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: the 55th stripe is white
Step-by-step explanation:
The first four stripes on a wall with 100 stripes are red , blue, white, and purple. The four colors repeat in the same order. This means that Red always follow blue which is followed by white and then purple. This means that red would always start each new and consecutive set of four stripes and purple will always end it
We want to determine the 55th stripe. The last four stripes that include 55 ends with the 56th stripe. This means that the 56th stripe is purple. Therefore, the 55th stripe would be white because it follows purple.
17. Its answer C i wil tell you the other one in a sec
Answer:
Y = X times 0.28
Step-by-step explanation:
1. You set it up as a proportionality
12/1 and 3.36/x
The x stands for how much money it takes to get 1 ounce
2. You do the old man line.
12 times x = 3.36 times 1
12x = 3.36
3. Now you divide 3.36 by 12
3.36 divided by 12
.28
4. You insert 0.28 into the problem
12 times 0.28 = 3.36
X = 0.28
So 1 ounce costs $0.28
So Y = X times 0.28
Explanation
Part A
We can use the formula below to find the mean.

We will then have;

Mean = 6.2632
Part B
Since the data set is odd.

Answer: From the column of cumulative frequency cf, the median is 7