Step-by-step explanation
A relation is any set of ordered pairs. A function is a set of ordered pairs where there is only one value of y for every value of x.
hope this helps ;-)
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: 66.
explanation: Ok so right triangle: 1 right angle or 90° and 2 acute angles (Less than 90°). We know that one of the angles are equal to 24° and the right angle is equal to 90° degrees. Now what? We add those 2 values together. 90 + 24 = 114. In the background, a triangle is equal to 180°. So now that we have our 2 core values together, we subtract. The reason why is because this is a missing value type equation. In these types, (usually indicated by the word find) we can subtract 2 values. Our 2 values is 114 and 180. When we subtract both, we get 66.