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VARVARA [1.3K]
3 years ago
10

How to find vertical asymptotes and horizontal asymptotes of a rational function?

Mathematics
1 answer:
irina1246 [14]3 years ago
7 0
A vertical asymptote occurs when the graph of a function approaches infinity as the independent variable approaches one or more specific rational values. This happens when the denominator of a fraction becomes zero. However, the fraction has to be in its simplest form (no common monomial factor between denominator and numerator).
A horizontal asymptote usually occurs for large positive or negative values of the independent variable where the function is a fraction and the polynomials forming the numerator and denominator have the same degree.
Example: y=(x+7)/(x-1) has a vertical asymptote at x=1 and a horizontal asymptote at y=1.
Example: y=(3x²+5x+9)/(x²-1) has a vertical asymptote at x=1 and at x=-1, and a horizontal asymptote at y=3.
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If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the tot
aev [14]

Answer:

The expression that is equivalent to the given expression is:

              5x+60

Step-by-step explanation:

It is given that:

if you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows.

so, let x be the initial number of marshmallows in each bag and now 12 are added to each bag this means that the number of marshmallows in each bag is:

                  x+12

Hence, total number of marshmallows in 5 bags is:

      5(x+12)=5×x+5×12

     5(x+12)=5x+60

        Hence, the answer is:

                    5x+60

8 0
3 years ago
I don’t know it tried solving it but couldn’t find it
Hitman42 [59]

8f - 25 = 47. Add 25 to both sides.

8f = 72. Divide each side by 8.

f = 9.

4 0
3 years ago
Read 2 more answers
What is wrong with this problem. 2(n +3) = 2n +3
LekaFEV [45]

Steps to solve:

2(n + 3) = 2n + 3

~Distribute left side

2n + 6 = 2n + 3

~Subtract 6 to both sides

2n = 2n - 3

~Subtract 2n to both sides

n = -3

Best of Luck!

7 0
3 years ago
2m divided by 3/9; m = 3/2
11Alexandr11 [23.1K]

Answer:

Not completely sure but I think 9

Step-by-step explanation:

In order to solve this equation, you would need to first multiply m by 2 to get 2 m. 3/2=1.5; 1.5*2 =3. 3/9 simplifies to 1/3

Then you would want to solve. So, you would need to divide 2 by 1/3 which would give you 9.

8 0
3 years ago
Helppppp thank you I appreciate it
Lilit [14]

Answer:

TshirtsyouyouyouyouyouyouyouyouyouyouyouyouyouisisyouyouIIisisyou

Step-by-step explanation:

pr.nepaltheyouyouyouyouyouyouyouyouyouyouyouisisisyouyouyou

8 0
2 years ago
Read 2 more answers
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