Answer:
The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)
Step-by-step explanation:
A rational equation is a equation where

where both are polynomials and q(x) can't equal zero.
1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of

in our denomiator.
So right now we have

2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.
We can model -2.5 as

So we have as of right now.

Now let see if this passes throught point (6,-3).


So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.
If we have a variable r, in the numerator that will make this applicable, we would get

Plug in 6 for the x values.



So our rational equation will be

or

We can prove this by graphing
Answer:
A. 5
Step-by-step explanation:
The marginal benefit of an article,
is calculated as:

Where
is the change in the total benefit of the article, and
is the change in the units of the article.
If we want to know the marginal benefit of watching the 3rd game, we need to use the information of total benefit of watching 2 games and 3 games.
In this case, the total benefit of watching 2 games is 120 and the total benefit of watching 3 games is 125, so
and
are equal to:


Then, the marginal benefit of watching the third game is:

She starts out with 3 dollars, and then she found 75 cents. 5 quarters are equal to $1.25.
The equation would be: (3 + 0.75) - 1.25
I cant see the full thing please crop
Answer: 15=10+5
Step-by-step explanation:
Subtract 55 from both sides.
15-5=a
Simplify 15-5 to 10.
10=a
Switch sides.
a=10