17. Write a rational function in expanded form that satisfies the
following criteria:
• V.A. x=2
• SI.A y =5x-1
• Zero of function (-1,0)

pls help thank you<3

Answers

Answer 1

Answer:

[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]

Step-by-step explanation:

Given

VA; [tex]x = 2[/tex]

SLA: [tex]y = 5x - 1[/tex]

Zero of function: [tex](-1,0)[/tex]

Required

Determine the rational function in expanded form

Analyzing the vertical asymptote

The vertical asymptote is given as:

[tex]x = 2[/tex]

Subtract 2 from both sides

[tex]x - 2 = 2 - 2[/tex]

[tex]x - 2 = 0[/tex]

This means that the denominator must be [tex]x - 2[/tex]

Analyzing the zero of the function

The zero of the function is given as: [tex](-1,0)[/tex]

This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]

Equate [tex]x = -1[/tex] to 0 by add 1 to both sides

[tex]x + 1 =- 1 + 1[/tex]

[tex]x + 1 =0[/tex]

This means that one of the numerators must be [tex]x + 1[/tex]

Analyzing the slant asymptote:

[tex]y = 5x - 1[/tex]

This means that one of the numerators must be [tex]5x - 1[/tex]

Hence, the function is:

[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]

Expand the numerator

[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]

[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]


Related Questions

What is the area of a rectangle with a length of 3 ft and a width of 16.1 ft? 48.3 ft2 38.2 ft2 24.15 ft2 19.1 ft2

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Vent fmtsmstjqrjatjwtnatnatn

Pls help. I don't know how to do this and pls don't answer if you don't know the answer.

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Answer:

m = 3 5/18

All you need to do is rewrite the equation as 8 1/9- 4 5/6

PLEASE HELP I HAVE A TIME LIMIT I WILL GIVE BRAINLIEST AND 5 STARS show your work rex mixed x liters of fruit syrup with y liters of water to make fruit punch three times the number of liters of water he used is equal to 6 more than twice the number of liters of fruit syrup he used the total number of liters of syrup and water he mixed was 7 liters what is the number of liters of fruit syrup and water that rex added to make the fruit punch ​

Answers

graph of lines 3 y equals 2x plus 11 and y equals minus x plus 7. Lines intersect at ordered pair 2, 5

graph of lines 3 y equals 2 x minus 4 and y equals minus x plus 7. Lines intersect at ordered pair 5, 2

graph of lines 3 y equals 2 x plus 6 and y equals minus x plus 7. Lines intersect at ordered pair 3, 4

graph of lines 3y equals 2x plus 1 and y equals minus x plus 7. Lines intersect at ordered pair 4, 3

I don't know if it's right tho :C

Answer:

The amount of fruit syrup Rex added is: 3 liters

and the amount of water he added is: 4 liters.

Step-by-step explanation:

3y = 2x + 6

x + y = 7

y = 7 - x

3(7 - x) = 2x + 6

21 - 3x = 2x + 6

21 - 6 = 2x + 3x

15 = 5x

15/5 = x

3 = x

x + y = 7

3 + y = 7

y = 7 - 3

y = 4

Solution is (3,4)

Sharon correctly answered 21 out of 24 questions on a math quiz. Which is this ratio as a decimal?
0.625

0.667

0.840

0.875



pls help♡​

Answers

Answer:

0.875

Step-by-step explanation:

To find the decimal, you divide the 21 by the 24.

21/24 = 0.875

An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Consider the trinomial 6x2 + 13x + 6. The value of ac is . The value of b is . The two numbers that have a product of ac and a sum of b are 4 and .

Answers

Answer:

1. ac = 36

2. b = 13

3. 4 and 9

Step-by-step explanation:

Given

6x² + 13x + 6

Required

Fill in the gaps

Solving (1): The value of AC

The general form of an equation is:

ax² + bx + c

By comparison:

a = 6

b = 13

c = 6

So,

ac = a * c

ac = 6 * 6

ac = 36

Solving (2): The value of b

In (1) above, we showed that

b = 13

Solving (3): Two numbers that satisfy product ac and sum b

We have that.

ac = 36

If one of the numbers is 4, then the other number is

Other number = 36/4

Other number = 9

Alternatively, we have that.

b = 13

If one of the numbers is 4, then the other number would be:

Other number = 13 - 4

Other number = 9

Answer:

ac = 36

b = 13

The two numbers that have a product of ac and a sum of b are 4 and 9

Step-by-step explanation:

Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20% chance of winning. How many tickets were sold? P (Luna winning) = StartFraction Number of tickets purchased over Total number of tickets sold EndFraction. 20 percent = StartFraction 20 over x EndFraction. One-fifth = StartFraction 20 over x EndFraction. x = tickets

Answers

Answer:

100 tickets

Step-by-step explanation:

Probability of winning = amount of tickets purchased/Total number of tickets

20% = 20/total number of tickets

20/100 = 20/total number of tickets

cross multiply

20 * total number of tickets = 20 * 100

20 *  total number of tickets = 100

total number of tickets sold = 100 tickets

Answer:

100 tickets

Step-by-step explanation:

Hi and goodbye

what is the slope of y= -1/6x - 3/2

Answers

Answer:

-1/6

Step-by-step explanation:

Answer: -1/6

Step-by-step explanation:

Use the slope-intercept form  y=mx + b to find slope m

please help and answer this question

Answers

Answer:

-2x+9

This is the answer you are looking for

YOUR WELCOME! :D

-6n-4n please help because I have an improvement test

Answers

Answer:

-10n

Step-by-step explanation:

-6n-4n=-10

Hello,

Explain: -6n - 4n

Step-by-step:

Collect like terms and calculate the coefficients

(-6 - 4)n

Calculate the difference

10n

Explain: Solved using the variables by collecting terms and there coefficients. Then calculated the difference.

ANSWER: 10n

Hope this helps!


standard form for y=mx+b​

Answers

Answer:

that's standard form for slope

Step-by-step explanation:

have a nice day :)

use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.

Answers

Answer:

18. AE = 6

19. BG = 6

20. CF = 5

21. GF = 2

22. CE = 3

23. AC = 3·√5

24. A_F = 10

25. DA = 3·(√5 - 1)

Step-by-step explanation:

Whereby the point C is the center of the circle, we have;

CB = CG = CE = 3 = The radius of the circle with center at C

CE = 3

CF = √(4² + 3²) = 5 by Pythagoras' theorem

CF = 5

GF = CF - CG = 5 - 3 = 2

GF = 2

BG = CB + CG = 3 + 3 = 6

BG = 6

Whereby, BC is a tangent to the circle with center, C, we have;

A_F = √(8² + 6²) = 10 by Pythagoras' theorem

A_F = 10

AE = A_F - EF = 10 - 4 = 6

AE = 6

AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem

AC = 3·√5

DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)

DA = 3·(√5 - 1).

PLEASE HELP! 5TH GRADE MATH! Select the best estimate of the product of Select the best estimate of the product of 52 x 89 = ____

Answers

Answer:

400

Step-by-step explanation:

50x80=400, you just ignore the ones digits so its easy to solve. (5x8x100)

Sarah’s job at a cellphone store pays 6% commission on the sales she makes. She also makes $1400 base pay. What will Sarah’s total paycheck be if she had $4000 in sales?

Answers

Answer:

255

Step-by-step explanation:

What's 4/5 as a percentage?

Answers

Answer:

80%

Step-by-step explanation:

% is out of 100 so make the denominator of 4/5 to be 100:

4/5 times 20/20 = 80/100 = 80%

Answer:

80%

Step-by-step explanation:

4 divided by 5 equal .8

.8 x 100 equals 80

It's multiplied by 100 because usually percentages are out of 100.

OR

You can move the decimal in .8 to 2 space to the right

gas is 2.09 per gallon if nate filled up his car and spent 33.44 how many gallons did he put in his car

Answers

33.44/2.09 = 16
He puts 16 gallons

Answer:

16 gallons

Step-by-step explanation:

33.44 divided by 2.09 is 16, so he put 16 gallons in his car.

b -2 = 9/b-2
Answer ?

Answers

Step-by-step explanation:

I don't know if it's correct

b-2=9/b-2 (b isn’t equal of 0)
b=9/b-2+2
b=9/b
b^2=9
b=3 or b=-3

Eliot needs to replace a window that is in the shape of a
semicircle.
K 1.5 ft
>
What is the area of the window? Use 3.14 for 1. Round your
answer to the nearest hundredth of a square foot.

Answers

353.25

a=(3.14*15^2)/2

a=706.5/2

a=353 sq in

I need help it khan 4q+3+2q-1​

Answers

Answer: 6q +  2

Step-by-step explanation:

Hector has 10 cups of flour. Which equation shows how to determine the number of Two-fifths of a cup servings there are in the 10 cups of flour?

Answers

Answer:

10 divided by two fifths = 25

Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an installation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job.

Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?

A.
170.25 − 3.78x = 586.05
B.
170.25 + 3.78x = 586.05
C.
170.25x + 3.78 = 586.05
D.
170.25x − 3.78 = 586.05

Answers

Answer: $170.25 + $3.78x = $586.05

Step-by-step explanation:

PLZ HELP ITS URGENT!!! Which of the following represents the value of the series below? Also maybe if possible, could you please add an explanation?

Answers

Answer:

first one

Step-by-step explanation:

the sum of (9k-4) =3542

so it will be the first one because

28((5+248)/2)=3542

Answer:

a

Step-by-step explanation:

cuz i milk da cows homie, all fo my edge brothas, no cap on jaw, j keepin it real fo yall homies

In a shopping district with a variety of stores, 9 of the stores sell jewelry. The jewelry stores make up only 3% of the shopping district. How many stores are in the shopping district?

Answers

Answer:

When I did this in middle school, the teacher made it unnecessarily difficult     (-_-), so here`s my own method for you.

Finding 1%:

If 9 is 3%, then 3 is 1%. This method only works when the sides are divisible.

You can use the 1% to find the total, which is 100%.

3 stores (or 1%) x 100 = 300.

There are 300 stores in the shopping district.

Hope that helps

what is 3/4 divided by 1/2​

Answers

3/4 divided by 1/2 is 1.5 or 6/4.

Multiple Choice
What is the domain of the function below?

{(0, 2), (3, 1), (5,2), (8,4)}?

A. {1, 2, 4}
B. {0, 3, 5, 8}
C. {0, 1, 2, 3, 4, 5, 8}
D. {(0, 2), (3, 1), (5,2), (8,4)}

Answers

Domain is the x values.

The x values in the given function are: 0,3,5,8

The answer would be B. {0,3,5,8}

Is the following relation a function?

Answers

Answer:

yes

Step-by-step explanation:

A function is any graph that the x values do not repeat.

You can check this by using this vertical line test

Run your finger or a pencil down a specific vertical (top to bottom) line on the graph, if you can see that it intersects into the graph more than once, then it's not a function.

What’s the answer ? Im too tired fa this shi

Answers

Answer:

90-39=51 thats a 90° angle

7.5d = 2.5d Lin divided each side by 2.5d and Elena subtracted 2.5d from each side with both leads to the solution

Answers

Answer:

Elena's move will lead to the solution of the problem

Step-by-step explanation:

To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning

Given:

7.5d = 2.5d

Lin divides each side by 2.5d, Lin:

7.5d / 2.5d = 2.5d / 2.5d

3 = 1

This can not be the solution to the problem because 3 can not be Equal to 1

Elena subtracts 2.5d from each side

7.5d = 2.5d

7.5d - 2.5d = 2.5d - 2.5d

5d = 0

This can lead to the solution of the problem

Elena's move will lead to the solution of the problem

find the value for x!

Answers

Answer:

x=20

Step-by-step explanation:

3x+15=4x-5

20=x

What is the x intercept of the graph of 3x-y+6=0

Answers

Answer: It would be 2,0 :) Please tell me if I'm wrong

Step-by-step explanation:

Whats the reciprocal for -4

Answers

Answer:

It is n-1. Does this help any or not?

Answer:

1/4

Step-by-step explanation:

so -4 is basically -4/1, you flip that and change the negative symbol to positive, making it 1/4.

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