Answer:
x=-20
Step-by-step explanation:
Given
-6(x+7)= -4x - 2
First of all, we have to solve brackets
So,
-6x-42=-4x-2
To find the solution of this equation, we have to isolate x on one side of the equation.
Adding 4x on both sides
-6x-42+4x = -2-4x+4x
-2x-42 = -2
Adding 42 on both sides
-2x-42+42 = -2+42
-2x=40
Dividing both sides by -2
-2x/2 = 40/-2
x = -20
The equation has only one solution which is x=-20 ..
Answer:
-1/10
Step-by-step explanation:
(5/(-10))/5 = -(5/10)/5 = 1/10
(Hopefully this helped you out!)
Given:
The equation in point slope form is
![y-4=\dfrac{3}{4}(x+8)](https://tex.z-dn.net/?f=y-4%3D%5Cdfrac%7B3%7D%7B4%7D%28x%2B8%29)
To find:
The equation of the same line in standard form.
Solution:
Standard form of a line is
![Ax+By=C](https://tex.z-dn.net/?f=Ax%2BBy%3DC)
We have,
![y-4=\dfrac{3}{4}(x+8)](https://tex.z-dn.net/?f=y-4%3D%5Cdfrac%7B3%7D%7B4%7D%28x%2B8%29)
Multiply both sides by 4.
![4(y-4)=3(x+8)](https://tex.z-dn.net/?f=4%28y-4%29%3D3%28x%2B8%29)
![4y-16=3x+24](https://tex.z-dn.net/?f=4y-16%3D3x%2B24)
Isolate variable terms.
![-3x+4y=16+24](https://tex.z-dn.net/?f=-3x%2B4y%3D16%2B24)
![-3x+4y=40](https://tex.z-dn.net/?f=-3x%2B4y%3D40)
Multiply both sides by -1.
![3x-4y=-40](https://tex.z-dn.net/?f=3x-4y%3D-40)
Therefore, the correct option is B.
Answer:
$1.06
Step-by-step explanation:
Kayla: 19 increase 6% =
19 × (1 + 6%) = 19 × (1 + 0.06) = 20.14
Michael: 18 increase 6% =
18 × (1 + 6%) = 18 × (1 + 0.06) = 19.08
Difference: 20.14 - 19.08 = 1.06