Select all the lines below that are an asymptote to the rational function of f(x)= 2x+1/x-9. Picture attached, 15 points and I'll give Brainliest! Due in two hours.

Select All The Lines Below That Are An Asymptote To The Rational Function Of F(x)= 2x+1/x-9. Picture

Answers

Answer 1

Answer:

Solution : Option A and Option C

Step-by-step explanation:

To determine our vertical asymptote here we can make the denominator of the rational function equivalent to zero ...

x - 9 = 0,

x = 9 - this is our vertical asymptote

Now there are three rules that we need to apply when determining the horizontal asymptote. To do so we take the degree of each " x " term and compare the numerator and denominator degree.

If the numerator (degree) < denominator (degree), we take the degree of the numerator as the asymptote --- (1). If the numerator (degree) = denominator (degree) we take the coefficient of the x terms, and divide --- (2). If the numerator (degree) > denominator (degree) their will be no asymptote.

In this case our degree for the numerator is 1, (x¹) and our degree for the denominator is the same, 1 (x¹). Therefore we divide the coefficients, 2 / 1 = 2. Our horizontal asymptote is y = 2.


Related Questions

For all integer values of x and constant k, if (x+6)(x+k)=x^2+14x+48, what is the value of k?

Answers

Answer:

  8

Step-by-step explanation:

The product of terms on the left of the equal sign is ...

  (x+6)(x+k) = x^2 +(6+k)x +6k

So, you have two clues to the value of k. The coefficient of x must match, and the constant must match.

  6+k = 14   ⇒   k = 8

  6k = 48   ⇒   k = 8

The value of k is 8.

E={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16} A={x:x is a multiple of 3} B={x:x is a factor of 24} C={x:x is an odd number} (i) Find (a) n(B),

Answers

B={1,2,3,4,6,8,12,24}

n(B)=8

Answer:

[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{3 \:  ,  \: 6 \:  ,  \: 12}}}}}[/tex]

Step-by-step explanation:

Given,

E = { 1 , 2 , 3 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 }

Here, E is the universal set.

A = { x : x is a multiple of 3 }

Here, we have to list the multiples of 3 less than 16

A = { 3 , 6 , 9 , 12 , 15 }

B = { x : x is a factor of 24 }

Here, we have to list the factors of 24 less than 16 }

Factor of 24 means the numbers that can divide 24 easily.

Factor of 24 includes :

B = { 1 , 2 , 3 , 4 , 6 , 8 , 12 }

C = { x : x is an odd number }

Here, we have to list the odd numbers which are less than 16

C = { 1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 }

Finding A B

Here, We have to find the common elements that are present in both A and B

{ 3 , 6 , 9 , 12 , 15 } ∩ { 1 , 2 , 3 , 4 , 6 , 8 , 12 }

= { 3 , 6 , 12 }

Hope I helped!

Best regards!!

Example of a function and why?

Answers

Answer:

f(x) = x + 2

Step-by-step explanation:

If we graph x + 2, we can see that it passes the Vertical Line Test. Each x-value only has 1 y-value.

Which of the following is the correct formula for distance?(1 point) d=(x2−x1)+(y2−y1)−−−−−−−−−−−−−−−−−√, where d is the distance between points (x1,y1) and (x2,y2). d=(x2+x1)2+(y2+y1)2−−−−−−−−−−−−−−−−−−√, where d is the distance between points (x1,y1) and (x2,y2). d=(x2−x1)2+(y2−y1)2, where d is the distance between points (x1,y1) and (x2,y2). d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√, where d is the distance between points (x1,y1) and

Answers

Answer:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Which of the following is the set of all real number x such that x-2 < x-4?

Answers

If you subtract x from both sides, then you go from

x-2 < x-4

to

-2 < -4

which is a false statement. The value -2 is not smaller than -4. It's the other way around. I recommend looking at a number line to compare the two values.

This means that x-2 < x-4 is never true regardless of what x value you pick. So there are no solutions.

given:x+2<-5. choose the solution set.

Answers

Step-by-step explanation:

x+2<−5

Step 1: Subtract 2 from both sides.

x+2−2<−5−2

x<−7

Answer:

x<−7

4m-3/4= -9+4m/8 helppp

Answers

Answer:

m=−  33/14   =−2.357

Step-by-step explanation:

if you search up you question the first thing will come up is an answer from tiger algebra  is may not be you question but click on it is will take to to this search bar area clear it and put you question in it then it will give your answer and step by step explanation

Find the number of possible outcomes. Seven books need to be placed
on a shelf. You randomly arrange the books on the shelf from left to right.

Answers

Should be 5040 ways
Answer:
5040 possible outcomes.

Explanation:
There are 7 books, therefore you need to do 7! (factorial).
1x2x3x4x5x6x7 = 5040

please answer please!!!! Will mark brainliest for complete answer. -the first photo is to calculate the area. Just question number 7 a and b i). And question number 8.

Answers

Triangle:
Area = 1/2*b*h
= (1/2)*3*4
= 3*2
= 6 m^2


7a.
1cm^3
Or, 1cm * 1cm * 1cm
Or, 10mm * 10 mm * 10 mm
Or, 1000 mm^3

7b.i)
10 cm^3
Or, 10cm * 1cm* 1cm
Or, 100mm * 10mm * 10mm
Or, 10000 mm^3

8.)
Volume = 50 cm^3
Base area= 5 cm^2
Now,
Volume = area * height
Or, 50 = 5 * height
Or, height = 50/5
Or, height = 10 cm

Plz mark this as the brainiest. :)

X² + 9x + 4 = FACTORISE

Answers

Answer:

[tex]$-\frac{1}{4} (-2x-9+\sqrt{65})(2x+9+\sqrt{65})$[/tex]

Step-by-step explanation:

We have a second-degree polynomial:

I will find the roots (y = 0) completing the square:

[tex]$x^2+9x+\frac{81}{4}-\frac{81}{4}+4=0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 -\frac{81}{4} +4 =0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 -\frac{81}{4} +\frac{16}{4} =0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 -\frac{65}{4} =0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 =\frac{65}{4} $[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 =\pm \sqrt{\frac{65}{4} } $[/tex]

[tex]$x =-\frac{9}{2} \pm \frac{\sqrt{65} }{2} $[/tex]

[tex]$x =\frac{-9 \pm \sqrt{65} }{2} $[/tex]

[tex]$\boxed{x_1 =\frac{-9 + \sqrt{65} }{2}} $[/tex]

[tex]$\boxed{x_2 =\frac{-9 - \sqrt{65} }{2}} $[/tex]

Something that represent today’s culture ( sum that isn’t tech or social media)

Answers

It depends on which culture you're looking at to be honest. But in the current environment, one item that is fairly prevalent is the coronavirus facemask. You could say it symbolically represents the idea of trying to stay safe and it represents a new norm (that many may consider strange since people are used to seeing each other's faces).

+3х2+3x2

What is that answer simplified?

Answers

I think the answer will be 12

Which input value produces the same output value for the two functions on the graph? x = −1 x = 0 x = 3 x = 4

Answers

we know that
The intersection point of both graphs is a common point for both functions, for which for the same input value, both functions will have the same output value.
so
the point of intersection is
for an input value equal to
the output value for both functions is
therefore
the answer is the option
X= 4

Answer:

D. x=4 did the test on edge

Step-by-step explanation:

The sum of only negative numbers.
Is it positive or negative

Answers

Answer: negative

Step-by-step explanation: Whenever you are adding negative

numbers together, you will always get a negative number.

For example, (-1) + (-1) will give you -2.

In the same way, (-5) + (-4) gives you -9.

Answer: negaitive

When you add a negative plus a negative you always get another negative

A new car costs $8000 at full price. With a sales tax of 5.75%, how much will the car cost in total?​

Answers

Answer:

$8460

Step-by-step explanation:

So for this problem we will use the base price of $8000 and add the additional cost of the 5.75% to find the total cost for the car.

So, to find the 5.75%, we simply multiply 8000 by .0575 to get 460.

So 8000 + 460 = 8460.

Thus, the total price of the car would be $8460.

Cheers.

Answer: $8,460

Step-by-step explanation: If you multiply the cost of the car by the sales tax you get your answer. Hope this helps!

Factorise a2 -10a-24​

Answers

Answer:

(a+2)(a-12)

Step-by-step explanation:

[tex]a^2-10a-24\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(a^2+2a\right)+\left(-12a-24\right)\\\\\mathrm{Factor\:out\:}a\mathrm{\:from\:}a^2+2a\mathrm{:\quad }a\left(a+2\right)\\\\\mathrm{Factor\:out\:}-12\mathrm{\:from\:}-12a-24\mathrm{\\:\quad }-12\left(a+2\right)\\=a\left(a+2\right)-12\left(a+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}a+2\\=\left(a+2\right)\left(a-12\right)[/tex]

Answer:

(a + 2)(a - 12)

Step-by-step explanation:

a^2 - 10a - 24

using splitting method

a^2 - 12a + 2a - 24

taking separate common from both pairs

a(a - 12) + 2(a - 12)

(a + 2)(a - 12)

4b+4<4(5-3b) how do u break this down to get the right answer​

Answers

4b+4<20-12b

16b<16

b<1 olur.

İYİ DERSLER!

Answer:

See answer in the image below.

I'm confused about what the expression is.

Answers

Answer:

4(x+y)

Step-by-step explanation:

x+y is one side length and there are 4 side lengths.

If one bus takes 15 minutes to refill diesel in the tank than 4 buses will take how many minutes to refill

Answers

Answer:

1-->15 min

4-->x min

Step-by-step explanation:

x=15×4=60

4 buses will take 60 min to refill

In hours, 60min÷60=1 hour

Answer:

Step-by-step explanation:

x=15×4=60

4 buses will take 60 min to refill

In hours, 60min÷60=1 hour

Without simplifying, select all the expressions that represent a rational number. Group of answer choices LaTeX: 4\frac{2}{3}\times\frac{8}{\sqrt{3}} 4 2 3 × 8 3 4 2 3 × 8 3 4 2 3 × 8 3 LaTeX: 4\frac{2}{3}+\frac{\sqrt{3}}{9} 4 2 3 + 3 9 4 2 3 + 3 9 4 2 3 + 3 9 LaTeX: 4\frac{2}{3}-\frac{\sqrt{4}}{8} 4 2 3 − 4 8 4 2 3 − 4 8 4 2 3 − 4 8 LaTeX: 4\frac{2}{3}\times\frac{\sqrt{3}}{9} 4 2 3 × 3 9 4 2 3 × 3 9 4 2 3 × 3 9 LaTeX: 4\frac{2}{3}\div\frac{\sqrt{4}}{8} 4 2 3 ÷ 4 8 4 2 3 ÷ 4 8 4 2 3 ÷ 4 8

Answers

Answer:

Well the real answer is 1st 2nd and 5th

Step-by-step explanation:

Just took the quiz

Express the following fraction into a decimal
- 5/9

Answers

Answer:

5/9 = 0.5

Step-by-step explanation:

hope it helps leme know if u hab doubts

Spackle paint supply had a beginning inventory of 10 cans of paint at 25 per can. They purchased 20 at 30 per can. They had an ending inventory valued 500. How much paint in dollars was used for the month

Answers

Answer:

The total number of paints used for the month = $350

Step-by-step explanation:

Given that:

Spackle paint had a beginning inventory of 10 can of paint at $25 per can =

10× $25 = $250

They purchased 20 at $30 per can.

The amount of the 20 purchased can = 20 × $30 = $600

The total inventory for this supply = $600 + $250

= $850

They had an ending inventory valued 500.

The total number of paints used for the month = total inventory  - ending inventory

The total number of paints used for the month = $850 - $500

The total number of paints used for the month = $350

20 POINTS !!!

Find the distance between the points (3,-4) and (5, 4)

Answers

Answer:

[tex]d=2\sqrt{17}\approx8.2462[/tex]

Step-by-step explanation:

To find the distance between two points, use the distance formula.

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Let (3,-4) be x₁ and y₁ and let (5,4) be x₂ and y₂. Therefore:

[tex]d=\sqrt{(5-3)^2+(4--4)^2[/tex]

Simplify:

[tex]d=\sqrt{(2)^2+(8)^2[/tex]

Square:

[tex]d=\sqrt{4+64}[/tex]

Add:

[tex]d=\sqrt{68}[/tex]

Simplify:

[tex]d=\sqrt{4\cdot17}=\sqrt4\cdot\sqrt{17}[/tex]

Simplify:

[tex]d=2\sqrt{17}\approx8.2462[/tex]

Answer:

[tex]\boxed{2\sqrt{17}}[/tex]

Step-by-step explanation:

To find the distance between two points, we use the distance formula. The distance formula is:

[tex]\boxed{d=\sqrt{(x_{2}-x_{1})^{2}+({y_{2}-y_{1})^{2}}}}[/tex]

Therefore, we can label our coordinate pairs and solve for d.

Because we are given two coordinate pairs, we will follow the standard naming system for coordinate pairs. This is [tex](x_{1}, y_{1}) \text \: {and} \: (x_{2}, y_{2})[/tex]. Therefore, we can implement the distance formula and solve.

[tex]\sqrt{(5-3)^{2}+(4-(-4))^{2}}\\\\\sqrt{(2)^{2}+(8)^{2}}\\\\\sqrt{4 + 64} \\\\\sqrt{68} \\\\\boxed{2\sqrt{17} }[/tex]

I’m mainly looking for help with #15 for this one please

Answers

Answer:

[tex]\lim_{x\to3^-}\sin{\frac{\pi}{\floor[x]}=1[/tex]

[tex]\lim_{x\to3^+}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]

[tex]\lim_{x\to3}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]

Step-by-step explanation:

So we want to left and right hand limits of the function:

[tex]f(x)=\sin{\frac{\pi}{\floor[x]}[/tex]

as x approaches 3.

Note that the [x] means the floor function a.k.a the greatest integer function. In other words, the value of the function will be the greatest integer less than or equal to x.

1) Left

So we have the limit:

[tex]\lim_{x\to3^-}\sin{\frac{\pi}{\floor[x]}[/tex]

Note that since we're coming from the left, the values are 2.9, 2.99, and 2.999...

As I mentioned previously, the floor function outputs the greatest integer less than or equal to x.

With 2.9, 2.99, and 2.999, the greatest integer less than or equal to x is 2.

Therefore:

[tex]=\sin{\frac{\pi}{2}[/tex]

Simplify:

[tex]=1[/tex]

So:

[tex]\lim_{x\to3^-}\sin{\frac{\pi}{\floor[x]}=1[/tex]

2) Right:

[tex]\lim_{x\to3^+}\sin{\frac{\pi}{\floor[x]}[/tex]

Since we're coming from the right this time, the values are going to be 3.01, 3.001, 3.001.

And, the greatest integer less than or equal to 3.01, 3.001, and 3.001... is 3.

Therefore:

[tex]=\sin{\frac{\pi}{3}[/tex]

Simplify:

[tex]=\frac{\sqrt3}{2}[/tex]

So:

[tex]\lim_{x\to3^+}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]

At 3:

So we have:

[tex]\lim_{x\to3}\sin{\frac{\pi}{\floor[x]}[/tex]

The greatest integer of 3 is just 3. So:

[tex]=\sin{\frac{\pi}{3}\\[/tex]

Simplify:

[tex]=\frac{\sqrt3}{2}[/tex]

So:

[tex]\lim_{x\to3}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]

What is the solution to the inequality below?
X^2>=81

Answers

Answer:

A. x ≤ - 9 or x ≥ 9

Step-by-step explanation:

x² ≥ 81

| x | ≥ 9

x ≥ 0 => x ≥ 9 => x ∈ [ 9 ; + oo)

x < 0 => x ≤ - 9 => x ∈ ( -oo ; - 9 ]

x ∈  ( -oo ; - 9 ] ∪ [ 9 ; + oo)

PLSSS HELP Which triangles are similar to triangle A?

Answers

Answer:

ΔB

Step-by-step explanation:

ΔA's angles are: 58º, 54º, and 68º

68º is found by 180 - (58 + 54)

ΔB's angles are: 54º, 68º, and 58º

58º is found by 180 - (68 + 54)

ΔA and ΔB have the same angles, therefore they are similar triangles

Answer:

triangle b

Step-by-step explanation:

i measured

-9(2+3x) distributive property

Answers

You would multiply -9 by 2 and 3x. So it would be -9•2=-18. Then -9•3x=-27x. Hope this helped!

Answer: -18 - 27x, or -27x - 18

1. Solution Steps

[tex]-9(2+3x)[/tex]

Use the distributive property to multiply −9 by 2+3x.

[tex]-18-27x[/tex]

Expand

[tex]-27x-18[/tex]

2. Solution Steps

[tex]-9(2+3x)[/tex]

Use the distributive property to multiply −9 by 2+3x.

[tex]-18-27x[/tex]

What is the value of the expression below when z = 2? 4z2 – 3z – 4​

Answers

Answer:

6

Step-by-step explanation:

[tex]4z^2 - 3z - 4​\\z =2[/tex]

Substitute 2 for z in the given equation

[tex]4(2)^2 - 3(2) -4\\[/tex]

Follow the PEMDAS order of operations

[tex]\mathrm{Calculate\:exponents}\:\left(2\right)^2\::\quad 4\\=4\cdot \:4-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\times\:4\::\quad 16\\=16-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\left(2\right)\::\quad 6\\=16-6-4\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:16-6-4\::\quad 6[/tex]

Answer:

Step-by-step explanation:

Plug in z = 2 in the expression

4z² - 3z - 4 = 4*2² - 3*2 -4

                 = 4*4 - 6 - 4

                 = 16 - 6 - 4

                 = 10 - 4

                 = 6

Solve for x.
45+ Go +1) =
2x

Answers

Answer:

x=  [tex]\frac{1}{2}[/tex]go+23

Step-by-step explanation:

Huda evaluated the expression below. Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34. What was Huda's error? Huda evaluated (3) squared incorrectly. Huda found the product of –3 and 9 as positive. Huda subtracted –7 from 27 incorrectly. Huda did not follow the order of operations.

Answers

Answer:

Huda found the product of –3 and 9 as positive.

Step-by-step explanation:

Given the expression and result below :

Huda evaluated the expression below. Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34

-3(8 - 5)² - (-7) =

Step 1:

- 3(3)² - (-7)

Step 2:

-3(9) - (-7)

Step 3:

27 - (-7) = 34 (error in the third step)

-3(9) = - 27

Hence,

-27 - (-7) = - 27 + 7 = - 20

Answer:

its B on edge

Step-by-step explanation:

I just took the test

Other Questions
Based on the data provided, do the Super Snail Snacks work? Explain your answer Change the following military times to regular times. a. 0215 b. 0532 c. 0045 d. 1842 what does it mean to be a citizen of a community? What is an example of good citizenship from each type of citizen? Identify the independent and dependent variables Mindy and her lab group are given 2 aloe vera plants as test subjects and are asked to create a testable hypothesis of their choice and design a scientific experiment to test that hypothesis. Mindys hypothesis is as follows: If aloe vera plants receive no sunlight then they will die. Mindy designs an experiment where she will take both plants and put them in a window next to one another and plant them in the same size pot with the same kind of soil and they will receive the same amount of water at the same times over the course of a month. One plant however will be kept in the sunlight while the other will have a box placed over it to prevent it from receiving any light Solve for x.4 + 3 x / 2 = 5x = [?] f(x)Analyze the table of values for the continuous function,f(x), to complete the statements.A local maximum occurs over the intervalA local minimum occurs over the interval-3-16-2-1-120-11-4N-1 How were settlement societies different from hunter-gatherer societies? Hunter-gatherer societies relied on outside trade for food supplies. Settlement societies did not have contact with other human groups. Hunter-gatherer societies were able to use leisure time to develop art. Settlement societies specialized in tasks other than hunting and farming. Who was Henry Morton Stanley? Water flows over Niagara Falls at the average rate of 2,400,000 kg/s, and the average height of the falls is about 50 m. Knowing that the gravitational potential energy of falling water per second = mass (kg) height (m) gravity (9.8 m/s2), what is the power of Niagara Falls? How many 15 W LED light bulbs could it power? What is 7 (n + 1) = 3 + 7n Folk songs, folk musical instruments, folk dances are complementary to each other" Justify. Add the following vectors using head-to-tail method and verify your results using the component method.1. Vector A has a magnitude of 4.0 cms at an angle of 30 degrees with the positive X-axis; vector B has a magnitude of 3.0 cms at 90 degrees with + X-axis; vector C has a magnitude of 5.0 cms at 120 degrees with + X-axis.2. In addition to vectors A, B, and C in problem # 1, there is a vector D with a magnitude of 6.0 cms at an angle of 210 degrees with +X-axis.Note: Use a graph paper to show your work for problem number 1 and 2 using the head-to-tail method.Do the component method analysis of both of these problems using the component method of adding vectors. Show your work step by step by taking the x and y components of all the vectors; adding all the x and y components together and then finding the resultant vector magnitude and direction knowing x and y are perpendicular to each other.Compare the results of the graphical analysis as well as the component method and find the percent error using the component method as standard result Enter an algebraic equation for the sentence. Use x as your variable.The difference between nine times a number and 4 is 23. A pound of fertilizer cover 45 square feet of lawn Vivian bulgakov's lawn measures 8666.7 square feet how much fertilizer to the nearest tenth of a pound does she need to buy Given the points M(-2,-4) and N(1, 5), find the point T that partitions MN in a ratio of 1:2. Sharon is lifting a large bo of supplies from the floor to a cart. Keeping her feet together, Sharon bends her knees and uses the muscles in her thighs, upper arms, and shoulders to lift the box. She holds the box at arms length to place it on the cart. She is careful to move the box and her body at the same time while lifting. 1. What did Sharon do correctly? What should she have done differently? Olivia wanted to conduct research at the zoo. She observed the lions, giraffes, zebra, baboons, and the elephants. She observed each species for 90 minutes and wrote down everything she saw them do. When she went home, she summarized what she observed in a chart. The next day, Olivia told her best friend that she had completed a full scientific experiment at the zoo. Why is this statement of Olivia's incorrect? Investiga y completa la siguiente ficha : identigicacion : tema : color : composicion : luz : figura your brother who is in third year in another school has written to confide in you that he is about to stop schooling and go into business write a letter to him advising him against his decision Your chemistry lab partner is interested in studying how industrial chemicals can pollute the environment. What type of chemistry would you recommend to your lab partner and which courses should they take in order to study it? Explain your answer.