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:

Step-by-step explanation:
Use the square of a binomial theorem
= 
Now expand the given equation:

Hope this helps :)
Have a great day!
Answer:
24
Step-by-step explanation:
75/3 is equal to 25... So, in theory, if you multiply 8 by 3, you should get 24. To check that: 75/24 = 25/8
Lyndon should spend $38.05 or more to get a free T-shirt.
We have to find the statement best represents all of the amounts he can spend to get a free T-shirt
Suppose that the amount Lyndon get free T shirt is x.
Given that a clothing store offers a free T-shirt when a customer spends $75 or more.
Lyndon has already spent $36.95.

To find the value of x,
Solve above inequality


Therefore,
Lyndon should spend $38.05 or more to get a free T-shirt
To learn more about the amounts he can spend to get a free visit:
brainly.com/question/25537936
Answer:
these are equal
Step-by-step explanation:
17/25 = 68 / 100 = 0.68