Answer:
x = - 5, x = - 1
Step-by-step explanation:
Given
- 3 | 2x + 6 | = - 12 ( divide both sides by - 3 )
| 2x + 6 | = 4
The absolute value always returns a positive value, but the expression inside can be positive or negative, that is
2x + 6 = 4 ( subtract 6 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
OR
- (2x + 6) = 4 ← distribute left side
- 2x - 6 = 4 ( add 6 to both sides )
- 2x = 10 ( divide both sides by - 2 )
x = - 5
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 = - 1 → - 3| - 2 + 6 | = - 3 | 4 | = - 3 × 4 = - 12 ← True
x = - 5 → - 3 | - 10 + 6 | = - 3 | - 4 | = - 3 × 4 = - 12 ← True
Thus x = - 5 and x = - 1 are the solutions
Answer is choice D. The other choices involve dilations, or scalings, which basically make the graph taller or flatter depending on what the scale factor is. In the case of f(x-1/2)+3, we shift f(x) to the right 1/2 a unit and up 3.
There are 120 Markers in total
Answer: $1.15
Step-by-step explanation:
The question is How much did each roll of crepe paper cost?
Let the cost of crepe paper be x
Let the cost of balloons be y.
Six rolls of crepe paper and 20 balloons cost $11.90. This will be:
6x + 20y = 11.90 ......... i
2 more rolls of crepe paper and 15 more balloons for $6.05. This will be:
2x + 15y = 6.05 ......... ii
6x + 20y = 11.90 ......... i
2x + 15y = 6.05 ......... ii
Multiply equation i by 15
Multiply equation ii by 20
90x + 300y = 178.50 ........ iii
40x + 300y = 121 ........ iv
Subtract iv from iii
50x = 57.50
x = 57.50/50
x = 1.15
Therefore, a crepe paper cost $1.15
