Answer:
-14
Step-by-step explanation:
If you simplify the expression you get -14
Answer:
2:3
Step-by-step explanation:
ratio = 4:7
4 parts = 48
1 part = 12
Mary has 48
Anne has 84
Mary will have 56
56:84 = 2:3
The answer is D.
The phrase "three units to the right" shows that it is the roots of the solution, making it g(x) - (x - 3)².
The graph shows that it’s on points level 2 and 5, add 2 and five it gives you seven and that’s number does not exist
Answer:
![\begin{cases}y=-5x+1\\y=5x-4 \end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dy%3D-5x%2B1%5C%5Cy%3D5x-4%20%5Cend%7Bcases%7D)
Step-by-step explanation:
Slope-intercept form of a <u>linear equation</u>:
![\boxed{y=mx+b}](https://tex.z-dn.net/?f=%5Cboxed%7By%3Dmx%2Bb%7D)
where:
- m is the slope.
- b is the y-intercept (where the line crosses the y-axis).
<u>Slope formula</u>
![\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctextsf%7Bslope%7D%5C%3A%28m%29%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%7D)
<u>Equation 1</u>
<u />
Define two points on the line:
<u>Substitute</u> the defined points into the slope formula:
![\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%7Bslope%7D%5C%3A%28m%29%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cdfrac%7B1-6%7D%7B0-%28-1%29%7D%3D-5)
From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:
![y=-5x+1](https://tex.z-dn.net/?f=y%3D-5x%2B1)
<u>Equation 2</u>
<u />
Define two points on the line:
<u>Substitute</u> the defined points into the slope formula:
![\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%7Bslope%7D%5C%3A%28m%29%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cdfrac%7B-4-1%7D%7B0-1%7D%3D5)
From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:
![y=5x-4](https://tex.z-dn.net/?f=y%3D5x-4)
<u>Conclusion</u>
Therefore, the system of linear equations shown by the graph is:
![\begin{cases}y=-5x+1\\y=5x-4 \end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dy%3D-5x%2B1%5C%5Cy%3D5x-4%20%5Cend%7Bcases%7D)
Learn more about systems of linear equations here:
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