Which of the following rational functions is graphed below?

Which Of The Following Rational Functions Is Graphed Below?

Answers

Answer 1

Answer: Choice C [tex]f(x) = \frac{1}{x(x+4)}[/tex]

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

Explanation:

The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.

The vertical asymptote is due to a division by zero error.

When x = 0, the denominator x(x+4) turns into 0 since

x(x+4) = 0(0+4) = 0*4 = 0

Similarly, when x = -4, the denominator is also zero

x(x+4) = -4(-4+4) = -4*0 = 0

So if x = -4 or x = 0, then we have a division by zero error and that's what produces the vertical asymptotes at those locations shown on the graph.

This is why the answer is choice C. [tex]f(x) = \frac{1}{x(x+4)}[/tex]


Related Questions

300,000 -7,000 + 100 + 60 +3?

Answers

Answer:

293,163

Step-by-step explanation:

300,000-7,000+100+60+3

293,000+100+60+3293,100+60+3293,160+3293,163

If James measures 5 feet 4 inches tall, how tall is James in inches? Answer without units. plss help

Answers

Answer:

64

Step-by-step explanation:

he's 64 inches tall

- multiply 12 by 5, which is 60

- then add four, 60 + 4 = 64

In the oak forest, 60 kids are playing capture the flag.That is 40 percent of all kids in the park.How many kids are in the park?

Answers

Answer:

150 kids

Step-by-step explanation:

If 60 kids is 40% of the total kids, we can add another 60 to get 80% and then half of 60 (30) to bring the total up to 100% of the kids.

150 kids because if you did the percents right then you would get the total and then divide it

please help im crying

Answers

Ok I gotcha I’ll let

Answer:

length=91

width=2

Step-by-step explanation:

182/2=91

91*2=182

Choose Yes or No to tell if each statement is true.

A rhombus is a trapezoid.
Choose yes or no

A parallelogram has exactly 1 pair of parallel sides.
Choose yes or no

A rectangle is also a rhombus.
Choose yes or no

A rectangle is also a parallelogram.
Choose yes or no

Please say yes or no for every answer.

Answers

Answer: No, No, No, Yes

Help please due now!

Answers

Answer:

90

Step-by-step explanation:

x•y-z²

x=9,y=14,z=6

9 • 14 - 6²

126-36=90

Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t tt, in years, since Bozena started studying the population, and the number of tigers, N ( t ) N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function: N(t)=537⋅(0.35)t2 Complete the following sentence about the rate of change in the tiger population. The population of tigers loses 65 % 65%65, percent of its size every years.

Answers

Answer:

every 2 years

Step-by-step explanation:

since it is t/2 for the exponent - thas the answer on khan

The rate of change in the population of the Siberian tigers loses 65% every two years.

What is an exponent?

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t, in years, since Bozena started studying the population, and the number of tigers, N(t), is modeled by the following function:

[tex]\rm N(t)=537\times (0.35)^{t/2}[/tex]

Then it is clear that the population of the Siberian tigers loses 65% of its size every two years.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

the base of a parallelogram is 2
more than the height
The area of the parallelogram is 120yd^2, find the base and the height

Answers

Answer22:22

Step-by-step explanation:

I NEED HELP WITH 8TH GRADE MATH

Answers

Answer:

Are you doing Pythagorean theorem?

If not, what is your unit topic?

Answer:

Step-by-step explanation:

3. 17

4. 24

5. 24.21

6. 40

7. 15.81

8. 16

1. Q1) Which number is missing from this prime factor
tree?

Answers

Answer:

2

Step-by-step explanation:

16

2x8

2x4

2x2

Use your choice of equal values, substitution, or elimination to solve the
following System of Equations, and show your work.
i are running a concession stand at a basketball game. You are selling hot
dogs and sodas. Each hot dog costs $3.00 and each soda costs $2.00. At the
end of the night you made a total of $213.00. You sold a total of 87 hot dogs
and sodas combined. You must report the number of hot dogs sold and the
number of sodas sold. How many hot dogs were sold and how many sodas
were sold?

Answers

Answer:

For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.

3x+2y=213

x  + y =87

We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.

3x+2y=213

3(x+y=87) --> 3x+3y=261

Now we can eliminate x.

  3x+2y=213

-  3x+3y=261

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

        -y=-48  

Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.

PLEASE HELP I WILL GIVE BRAINLIEST!! I NEED HELP FAST

Answers

Answer:

B=12/13

Step-by-step explanation:

Not positive, but i believe you are trying to find the angle measure using inverse sin or whatever its called and then reducing the fraction. SOHCAHTOA

-9m - 4 = -7m + 6 solve for m

Answers

Answer:

m = -5

Step-by-step explanation:

One week, Paige earned $165.75 at her job when she worked for 13 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $318.75?

Answers

Answer: 25 hours

Step-by-step explanation:

From the question, we are informed that Paige earned $165.75 at her job when she worked for 13 hours. This means that her hourly rate will be:

= $165.75 / 13

= $12.75.

The number of hours that she would have to work the next week to earn $318.75 will be:

= $318.75 / $12.75

= 25 hours

What is 11.242/22 eqaul?


I need ASAP

Answers

Answer:

11.242÷22=0.511

Plzzzzz give me Brainliest!!!!!  

The ratio of kids to adults at a school festival is 11 : 7. Suppose there are a total of 810 kids and adults at the festival. How many adults are at the festival?

Answers

Answer:

315

Step-by-step explanation:

So with the ratio, you can tell that 11/18 of the people at the festival are kids, and 7/18 are adults.

Since you want to find the number of adults, just multiply.

7/18 x 810

You can cross multiply to get rid of 18 and 810 will simplify into 45. So then you are left with multiplying

7 x 45

=315

So, 315 is your answer

Answer: 315 Adults.

Step-by-step explanation:

Let the number of adults is x.

Then the number of kids is (810-x).

The ratio of kids to adults is

810 - x/x = 11/7

It is your basic equation, which you get from the condition.

To solve it, cross multiply; then simplify

7*(810-x) = 11x

7*810 - 7x = 11x

7*810 = 11x + 7x

7*810 = 18x

x = 7 x 810/18 = 315.

Hello! I will give you fifteen points if you solve this correctly!

Answers

Answer:

mark each line about 1 in. apart

Plzzzzz give me Brainliest!!!!!  

While on vacation in Rockport, Shawn went out for a dinner that
cost $50. If sales tax in Rockport is 6% and Shawn left an 18%
tip on $50, what was the total cost of his meal?

Answers

The total cost is $62

Answer:

62

Step-by-step explanation:

uhh I need help what is equivalent to 1 to 4 ????​

Answers

Answer:

2/8

Step-by-step explanation:

What is the first step in solving this problem:
-2 •(3+8+4)2

Answers

the first step is to solve the parenthesis because of PEMDAS.


hope this helps,, have a nice day :))
The first part of solving this problem is the (3+8+4) because they’re in between the parentheses

can someone see and answer this

Answers

Answer:

D

Step-by-step explanation:

you can rule out answers A through C because the y values never match up to the ones on the table. D shows an increase in y by 4

HELP PLz it is hard answer both of them

Answers

Answer:

6.  162

7. c

Step-by-step explanation:

Answer:

6. 162

7. C

Step-by-step explanation:

6. Replace the values of a and b into the expression:

8a + 6b = 8(12) + 6(11)

             = 96 + 66

             = 162

7. The distributive property states that whatever is outside a bracket must be multiplied to ALL terms in the brackets:

5(2f+4) = (5 × 2f) + (5 × 4)

            = 10f + 20

y = –2x2 + 8x - 3
help :c

Answers

Answer:

8x-7

Step-by-step explanation:

-4+8x-3

8x-4-3

8x-7

The function f(x) = ( )* is translated up 4 units. Which equation represents the translated function?
g() = (5)***
g(x) = ()
g() = ()' +4
g(x) = (13) -4

Answers

Answer:

c

Step-by-step explanation:

How do I solve this using long division?

Answers

Answer:

x + 5

Explanation:

x^2 + 3x − 10 /x−2  

=  x^2 + 3x − 10 /x − 2

=  (x−2)(x+5) /x−2

= x + 5

Write a division number story with an answer of 3/5

Answers

Answer:

Tom had 5 friends with him at the beach.

John came by with out his shirt on, showing his muscles.

2 of Tom's friends left with John

What fraction of Tom's friends were left with Tom?

Step-by-step explanation:

Expression: Jacob shared 3 pizzas with four of the friends. And each of them get 3/5 pizzas.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Expression is 3/5.

To write a division number story with an answer of 3/5:

Jacob and his 4 friends went to pizza house.

That means, the total number of people = 5.

Jacob bought 3 pizzas and share with his friends.

So, each of them get 3/5 pizzas.

Therefore, required expression is, Jacob shared 3 pizzas with his 4 friends.

To learn more about the division;

brainly.com/question/13263114

#SPJ2

What's the answers to Part A and Part B?​

Answers

Answer:

there's nothing there

Step-by-step explanation:

PLS HELPPPPP THANK UUU
y = -x + 2
y = 3x - 4

a. x = 1/2, y = 3/2
b. x = 5/2, y = 1/2
c. x = 3/2, y = 1/2
d. x = 1/2, y = 5/2

+ graph

Answers

C. x=3/2 y=1/2

Hope this helps!

George collects 25 baseball cards each month. How many cards will he have at the end of one year? Complete the equation to help you solve the problem. 25 × = n

Answers

25(cards per month) x12(months in one year) =300 cards at the end of one whole year

Answer:300

Step-by-step explanation:

25 times 12

What is the minimum, First Quartile (Q1), Median, Third Quartile, Maximum for 5,6,8,8,9,10,13,14,16,16,16,18,19, 21,22,23,25 of the data set?

Answers

The answer above should be correct, I believe it is , but can you please mark me BRAINLEST?
Other Questions
How can calcium oxide change directly to limewater?Wants equation and observation PLEASE HELP ME FAST!!! Monica's bicycle wheel has a radius of 16 inches. Kevin's tricycle wheel has a radius of 8 inches. How many times larger is the circumference of Monica's wheel that the circumference of Kevin's tricycle wheel? Show your work Please help ASAP !! Which company had a monopoly in tea sales? widget is exported to China. It is priced at 8.59 in the UK. The Chinese government adds an import tariff of 25%. What price would it be to a Chinese customer? Write an equation of a line that has a slope of 7/2 and passes through the point (14,-3). Convert it to slope-intercept form. good night all [tex] {\boxed{\tt 1.}} \: \: \tt 24 + 5 \times 14 \div 2 = [/tex][tex]{\boxed{2.}} \: \: \: \tt 200 \div 4 \times 6 = [/tex]must accompany "step by step"! :) What does the salinity of seawater represent?The concentration of salt dissolve in the oceanThe concentration of all dissolved chemicals in the oceanThe volume of salt in the ocean the mass of salt in the ocean Subtract $987.59 from $1,581.06. The difference is?A. $593.47 B. $603.47 C. $693.47 D. $694.47 What distance is required for a trainto stop if its intial Velocity is 23 m/sand its deceleration is 0.25m/s (Assume the train decelerates at a constant rate.) Which equation is equivalent to 8x + 2y = 10? 4x+85(3-x) solve with steps pleaseee! what is an outcome of lack of oxygen? During Reconstruction, African Americans:A. lived in a society in which they attempted to become full citizens, in spite of the efforts of white Southerners.B. had no opportunity for schooling.C.were able to become independent farmers by purchasing their own land.D. lived in fully integrated urban societies.E. left the South in overwhelming numbers. Which of the following fractions makes the number sentence true? 2/7 * _ = 2/7A. 2/5B. 5/2C. 5/5D. 4/4 What must be included in an algebraicexpression? A an equals sign B at least one variable C one or more numbers D more than one operation According to President Wilson, what should unite Americans?A. A common language B. Love of country C. The strong economy How much of the matter in the universe is comprised of atoms?a. 1%b. 100%c. 30%d. 99% find each unit price to decide which is the best buy Can someone help with this?