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

0.11 times 734 Answer please.

Answers

Answer:80.74

Step-by-step explanation: lol

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.

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.

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:

Rewrite the decimals as fractions 3.34

Answers

167/50 is a fraction i got


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

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

16. Solve for x. x = __________

Answers

Answer:

20

Step-by-step explanation:

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

-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)

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

Answers

Answer:

4m^5

Step-by-step explanation:

Answer:

4m^5

Step-by-step explanation:

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:

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 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

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:

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 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

Need help once again!!!

Answers

Answer:

the answer to this question is seven

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

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

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:

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

Please help... 12 points please thank you!

Answers

Number of dollars I think
Sorry if I’m wrong

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

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

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

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

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

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

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.

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