Answer:
y > (1/3)x - 3.
Step-by-step explanation:
The graph of a line can be written in y = mx + b form where b is the y-intercept and m is the slope.
In the image, the slope of the graph from the given points is 1/3.
In the image, the y-intercept is -3.
Therefore, the line is y = (1/3)x -3. However, we aren’t done yet! This is an inequality, not an equation!
We see the line isn’t dotted, so that means it must be > or <.
We substitute the point (0,0) into the line equation we got and find that 0 > (1/3)(0) - 3 = -3. Since (0,0) is part of the inequality, we have that y > (1/3)x - 3.
I hope this helps! :)
Answer:
C) 20, 4
Step-by-step explanation:
X = 5y
2x + 5y = 60
substitute in 5y for x: 2(5y) + 5y = 60
10y + 5y = 60
15y = 60
y = 4
x = 5y
x = 5(4) = 20
The first step is to determine the distance between the points, (1,1) and (7,9)
We would find this distance by applying the formula shown below
![\begin{gathered} \text{Distance = }\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ \text{From the graph, } \\ x1\text{ = 1, y1 = 1} \\ x2\text{ = 7, y2 = 9} \\ \text{Distance = }\sqrt[]{(7-1)^2+(9-1)^2} \\ \text{Distance = }\sqrt[]{6^2+8^2}\text{ = }\sqrt[]{100} \\ \text{Distance = 10} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BDistance%20%3D%20%7D%5Csqrt%5B%5D%7B%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%7D%20%5C%5C%20%5Ctext%7BFrom%20the%20graph%2C%20%7D%20%5C%5C%20x1%5Ctext%7B%20%3D%201%2C%20y1%20%3D%201%7D%20%5C%5C%20x2%5Ctext%7B%20%3D%207%2C%20y2%20%3D%209%7D%20%5C%5C%20%5Ctext%7BDistance%20%3D%20%7D%5Csqrt%5B%5D%7B%287-1%29%5E2%2B%289-1%29%5E2%7D%20%5C%5C%20%5Ctext%7BDistance%20%3D%20%7D%5Csqrt%5B%5D%7B6%5E2%2B8%5E2%7D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B100%7D%20%5C%5C%20%5Ctext%7BDistance%20%3D%2010%7D%20%5Cend%7Bgathered%7D)
Distance = 10 units
If one unit is 70 meters, then the distance between both entrances is
70 * 10 = 700 meters
Answer:
100 +3s≥ 160
You must sell as least 20 items
Step-by-step explanation:
You make 100 plus 3 dollars per sale
100 +3s
It must be at least 160
100 +3s≥ 160
Now we need to solve to see how many sales
100 +3s≥ 160
Subtract 100 from each side
100-100 +3s≥ 160-100
3s≥ 60
Divide each side by 3
3s/3≥60/3
s≥20
You must sell as least 20 items
