vertical asymptote of f(x) = 3x-18 over 2x + 1

Answers

Answer 1

Answer:

We know that the formula to get the equation of a rational function is:

y = a * (factors of x intercepts) / (factor of vertical asymptote)

We are given the equation:

y = (3x - 18) / (2x + 1)

from the formula, we know that the value in the denominator is the factor of the vertical asymptote

So, we can write that:

2x + 1 = 0              [where x is the vertical asymptote]

x = -1/2

Therefore, the vertical asymptote of the given equation is -1/2


Related Questions

Recidivism occurs when a person continues to commit criminal behavior even after having been punished. A prison official wants to estimate the proportion of cases of recidivism. Examining the records of 250 convicts, the official determines that there are 65 cases of recidivism. Construct a 99% confidence interval for the proportion of cases of recidivism.A. (0.331, 0.567)B. (0.188, 0.332)D. (0.289, 0.431)E. (0.069, 0.111)

Answers

Answer:

Option (C)  [0.2574 , 0.2626]

Step-by-step explanation:

Of 250 convicts, there are 65 cases of recidivism.

- Construct a 99% confidence interval for the proportion of cases of recidivism.

This calls for first finding the proportion of cases of recidivism. This will be 65/250  = 0.26

You are 100% confident that the proportion of cases of recidivism is 0.26

You will be 99% confident that the recidivism cases are between:

99% of 0.26  = 0.2574

1% of 0.26  = 0.0026

[0.26 - 0.0026] , [0.26 + 0.0026]  = [0.2574 , 0.2626]

This should be OPTION C, as that option is missing in the list of options.

What is the solution to x-8>-3

Answers

Answer:x>5

Step-by-step explanation:

The correct answer is x=5

Here is the soulution:

Add 8 to both sides of the equation. x = −3 + 8

Add −3 and 8.

That equals x = 5.

0.52 0.25 0.75 0.620 0.062 from smallest to largest

Answers

0.062, 0.25, 0.52, 0.620, 0.75

Answer:

0.062; 0.25; 0.52; 0.620; 0.75

Which best describes a polynomial?

Answers

Answer:

an algebraic expression containing one or more terms

Step-by-step explanation:

Check all apply 2x+2-9=5

Answers

Answer:

x=6

Step-by-step explanation:

2x=12 simplify and subtract

x=6

Can u guys please help me and explain ur answer ❤️

Answers

Answer: Slope is -2/3

Step-by-step explanation:

Formula: y2 - y1/x2 - x1 =  m

Points (You can choose any two points, but I'll choose these): (1,8) and (4,6)

Explanation Steps:

y2 - y1/x2 - x1 =  m

6 - 8/4 - 1 = m

-2/3 = m

Slope is -2/3

Jordin’s savings account balance is greater than 2 $27. Use absolute value to describe the balance as a debt. Jordin’s balance is a debt of ____ than 27$

Answers

Answer:

i don't have a idea

Step-by-step explanation:

Anya is saving her allowance to purchase a bike.Anya started her savings with $10 and is saving $5 per week.Let y represent the total amount Anya has saved and x represent the number of weeks Anya has been saving.

Answers

Answer:

y = 10 + 5x

Step-by-step explanation:

The question seem incomplete as the question requirement is not stated.

However, I'll solve for the equation and also plot the graph that illustrates the equation.

From the question, we have the following.

Base Amount = 10

Additional = 5 (weekly)

Let y represents her savings at any given weeks and x represents the number of weeks

y is calculated using

y = Base Amount + Additional * weeks

y = 10 + 5 * x

y = 10 + 5x

Next, it to plot the graph.

Take x = 0

y = 10 + 5 * 0

y = 10 + 0

y = 10

Take x = 3

y = 10 + 5 * 3

y = 10 + 15

y = 25

So, the graph must pass through

(0,10) and (3,25)

See attachment for graph.

The equation is y = 10 + 5x

Given that,

Anya started her savings with $10 and is saving $5 per week.Let y represent the total amount Anya has saved and x represent the number of weeks

Calculation:

y = Base Amount + Additional ( weeks)

y = 10 + 5 (x)

y = 10 + 5x

learn more about the equation here: https://brainly.com/question/10821476

A high school marching band has 12 flute players. If 8% of the band members play the flute, then how many members are in the entire band?​

Answers

Answer:

It is 150 players

Step-by-step explanation:

You just cross multiply and divide.

8. 12

---- = -----

100. x

12×100 = 1,200

1,200 ÷ 8 = 150

Hope this helps!

The $199.99 camera Anne purchased was on sale for 25% off. What amount did Anne get off the price rounded to the nearest dollar?

Answers

Answer:

50 dollars

Step-by-step explanation:

199.99 x .25

Answer:

the answer is 50 dollars

10 lbs to 6 lbs need percentage
please give step by step

Answers

Answer:

10ibs=1000%   6ibs=600%

Step-by-step explanation:

It’s very easy just use the internet

Combine Like Terms

7x^4 - 5x^4=

PLEASE HURRY WILL MARK BRAINLEST!!!!!!!

Answers

Answer:

2x^4

Step-by-step explanation:

what is y^2+2xy/2xy I don't know how to work it out. can somebody help please?

Answers

Answer:

Let's simplify step-by-step.

y2+(

2xy

2

x)(y)

=y2+x2y2

Answer:

=x2y2+y2

Step-by-step explanation:

Write the expression in simplest form.
(-11/2 x + 3) -2(-11/4x-5/2)

Answers

Answer:

8

Step-by-step explanation:

(-11/2x +3) -2(-11/4x -5/2)

(-11/2x +3) +22/4x +10/2

-11/2x +3 +11/2x +5

8

Evaluate the expressions using the distributive property. ⅔(-7) + ⅔(-5)

Answers

-8
2/3(-21/3) + 2/3(-15/3)
-42/9 + -30/9
-72/9 = -8

What is the ones digit of 5120 + 2301 + 456?

Answers

Answer:

7

Step-by-step explanation:

Easier than you think. You do not have to add the numbers together to find your answer. You can just add 0+1+6, and you will get 7.

Answer:

7

Step-by-step explanation:

5120+2301=7421

7421+456=7877

Last # is 7

Pls answer professionally or with the right answer I’m beg you

Answers

1) y=106 x=106 2) z=68 y=112 x=112

Answer:

Step-by-step explanation:

Hello friend!!!

here's ur answer

1) <y = 180 - 74 = 106° ( linear pair )

<x = <y ( alternate angles )

therefore, <x = <y = 106°

2) <x = 68° ( corresponding angles )

<y = 180 - 68 = 112° ( linear pair )

<z = 112° ( vertically opposite angles )

Hope this helps

plz mark as brainliest!!!!!

explain why the oppisite of a positive number will always be a negitive number​

Answers

Answer:

because a positive is over zero and a negative is below zero so from that you can tell that the opposite of any positive will be a negative.

Step-by-step explanation:

The opposite of positive numbers are negative. There are numbers on the right and left side on the number line of zero.

I typed in a detailed "essay" of this but it didn't save. I even put in an example...

Evaluate the expression 9x for x= 2.
9x = when x = 2.
(Simplify your answer.)

Answers

Plug in 2 for x so 9x when x=2 is 9(2) nine times two is
18

The time taken by artisans A. B and C to do an
embroidery job is 15 hours, 18 hours, and 15 hours.
respectively. A, B, and C begin working together but
after 3 hours B is put on another job. How long will A
and C take to finish the embroidery job?​

Answers

Answer:

3 hours 15mins

Step-by-step explanation:

in 1 hours time, A will complete 1/15 of the job, B will complete 1/18 and C 1/15.

After 3 hours, A completed 3/15 (aka 1/5) of the job, B 3/18 (aka 1/6) and C being the same as A.

total job done after 3 hrs is 1/5 + 1/6 + 1/5 which is 17/30 of the job

left: 13/30

in 1 hr, A and C will do 2/15 of the job (4/30)

therefore, no. of hours needed: 13/4 hours = 3.25 hours (3 hours 15mins)

Help plzz Math honors algebra

Answers

The answer to the problem is N=6

Answer: n = 6. Hopefully this helps!

helppppp please will give brainlist ​

Answers

Answer:

D or answer 4                   y=-5/2x+7

Step-by-step explanation:

Well we can first start of by finding the y-intercept.

Note that when x=0, you can find your y-intercept.

Knowing this, and looking at the table, 7 is the y-intercept because when y=7, x=0.

So we can eliminate choices 'a' and 'c,' or answers 1 and 3, because they have the y-intercept as -7, when it's just 7.

Please know that in the equation:

y = mx + b

y = y-coordinate or any given point

mx = slope

b = y-intercept

Now we must find slope

To find the slope we need to do:

(y2 - y1) / (x2 - x1) or rise/run

The two coordinates I choose to use is (0, 7) and (6, -8).

(-8 - 7) / (6 - 0) = -5/2

-5/2 is the slope

Finally, look for an equation that has 7 as the y-intercept and -5/2 as the slope.

Answer: D or answer 4

which statement about 3/4 multiplied by 16/5 is true?

A. The product is greater than 5
B. The product is less than 3/4
C. The product is between 3/4 and 16/5
D. The product is between 16/5 and 5

Answers

Answer:

Option c

Step-by-step explanation:

3/4 multiplied by 16/5

3/4×16/5

12/5

Option c is correct

The product between 3/4 and 16/5

List what you are thankful for! (It's Thanksgiving! Answer if you bake! Or if you like cakes pies cookies and treats!!! )

Answers

Answer:

I'm thankful for everything :3

I do not know how to bake but I love cookies UvU

Step-by-step explanation:

Answer:

My family!

Step-by-step explanation:

I am baking cheesecake

Unit test Select two ratios that are equivalent to 2 : 12. Choose 2 answers: A 6:40 B 12:2 C 3:24 D 1:6 E 8:48​

Answers

D & E

D) if you divide the ratios by 2 you get 1:6
E) if you multiply each ratio by 4 you get 8:48

You can’t divide or multiply any of the other numbers with 2 and 12 (together) to get you the other answers

The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.

Rule C gives the monthly cost, in dollars, of using gigabytes of data on Company C’s plan. Rule D gives the monthly cost, in dollars, of using gigabytes of data on Company D’s plan.
A. Which is less, C(4)or D(4)? What does this mean for the two phone plans?
B. Which is less, C(5)or D(5)? Explain how you know.

Answers

ANSWER-

C(g) = 10 + 15g

C'(g) = 80

The monthly charges of Company C for using 2 Gigabyte of data usage.

Step-by-step explanation:

The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.

Now, the monthly cost in Company C for using g gigabyte of data will be  

C(g) = 10 + 15g ........ (1)

Again, the monthly cost in Company D for using g gigabyte of data will be  

C'(g) = 80 ......... (2)

Now, from equation (1), the statement C(2) = 10 + 15 × 2 = 40, means that monthly charges of Company C for using 2 Gigabyte of data usage. (Answer)

Please answer this correctly without making mistakes

Answers

Answer:

Its too low

Step-by-step explanation:

plz mark brainliestʕ•ᴥ•ʔ

1.2, 1.05, 1.5, 1.005
In order from smallest to largest

Answers

1.005, 1.05, 1.2. 1.5

Answer:

1.005, 1.05, 1.2, 1.5

Step-by-step explanation:

think of it as:

1.200

1.050

1.500

1.005

then we can see that from least to greatest, it is: 1.005, 1.05, 1.2, 1.5

Help plzzzz will give brainliest

Answers

Answer:

It's positive.

Step-by-step explanation:

There are many reasons.... but one of the obvious ones is that it would've shown negative, correct?

It’s positive. Both the x and y axis continue to go up

Answer this please thanks

Answers

Answer:

No

Step-by-step explanation:

The first 3 boxes are proportional since they have a ratio of 1:3, but 6:21 is not proportional to the others.

Answer:

No it is not proportional.

Step-by-step explanation:

This is not proportional because

2 times 3 = 6

4 times 3 = 12

8 times 3 =  24

but,

6 times 3 = 18 not 21 so it is not proportional.

Hope this helped! Ask me any questions if needed!

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What is the point estimate, \hat{p}, of this sample? If a person Travels 100 metre due east and then returns to the same place his total displacement is 200. (needed ASAP) A. True B. False