Answer:
x ≤ 1 and x ≥ −15
Step-by-step explanation:
<u>Solving Absolute Value</u>
- We know that x + 7 ≤ 8 or x + 7 ≥ -8
<u>Condition 1:</u>
Step 1: Subtract 7 from both sides.
<u>Condition 2:</u>
Step 1: Subtract 7 from both sides.
Therefore, the answer is x ≤ 1 and x ≥ -15.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
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Answer:
54
Step-by-step explanation:
2x+2=3x-52
-2x -2x
2=x-52
+52 +52
54=x
Answer:
The percentage decrease is 29%
Step-by-step explanation:
Given
![Initial = 300](https://tex.z-dn.net/?f=Initial%20%3D%20300)
![Final = 213](https://tex.z-dn.net/?f=Final%20%3D%20213)
Required
Determine the percentage decrease
This is calculated as thus:
![\%Percentage = \frac{|Final - Initial |}{Initial} * 100\%](https://tex.z-dn.net/?f=%5C%25Percentage%20%3D%20%5Cfrac%7B%7CFinal%20-%20Initial%20%7C%7D%7BInitial%7D%20%2A%20100%5C%25)
Substitute values for Final and Initial
![\%Percentage = \frac{|213 - 300|}{300} * 100\%](https://tex.z-dn.net/?f=%5C%25Percentage%20%3D%20%5Cfrac%7B%7C213%20-%20300%7C%7D%7B300%7D%20%2A%20100%5C%25)
![\%Percentage = \frac{|-87|}{300} * 100\%](https://tex.z-dn.net/?f=%5C%25Percentage%20%3D%20%5Cfrac%7B%7C-87%7C%7D%7B300%7D%20%2A%20100%5C%25)
<em>Get absolute value of -87</em>
![\%Percentage = \frac{87}{300} * 100\%](https://tex.z-dn.net/?f=%5C%25Percentage%20%3D%20%5Cfrac%7B87%7D%7B300%7D%20%2A%20100%5C%25)
![\%Percentage = \frac{87* 100\%}{300}](https://tex.z-dn.net/?f=%5C%25Percentage%20%3D%20%5Cfrac%7B87%2A%20100%5C%25%7D%7B300%7D)
![\%Percentage = \frac{8700\%}{300}](https://tex.z-dn.net/?f=%5C%25Percentage%20%3D%20%5Cfrac%7B8700%5C%25%7D%7B300%7D)
![\%Percentage = 29\%](https://tex.z-dn.net/?f=%5C%25Percentage%20%3D%2029%5C%25)
Hence, the percentage decrease is 29%
Slope is rise over run so
(21-18)/(6-3), 3/3=1, slope is 1
plug in to find b value
18=3+b, b=15
ANSWER: y=x+15