Answer:
As we get closer to x=-3, the limit is approaches -1, on both sides of -3 so this is a good limit so c is 8.
Step-by-step explanation:
In order for a limit to exists, the left side limit must exist and right side limit must exist and on top of that, they must be equal to each other.
In this case, this a piece wise function and by definition of a limit that exist, the limit of this piece wise function as x approaches 3 from either side, must be equal.
We let x=-3 for the top equation.

So we set the second equation equal to -1.




So the value of c is 8. We can prove this by graphing as well.
Answer:
480
Step-by-step explanation:
20 weeks
The initial equation is 25x+150=650. Since she already has 150, we can subtract that from the total to get 500. We now have that 25x=500. Divide by 25 on both sides to get 20 weeks
:)
Here is a graph. When you use a graphing calculator, it isn't always necessary to solve for y.
Note different colors are used for the different problems. Problem 2 has a dashed line, as described by "Remember, ...".
Answer:
c
Step-by-step explanation: