Identify the holes, vertical asymptotes, and horizontal asymptotes of the following.


[tex]f (x) = \frac{2}{x-3}[/tex]

Answers

Answer 1

Answer:

Horizontal asymptote: y = 0

Vertical asymptote: x = 3

Step-by-step explanation:

The vertical asymptote in this graph would be when x = 3 because it would make the denominator 0, which would make the equation undefined.

There will not be any holes in the graph, because there won't be any point undefined in the function except for when x = 3, but that's a vertical asymptote.

Now, for the horizontal asymptote, we see what value y approaches as x approaches plus and minus infinity. Since x is in the denominator, y will approach 0 when it's plus or minus infinity.

Horizontal asymptote: y = 0

Vertical asymptote: x = 3


Related Questions

I need help ASAP. Thank you in advance! The choices are true & false.

Answers

The answer is b I think

a chemical change creates a new

Answers

Answer:

A new substance with new and different physical and chemical properties.

Step-by-step explanation:

Chemical reactions involve combining different substances. The chemical reaction produces a new substance with new and different physical and chemical properties. Matter is never destroyed or created in chemical reactions. The particles of one substance are rearranged to form a new substance.

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

What is the equation of a line that is perpendicular yo the line whose equation is 2y+3x=1?

Answers

Answer:

y = 2/3x + 1/2

Step-by-step explanation:

First, make the equation into a slope-intercept form:

2y + 3x = 1

2y = -3x + 1

y = -1.5x + 0.5

You can make it into a fraction:

y = -3/2x + 1/2

Now here's the equation:

y = 2/3x + 1/2

Hope this helps!

Let me know if I'm wrong :)

find the 13 term
7 la For the sequence 11,13,15,17​

Answers

well i don’t understand your question but the pattern is infinitely (+2) the next 3 terms are 19,21,23

HELP PLEASE!!! 50 PTS
Which polynomial can be factored using the binomial theorem?

64x3 + 48x2 + 36x + 27
64x3 + 96x2 + 72x + 27
256x4 – 192x3 + 144x2 – 108x + 81
256x4 – 768x3 + 864x2 – 432x + 81

Answers

Answer:

x2 + 40x + 400

256x4 – 256x3 + 96x2 – 16x + 1

256x4 – 192x3 + 144x2 – 108x + 81

Step-by-step explanation:

Hope this helps.

Have a good night ma´am/sir.

Be safe!

Answer:

C

Step-by-step explanation:

Ed2021

Can someone please explain how to do this? Iʻm not sure.

Answers

This is the answer hope you get it :)
28 = -7/5y (cross multiply)
28*5 = -7y
140 = -7y (divide both sides by -7)
140/-7 = -7y/-7
-20 = y
y = -20

what are the slopes of the two lines?
green has two yellow dots.

Answers

Answer:

-7(1/7) = -1

Step-by-step explanation:

Help me on these questions

Answers

2) 5:3=15:25
3)18:12=27:8

help please?
What is the value of 4x + 3y - z, when x = 2, y = -3 and z = 1 *

Answers

Answer:

-2

Step-by-step explanation:

When you fill it in you get 4(2)+3(-3)-1 then multiply and add

If P(E)=0,40,P(E or F)=0.55, and P/E and F)=0.20, find P(F).
P(F)-(Simplify your answer.)

Answers

Answer:

screeeeeeeeeeredc vbggrewdsc

Step-by-step explanation:cdscx de2wqsax

wewdsnswercwdsx

Answer:    P(F) = 0.35

==================================

Work Shown:

P(E or F) = P(E) + P(F) - P(E and F)

0.55 = 0.40 + P(F) - 0.20

0.55 = P(F) + 0.20

P(F) + 0.20 = 0.55

P(F) = 0.55 - 0.20

P(F) = 0.35

---------

note: Sometimes you may see the formula as

P(E and F) = P(E) + P(F) - P(E or F)

but it's an equivalent form to the first equation above.

find the slope (5,4) (5,9)

Answers

Answer:

undefined

Step-by-step explanation:

To find the slope between two points, we can use the slope formula. The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.

By plugging in (5, 4) and (5, 9) for (x₁, y₁) and (x₂, y₂) respectively, we get:

[tex]m=\frac{9-4}{5-5}=\frac{5}{0}[/tex]

Note, we cannot divide by zero. By using the slope formula, we get that the slope is undefined.

I hope this helps. Happy studying.

Date:10/16/20
1. The largest river in the world is the Nile River. It is 4,132 miles long. The
longest river in the United States is the Missouri River. It is 2,540 miles long.
Which is the best estimate of the difference in the lengths of the Nile and
the Missouri rivers?
a. 1,000 miles
b. 1,600 miles
c. 2,000 miles
d. 6,600 miles
2. Each year, the NYC Humane Society works to raise as much money as
possible for the animal shelters. Last month, they raised $14,392 from donations
and $456,892 from pet adoptions. About how much money did they raise
altogether?

Answers

the answer to 1 is d and the answer to 2 is 471,284. Please review this topic when you get time.hope this helps

In the sequence, 2, 5, 8, 11, …, which expression describes the number
after x? Explain your choice.
Group of answer choices

x+3

x-3

x/3

3x

Answers

Answer:

the first one x+3 is the right answer

6. Jack is x years old
Jill is 8 years older than Jack.
Mary is three times older than Mary.
The Sum of their ages is 67.
(a) Form a simplified equation in terms of x
(b) Solve the equation and work out Rebecca's Mary's and Jill's ages

Answers

Answer:

i didn't understand in third line mate

The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass?

A) F = 16.1m
B) F = F equals StartFraction 16.1 Over m squared EndFraction.
C) F = 32.2m
D) F = F equals StartFraction 32.2 Over m squared EndFraction.

Answers

Answer:

fart poop ball tingle tingle pop tart and maybe not cause fart part and thg e answer is C

Answer:

Option C is Correct :  F = 32.2m

Explanation: I got it right on the quiz.

What is the simplest form of
N3240215
bº?
b20)
(Assume that a 20
and
18ab3
* 1864
O 162ab3
162ab4
RETRY
done

Answers

Answer:

A

and the answer to part b is

C

Step-by-step explanation:

Answer:

the other man is right

Step-by-step explanation:

a then c so have nice day love yall

A linear function f models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5. Identify the slope, y-intercept, and x-intercept of the graph.
FULL EXPLANATION PLEASE.

Answers

Answer:

this is your question

Step-by-step explanation:

please mark as brainliest

The slope of the linear function would be 1/6, [y] - intercept will be equal to -5 and [x] - intercept will be equal to 1/30.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written to express proportional relationship as -

y = kx  {k is constant}

We have a linear function f(x) that models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5

Since the dependent variable decreases 3 units for every 2 units the independent variable increases, we can write -

3y = 1/2x

y = 1/6x

At [x] = 0, y = - 5

So -

y = (1/6)x - 5

Now -

slope = 1/6

[y] - intercept = - 5

y = 0 = (1/6)x - 5

(1/6)x - 5 = 0

1/6x = 5

x = 1/30

[x] - intercept = 1/30

Therefore, the slope of the linear function would be 1/6, [y] - intercept will be equal to - 5 and [x] - intercept will be equal to 1/30.

To solve more questions on Money and taxes, visit the link below-

https://brainly.com/question/4448868

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Victor runs 3 laps around the track every 5 minutes. How long would it take to run 6 laps?

Answers

I believe 10 Bc it says 3 laps every 5 min

What is pi/π used for in math?

Answers

Its used to find the area and circumference of a circle

Answer:

It is the 16th letter of the Greek alphabet

Used to represent the mathematical constant.

Pi is the ratio of the circumference/diameter.

Hope this helps you!

I mark as brainliest ​

Answers

Answer:

The answer is D

Step-by-step explanation:

you might get confused with A but its D because D is separating 4 + 3 from 3 wich we are multiplying  and A is not. so the answer is D

How many times does three go into 35 m

Answers

Answer:

11 times

Step-by-step explanation:

35 divided by 3 = something like 11.6666666666. . .

That means that 3 only goes into 35 11 times since you don't count the 0.666666666. . .

Hope I helped :)

Please comsider Brainliest :)

[tex]\huge\boxed{11\;times.}[/tex]

We have the question...

How many times does 3 go into 35?

Well, this is pretty simple all you have to do is count up by 3s until you get to the number. Remember, it doesn't have to be exact though. So, here we go count by threes 11 times. We get 33 from 3*11. Therefore, your answer will be 11 times.

Another way to write -7/8

Answers

Answer:

In decimal form:

-0.875

Step-by-step explanation:

-7 divided by 8 = -0.875

-0.875 is another way

Student A: Types 32 words in 1 minute
Student B: Types one word in 0.05 minutes
Who types faster

Answers

Answer:

student A types faster

Step-by-step explanation: if student B can only type one word in 0.05 minutes then he would only be typing 20 words per minute, compared to the 32 student A can type.

The equation of a linear relation is y = -4x + 9

The missing number in the order pair is ( -15)

Answers

Answer:

6.

4.

Step-by-step explanation:

We need the value of x when y = -15:

-15 = -4x + 9

-4x = -15 - 9 = -24

x = 6.

-15 = -6x + 9

-6x = -24

x = 4.

- Austin is paid a salary of $350 weekly. What are his yearly earnings?

Answers

Answer:

average, he earns 16,800 dollars in 1 year

Step-by-step explanation:

he is paid 350 dollars a week

there are 4 weeks in a month and 12 months in 1 year.

350*4=1400

1,400*12 is 16,800.

350 times 53 weeks a year gives you 18,200

. I'm very bad in math help would mean alot to me ​

Answers

Answer:

(6,1)

Step-by-step explanation:

In order to find the third point, you first need to identify the side length of XZ. X is (1, 1) and Z is (1, 5). In order to find the length of this segment, you just need to subtract 1 from 5 since that is the difference in the y-values and the x-values are the same.

Now, you know that XZ = 4. The problem says that the area of the triangle is 10, and the area of a triangle is a = [tex]\frac{1}{2}[/tex]bh, so you can just insert the values into the equation to solve for the base:

a = [tex]\frac{1}{2}[/tex]bh

= 10 = (1/2) * b * 4

= 10 = 2b

= 5 = b

Because the base is 5 units long, you can just add 5 to the x-value of the point Z, since Y is 5 units to the right of it

Y is (1 + 5, 1)

Y is (6,1)

helllllppppp pleaseeeeee

Answers

Answer:

2nd choice

Step-by-step explanation:

The slope is 2/3 (rise/run) and the y-intercept is -2

When you put those values into f(x) = mx + b, you get f(x) = 2/3x - 2

Lisa bucket weighs 21kg after pouring out half it weigh 12kg what’s the wight of the bucket?

Answers

Answer:

Step-by-step explanation:

9kg

what is the least common denominator of 1/2, 2/3 and 3/8 A. 48 B. 24 C. 16 D. 12

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

(11 points!) PLEASEEEEEEEEE Find the value of x for numbers 6,7,8,and 9 and please attach work or a good explanation thank you sm in advance!❤️

Answers

(6) 2xº = 86º  ==>  x = 43

(7) 108º = 3xº  ==>  x = 36

(8) 72º = 4xº  ==>  x = 18

(9) 111º = (x + 21)º  ==>  x = 90

Answer:

1.

2x=86

x=43

2.

3x=108

x=36

3.

4x=72

x=18

4.

x+21=111

x=90

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