Use parentheses for M and N
![(5x {}^{2} + 7x - 4 )- ( - 3 {x}^{2} - 4x + 5)](https://tex.z-dn.net/?f=%285x%20%7B%7D%5E%7B2%7D%20%2B%207x%20-%204%20%29-%20%28%20-%203%20%7Bx%7D%5E%7B2%7D%20-%204x%20%2B%205%29)
一一一一一
remove parentheses
![5 {x}^{2} + 7x - 4 + 3 {x}^{2} + 4x - 5](https://tex.z-dn.net/?f=5%20%7Bx%7D%5E%7B2%7D%20%2B%207x%20-%204%20%2B%203%20%7Bx%7D%5E%7B2%7D%20%2B%204x%20-%205)
一一一一一
add like terms
Answer:
I believe its 9 hours.
Step-by-step explanation:
Divide 180 by 12 to get 15
So Linda makes 15 dollars an hour
Then divide 135 by 15 to get 9
Linda would need to work 9 hours to get $135
Answer:
y = x + 3
Step-by-step explanation:
The equation of a line is y=mx + b, where m is the slope and b is the y-intercept.
In this case, the slope of the line is 1, and the y-intercept (the point where the line crosses the vertical axis) is 3. So you just need to plug in the 3 in place of b.
y = mx + b
m = 1
b = 3
y = x + 3
Answer:
Nico, Raj and Sandra are correct
Step-by-step explanation:
we have
![\frac{2}{5}(5+x)=8](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%285%2Bx%29%3D8)
<em>Method 1</em>
Solve for x
That means ----> isolate the variable x
we have
![\frac{2}{5}(5+x)=8](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%285%2Bx%29%3D8)
Multiply by 5/2 both sides
![(\frac{5}{2})\frac{2}{5}(5+x)=(\frac{5}{2})8](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B2%7D%29%5Cfrac%7B2%7D%7B5%7D%285%2Bx%29%3D%28%5Cfrac%7B5%7D%7B2%7D%298)
![5+x=20](https://tex.z-dn.net/?f=5%2Bx%3D20)
subtract 6 both sides
![5+x-5=20-5](https://tex.z-dn.net/?f=5%2Bx-5%3D20-5)
![x=15](https://tex.z-dn.net/?f=x%3D15)
<em>Method 2</em>
Solve for x
That means ----> isolate the variable x
we have
![\frac{2}{5}(5+x)=8](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%285%2Bx%29%3D8)
Multiply by 1/2 both sides
![(\frac{1}{2})\frac{2}{5}(5+x)=(\frac{1}{2})8](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%5Cfrac%7B2%7D%7B5%7D%285%2Bx%29%3D%28%5Cfrac%7B1%7D%7B2%7D%298)
![\frac{1}{5}(5+x)=4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%285%2Bx%29%3D4)
Multiply by 5 both sides
![(5)\frac{1}{5}(5+x)=(5)4](https://tex.z-dn.net/?f=%285%29%5Cfrac%7B1%7D%7B5%7D%285%2Bx%29%3D%285%294)
![5+x=20](https://tex.z-dn.net/?f=5%2Bx%3D20)
subtract 6 both sides
![5+x-5=20-5](https://tex.z-dn.net/?f=5%2Bx-5%3D20-5)
![x=15](https://tex.z-dn.net/?f=x%3D15)
<em>Method 3</em>
Solve for x
That means ----> isolate the variable x
we have
![\frac{2}{5}(5+x)=8](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%285%2Bx%29%3D8)
Apply distributive property left side
![\frac{2}{5}(5)+\frac{2}{5}(x)=8](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%285%29%2B%5Cfrac%7B2%7D%7B5%7D%28x%29%3D8)
![2+\frac{2}{5}(x)=8](https://tex.z-dn.net/?f=2%2B%5Cfrac%7B2%7D%7B5%7D%28x%29%3D8)
subtract 2 both sides
![2+\frac{2}{5}(x)-2=8-2](https://tex.z-dn.net/?f=2%2B%5Cfrac%7B2%7D%7B5%7D%28x%29-2%3D8-2)
![\frac{2}{5}(x)=6](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%28x%29%3D6)
Multiply by 5/2 both sides
![(\frac{5}{2})\frac{2}{5}(x)=(\frac{5}{2})6](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B2%7D%29%5Cfrac%7B2%7D%7B5%7D%28x%29%3D%28%5Cfrac%7B5%7D%7B2%7D%296)
![x=15](https://tex.z-dn.net/?f=x%3D15)
therefore
Nico, Raj and Sandra are correct
Answer:
This type of data is called Box and Whisker plots
Step-by-step explanation:
This type of data tells you the range of the data as well as the inner quartile range as it shows the minimum, maximum, median, and Q1 and Q3.