How do you draw asymptotes?

Answers

Answer 1

To draw asymptotes, first determine the equation of the line of the asymptote. Then use the equation to plot points and draw the line. For vertical asymptotes, use the x-intercept and for horizontal asymptotes, use the y-intercept.

To draw asymptotes, first you need to determine the equation of the line of the asymptote. The equation of the asymptote is usually in the form of y = ax + b or x = ay + b. The a and b coefficients allow you to determine the slope and intercept of the line. Once you have the equation, use it to plot points and draw the line. For vertical asymptotes, use the x-intercept and for horizontal asymptotes, use the y-intercept. Then, connect the points with a smooth line. Make sure the line does not intercept the graph at any point as this would not be an asymptote. Once you have drawn the line, check to make sure it is indeed an asymptote by comparing it to the given equation. If it matches, you have successfully created an asymptote!

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Related Questions

Which is greater -9/6 or 3/-2

Answers

Answer:

Step-by-step explanation:

-9/6 im not sure so dont get mand if im wrong

Hey can someone tell me what -3x^2(14x^2-2x-8) equals

Answers

Answer:

-42x^4 + 6x^3 + 24x^2

Step-by-step explanation:

Help Please I put 70 pts on this
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:


Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)

Part C: Describe the constraints of the domain. (3 points)

Answers

Answer: A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4

 B) average slope: ≈50, about $50 increased profit for each $1 increase in price.

Step-by-step explanation:

A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.

The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Obviously profit is increasing with price for x < 4, and is decreasing with price for x > 4.

__

B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...

 (f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50

The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.

_____

* If we take the peak profit to be $270, we can write f(x) as ...

 f(x) = 16.875x(x -8)

Then f(1) = 118.125 and the average rate of change is 50.625. For the purpose here, we judge the extra precision to be pointless.

Step-by-step explanation:

A) Intercepts zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4

B) average slope: ≈50, about $50 increased profit for each $1 increase in price.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.

The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Profit is increasing with price for x < 4, and is decreasing with price for x > 4.

B) The value of f(1) from the graph to be about 120, so the average rate of change is about.

(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50

The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.

If we take the peak profit to be $270, we can write f(x) as:

f(x) = 16.875x(x -8)

Then f(1) = 118.125 and the average rate of change are 50.625. For the purpose here, we judge the extra precision to be pointless.

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pls help quick what is 1/8+2/5

Answers

Answer:

21/40

Step-by-step explanation: here is a calculator to help you with fractions: https://www.calculatorsoup.com/calculators/math/mixednumbers.php

21/40 that’s the answer

Ms. Morrison is purchasing a house and needs to finance a $150,000 mortgage from
the bank with an annual percentage rate (APR) of 3.8%. She is financing it over 30
years and making monthly payments. What is the monthly payment?

Answers

ms. morrison would have to pay $698.94 monthly for the next 30 years

A company is going to make a storage container with sheet steel walls The container will be in the shape of a rectangular prism If the sheet steel costs 30 for each square meter how much will the sheet cost it total The sides are 7m 3m and 3m

Answers

Answer:

3060

Step-by-step explanation:

First we need to calculate the total surface area of the prism

TSA  = 2(lw+wh+lh)

l is the length of the prism

w is the width of the prism

h is the height of the prism

Let

L = 7m

W = 3m

H = 3m

Substitute

TSA = 2(7(3)+3(3)+7(3))

TSA = 2(21+9+21)

TSA = 2(30+21)

TSA  = 2(51)

TSA  = 102m²

Hence the total surface area of the prism is 102m²

Since sheet steel costs 30 for each square meter, then;

1m² = 30

102m² = x

Cross multiply

x = 30*102

x = 3060

Hence the sheet with the dimension will cost 3060

what is the awnser to 65.9- 45.902=

Answers

Answer:

19.998? or is there something else to it

Let A = (3,5,7,9,11,13) B=( 3,5,9,11) , C=(5,9,13)
(13)=B
A. True
B. False

Answers

Ist true hope that helps have a great one day in life

it earned 32000 per month has been One by fourth of his income on food 3y 10 of the remainder on house rent and 5 by 21 of the remainder on the education of children how much money is still life with him​

Answers

He will have 6780.95 left with him

Simplify the following rational expression and express in expanded form.
6
m
2

5
m
y

y
2
12
m
+
2
y
=
12m+2y
6m
2
−5my−

Answers

Answer:

6m²-5my-12m

Step-by-step explanation:

dont get it oooo

Answer:

On khan Academy,

it is m-y/2

anybody know how to do this?????

Answers

Answer:

[tex]x = 30[/tex]

Step-by-step explanation:

In order A to be parallel to B, our alternate interior angles must be equal.

This means that

[tex]5x = 3x + 60[/tex]

[tex]2x = 60[/tex]

[tex]x = 30[/tex]

2 + 1.25f = 10 - 2.75f

Answers

Answer:

F=2

Step-by-step explanation:

1.25f+2.75f=10-2

calculate like terms

4f=8

divide

F=2

what is the slope of the graph in the picture?

Answers

The slope is (2,4)
Seeing how it’s a positive line and you can’t see the other numbers but you can see that it’s going up by 2 every time

Answer:

slope is 2

Step-by-step explanation:

Pick any two points

say point (0,0) and point (2, 4)

to find slope, subtract the x and y coordinates as a fraction.

y on the top, x on the bottom

y/x = (4 -0)/ (2-0) = 4/2 = 2

Describe the translation below using words and then write a rule for it.

Answers

The transformation of the figure is a translation. The original figure moves over 2 squares, then down once. The rule would be (x-2, y-1)

I’m pretty sure the answer is correct but my wording may not be so good :|

r+b=7
3.75r+2.75b=22.25

Answers

Answer:

Step-by-step explanation:

hello :

r+b=7... (*)

3.75r+2.75b=22.25.... (**)

use (*) :  r = 7 - b

put this value in (**) :

3.75(7 - b)+2.75b =  22.25

26.25 -375b +2.75b = 22.5

-375b +2.75b = 22.5 - 26.25

- b = -3.75

so : b  = 3.75

but : r = 7 - b

r = 7 - 3.75

r = 3.25

find the quotient 12/15÷6/11​

Answers

Answer:

.8

Step-by-step explanation:

Write the equation of the line that passes through the points (3, 4) and (5, 8)

Answers

Answer:

y=2x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-4)/(5-3)

m=4/2

m=2

y-y1=m(x-x1)

y-4=2(x-3)

y=2x-6+4

y=2x-2

It's urgent!!!
Solve 5a - 2b =7 and 5a + 2b =14 simultaneously​

Answers

Here’s my work for your question

Apply the problem-solving techniques to solve the following
problem.
Population decrease In 1990, a rural area had 1200 bird
species. If species of birds are becoming extinct at the rate of
1.5% per decade (10 years), how many bird species will there be
left in the
year
2020?

Answers

Answer:

By 2020, there will be 1,147 species of birds left

Step-by-step explanation:

The general model for an exponential decrease is;

y = I(1 - r)^t

where in this case;

y is the number of bird species at a particular decade from the initial

I is the number of birds initially at 1990

r is the decrease percentage which is 1.5% per decade ; 1.5% = 1.5/100 = 0.015

t in this case will be the number of decades after the initial

Mathematically, a decade is 10 years

The difference between 2020 and 1990 is 30

The number of decades in 30 years is 30/10 = 3

so t will be 3 here

Substituting these values into the equation, we have

y = 1200(1-0.015)^3

y = 1200(0.985)^3 = 1,146.8

To the nearest whole number, this is 1,147

Solve the system.
2x + y = 3
-2g = 14 – 6x
Write each equation in slope-intercept form.


Answers

Answer:

x = 2, y = -1

Step-by-step explanation:

Assuming it should be y not g

y = -2x + 3

-2y = -6x + 14

y = 3x - 7

-2x + 3 = 3x - 7

10 = 5x

x = 2

y = -1

Katia is baking. She uses 2 ⅛ cups of sugar for cookies and 1 ⅗ cups of sugar for a cake. How much total sugar did Katia use?

Answers

Answer:

3.725

Step-by-step explanation:

because you add 2.125 (2 1/8) and 1.6 (1 3/5) to get 3.725

What are the degree and leading coefficient of the polynomial?

Answers

Answer:

Degree: 9

Coefficient: -1

Step-by-step explanation:

The degree of a polynomial is equivalent to the highest degree of all its terms.

The term with the highest degree in this polynomial is y^9

what that person said ya

Which expression can be used to find measure angle R

Answers

Answer:

cos-1(-4/14)

Step-by-step explanation:

If

4.5=r

3.5=s

2=t

By law of cosines:

[tex]r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )[/tex]

find the value of each variable

Answers

i’m pretty sure x is 16 and y is 28

Plz make sure when you put an answer it is correct I’ll give you brainliest !

Answers

Answer:

C. 35 degrees

Step-by-step explanation:

Answer:

35 is your answer 21 plus 51 plus 73 plus 35

Help! Il give you brainlest

Answers

with what ?? there’s no attachment

Answer:

What?  there is no question here

Step-by-step explanation:

What type of transformation has occurred from f(x) to g(x) on the graph below? (please help ASAP will give brainliest!!)

Rotation

None of these

Reflection

Translation

Answers

Answer:

defenitely not reflection im thinking either a or b leaning more towards a tho

Step-by-step explanation:

Answer:

ROTATION

Step-by-step explanation:

I GOT IT CORRECT ON TEST :))

(x^10)^2/x4 simplify ​

Answers

Answer:

x^16

Step-by-step explanation:

=> x^20 / x^4

=> x ^ 20-4

=> x^16

Please mark my answer as the brainliest for further answers :)

PLEASEPLEASE ANSWER

and if i get any more bots answering with links im gonna cry ive put this question 5 times

Answers

Answer:

x = 7

Step-by-step explanation:

A triangle's total interior angle measurement will equal 180°.

Set all measurements equal to 180:

(82) + (9x - 6) + (6x - 1) = 180

Simplify. Combine like terms:

(82 - 6 - 1) + (9x + 6x) = 180

(82 - 7) + (15x) = 180

(75) + 15x = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, Subtract 75 from both sides of the equation:

15x + 75 = 180

15x + 75 (-75) = 180 (-75)

15x = 180 - 75

15x = 105

Next, divide 15 from both sides of the equation:

(15x)/15 = (105)/15

x = 105/15

x = 7

7 is your value for x.

~

Joseph bought a fish tank shaped like a rectangular prism with the dimensions shown below. What is the area in square inches of the shaded top of the rectangular prism?

Answers

Answer:

The surface area is 310 square inches

Step-by-step explanation:

Given [Missing dimensions]

[tex]L = 5in[/tex] -- Length

[tex]W = 10in[/tex] -- Width

[tex]H = 7in[/tex] -- Height

Required

Determine the surface area

The surface area (A) of a rectangular prism is:

[tex]A = 2(LW + LH + HW)[/tex]

[tex]A = 2*(5*10 + 5*7 + 7*10)[/tex]

[tex]A = 310in^2[/tex]

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