
Expanding the denominator gives

Then in the whole rational expression, we can divide through by

. Since

, we assume that

, so this is legal.

As

gets arbitrarily large, the rational terms in the numerator and denominator become negligible. So for large

, we have

And so the limit is

.
Answer:
the last one
Step-by-step explanation:
when looking for the function we have to know that none of the x values can repeat
in the first one the x value -5 repeats twice so that cannot be the answer
in the second one the x value 2 repeats twice so that cant be the answer
in the third one the x value -7 repeats twice so that also cannot be the answer
in the last one each x value has a different y value or every input has a different output therefore this one is the right answer
hope this helps :D
First calculate the area of the floor, this would be 30*50 = 1500 square feet
Now multiply the area by the cost for each square foot, so 1500*0.5 = $750
An algebraic expression would be:
720-20x
x=the number of days
Testing out the expression:
Ex: 9 days of deleting photos
720-20(9)
720-180
=540 photos left
Hope this helps!
-Benjamin