Find the asymptotes of the following functions

Find The Asymptotes Of The Following Functions

Answers

Answer 1

Answer:

a) y = -6/x has a vertical asymptote at x = 0

b) y = 1/(2·x) - 1 has two asymptotes;

1) A vertical asymptote at x = 0

2) A horizontal asymptote at y = -1

Step-by-step explanation:

The asymptote is given as the line in which the distance between the graph and the line draws closer to zero as either the 'x', or 'y', or both 'x', and 'y', approaches infinity

a) The given equation is y = -6/x

Therefore, the function does not have a horizontal or oblique asymptote only a vertical asymptote at x = 0

b) The given equation is y = 1/(2·x) - 1

∴ y = (1 - 2·x)/(2·x)

The function has a vertical asymptote at x = 0

The function has an horizontal asymptote at y = -2/2 = -1


Related Questions

Jill Barley obtained a 25-year, $60,000.00 mortgage loan from University
Savings and Loan Association. The interest rate is 6 percent. The monthly
payment is $386.40. For the first payment, what is the interest? What is the
payment to principal? What is the new balance?

Answers

Answer:

a. Interest = $300

b. Payment to principal = $86.40

c. New balance = $‭59,913.6‬0

Step-by-step explanation:

The monthly payment has both an interest component and a principal repayment component.

The interest component is based on the total principal still due at the time and the principal repayment component will be the rest of the payment.

As the interest is listed in annual terms, it needs to be made a monthly rate:

= 6%/12 months

= 0.5%

Interest = 60,000 * 0.5%

= $300

Payment to principal = 386.40 - 300

= $86.40

New balance = Amount due - payment to principal

= 60,000 - 86.40

= $‭59,913.6‬0

f(x)=9/x , g(x) = x / x + 1

Answers

Answer

f(x)=9/x , g(x) = x / x + 1 = 9/2

Step-by-step explanation:

Algerba 1 (polynomials) plss help

Answers

Answer:

Step-by-step explanation:

the coefficient is the number that is multiplied by x² so is 17

the constant term is the one without any x ( it does not change when x changes) so is -13

A. ( x + 5)

B. ( x - 5 )

C. ( x + 3 )

D. ( x - 3 )

Answers

Answer:

(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0

Step-by-step explanation:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.

Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.

An asterisk * or × is the symbol for multiplication.

Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.

The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

A scale factor of 9/8 is:
an enlargement
a reduction

Answers

Answer:

an Enlargement because K>1

THE ANSWER HAS TO BE A INTEGER OR A DECIMAL. ANSWER FOR 50 POINTS.

Answers

Answer:

-2.5 oz

Step-by-step explanation:

The proportion relationship is:

y = kx

Using the table we find the value of k:

-0.14 = 7kk = -0.14/7k = - 0.02

For the value of x = 125, the value of y is:

125*(-0.02) = -2.5

Which shows the following expression after the negative exponents have been eliminated?
A^3 b^-2/ab^-4
A=/0, b=/0

Answers

Answer:

[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]

[tex]a\ne 0; b \ne 0[/tex]

Required

Evaluate

[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]

Apply the following law of indices:

[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]

So, the expression becomes:

[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2-(-4)}[/tex]

Remove brackets

[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2+4}[/tex]

[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]

Answer:

D. a^3 b^4 / ab^2

Step-by-step explanation:

PLEASE HELP ⚠️⚠️

Elena began to solve this equation: 12x +6(4x + 3) = 6(6x + 4) - 6 12x + 24x + 18 = 36x + 24 - 6 when she got to the last line she stopped and said the equation is true for all values of x. How could Elena tell without finishing?​

MARKING BRAINLIEST IF YOU ACTUALLY TRY​

Answers

Answer:

Elena could tell without finishing by simplifying both sides. The next step would have been 30x +24x = 30x+24. This would have been simplified down to x=1

Step-by-step explanation:

She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given as,

12x +6(4x + 3) = 6(6x + 4) - 6

Simplify the equation, then we have

12x +6(4x + 3) = 6(6x + 4) - 6

12x + 24x + 18 = 36x + 24 - 6

36x + 18 = 36x + 18

She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

f (x) = -x2 + 164x - 64, f(x) = -4x2 - 10x + 84, f(x) = 3x² + 24​.​

Answers

Answer:

You need to ask a question for someone to answer it.

Are you looking for their derivatives?

-x² + 164x - 64  => -2x + 164

-4x² - 10x + 84 => -4x - 10

3x² + 24 => 6x

Indefinite Integrals?

-x² + 164x - 64  => -x³/3 + 82x² - 64x + C

-4x² - 10x + 84 => -4x³/3 - 5x² + 84x + C

3x² + 24 => x³ + 24x + C

Want them factored?

-x² + 164x - 64  => has no factors

-4x² - 10x + 84 => 2(2x - 7)(x + 6)

3x² + 24 => 3(x² + 8)

We can't ensure a proper answer if you don't ask the question.

A baker used 48 cups of almond flour for a recipe. The ratio of cups of almond flour to cups of whole wheat flour that she used was 3 to 5. How many cups of whole wheat flour did the baker use?

Answers

Answer:

I have made it in above picture

0.110 is _____ than 0.450?

A. less
B. greater
C. equal
D. greatest​

Answers

Less than. big truss, you gotta know that stuff bro
Of course it’s less than bro

anyone please help asap!!! The theater holds 250 people last last nights performance was sold out, students under the age of 16 paid $2.50 per ticket, but everyone else in the theater paid four dollars. Last night show brought in $910 how many people were under the age of 16 and how many were older than 16 that went to the show?

Answers

Answer:

there were 60 people that are under 16 and 190 people above 16.

Compare Marcella's possible earnings of ​Office Essentials t​ o her possible earning at ​Everything Office. ​If her goal is to earn $ 4,000, which company Marcella should choose ? Explain your reasoning.​ ​Show your /work
(DUE SOON I NEED HELP ASAP)

Answers

Answer:

Correct answers: Part A: Moe = 2500 + 125n and Meo = 2000 + 150n. Part B: oe: 12 machines; eo: 14 machines. Part C: 20 machines or higher.

PARCC evidence statement(s) tested: HS.D.1-1:

Solve multi-step contextual problems with degree of difficulty appropriate to the course, requiring application of knowledge and skills articulated in 7.RP.A, 7.NS.3, 7.EE, and/or 8.EE.

The evidence statement above references mainly Math Practice 4 in the Common Core:

[MP.4] Model with mathematics. Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. … By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.

It may also reference other standards of mathematical practice, including MP.1 (make sense of problems and persevere in solving them), MP.2 (reason abstractly and quantitatively), and MP.5 (use appropriate tools strategically).

The question requires students’ prior understanding of the eighth-grade Common Core standard 8.EE.C, found under Expressions and Equations (analyze and solve linear equations and pairs of simultaneous linear equations), which states that they should be able to [EE.C.7] “solve linear equations in one variable” and [EE.C.8] “analyze and solve pairs of simultaneous linear equations.”

Note that the PARCC question referenced here simply uses understanding of these standards from eighth grade, considering this understanding to be securely-held knowledge. The PARCC question in Algebra 1 tests students’ ability to model with mathematics, as referenced in Math Practice 4.

Step-by-step explanation:

a parallelogram has a size of 8ft and 6ft with an area of 54 ft squared. what is the length of the altitude to the 8ft base
A. 6.75
B.9
C.24
D.27

Answers

Answer: may i see a picture then I can help

Step-by-step explanation:

please answer and fast i will mark brainliest

Answers

Answer:

B

Step-by-step explanation:

To get from 1 to 5, add 4.

To get from 3 to 7, add 4.

To get from 4 to 8, add 4.

Hope this helps!

I NEED HELP WITH 8TH GRADE MATH

Answers

Answer:

Are you doing Pythagorean theorem?

If not, what is your unit topic?

Answer:

Step-by-step explanation:

3. 17

4. 24

5. 24.21

6. 40

7. 15.81

8. 16

d, 8 miles
f. 25 miles-
hi go km=
1, 75 miles: km
miles
- miles
miles
j. 112 km
miles
1
miles
m. 150 km = miles
po 200 km = miles
- km
r. lkma
miles.​

Answers

Answer:

ask me some thing i under stand ur confusing

Step-by-step explanation:

dsf

What is the answer??

Answers

Answer:

The notation of the segment AB will be:

[tex]{\displaystyle {\overline {AB}}}[/tex]

Step-by-step explanation:

We know that a line segment is a line of part with two endpoints.

The notation of a line segment is illustrated by a single overbar with no arrowheads over the letters representing the two endpoints.

For example,

Let AB be the line segment

Here A and B are the endpoints of a part of a line.

Thus, the notation of the segment AB will be:

[tex]{\displaystyle {\overline {AB}}}[/tex]

The expression 20a + 13c is the cost (in dollars) for adults and students to enter a science center. Find the total cost for 4 adults and 24 students.

Answers

Answer:

$392

Step-by-step explanation:

Given the expression :

Total cost = 20a + 13c

a = adult

c = student

The total cost for 4 adults and 24 students

a = 4 ; c = 24

Total cost :

20(4) + 13(24)

80 + 312

= $392

What is the final amount if 588 is decreased by 3% followed by a 6% increase?
Give your answer rounded to 2 DP.

Answers

Answer:

604.58

Step-by-step explanation:

because hegarty says its 604.58

-X + 5 = 1
What is the answer for this equation and the steps

Answers

Answer:

4

Step-by-step explanation:

-x + 5 = 1

-x = 1 - 5

-x = -4

x = 4

Need help asap please on these two

Answers

Answer: first one is a. (v = 1 2/3) the second on is c. (line up numbers at the decimal point)

Step-by-step explanation:

If you know the answer could you please help me out I would really appreciate it thank you!!

Answers

Answer:

X=4 ; X minus two equals zero

Step-by-step explanation:

X minus two equals zero:

x-2=2

Add two to both sides:

x=4

day 2 on still being stuck on this... this is due on Friday lol so please help 3

Answers

Answer:

It's 17

Step-by-step explanation:

1.        15 squared is 225

2.       8 squared is 64

3.       225+64=289

4.       find the square root of 289

5.       17 is because when you square 17, you get 289.

P.S mark ar brainliest, rate 5 stars and hit that thanks button.

Could someone help me with 7-10
On Match each function with its graph

Answers

Answer:

c

Step-by-step explanation:

3 1/4 - 4 1/2 show your work

Answers

If I did the math correct, the answer is -1 1/4, i'll attach a ss in a second.

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9, the length of T Q is 16, and the length of R Q is x.
What is the value of x?

12 units
15 units
20 units
24 units

Answers

Answer:

the actual answer is 20 units

Step-by-step explanation:

The value of x which is equal to length RQ is 20 units.

The given parameters;

Length of ST = 9 Length of TQ = 16Length of RQ = x

From the given triangle we can apply similar triangle property as follows;

[tex]\frac{base \ of \ triangle \ SRQ}{hypotenuse \ of \ triangle \ SRQ} = \frac{base \ of \ triangle \ RTQ}{hypotenuse \ of \ triangle \ RTQ} \\\\\frac{RQ}{SQ} = \frac{TQ}{RQ} \\\\\frac{x}{(9 + 16)} = \frac{16}{x} \\\\x^2 = 25 \times 16\\\\x = \sqrt{25 \times 16} \\\\x = 5 \times 4\\\\x = 20 \ units[/tex]

Thus, the value of x which is equal to length RQ is 20 units.

Learn more about similar triangles here: https://brainly.com/question/11899908

please help me with this thankyou ​

Answers

Answer:

Area of the Rectangle is (length×breadth)

[tex]5 {x}^{5} {y}^{3} \times {(7 {x}^{3}y) }^{4} = 5 {x}^{5} {y}^{3} \times 2401 {x}^{12} {y}^{4} \\ = 12005 {x}^{17} {y}^{7} [/tex]

Third option is the right answer.

Lucas bought some black socks and white socks each package of black socks contains six pairs each package of white socks contains four pairs Lucas but W packages of white socks and eight packages of black socks for a total a 56 pair of socks which equation could use also determine the number of packages of White Sox W Lucas bought?

Answers

Answer:

w = 2   He bought 2 packages of white socks

Step-by-step explanation:

6(8) + 4w = 56

48 + 4w = 56

4w = 8

w = 2

Check your work

6(8) + 4(2) = 56

48 + 8 = 56

56 = 56

you want to organize a group of friends to go to a karaoke studio friday night. you must pay $30 to reserve a room plus $5 for each person in the group. You also want to have snacks for the group at a cost of $2 per person. how Many people can be in the group in order for the total cost to be $114

how do you solve this????

Answers

Answer: 12 people or less

Step-by-step explanation:

114≥30+5x+2x

114-30≥5x+2x

84≥7x

84/7≥7x/7

12≥x

There can be at  12 people or less who can attend the Friday night

Other Questions
Solve 3x - 7 = 32Plssss helpp The two major parties that exist in the United States are the _______________________ and the ______________________. Third parties do exist in the United States and although they rarely __________ elections, they play an important role in public policies. They (Third Parties) can also revolve around a political _______________________. An example of this would be ____________________________ and the Bull Moose Party. What is the value of x? A 2.6 kg ball is accelerated at 4.5 m/s2. Calculate the force needed to achieve this feat. Show all work including formula and units! Write a cause and effect paragraph on the given topic. The paragraph must contain Topic Sentence, Example Sentence, Analysis Sentence, and Linking Sentence. What is the most abundance metal elements in Air ? Read the scenario and solve these two problems.When traveling at top speed, a roller coaster train with a mass of 12,000 kg has a velocity of 30 m/s. The kinetic energy of the train at top speed isJ.Given this kinetic energy, what is the tallest hill this roller coaster train can reach the top of?The train can climb a hill that ism high. why was the US fearful of the soviet union in the cold war 1. How could you find the actual number of sticky notes it will take to cover the cabinet, excluding the bottom? What information would you need to know? Why was literacy so important in Islam?Group of answer choiceshelped build the great librariesAll of these are correct.allowed people to gain political powerhelped overthrow the west Language Arts 12 Part 2 (Foundations) 20-212. After Jane left Thornfield she became a beggar, receiving no help until St. John intervened.TrueFalse Drinking too much water during exercise can cause a condition in which the concentration of sodium in the blood is lowerthan normal.What immediate response would the blood cells have in this condition?Cells swell as water moves into them.Cells swell as water moves out of them.Cells shrivel as water moves out of them.Cells shrivel as water moves into them. mention the importance of child rights puede alguien ayudarme con esto?Escribir un poema sobre tu amiga/o 1. Un sustantivo2. Dos adjetivos3. Tres verbos4. Cuatro sustantivos5. Tres verbos6. Dos adjetivos7. Un sustantivo Which city sees its populationincrease by about 1,000% one montheach year?A.) IslamabadB.) JerusalemC.) MeccaD.) Tehran On average, 3 percent of U.S. travelers do not show up for their flight. Suppose this probability is independent and constant across travelers. For a given flight from Seattle to San Francisco, an airline accepted a total of 103 reservations while the plane capacity is 100 seats. What is the probability that the airline will have to bump at least one passenger I need help with this question Can anybody help me on this i don't get it Hello I need some help on this question because Im overthinking that if its A,B,C my top three choices so please help me out on this one. Which excerpt from "Seventh Grade" best expresses the main conflict that Victor faces in the story? They talked about recent movies, baseball, their parents, and the horrors of picking grapes in order to buy their fallclothes. The two friends socked each other in the arm and went their ways, Victor thinking, man, that's weird. Michael thinksmaking a face makes him handsome. After English, Victor had math, his weakest subject. He sat in the back by the window, hoping he wouldn't be calledon.O A river of nervous sweat ran down his palms. He felt awful. Teresa sat a few desks away, no doubt thinking he wasfool.