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

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

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

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

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

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:

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

-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

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.

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.

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:

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

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

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]

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.

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

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

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.

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

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

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:

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!

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 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:

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

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

Answers

Answer:

an Enlargement because K>1

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

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

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

Answers

Answer:

c

Step-by-step explanation:

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

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