7^5/4 would be the answer to the question I think you are asking
Answer:
4
Step-by-step explanation:
it is 4 because 4-2=2
2*2=4
Answer:
2
Step-by-step explanation:
Let's take any two points on the graph
1. (7, 3)
2. (8, 5)
Slope
= Δy/Δx
= 2/1
= 2
Answer:
![y = -\frac{1}{5}x + 5](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B5%7Dx%20%2B%205)
Step-by-step explanation:
Given
![5\ minutes = 4\ miles](https://tex.z-dn.net/?f=5%5C%20minutes%20%3D%204%5C%20miles)
![15\ minutes = 2\ miles](https://tex.z-dn.net/?f=15%5C%20minutes%20%3D%202%5C%20miles)
Required
Determine the equation
y represents distance
x represents time
So, the given parameters can be modeled (x,y) as:
![(x_1,y_1) = (5,4)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%285%2C4%29)
![(x_2,y_2) = (15,2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%2815%2C2%29)
First, we need to determine the slope of the function.
![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{2 - 4}{15 - 5}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B2%20-%204%7D%7B15%20-%205%7D)
![m = \frac{-2}{10}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-2%7D%7B10%7D)
![m = -\frac{1}{5}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B1%7D%7B5%7D)
The equation can be determined using:
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
Where
![m = -\frac{1}{5}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B1%7D%7B5%7D)
![(x_1,y_1) = (5,4)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%285%2C4%29)
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
becomes
![y - 4 = \frac{-1}{5}(x - 5)](https://tex.z-dn.net/?f=y%20-%204%20%3D%20%5Cfrac%7B-1%7D%7B5%7D%28x%20-%205%29)
Open bracket
![y - 4 = -\frac{1}{5}x + 1](https://tex.z-dn.net/?f=y%20-%204%20%3D%20-%5Cfrac%7B1%7D%7B5%7Dx%20%2B%201)
Solve for y
![y = -\frac{1}{5}x + 1 + 4](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B5%7Dx%20%2B%201%20%2B%204)
![y = -\frac{1}{5}x + 5](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B5%7Dx%20%2B%205)
Step-by-step explanation:
12x>7(4x+5)-19
12x>7*(4x+5)-19
12x>28x+35-19
12x-28x>16
-16x>16
16x>-16
x>-16/16
x<-1