Answer:

Step-by-step explanation:
The given function is
.
We want to find the average rate of change of this function from
to
.
This is given by:

This implies that;






Answer:
<u>y = -1 (x) -1</u>
Step-by-step explanation:
If you plug in the numbers from the coordinates into the equation, you will find that it's true.
-1 is x and 0 is y. Plug in the #s like so:
y = -1 (x) -1
0 = -1 (-1) - 1
0 = 1 - 1
0 = 0
Therefore, the equation above represents the line that passes through both these points.
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Answer:
4m(4m-3)
Step-by-step explanation:
16m^2 − 12m
16 m^2 = 2*2*2*2*m*m
12m = 2*2*3*m
The greatest factor for 16m^2 and 12m is 2*2*m or 4m
Factor out 4m
16 m^2 = 2*2*2*2*m*m = 4m(2*2m)=4m(4m)
12m = 2*2*3*m = 4m(3)
Factoring out 4m
16m^2 − 12m
4m(4m-3)