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:
A' would be at (0,-4)
B' would be at (-2,1)
C' would be at (-2,-3)
Step-by-step explanation:
A' would be at (0,-4)
B' would be at (-2,1)
C' would be at (-2,-3)
See attached photo for solution
Answer:
(x+9)(3x+27)
Step-by-step explanation:
3x^2+54x+243 (243×3=729, Product=729, Sum=54) [27+27=54, 27×27=729]
3x^2+27x+27x+243
3x(x+9)+27(x+9)
=(x+9)(3x+27)
Answer:
The student's weighted mean score is 92.2.
Step-by-step explanation:
To find the student's weighted mean scored, we multiply each grade by it's weight.
Grades and weights:
Homework: Grade of 86, weight of 20% = 0.2
Quiz: Grade of 87, weight of 5% = 0.05
Quiz: Grade of 91, weight of 5% = 0.05
Project: Grade of 98, weight of 45% = 0.45
Final Exam: Grade of 88, weight of 25% = 0.25.
What is the student's weighted mean score?
0.2*86 + 0.05*87 + 0.05*91 + 0.45*98 + 0.25*88 = 92.2
The student's weighted mean score is 92.2.
