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:
brainly.com/question/28164947
brainly.com/question/28093918
3x^2+1/ (1-x) (x+3) you have to simplify the expression
Answer:
Kami sold 28 large figurines
Step-by-step explanation:
L = number of large figurines
S = number of small figurines
L+S = 70 since he sold 70 figurines
12L = 8S since the amount of money collected for the large figurines is equal to the amount of money for the small figurines
L+S = 70
12L = 8S
Divide by 8
12/8 L = S
3/2 L = S
Substitute this into the first equation
L+S = 70
L + 3/2 L = 70
Get a common denominator
2/2 L + 3/2L = 70
5/2 L = 70
Multiply each side by 2/5
2/5 * 5/2 L = 70 * 2/5
L = 28
Kami sold 28 large figurines
Answer:
(-inf, 3)
Step-by-step explanation:
-13x > - 39
Multiply by -1/13, and flip the inequality.
x < 3
Answer:
![\frac{c-3p}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bc-3p%7D%7B7%7D)
Step-by-step explanation:
1) 4(2a+p)=c+p+a
2) Expand: 8a+4p=c+p+a
3) subract a and 4p: 7a=c-3p
4) Divide: a=![\frac{c-3p}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bc-3p%7D%7B7%7D)
<u><em>Answer provided by Education Point</em></u>