How do you find the horizontal and vertical asymptote of a rational function?

Answers

Answer 1

The vertical asymptote of a function can be determined by setting its denominator equal to zero (0) and solving for x.

The horizontal asymptote of a function can be found by determining the degrees of the numerator and denominator.

What is an asymptote?

In Mathematics, an asymptote can be defined as a line which the graph of a given function approaches but would never touch. Additionally, the vertical asymptote of a function simply refers to the value of x which makes its denominator equal to zero (0).

In order to graph any rational function, you should determine the values for which it is undefined. This ultimately implies that, a function is considered as undefined when the value of the denominator is equal to zero, which represents vertical asymptote lines.

Read more on asymptote here: brainly.com/question/28003042

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Related Questions

What are two numbers that when multiplied equal -30 and when added together equal 1?

Answers

Answer:

6 and -5

Step-by-step explanation:

6 times -5 = -30

6 + (-5) = 1

what is the answer of 2m^2 * 2m^3

Answers

Answer:

4m^5

Step-by-step explanation:

Answer:

4m^5

Step-by-step explanation:

Select all of the angles that are congruent to \angle 5.

Answers

Answer:

<5 = <8 b/c of vertical angles

<5 = <4 because of alternate interior angles

<5 = <1 because of corresponding angles

One number is 5 more than another number. Three times the greater plus twice the lesser is 30. Determine the numbers.

Answers

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

One number is 5 more than another number. Three times the first plus twice the second is 30.Find the numbers.

x = first number

y = second number

x=y+5

3x +2y = 30

lets substitute x=y+5 in the second equation for x;

3(y+5) + 2y =30

3y + 15 + 2y = 30

5y + 15 =30

5y = 30 -15

5y = 15

y = 3

Now that we have y lets plug that answer into either equation for y;

x = 3 + 5

x = 8

:) if I’m wrong I’m very sorry.

Michael is buying new tile for his bathroom. The bathroom is 6 feet wide and 7 feet long. It costs $1.75 per square foot of material for the bathroom. If Michael goes to the store with $70, will he have enough money to buy the material. Why or why not.

Answers

Answer: yes because  all the math adds up to 22.75 and he has 70

Step-by-step explanation:

Solve for x. Give explanation

Answers

Answer:

x =  47 degrees.

Step-by-step explanation:

The angles in a triangle add up to 180 degrees, therefore:

x + 43 + 90 = 180

x = 180 - 43 - 90

x = 180 - 133

= 47 degrees.

What is the length of JK¯¯¯¯¯, to the nearest tenth of a millimeter? 4.5 mm 5.6 mm 8.3 mm 19.9 mm A horizontally-aligned scalene triangle J K L. Side J L is labeled as 3 millimeters. Side L K is labeled as 5 millimeters. Angle L is labeled as 62 degrees.

Answers

Answer:

5 = side a

3 = side c

angle B = 62 degrees

JK is side b

Use the Law of Cosines to find the length of side b.

b^2 = a^2 + c^2 − 2ac cos(B)

b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)

b^2 = (25 + 9) − 30 x 0.469

b^2 = 34 - 30 x 0.469

b^2 = 34 - 14.084

b^2 = 19.916

b = √19.916

b = 4.463

Rounded to the nearest tenth is 4.5 mm.

Hope this helps!

Step-by-step explanation:

Answer:

4.5 mm

Step-by-step explanation:

0.11 times 734 Answer please.

Answers

Answer:80.74

Step-by-step explanation: lol

hello help please i’ll give brainliest

Answers

Answer:

Erosion by groundwater.

Step-by-step explanation:

Sinkholes are formed when groundwater dissolves rocks underneath the land surface.

Answer:

Erosion of groundwater because the water goes through the rock and "weekends" them into collapsing. Almost like tripping if you will.

Step-by-step explanation:

Help me, I will give brainliest to best answer. No work needs to be explained.

Write three hundreths as a decimal.

Use digits to write each decimal number:
a. one hundred two and three tenths
b. one hundred twenty-five ten-thousandths
c. three hundred and seventy-five thousandths

Answers

Answer:

3.00 I think or 30.0 I really don't know but that's what I think

Joey and her sister are helping remodel their parent's house.

They plan to carpet the bedroom which is 14 feet by 16 feet.

The carpet is priced at $1.90 per square foot.

How much can they expect to pay for the new carpet?

Answers

Answer:

They will have to pay $425.60

Step-by-step explanation:

14*16 equals 224 feet

224 feet times $1.90 equals $425.60

What is 73/48 simplified

Answers

Answer:7348 is already in the simplest form. It can be written as 1.520833 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Answer: it’s already at its lowest form

Step-by-step explanation:

What is the slope-intercept equation for the line below?
5
(54)
(0, 2)
- A. y = 2 x + 2
D. -- +2

Answers

It would be at 35 when you work all then problems together

-5x=10 plz no links thanks

Answers

Answer:

2

Step-by-step explanation:

2x5=10

Answer:

-5x=10

x= 10/(-5)

x = -2 (sign in the denomiantor comes to numerator)

16. Solve for x. x = __________

Answers

Answer:

20

Step-by-step explanation:

Rewrite the decimals as fractions 3.34

Answers

167/50 is a fraction i got

Need help on this, I have no idea what should go on the first line or the second line​

Answers

Answer:

1.) 120

2.)120

Step-by-step explanation:

1.) Do length times width

2.) For the number 120 you don't have to round, so it just stays the same

What is 5x6 equal too?

Answers

Answer:

30

Step-by-step explanation:

6+6+6+6+6 or 5+5+5+5+5+5

Answer:

30

Step-by-step explanation:

cause you can do it mentally or you can do 5+5+5+5+5+5, cause its 5 six times. Or 6 five times. 6+6+6+6+6


These two polygons are similar.
4
2
9
16
15
w
w = [? ]


45 points asap for anyone who can answer

Answers

6/2=3
The scale factor is 3
3x3=9
w=9

Please help... 12 points please thank you!

Answers

Number of dollars I think
Sorry if I’m wrong

Need help once again!!!

Answers

Answer:

the answer to this question is seven

Which of the following systems of equations creates the graph of (-3.4, 2.3)?

Option 1 : y= 2x+4
y= -1/3x-8
Option 2 : y= 1/2x-8
y= -3x-8/3
Option 3 : y= 1/2x+4
y= -3x-8
Option 4 : y= 2x-8
y= -1/3x-8/3

I need an answer ASAP, I will mark u brainliest if the answer is valid! thx

Answers

Answer:

C

Explanation:

The answer is C because when you plug in (-3.4) as x in that equation, you get 2.3 as an answer which means that option is correct.

[tex]y = \frac{1}{2} x + 4[/tex]

[tex] = \frac{1}{2} ( - 3.4) + 4[/tex]

[tex] = 2.3[/tex]

When you plug in x for other options, you do not get the correct value for y so this is the only answer.

32 divided 10 - 8 divided 2 - 3

Answers

Answer:

-3.8

Step-by-step explanation:

Answer:

-3.8 i think sorry this is the first one im not sure with.

Step-by-step explanation:

32/10=2.4

3-2=1

2.4-8=5.6

5.6/1=5.6

=-3.8

Describe a real world situation where you might use the Pythagorean Theorem. Help due today :))

Answers

Answer: When carpenters want to construct a guaranteed right angle, they can make a triangle with sides 3, 4, and 5 (units). By the Pythagorean Theorem, a triangle made with these side lengths is always a right triangle, because
3^2
+
4^2
=
5^2


Explanation: hope this helps

Help me please I will give Brainliest!

Answers

Answer:

n = 4.5

Step-by-step explanation:

I think it is 4.5 because n is 3 units ahead of 1.5 on the number line:

1.5+3=4.5

Urgent!! Math help!!! Pls answer them all or the ones you know! I’ll make you brain-list!

Answers

Answer:

1) mEF is 38°

2) mDE is 52°

3) c. 6.28

4) b. 20.94

Step-by-step explanation:

1) mEF is corresponding to mHG

2) mDE + mEF = 90, so 90-38=52

3) L=r·∅    so L=3·120 (in radians)

4) Couldn't see Q, but based on the right angle we can assume the inside angle for mQPT is 119°

what equation is equal to y-34=x(x-12)

Answers

Answer: I don’t know how to solve for x but I know how to solve y for y=x^2-12x+34

Step-by-step explanation: Hope this help :D

Mary spent a total of $322.53 for a party. She spent $200.97 on food, plus an additional $30.39 for each hour of the party. How long
was the party?

Answers

Answer:

4 hours

Step-by-step explanation:

y = total cost

x = per hour

Equation:

y = 200.97 + 30.39x

322.53 = 200.97 + 30.39x

322.53 - 200.97 = 30.39x

121.56 = 30.39x

x = 4

322.53 - 200.97 = 121.56

121.56 is the money she has left over after buying food so
121.56/30.39=4 hours

2. Eli has 600 cubes that are 1 cubic inch. Select the smallest length a cube- shaped box can have while being able to hold the 600 cubes. A 7 in. B 8 in. C 9 in. D 10 in.

Answers

Answer:

9 in

Step-by-step explanation:

We need to find x in x^3 > 600

For x=8, 8^3 = 512 < 600 (Too Small)

For x=9, 9^3 = 729 > 600 (Just right)

For x=10, 10^3 = 1000 > 600 (Too big)

Therefore, the smallest length of the cube-shaped box is 9 in.

Mrs Chen buys 3 identical boxes of chocolates from a super market .
She uses a $50 note to pay for them and gets $8 change. How much does
each box of chocolates cost?

Answers

Answer:

50 - 8 = 42

divide 42 by 3!

5.25

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