What is the formula of rational function?

Answers

Answer 1

The formula of rational function is [tex]R(x) = \frac{P(x)}{Q(x)}[/tex] , where P(x) and Q(x) are polynomial functions.

What is rational function ?

A rational function is one that can be written as a polynomial divided by a polynomial. Since polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator. Example 1. f(x) = [tex]\frac{x}{x - 2}[/tex].

Rational functions are typically identified by the degrees of the numerator and denominator. For example, a quadratic for the numerator and a cubic for the denominator is identified as a quadratic/cubic rational function. A rational function model is a generalization of the polynomial model.

The formula of rational function is [tex]R(x) = \frac{P(x)}{Q(x)}[/tex] , where P(x) and Q(x) are polynomial functions.

To learn more about rational function visit : brainly.com/question/27914791

#SPJ4


Related Questions

A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume, in cubic inches?

Answers

Answer:

380 cubic inches

Step-by-step explanation:

The basic formula is length x width x height, so it's pretty simple, you just do 4 x 19 x 5! The order doesn't matter as long as it's just the length worth and height

I, sometimes do length x width, then use the answer for that and multiply it by the height (So that I can break it down)

HELP MEEEEEEEEEEEEEEEEEE

Answers

11.5 ft2 I’m pretty sure lol

Which equations are correct? Select each correct answer.
6a5(6a5)=36a25
6b4(−3b4)=−18b8
5x4(4x2)=20x6
3z7(4z2)=12z9

Answers

Answer:  

2, 3, 4,

Step-by-step explanation:

I took the k12 quiz and i remeber putting these as my answer.

Hope this helps!

What is the solution to the system below? x + 5y = 4
x - 5y = -16

(6,-2)
(2,-6)
(-6,2)
(-2,6)​

Answers

Answer:

(-6,2) third option is correct

Step-by-step explanation:

x+5y=4    equation1

x-5y=-16   equation 2

by adding both equations we got

2x=-12

x=-6

now put x=-6 in any of the equation to get y...

-6+5y=4  equation 1      

5y=4+6

5y=10

y=10/5

y=2

(-6,2)

Answer:

(-6, 2)

Step-by-step explanation:

Put (-6, 2) into eq1 and eq2

1. (-6) +5(2)= -6 +10 =4  

2.(-6) - 5(2)= -6-10 = -16

only one that works is (-6, 2)


Gerald deposited $950 into two different accounts.
- He deposited $450 into an account that pays 4.5% interest compounded annually.
- He deposited $500 into an account that pays 4.25% simple interest.
If Gerald does not deposit additional money into the accounts and he doesn't withdraw any money from the accounts, which is closest to the amount of interest he will have earned in these accounts at the end of 4 years?

A. $1,121.63

B.$177.20

C.$171.63

D.$1,116.00


Answers

Answer:

C

Step-by-step explanation:

The interest is 166.52.

im highly confused /////

Answers

the correct answer is cos 45 because it’s .5 :)

Bob has two bags of coins.
The first bag has 3 nickels and 5
quarters. The second bag has 6
nickels and 2 quarters. Bob will
randomly select 1 coin from each
bag. What is the probability that
Bob will select a quarter from
each bag?


PLEASE HELP MEEEE

Answers

Answer: 40%

Step-by-step explanation: Get nae naed

PLSS HELP!! NO LINKS!!

The graph below represents results of a survey in which students stated the number
of minutes they'd spent watching TV the previous day.



What was the least amount of time a student in this class could have spent watching tv that day?

Answers

0-29 minutes because it is the lowest number on the graph.

The required least amount of time a student in the class could have spent watching tv that day is 0-29 minutes

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
in the bar graph, represents the results of a survey in which students stated the number of minutes they'd spent watching TV the previous day.

The least amount of time is shown by the first bar and which is 0-29 minutes.

Thus, the required least amount of time a student in the class could have spent watching tv that day is 0-29 minutes

Learn more about graphs here:

brainly.com/question/16608196

#SPJ2

find the inverse y=-1+1/5x pleaseee help

Answers

Answer:

there is no inverse

Step-by-step explanation:

to find the inverse you gotta interchange the variables and solve for y but it is 0 sooo there is no inverse, i believe.

Tim washed 15 cars in 3hours.how many cars can he wash In 7 hours?​

Answers

Answer:

35 cars

Step-by-step explanation: ok so here is how you do it you divide 15 and 3 to find out how much cars Tim washed in one hour so in this case we got 5 then we multiply the hours by 7 and we get 35 cars

Answer:

I believe the answer is 35.

Step-by-step explanation:

15+15=30

30+5=45

1 hour = 5 cars

3 hours = 15 cars

6 hours = 30 cars

7 hours = 35 cars

15 divided by 3 = 1

so yeah hope this helps you.

find the rate of change on the table

Answers

Answer:

51

Step-by-step explanation:

Evaluate 6ab when a=1/2
and b = 7.

Answers

Answer:

21

Step-by-step explanation:

6 x 1/2 = 3

3 x 7 = 21

Help asap, need help on this math problem. Solve for x

Answers

Answer:

c. 25

Step-by-step explanation:

According to the intersecting chords theorem, the product of the segments of a chord equals the product of the segments of the other chord it intercepts.

Thus:

3*x = 5*15

3x = 75

x = 75/3

x = 25

what is the best interpretation of the y intercept of the line . question 5

Answers

Answer:

Last one

A student‘s test score is likely to increase about 20 points for each hour of studying

Step-by-step explanation:

We can see that the indepedent value is hours spent studying and dependent value is test scores.

As the hours of studying get greater, so does the test scores. So it has to be either the second to last or last one.

If you pay attention to the numbers, you’d see that the last one would be the answer.

Answer:

last one

Step-by-step explanation:

each hour spent studying increases the by around 20 points. the slope of the line is 20.

btw there's nothing on the intercept in the question

look at picture attack

Answers

Answer:

its 6.1

Step-by-step explanation:

so we use this formula to find it 950=4/3×3.14×r^3

Answer:

b. Radius is 6.1cm.

Step-by-step explanation:

R=(3xV/4π)^⅓

R=(3x950/4π)^⅓≈6.09834

R= 6.1cm

The price of television is P15,000 less than the twice the price of old model.If it cost P29,078.00 to buy a new television.What is the price of the old model?

Answers

Answer:

P22039

Step-by-step explanation:

Cost of new television = 29078

Let the price of old model television = x

2x - 15000 = 29078

2x = 29078 + 15000

2x = 44078

2x/2 = 44078 /2

x = 22039

Hence, price of old model television is P22039

Which of the following is the concept illustrated with the misentered​ data? A. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is less robust. B. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is more robust. C. The procedure for constructing the confidence interval is not robust. The smaller the sample​ size, the less resistant the mean.​ Therefore, the confidence interval is more robust.

Answers

Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is more robust.

Step-by-step explanation:

Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.

Which of the following phrases are equations?
Choose 2 answers:
Choose 2 answers:

(Choice A)
A
4x^34x
3
4, x, cubed

(Choice B)
B
b=9b=9b, equals, 9

(Choice C)
C
7+19=26\text{}7+19=267, plus, 19, equals, 26, start text, end text

(Choice D)
D
a+9>72a+9>72a, plus, 9, is greater than, 72

(Choice E)
E
x+y-\dfrac83x+y−
3
8

Answers

C is the answer I think if it’s not I’m sorry

Answer:

c b

Step-by-step explanation:

khan

Help please not sure what it can be!

Answers

Answer:

y=40x-30

Step-by-step explanation:

match each division expression with the correct quotient ​

Answers

Answer:

2) 2x + 6

3) 8x - 2

4) 5x - 8

Step-by-step explanation:

The quotient of expression (18x²+15x) divided by 3x is 6x+5.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

A quotient is a quantity produced by the division of two expressions.

Here,

A) (18x²+15x)÷3x

Now, 3x(6x+5)/3x

= 6x+5

B) (16x²+48x)/8x

= 8x(2x+6)8x

= (2x+6)

C) (56x²-14x)/7x

= 7x(8x-2)/7x

= 8x-2

D) (20x²-32x)/4x

= 4x(5x-8)/4x

= 5x-8

Therefore, the quotient of expression (20x²-32x) divided by 4x is 5x-8.

Learn more about the quotient here:

https://brainly.com/question/16134410.

#SPJ2

Determine the intercepts of the line

Answers

Answer:

x-intercept (3;3)

y-intercept (0;-10)

If j is 7 times larger than 6 what is j

Answers

Answer:

42

Step-by-step explanation:

6 x 7 = 42

Help Me! Will give brainliest. Hurry UP!

11-2m-[n+5+-m-3n+8
Simplify!
Awnsers:
m - 2n - 2
-m + 2n - 2
-3m - 4n + 14
3m - 4n + 14

Answers

The answer is:
-m+2n-2

Explanation:
11-2m-(n+5-m-3n+8)
11-2m-n-5+m+3n-8
11-5-8-2m+m+3n-n
-2-m+2n
-m+2n-2

Step-by-step explanation:

11-5-8-2m+m-n+3n

= -2-m+2n Answer

just change in order otherwise answer is correct you can correct....

Which of the following number cannot represent the 3 sides of a triangle?

{14,28,39}
{4,16,19}
{4,11,13}
{5,16,21}

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

d  5,16,21 Am sure I think

Step-by-step explanation:

Answer:

{5,16,21}

Step-by-step explanation:

sides of triangle: the sum of every two sides must be greater than the third sides.

{14,28,39}

=> 14 + 28 > 39, 14 + 39 > 28, 28 + 39 > 14  (correct)

{4,16,19}

=> 4 + 16 > 19, 4 + 19 > 16, 16 + 19 > 4 (correct)

{4,11,13}

=> 4 + 11 > 13, 4 + 13 > 11, 11 + 13, > 4 (correct)

{5,16,21}

5 + 16 not > 21 (wrong)

Help me please answer thanks

Answers

Answer:

8, 2

Step-by-step explanation:

8 * 2 = 16

8 + 2 = 10

hello please help thanks

Answers

Answer:

It’s the first one, precipitation
Hope this helps!

Answer: Its C. Its a gas because it evaporated.

Step-by-step explanation:

Two names for the angle formed by the dashed rays are? (I have to put down 3 letters)

Answers

Answer:

ZGK and DGS

Step-by-step explanation:

20*20= 75 True or False

Answers

20x20=400__________________________________________________:)

Answer:

False

Step-by-step explanation:

LHS : -

20 x 20

= 400

is not equal to RHS.

help ! do you know the answer to this?

Answers

Answer:

Step-by-step explanation:

9t = 9                We can't see the entire image, but I assume 9 and the number of ts are of the same length. If this assumption is incorrect, please leave a note.

A sheet of paper has a perimeter of 39 inches. If the width of the paper is 8.5
inches, what is the length of the sheet of paper?

Answers

Answer:

length of the sheet of paper is 11 in.

Step-by-step explanation:

Let "a" = short end of paper and let "b" = long end of paper.

Let "p" = perimeter

 

1st equation:   p = 39"

2nd equation:  2a + 2b = p   plug in "39" for diameter;  result:

2nd equation:  2a + 2b = 39

3rd equation:  b = 2a - 6

 

replace "b" in 2nd equation with "2a - 6" from 3rd equation, result:

2a + 2(2a - 6) = 39  simplified to:

2a + 4a - 12 = 39    simplified to:

6a - 12 = 39            simplified to:

6a = 51                   simplified to:

a = 51/6  =  8.5

so, a =  short end of paper = 8.5 inches

 

In 3rd equation (b = 2a - 6), substitute "a" with "8.5"

3rd equation becomes:   b = 2(8.5) - 6    simplified to:

b = 17 - 6  =  11

so, b = long end of paper = 11 inches

 

answer to question is:  dimensions of paper are ---

8.5 inches wide by 11 inches long

Answer:

The answer is 11

Step-by-step explanation:

So perimeter is base+ base+length+length. Therefore you take 8.5+8.5 which is 17 and subtract it from 39 to get 22. You take 22 and divide it by 2 which leaves you with 11.

Other Questions
Which side lengths will NOT form a triangle? *8.5 in., 12.5 in., 16 in.5.5 in., 7.5 in., 13 in.6 in., 8 in., 8 in.11 in., 10 in., 9 in. Were knights higher or lower in feudal society than lords? Please answer correctly!! Ill mark as brainliest! No links no fake answers In at least 7 sentences, describe what abstract art is, in your own words. Then you need to find an example of abstract art, copy the image into your answer and tell me what you see in the painting.(if u cant do that then just tell me what you think about it)will gie brainlist!!!!!! How does the amount of oil reserves held by the Middle East compare to that of the rest of the world, based on this graph? list 3 ethics of Social work plz answer! i need help soo bad A 3.9 kg object is on top of a shelf that is 1.5 meters high. The object falls at a velocity of 9.2 m/s. Calculate the kinetic energy of the falling object HELP!!!!!! 50PTS!!!!Which of the following is a result of artificial selection? (4 points)Animals with beneficial traits in a given environment survive.Beneficial traits are selected based on the environment.Individuals with beneficial adaptations reproduce more and pass traits on to offspring.Crops and livestock animals bear little resemblance to wild ancestors. What is the formula for pH? The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges 1 for the first time they service your lawn, and the price will multiply by a factor of 0.90 every week thereafter. Green Thumbs charges 400 for the first time they service your lawn, and then charges an additional 45 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save? Math.... Can you help 1. What do you understand by the resolution or resolving power of a lens? what is the suffix in sensations I need help on the pcture 4. What technology developed during the Cold War was also used by the Americans and the Soviet Union to put a man into orbit during the Space Race?a. Heavy armor technology would be used by both the Soviet Union and the United States as they raced for supremacy of outer space.b. Medical technology developed to keep men from suffering from illness discovered during World War I would prove useful during the Space Race.c. Submarine technology that allowed for deep sea breathing that was developed during World War II would be adapted and applied for use in the Space Race.d. Jet engine technology that would create the thrust needed to get beyond Earths gravity would be used by these superpowers in the Space Race. I NEED HELPNaval units of the Communist regime in Vietnam . . . have deliberately and repeatedly attacked United States naval vessels lawfully present in international waters, and have thereby created a serious threat to international peace. . . .. . . These attacks are part of a deliberate and systematic campaign of aggression that the Communist regime in North Vietnam has been waging against its neighbors and the nations joined with them in the collective defense of their freedom. . . .Resolved . . . that the Congress approves and supports the determination of the President, as Commander in Chief, to take all necessary measures to repel any armed attack against the forces of the United States and to prevent further aggression. . . .. . . The United States is, therefore, prepared, as the President determines, to take all necessary steps, including the use of armed force, to assist any member or protocol state of the Southeast Asia Collective Defense Treaty requesting assistance in defense of its freedom. Gulf of Tonkin Resolution (1964)How did Congress justify the use of American armed forces to assist the South Vietnamese? Check all that apply.The North Vietnamese have attacked US naval vessels.The use of armed forces will likely prevent more aggression from the North.The actions of the North Vietnamese are a threat to international peace.The South Vietnamese do not have adequate defense systems.The spread of communism is quickening due to the success of the North Vietnamese attacks. To stay healthy, Emily decided to walk for 4 5mile every day. She walked 2 5mile to work and walked 1 4mile at lunchtime. How much more does she need to walk after dinner if she wants to meet her target distance? I will give Brainliest!!! Does anyone know what is on the Critical Thinking DBA? I have it soon and just want to be prepared. Plz answer correctly and pls no scams