would open the bracket with - then evaluate for the value of x
solution
-5x-(8-x)=12
-5x -8 + x = 12
combine the like terms
-5x + x = 12 + 8
-4x = 20
divide both sides by the coefficient of x
-4x/-4 = 20/-4
x = -5
Answer:
x is in the range [-1,4]
Step-by-step explanation:
I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.
We are given the following inequality:
| 2x - 3 | <= 5
This implies two possible cases:
[1] -5 <= 2x -3
Or
[2] 2x - 3 <= 5
So let's solve x for both of these cases:
[1] -5 <= 2x - 3
-2 <= 2x
-1 <= x
[2] 2x - 3 <= 5
2x <= 8
x <= 4
So from these cases, we can say the following is true:
x >= -1 and x <= 4
Thus, we can write this in the form
-1 <= x <= 4
Or in interval notation:
{ x is element of reals | -1 <= x <= 4}
Also written as
x is in the range [-1,4]
Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.
Cheers.
The ratio would be 2:6 or 1:3 in its simplest form.
2160
Explanation:
Use the equation (n-2)180
(14-2)180
(12)180
2160
X would equal 60 degrees because the degree of the top left area is equal to the degree of the bottom right. So the equation would be x+20=80 so you would solve to get x=60