Which of the following rational functions is graphed below?

Which Of The Following Rational Functions Is Graphed Below?

Answers

Answer 1

Step-by-step explanation:

There is a vertical asymptote x=3 and x=-1 so our rational function will contain

(x-3)(x+1).

Since we have a horinzintal asymptote, our numerator will be either a constant function, or linear function.

we have a zero at approximately, at 1 so our numerator will include

[tex] \frac{x - 1}[/tex]

So our rational function is

[tex] \frac{x - 1}{(x - 3)(x + 1)} [/tex]

Answer 2

There is a vertical asymptote x=3 and x=-1 so our rational function will contain option C [tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex].

When do we get horizontal asymptote for a function?

The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.

Since we have a horizontal asymptote, our numerator will be either a constant function or a linear function.

We have given a zero at approximately, 1 so our numerator will include (x-1).

So our rational function is

[tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex]

Learn more about horizontal asymptotes here:

https://brainly.com/question/2513623

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Related Questions

Six divided by one thirds

Answers

Answer:

18/1

Step-by-step explanation:

Answer:

1/2. I think if I'm wrong I'm sorry

n - 1/8 = 3/8
I am no smort and i forgot to study for a test =|

Answers

Answer:

[tex]\boxed{\sf{n=\dfrac{1}{2}=0.5 }}[/tex]

Step-by-step explanation:

Isolate the term of n from one side of the equation.

n-1/8=3/8

First, add by 1/8 from both sides.

n-1/8+1/8=3/8+1/8

Solve.

Add the numbers from left to right.

3/8+1/8=4/8

Common factor of 4.

4/4=1

8/4=2

Rewrite as a fraction.

=1/2

n=1/2

Divide is another option.

1/2=0.5

n=1/2=0.5

Therefore, the final answer is n=1/2=0.5.

I hope this helps you! Let me know if my answer is wrong or not.

10 POINTS ALL FOR YOU IF YOU ANSWER IT

Answers

Answer:

x is equal to 30

<ABC is equal to 100°

<DBC is equal to 80°

Step-by-step explanation:

3x +10 +2x +20 =180

5x = 180 - 10- 20

5x = 150, divide both sides by 5

x is equal to 30

<ABC = 3x + 10 = 3 × 30 + 10 = 100°

<DBC = 180 - <ABC = 180 - 100 = 80°

I need help please I am good at read not math so please help I don't get it ):​

Answers

Answer: 782

Step-by-step explanation

It says it made a w

Answer:

Part A: Andy is incorrect

Part B: 3/20

Step-by-step explanation:

Part A: Since Andy:

Actions dvds = 3/5

Comedy dvds = 1/4

or = Add

3/5 + 1/4

12 + 5 /20 = 17/20

Thus, it doesn't equal to 4/9.

Part B: He needed to make 3/5 = 12/20 and 1/4 = 5/20.  Adding these together would be 17/20, making 3/20 of them NOT action or comedy.  17/20 + 3/20 = 20/20 or the total.

Therefore, 3/20 of them Not action or comedy.

~lenvy~

23. Your friend in Spain sends you a recipe. The directions say to pre-heat
the oven to 95°C. What is the temperature in degrees Fahrenheit?
(F = 1.8C + 32)

Answers

Answer:

203° F

Step-by-step explanation:

F = 1.8C + 32

F = 1.8 × 95 + 32

F = 203

A bycycling club has 18 members,of which 11 are males and the rest females. What is the ratio of males to all club members

Answers

Answer:

11 : 18

Step-by-step explanation:

to figure out number of female members (not neccessary to solve this problem)

18 members = male + female members

18 members = 11 members + female members

-11                      -11

---------------------------------------------------------------------

7 members = female members

ratio of males to all club members

11 : 18

Find (g•f)(3)
f(x) = |x + 2|
g(x)=-x^2

Answers

Answer:

-25

Step-by-step explanation:

This question is asking for a composite function.

Let's take this step-by-step!

[tex]f(x) = |x + 2|\\g(x) = -x^2[/tex]

(g•f)(3) means [tex]g(f(3))[/tex]

In English, this means we put 3 into f(x), and use the result for g(x).

First let's do f(x):

[tex]f(3) = |3 + 2| = |5| = 5[/tex]

The lines mean "modulus"/"absolute value" which makes any number positive

For example,

[tex]|-3| = 3[/tex]

[tex]f(3) = 5\\g(f(3)) = g(5)\\g(5) = -(5)^2 = -25[/tex]

I NEED HELP ASAP I WILL GIVE BRAINLY~

Answers

Answer:

x + 5

Step-by-step explanation:

i think

Help!! ( will mark brainly)

Answers

Answer:

Multiply 20%, or 1/5, times 200 to get about 40 students.

Step-by-step explanation:

You fill in the rounded numbers you got already, like the 19% to 20%, and the 205 to 200. You substitute the information into the blanks to get the answer.

I hope this helps and please mark me as brainliest!

4. The fourth proportional of 7,3 and 98 is:
A.
040
B.
042

Answers

Answer:

If

a

b

=

c

d

=

e

f

then prove that

2a+3c-4e

2b+3d-4f

=

5a-4c+3e

5b-4d+3f

1. If

a

b

=

c

d

=

e

f

, then prove that

2a+3c-4e

2b+3d-4f

=

5a-4c+3e

5b-4d+3f

2. If

x

b2-c2

=

y

c2-a2

=

z

a2-b2

, then prove that x+y+

Step-by-step explanation:

The required proportional of 7, 3, and 98 is  42. Option B is correct.

Given that,
The fourth proportional of 7,3 and 98 is to be determined.

What is proportionality?

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
let the required proportional be x,
now,
7 / 3 = 98 /x
x = 98  * 3 / 7
x = 42

Thus, the required proportional of 7, 3, and 98 is  42. Option B is correct.

Learn more about proportionality here: https://brainly.com/question/22620356

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Which correctly compares the numbers?

518,317 > 518,246 > 518,197
678,200 > 678,194 > 678,227
290,061 > 289,937 > 290,324
158,364 > 158,379 > 158,397

Answers

Answer:

518,317 > 518,246 > 518,197

please answer with steps

Answers

Answer:

9 litres

Step-by-step explanation:

the volume (V) of the tank is calculated as

V = lbh ( l is length, b is breadth , h is height )

here l = 60 cm, b = 15 cm, h = 10 cm , then

V = 60 × 15 × 10 = 9000 cm³

using the conversion 1 litre = 1000 cm³ , then

V = 9000 ÷ 1000 = 9 litres

Answer:

  9 liters

Step-by-step explanation:

It is often convenient to make use of the fact that 1 liter is 1000 cm³, or 1 dm³, where 1 dm = 10 cm. Expressing the tank dimensions in decimeters, we see they are ...

  L = 6 dm, W = 1.5 dm, H = 1.0 dm

Then the volume is ...

  V = LWH

  V = (6 dm)(1.5 dm)(1.0 dm) = 9.0 dm³ = 9 L

9 liters of water are needed to fill the empty tank.

dude why is no one answering. Michelle walks 1/4
hour every day of the week (Monday through Sunday). Sandra walks 2/4
hour per day, but only on weekdays (Monday through Friday). Both Michelle and Sandra continue their routines for 9 weeks.

Calculate who walked the most over this 9 week period, and calculate how much more time this person walked than the other person. Be sure to show how you calculated each person's total walking time as a mixed fraction, and show how you calculated how much more time was walked by either Michelle or Sandra as a mixed fraction.

Answers

Answer:

Michelle walks 1 4 hour every day of the week (Monday through Sunday). Sandra walks 2 4 hour per day, but only on weekdays (Monday through Friday). Both Michelle and Sandra continue their routines for 9 weeks. Calculate who walked the most over this 9 week period, and calculate how much more time this person walked than the other person. Be sure to show how you calculated each person's total walking time as a mixed fraction, and show how you calculated how much more time was walked by either Michelle or Sandra as a mixed fraction. this is a word problom

Answer:

people are not doing it it's because that it's multiplying mixed numbers by whole numbers and we don't really need to do that

Step-by-step explanation:

WILL MARK BRANLIEST

A cone has a radius of 10 and a height of 3. What is lateral area of cone. show work please.

Answers

Answer:

326.56 sq. units

Step-by-step explanation:

Calculating the slant height

⇒ 10² + 3² = L²⇒ L = √109

Formula

LSA = πrL

Subbing in the values

LSA = 3.14 x 10 x √109LSA = 31.4 x  10.4LSA = 326.56 sq. units

Smith has p small balloons and 20 big balloons write the expression that shows how many balloons smith has?

Answers

Smith's balloon is an algebraic expression

The expression that represents how many Balloons Smith has is p + 20

How to determine the number of ballons?

The given parameters are:

Small = p

Big = 20

Add the number of small and big ballons to get the total number of ballons

Total = Small + Big

This gives

Total = p + 20

Hence, the expression that represents how many Balloons Smith has is p + 20

Read more about expressions at:

https://brainly.com/question/723406

I really need help with this
I will check to see if it right before giving points thank you.

Answers

Step-by-step explanation:

For the question question, since they are giving you the function you just need to find the input that matches the expected output (y) which will be the number of miles biked. So what numbers multiplied by 12 give you 12, 36, and 48?

You could substitute y into an algebraic function to find these values.

We'll use 36 miles as an example.

If 12x = y then

12x = 36

divide both sides by 12

x = 3

For the second question you are given the x value (number of guests) and just need to calculate y (cupcakes each guest is allowed) by dividing 30 by  the number of guests (x).

8. Identify the point corresponding to P.

Answers

Answer:

So I might not be understanding, but P is at (-4,0) and Q is at (-1,-3)

Joe has 1500 minutes per month on her cell phone how many more minutes can she use if she already use 325 minutes

Answers

Answer:

1500-325

=1125

Step-by-step explanation:

1500 minutes minus 325 minutes is equal to 1125 minutes remaining

Fill in the blank
The composite figure shown is made up of a cylinder and a
12 cm
4 cm
20 cm

Answers

Answer: cone

Step-by-step explanation:

The bottom figure is a cylinder. A cylinder is basically a rectangle wrapped around two circles.

The top figure is a cone. A cone’s net looks like a triangle with a curved base wrapped around a circle. If you don’t believe the top figure is a cone, think about what ice cream cones look like. The top figure is a cone.

Given the cost function C(x) = 0.81x + 60, 420 and the revenue function R(x) = 1.87x, find the break-even point

Answers

Answer:

x = 57,542.8571

Step-by-step explanation:

C(x) = 0.81x + 60,420

R(x) = 1.87x

At break even point, Cost function and revenue function becomes equal.

-> C(x) = R(x)

-> 0.81x + 60,420 = 1.87x

-> 60420 = 1.87x - 0.82x

-> 60420 = 1.05x

-> x = 60420/1.05

-> x = 57,542.8571

Thus, at break even point x = 57,542.8571

The expression (3 - 7i)2 is equivalent to

Answers

Answer:

Step-by-step explanation:

HELP MEEEEE
Write the equation for each translation of the graph y=|1/2x-2|+3
one unit to the right

Answers

y= |1/2x - 3 | + 3. Is the answer

What is the slope of a line parallel to the line whose equation is 2x + 12y = -192
Fully simplify your answer.

Answers

Answer: -[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

      To solve this question, I am going to first put the equation into slope-intercept form.

      2x + 12y = -192

      12y = -2x - 192

      y = -[tex]\frac{2}{12}[/tex] - 16

      y = -[tex]\frac{1}{6}[/tex] - 16

      Now that the first equation has an easily identifiable slope, we can answer the question. Parallel lines will have the same slope, so that means the answer will be:

             -[tex]\frac{1}{6}[/tex]

Answer: 1/-6

Step-by-step explanation:

i had this equation

im confused can somebody help me please

Answers

well, we know the piece-wise function is [tex]f(x)= \begin{cases} 7x+10&x < 0\\\\ 7x+20&x\geqslant 0 \end{cases}[/tex]

hmmm so what's f(-1), namely what is f(x) when x = -1?

well, when x = -1, hmm -1 is less than 0, so the subfunction that applies to that will be when "x" is less than 0, namely the part of 7x + 10, so we can say

f(-1) = 7(-1) + 10

f(-1) = 3

so hmm what's f(0) or namely, what's f(x) when x = 0?

well, what subfunction applies when x = 0? well, it has to be the subfunction with "x greater or equals to 0", x ⩾ 0, so then is 7x + 20

f(0) = 7(0) + 20

f(0) = 20.

i need help please i am giving 100 points and brainliest

Answers

Answer:

-3

Step-by-step explanation:

-7x + 4x = 9

-3x = 9

x = 9/(-3)

x = -3

MARK ME AS BRAINLIST
firstly, you want to add: -7x+4x= -3x
2nd: divide -3 on BOTH sides which would look like:
-3x=9
- -
-3 -3
which would then equal
x= -3

PLEASE HELP MEEEEEEE

Answers

Answer: (2,2)

Step-by-step explanation:

help help help help can u show some work its due tomorrow

Answers

Answer:

Process

Step-by-step explanation:

I won't give the answers but i will explain the process... You can combine variables if they are similar. Example if you have 3g+2-2g-5 you can combine the numbers with g - you would have a positive 3g and a nagative 2g, 3-2 is 1g or g.. Then you can combine the positive 2 and negative 5. I hope this helps!

30
According to a survey at a local mall, 32% of the shoppers jog at least 3 days per week. Sam
asked 15 people at the mall whether they jog at least 3 days per week, and 8 people said yes.
Based on the survey, how many people should Sam have expected to say yes?
A
3
B 5
С
7
D 10
to know the most imnortant reason that neonle choose their brand of

Answers

Using the binomial distribution, it is found that Sam should have expected 5 people to say yes.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

The expected value is given by:

E(X) = np.

In this problem:

15 people were sampled, hence n = 15.32% of the shoppers jog at least 3 days per week, hence p = 0.32.

Hence, the expected value for the number of people that say yes is given by:

E(X) = np = 15 x 0.32 = 5.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

What is the value of the expression shown below?

7 + (2 + 6) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4


Which two expressions are equivalent to 4(7x + 2 + x)?

Answers

Answer:

9

Step-by-step explanation:

i dont know 100% but i think is 9

Please hurry
What is the surface area of this figure? Enter your answer in the box.​

Answers

Answer:

692ft3

Step-by-step explanation:

Surface area of the rectangular prism;

SA = lw(2) + wh(2) + hl(2)

SA = 15(5)(2) + 5(8)(2) + 8(15)(2)

SA = 150 + 80 + 240 =

SA = 470ft3

Surface area of the triangular prism

SA = (S1 + S2 + S3) l + bh

SA = (9 + 9 + 11) 5 + 11(7)

SA = (29) 5 + 11(7)

SA = 145 + 77

SA = 222ft3

Add both the SA's

470ft + 222ft = 692ft3

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