Answer:
Incorrect
Step-by-step explanation:
We are given the equation:
![\displaystyle \large{|3x+8|-9=-5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B%7C3x%2B8%7C-9%3D-5%7D)
Add both sides by 9.
![\displaystyle \large{|3x+8|-9 + 9=-5 + 9} \\ \displaystyle \large{|3x+8|=4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B%7C3x%2B8%7C-9%20%2B%209%3D-5%20%2B%209%7D%20%5C%5C%20%5Cdisplaystyle%20%5Clarge%7B%7C3x%2B8%7C%3D4%7D)
When we want to tell if the absolute equation has solutions or not, we have to simplify in this form first: or isolate the absolute sign.
![\displaystyle \large{ |ax + b| = c}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%7Cax%20%2B%20b%7C%20%20%3D%20c%7D)
If c ≥ 0, the equation has solutions.
If c < 0, the equation does not have solutions.
Therefore, it does not always matter if the constant on right side is in negative because if there is a number on the left side then there is a chance that the equation has solutions.
From |3x+8| = 4 is equivalent |3x+8|-9=-5 and the right side is 4 which is positive.
Hence, the equation does have a solution!
96 - 4.5y - 3.2y = 5.6y + 42.80
96 - 7.7y = 5.6y + 42.80
96 = 5.6y + 42.80 + 7.7y
96 = 13.3y + 42.80
96 - 42.80 = 13.3y
53.2 = 13.3y
4 = y
hope that helps, God bless!
Answer:
-3
Step-by-step explanation:
Parallel lines share the same slope. Therefore, the slope of cd is -3.
b. 450.80
you multiply 40 x 9.80 ...equals 392.
<span>take 1/2 of 9.80...that equals 4.90. </span>
<span>4.90 plus 9.80 equals $14.70 x 4 = 58.80 </span>
<span>$58.80 plus 392. equals $450.80</span>
Answer:
y= -x-3
Step-by-step explanation:
A line is parallel to another line if their slope is the same. In this case the slope is -1 (-x is basically -1x). So far we have y=-x+b (We dont know what b is yet). next we can insert the coordinate back into the equation y=-x+b where 1 is the y and -4 is the x.
We get...
y= -x+b
1= -(-4)+b
1=4+b
b=-3
Our final equation is y=-x-3
Hope this helped