Step-by-step explanation:
the common increment is 20
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Remember that
The unit rate of change is the same as the slope
so
In this problem

The linear equation is equal to

To graph the line we need two points
we have (0,0) because the line passes through the origin
Determine other point
assume a value of x and calculate the value of y
For x=8

The other point is (8,3)
Plot the points and join them to draw the line
The graph in the attached figure
Simplifying
3m = 5(m + 3) + -3
Reorder the terms:
3m = 5(3 + m) + -3
3m = (3 * 5 + m * 5) + -3
3m = (15 + 5m) + -3
Reorder the terms:
3m = 15 + -3 + 5m
Combine like terms: 15 + -3 = 12
3m = 12 + 5m
Solving
3m = 12 + 5m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-5m' to each side of the equation.
3m + -5m = 12 + 5m + -5m
Combine like terms: 3m + -5m = -2m
-2m = 12 + 5m + -5m
Combine like terms: 5m + -5m = 0
-2m = 12 + 0
-2m = 12
Divide each side by '-2'.
m = -6
Simplifying
m = -6
the top of his graph for T should be at least
11 * 40 = 440
the h axis should be at least the number of hour he works
40
Answer:
4 seconds.
Step-by-step explanation:
Let t be the time in seconds when the cheetah catches the antelope.
-Cheetah's speed is 90ft/s and the antelope's is 60ft/s with a 120ft distance between them.
#The expression of the distance of the two when they catch up is;

#Since the distance of the two will be equal at that point:

Hence, the Cheetah catches the antelope after 4 seconds.