Step-by-step explanation:
|y – 3| − 4 ≤ −3
|y – 3| ≤ -3+4
|y – 3| ≤ 1
-1 ≤ y-3 ≤ 1
=> -1 ≤ y - 3 or y - 3 ≤ 1 (the first option)
Answer:
2,3
Step-by-step explanation:
2x+1<8
2x<7
x<7/2 or x<3.5
So, the values for x that make this statement true are 2 and 3, because they're both less than 3.5.
9.8 is a rational number that is between 9.7 and 9.9. Hope this helps!
Answer:
The answer is C.
Step-by-step explanation:
First, you have to find the interest amount after 6 years. In order to do this, you have to subtract :
![3967.50 - 3450 = 517.50](https://tex.z-dn.net/?f=3967.50%20-%203450%20%3D%20517.50)
Next, you have to apply simple interest formula, I = (P×R×T)/100 where I repesents interest amount, P is priciple, R is interest rate and T is number of years :
![i = \frac{prt}{100}](https://tex.z-dn.net/?f=i%20%3D%20%20%5Cfrac%7Bprt%7D%7B100%7D%20)
![let \: i = 517.50,p = 3450,t = 6](https://tex.z-dn.net/?f=let%20%5C%3A%20i%20%3D%20517.50%2Cp%20%3D%203450%2Ct%20%3D%206)
![517.50 = \frac{3450 \times r \times 6}{100}](https://tex.z-dn.net/?f=517.50%20%3D%20%20%5Cfrac%7B3450%20%5Ctimes%20r%20%5Ctimes%206%7D%7B100%7D%20)
![517.50 = \frac{20700r}{100}](https://tex.z-dn.net/?f=517.50%20%3D%20%20%5Cfrac%7B20700r%7D%7B100%7D%20)
![51750 = 20700r](https://tex.z-dn.net/?f=51750%20%3D%2020700r)
![\frac{51750}{20700} = r](https://tex.z-dn.net/?f=%20%5Cfrac%7B51750%7D%7B20700%7D%20%20%3D%20r)
![r = 2.5\%](https://tex.z-dn.net/?f=r%20%3D%202.5%5C%25)
Answer: D. 2
Step-by-step explanation:
Given
y-1=2(x--2)
Change signs
y-1=2(x+2)
Expand parenthesis
y-1=2x+4
Add 1 on both sides to isolate "y"
y-1+1=2x+4+1
y=2x+4
So the slope is 2
Hope this helps!! :)
Please let me know if you have any questions