61+40=101
And what are jumps?
Answer: ![y=x^2+6x+7\\ x+y=1](https://tex.z-dn.net/?f=y%3Dx%5E2%2B6x%2B7%5C%5C%20x%2By%3D1)
Step-by-step explanation:
From the given graph we can see (-6,7) and (-1,2) are the intersection points of the a curve and a line .
Since we know that when the graphs of two equations cross, the point of intersection lies on both lines, means that it is a possible solution for both equations.
From all the options only last options satisfy the given intersection points.
For (-6,7) , ![(-6)^2+6(-6)+7=7](https://tex.z-dn.net/?f=%28-6%29%5E2%2B6%28-6%29%2B7%3D7)
![-6+7=1](https://tex.z-dn.net/?f=-6%2B7%3D1)
Hence,
, is the system of equations is represented by the graph.
Rest of the other options do not satisfy the given intersection points.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as there are no resources to help calculate the required equation.
The general explanation is as follows:
Pick any two points from the graph or table; assume the points are:
![(x_1, y_1) = (2, 10)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29%20%3D%20%282%2C%2010%29)
![(x_2, y_2) = (5, 16)](https://tex.z-dn.net/?f=%28x_2%2C%20y_2%29%20%3D%20%285%2C%2016%29)
Next, calculate the slope (m)
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
![m = \frac{16-10}{5-2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B16-10%7D%7B5-2%7D)
![m = \frac{6}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B6%7D%7B3%7D)
![m =2](https://tex.z-dn.net/?f=m%20%3D2)
Next, calculate the equation using:
![f(x) = m(x - x_1) + y_1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
This gives:
![f(x) = 2(x - 2) + 10](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%28x%20-%202%29%20%2B%2010)
Open bracket
![f(x) = 2x - 4 + 10](https://tex.z-dn.net/?f=f%28x%29%20%3D%202x%20-%204%20%2B%2010)
![f(x) = 2x +6](https://tex.z-dn.net/?f=f%28x%29%20%3D%202x%20%2B6)
When x = 0, we have:
![f(0) = 2*0 +6](https://tex.z-dn.net/?f=f%280%29%20%3D%202%2A0%20%2B6)
![f(0) = 0 +6](https://tex.z-dn.net/?f=f%280%29%20%3D%200%20%2B6)
![f(0) = 6](https://tex.z-dn.net/?f=f%280%29%20%3D%206)
<em>The above means that the shipping fee is #6</em>
Answer:
x=8
Step-by-step explanation: