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.

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Related Questions

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.

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

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

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....

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

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.

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.

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


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.

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:

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.

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:

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im highly confused /////

Answers

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

If j is 7 times larger than 6 what is j

Answers

Answer:

42

Step-by-step explanation:

6 x 7 = 42

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:

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!

HELP MEEEEEEEEEEEEEEEEEE

Answers

11.5 ft2 I’m pretty sure lol

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

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 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)

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:

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Help me please answer thanks

Answers

Answer:

8, 2

Step-by-step explanation:

8 * 2 = 16

8 + 2 = 10

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 please not sure what it can be!

Answers

Answer:

y=40x-30

Step-by-step explanation:

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)

find the rate of change on the table

Answers

Answer:

51

Step-by-step explanation:

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

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

Determine the intercepts of the line

Answers

Answer:

x-intercept (3;3)

y-intercept (0;-10)

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