Answer:
x = - 6 or x = 2
Step-by-step explanation:
The absolute value function always returns a positive value. However, the expression inside can be positive or negative.
Given
| 2x + 4 | - 1 = 7 ( add 1 to both sides )
| 2x + 4 | = 8, thus
2x + 4 = 8 ( subtract 4 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
OR
-(2x + 4) = 8
- 2x - 4 = 8 ( add 4 to both sides )
- 2x = 12 ( divide both sides by - 2 )
x = - 6
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True
x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True
Hence the solutions are x = - 6 or x = 2
Answer:
equation of line
x-2y=8
Step-by-step explanation:
equation of line in slope intercept form
(y-y1)={(y2-y1)/(x2-x1)}(x-x1)
or,(y+3)={(-5+3)/(-2-2)}(x-2)
or,(y+3)=(1/2)(x-2)
or,2y+6=x-2
or,6+2 =x-2y
or,x-2y=8
Answer: 24
Step-by-step explanation:
6, 12, 18, 24
8, 16, 24
Answer:
A. 1
Step-by-step explanation:
I see only one red function line in the graph. this line represents the simple function y = 1, for x in the interval [-2,1].
the domain of a function defines the possible values for x, and the range of a function defined the possible values for y.
this function has only one possible value for y : 1
so, only A applies.
