The graph of a rational function can have a vertical asymptote, a horizontal asymptote and a slant asymptote. True or false

Answers

Answer 1
Answer: false

A graph can have both a vertical and a slant asymptote, but it CANNOT have both a horizontal and slant asymptote. You draw a slant asymptote on the graph by putting a dashed horizontal (left and right) line going through y = mx + b

Hope this helps
Answer 2

9514 1404 393

Answer:

  True (or False--see comment)

Step-by-step explanation:

No restrictions were placed on the nature of the rational function, so it is possible to create one that has all three kinds of asymptotes.

The attached graph shows that, along with the rational function whose graph it is. The function's asymptotes are ...

horizontal asymptote: y = 0vertical asymptote: x = -4slant asymptote: y = x -4

_____

Additional comment

Our example function makes use of an exponential function. While that can be represented as a polynomial of infinite degree, it would usually not be considered a polynomial. Most authors define a rational function to be the ratio of polynomials.

A ratio of polynomials of finite degree cannot have all three kinds of asymptotes. It can have a vertical asymptote with either a horizontal or slant asymptote, but cannot have both a horizontal and a slant asymptote. The asymptote function is the quotient from the division of the numerator polynomial by the denominator polynomial. Any remainder from that division will necessarily tend to zero as the independent variable gets large.

The Graph Of A Rational Function Can Have A Vertical Asymptote, A Horizontal Asymptote And A Slant Asymptote.

Related Questions

Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat fee of $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling. Write an inequality that represents the total cost of Ben's birthday for p people given his budget. Use your inequality to solve for how many people Ben can pay for (including himself) while staying within the limitations of his budget? *

Answers

Answer:

He can pay for 5 friends plus himself while staying within the budget.

Step-by-step explanation:

No parents are allowed in.

45 + 5.5p = 80    80-45=35   5.5p = 35   35/5.5 = 6.4

So he can pay for himself plus 5 people, and probably a drink.

Hope this helps!

how do I do #2 ?
do i do y = 3(5) - 4 or something else ? if so explain please

Answers

yes you would do a. y =(5) -4 b. y=50-2(5)^2 and c. y= 2^5

what is the surface area of this design?

Answers

Answer:

hhieiiwhwu thanks sa points iaiajaowowiwjwj

Step-by-step explanation:

sjsjsis99wo2jn2

hwiwiwiwjnwjw

Need help ASAP ?!!!!! 50pointsss

Answers

Hi there!

To find f(-100), substitute in -100 for the x in the function.

f(x) = x/50

Plug in -100 for x:

f(-100) = -100/50

Evaluate:

f(-100) = -2

-2 is the correct answer

Solve the equation for a. 10= 1/5a+2

Answers

Answer:

it is 2.35

Step-by-step explanation:

a=0.025 this should be your answer

Solve:
6a=2(8a-[6a+(4a-5)])+4
1: 3/5
2: -7/5
3: 7/5
4: -3/5
Please show me how?

Answers

Answer:  [tex]\frac{7}{5}[/tex]

Step-by-step explanation:

[tex]6a=2(8a-(6a+4a-5))+4[/tex]

[tex]6a=2(8a-(10a-5))+4[/tex]

[tex]6a=2(8a-10a+5)+4[/tex]

[tex]6a=2(-2a+5)+4[/tex]

[tex]6a=-4a+10+4[/tex]

[tex]6a=-4a+14[/tex]

[tex]6a+4a=14[/tex]

[tex]10a=14[/tex]

[tex]a=\frac{7}{5}[/tex]

please give me a brainliest answer

what is the answer to 56,763 rounding to the nearest thousand

Answers

Answer:

60000

Step-by-step explanation:

56763 so you're going to take that number and you're going to run it to the nearest thousands by doing that you're going to take the six and six is either closest to zero or 10 and it is closer to 10 which would be your answer so you're going to add these zero replacing the six seven six and three in the equation and making me five of six by adding the one from the number 10 if you have any other questions text me if that doesn't make sense

the answer is 57,000 !!

explanation: in 56,763, 6 is in the thousands place. next to in the hundreds place is a 7, so you’d round 6 up to 7 to get 57,000 because 7 is greater than 5 :)

What is (5⁴) (5³) simplified

Answers

Answer:

5^7 or 78125

Step-by-step explanation:

Please answer this math problem... I will mark you brainliest

Answers

You would use point slope form
y+1=-7(x-4)
y=-7x+27

3. (14 pts) Divide using either synthetic division or long division. Show how you got your
answer
(3x3 + 4x2 – 2+ 7) + (x + 2)

Answers

I hope that is right

Divident = Divisior x Quotient + Remainder

(3x³ + 4x² - 2 + 7)  = (x + 2) x (3x² - 2x) + (4x - 5)

(3x³ + 4x² - 2 + 7)  =  (3x³ + 4x² - 2 + 7)

What is division?

A division is a process of splitting a specific amount into equal parts. 

We have,

(3x³ + 4x² - 2 + 7) ÷ (x + 2)

We will divide using the long division method.

Divident = Divisior x Quotient + Remainder

Divident = (3x³ + 4x² - 2 + 7)

Divisor = x + 2

We will find the quotient and the remainder.

  x + 2 ) 3x³ + 4x² - 2 + 7 ( 3x² - 2x

             3x³ + 6x²                   [ sign is changed, 3x³ = -3x³ and 6x² = -6x²]

                    - 2x² - 5

                   - 2x² - 4x             [ sign is changed, -2x² = 2x² and -4x = 4x ]

                            4x - 5

Quotient = 3x² - 2x

Remainder = 4x - 5

Thus,

Divident = Divisior x Quotient + Remainder

(3x³ + 4x² - 2 + 7)  = (x + 2) x (3x² - 2x) + (4x - 5)

(3x³ + 4x² - 2 + 7)  =  (3x³ + 4x² - 2 + 7)

Learn more about division here:

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What is the cosine ratio of angle XZW?

Answers

XW=12

[tex]\\ \sf\longmapsto tan60=\dfrac{WZ}{XW}[/tex]

[tex]\\ \sf\longmapsto \sqrt{3}=\dfrac{WZ}{12}[/tex]

[tex]\\ \sf\longmapsto WZ=12√3[/tex]

[tex]\\ \sf\longmapsto WZ=20.78[/tex]

Now

[tex]\\ \sf\longmapsto XZ^2=20.78^2+12^2[/tex]

[tex]\\ \sf\longmapsto XZ^2=431.8+144[/tex]

[tex]\\ \sf\longmapsto XZ^2=575.8[/tex]

[tex]\\ \sf\longmapsto XZ\approx 24[/tex]

Now

[tex]\\ \sf\longmapsto cos\Theta=\dfrac{XW}{XZ}[/tex]

[tex]\\ \sf\longmapsto cos\Theta=\dfrac{12}{24}[/tex]

[tex]\\ \sf\longmapsto cos\Theta=\dfrac{1}{2}[/tex]

Option C

The value of the cosine for the given triangle XZW will be ( 12 / 24 ). the correct option is C.

What are trigonometric functions?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively utilized in various geosciences, including navigation, and solid mechanics.

Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.

The cosine ratio will be calculated by first calculating the perpendicular WZ.

WZ = 12 x tan60

WZ = 12 x √3

WZ = 12√3

Then calculate the hypotenuse of the triangle.

XZ² = 20.78² + 12²

XZ² = 430+ 144

XZ² = 574

XZ = 24

The cosine ratio will be calculated as:-

cosФ = Base / hypotenuse = 12 / 24.

Therefore, the value of the cosine for the given triangle XZW will be ( 12 / 24 ). the correct option is C.

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If m A) m B) m C) m D ) m

Answers

m of angle FEG is 55 degrees and HEG is 125 degrees . (It is the first choice )

g(x)=5x g(x)=15 what is the value of x

Answers

Answer:

x = 75

Step-by-step explanation:

[tex]\sf{ x=3}[/tex]

Step-by-step explanation:

According to the question,

g(X)=5x ------------------------(eq-i)

g(X)=15 -------------------------(eq-2)

By comparison the two following equation

[tex]5x=15\\\\x=\dfrac{15}{5}\\\\x=3[/tex]

[tex]\sf 6x+2=-10[/tex]

Answers

Answer:

x=-2

Step by step explanation:

Step by step explanation:Subtract 2 from both sides:

6x + 2 - 2 = - 10 - 2

Simplify

6x = - 10 - 2

Simplify the arithmetic:

6x = - 12

Then Isolate x:

6x = - 12

Divide both sides by 6:

(6x)/6 = - 12/6

Simplify the fraction:

x = - 12/6

Find the greatest common factor of the numerator and denominator:

x = (- 2 × 6)/(1 ×6)

Factor out and cancel the greatest common factor:

x = - 2

Therefore,x=-2

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Here we go again ~

Value of x is :

[tex] - 2[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

let's solve for x :

[tex]6x + 2 = - 10[/tex]

[tex]6x = - 10 - 2[/tex]

[tex]6x = - 12[/tex]

[tex]x = - 12 \div 6[/tex]

[tex]x = - 2[/tex]

3 irrational numbers between 15 and 17​

Answers

Answer:

1. 15.333333

2.17.284392842389...

3.16 1/3

Step-by-step explanation:

Hope it helps

The three irrational numbers between 15 and 17 can be written as [tex]$\sqrt{231.44}\\[/tex], [tex]$\sqrt{244.57}\\[/tex], [tex]$\sqrt{277.67}\\[/tex].

What are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction {p/q} for any integers {p} and {q}.

Given are irrational numbers between 15 and 17​.

Now, we can write -

A = 15² = 15 x 15 = 225

{A} = 225

B = 17² = 17 x 17 = 289

{B} = 289

The irrational numbers between 15 and 17 can be written as the square root of numbers between 225 and 289. So, we can write -

[tex]$\sqrt{231.44}\\[/tex]

[tex]$\sqrt{244.57}\\[/tex]

[tex]$\sqrt{277.67}\\[/tex]

Therefore, the three irrational numbers between 15 and 17 can be written as [tex]$\sqrt{231.44}\\[/tex], [tex]$\sqrt{244.57}\\[/tex], [tex]$\sqrt{277.67}\\[/tex].

To solve more questions on rational numbers, visit the link below-

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Find the angle
25 points for you plus a brainliest, thanks and 5 star

Answers

Answer:

? =64.62306

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent side / hypotenuse

cos ? = 3/7

Taking the inverse cos of each side

cos ^-1 ( cos ? ) = cos ^-1 (3/7)

? =64.62306

Answer:

The angle is approximately 23°

Step-by-step explanation:

let the angle be ∆

using trigonometrical identity,

tan ∆=3/7

tan∆=0.4286

∆=tan^-1(0.4286)

∆=23.19°

(2x+6)/5=4x−3 sove and use 5 algebric proofs of equality

Answers

x=−11/2=−5/2 1 =−5.5

Given endpoint F(-4,5) and midpoint M(7.-9), what is the coordinates of ENDPOINT G? If needed, show your answer in the form of a decimal. Round to

the nearest tenth.

FORMULAS

distance = V(x2 – x1)2 + (y2 - yı)2

midpoint = (

O G(18.-23)

O G(13, 18)

O G(11, 4)

O G(1.5,-2)

Answers

Answer:

(18,23)

Step-by-step explanation:

Add distances:

7+4+7 = 18

9+5+9 = 23

a baker is making cupcakes. he has 36 pounds of dough. each cupcake is made from ⅙ pound of dough. how many cupcakes can be made?

explain with answer​

Answers

Answer:

First you have to understand a one cupcake has 1/6 pound of dough.

Then to calculate the number of cupcakes, divide the total 36 pounds of dough by a 1/6 pound.

36/(1/6)

= 36 ×(6/1)

= 216 cupcakes

Answer: 216 cupcakes can be made

Step-by-step explanation:

Given information

36 pounds of dough in total

⅙ pound of dough per cupcake

Set variables

Let x be the number of cupcakes that could be made

Set equations from given information

Total = unit × number

36 = (1/6) × x

Multiply 6 on both sides to isolate [x] variable

36 × 6 = (1/6) × x × 6

216 = 1 × x

[tex]\boxed{x=216}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Describe the equation 2x + 15 = 23 + x in words.

Group of answer choices

Double the sum of a number and 15. The result is the same as the product of 23 and the number.

Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.

Double a number and add 15. The result is the same as the sum of 23 and the number.

Double a number and add 15. The result is the same as the product of 23 and the number.

Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.

Double the sum of a number and 15. The result is the same as the sum of 23 and the number.

Answers

Answer:

x = 8

x = 21/14

x = 8

x = 15/21

x = 1/4

x = 7

Step-by-step explanation:

(For all instances of number, let it be x)

Double the sum of a number and 15. The result is the same as the product of 23 and the number.

2x + 15 = 23 + x

2x - x + 15 = 23 + x - x

x + 15 = 23

x + 15 - 15 = 23 - 15

x = 8

Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.

15x + 2 = 23 + x

14x + 2 = 23

14x = 21

x = 21/14

Double a number and add 15. The result is the same as the sum of 23 and the number.

2x + 15 = 23 + x

x + 15 = 23

x = 8

Double a number and add 15. The result is the same as the product of 23 and the number. (This time we will move the x to the other side as the right side has a larger x than the left side)

2x + 15 = 23x

15 = 21x

x = 15/21

Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.

15x + 2 = 23x

2 = 8x

2/8 = x

x = 1/4

Double the sum of a number and 15. The result is the same as the sum of 23 and the number.

2(x + 15) = 23 + x

2x + 30 = 23 + x

x + 30 = 23

x = 7

An input-output machine generates the information below

a- Find the values to fill in the table for variables a and b
b- write up a rule that describes the relationship between the input output.
c- what is the value of the output and input in 20?
d- what is the value of the input when the output is 77.

Answers

Using a linear function, we have that:

a) The values are: a = 11 and b = 5.

b) The rule is:

[tex]y = 3x + 2[/tex]

c) The value of the output is 62.

d) The value of the input is 25.

The equation of a linear function is given by:

[tex]y = mx + b[/tex]

In which

m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.

First, we are going to solve item b to find the rule, then we solve other items.

Item b:

In the table, we have two points: (1,5) and (2,8).

The slope is given by change in y divided by change in x, thus:

[tex]m = \frac{8 - 5}{2 - 1} = 3[/tex]

Then

[tex]y = 3x + b[/tex]

Point (1,5) means that when [tex]x = 1, y = 5[/tex], and this is used to find b.

[tex]5 = 3(1) + b[/tex]

[tex]b = 2[/tex]

Thus, the rule is:

[tex]y = 3x + 2[/tex]

Item a:

a is the value of y when x = 3, thus:

[tex]y = a = 3(3) + 2 = 11[/tex]

Thus, a = 11.

b is the value of x when y = 17, thus:

[tex]3b + 2 = 17[/tex]

[tex]3b = 15[/tex]

[tex]b = 5[/tex]

The values are: a = 11 and b = 5.

Item c:

The value of the output is y when x = 20, thus:

[tex]y = 3(20) + 2 = 60 + 2 = 62[/tex]

Thus, the value of the output is 62.

Item d:

The value of the input is x when y = 77, thus:

[tex]3x + 2 = 77[/tex]

[tex]3x = 75[/tex]

[tex]x = \frac{75}{3}[/tex]

[tex]x = 25[/tex]

The value of the input is 25.

A similar problem is given at https://brainly.com/question/25004958

ILL MARK BRAINLY PLEASE HELP A contractor spent $740 at a hardware store on wooden shingles and ceramic tiles. She bought the tiles for $20 per package and the shingles for $60 dollars a package. If she bought 5 more packages of tiles than shingles, how many packs of shingles did she buy?

Answers

Answer:

She bought 13 packages of shingles

mark brainliest:)

help asap please and thank you. true or false?

Answers

the answer is true
:)
True! Im pretty sure!

Isaac spent 1/3 of his monthly income
on rent 1/4 on food and 1/5 on clothes if he is left with 39,000.00.find(i)fraction on rent,food and clothes. (i)the fraction which is left.(iii)his monthly income. ​

Answers

Answer:

monthly income is 180000. sorry for bad handwriting

Step-by-step explanation:

fraction of food rent cloth : 1/5+1/4+1/3=47/60

fraction of leftover: 1-47/60= (60-47)/60 = 13/60

A=bh slove for b
jnbirnbiunrtortn

Answers

Answer:

b = A/h

Step-by-step explanation:

A = bh

Divide both sides by h:

A/h = bh/h

A/h = b

number in squence


5,20,10,30,15,40

and say how did you do it

Answers

Answer:

number next in the sequence = 20

Step-by-step explanation:

5, 20, 10, 30, 15, 40, (20) ---> (40 - 20 = 20)

+15 -10 +20 -15 +25 (-20) ---> (25  - 45 = -20)

  -25 +30 -35 +40 (-45)

simplify 2m2n4p3⋅2m4n2p2

Answers

Answer:

4m8n8p6

Step-by-step explanation:

MARKING BRAINLEIST IF YOUR ANSWER IS CORRECT!

Answers

Answer:

1 /5

Step-by-step explanation:

Use distributive property:
3(x-4)+2(x+5)

Answers

Answer:

Step-by-step explanation:

3(x - 4) + 2(x + 5) = 3*x - 3*4  + 2*x + 2*5

                          = 3x - 12 + 2x + 10

                          = 3x + 2x  - 12 + 10   {Combine like terms}

                          = 5x - 2

A plane travels at a constant speed. It takes 6 hours to travel 3,360 miles.



a. What is the plane’s speed in miles per hour?
mph



b. At this rate, how many miles can it travel in 10 hours?
miles

Answers

Answer:

A= 560mph, B=5,600miles in 10 hours

Step-by-step explanation:

If you divide 3,360 by 6 to get the mph for part a, you’ll then multiply that by 10 to get part b.

3,360 / 6= 560

560*10=5,600

Other Questions
please answer this!!! PLEASE HELPCompare -3 and 9. Which of the following is trueA. -3 < 9 and -3 < 9B. -3 = 9 and -3 < 9C. -3 > 9 and -3 < 9D. -3 > 9 and -3 > 9 PLEASE HELP WILL MARK BRAINLIEST TO BEST ANSWER If you are good with limits in calculus can you help me solve this problem please : Which term is -39 in the sequence 33,25,17,9,1,-7,... I need help on this asap please don't take the points if you do know the answer. Help pls its due tomorrow 50 points if you complete this reading the last thing then the second then the firstI'll give you a brainiest If you had excess chlorine, how many moles of aluminum chloride could be produced from 12.0g of aluminum what does this equal? show your work pls Directions: Read the short story below and answer the question."Eight Families From California Left Behind"In 2021 the U.S. decided to end its longest war and withdraw its soldiers from the country. Suddenly, however, the government fell and chaos gripped Kabul. In August, U.S. troops hurried to get Americans and allies out of the country, and the last U.S. soldier left on August 31. Yousef's wife and children were among eight families from El Cajon who were left behind. Yousef's family and several other families finally got out of Afghanistan. The Cajon Valley Union School District and their representative in Congress, Republican Darrell Issa, assisted them. Several of the families spoke to reporters last week. Yousef asked that only his first name be used in this story because he still has relatives in Afghanistan who could be at risk. The parents described running with their kids as gunfire whizzed overhead. One father said he was beaten by the Taliban. They said they were kept from getting to the airport by Taliban checkpoints.They said they are grateful to be back in the U.S., but that they worry about the family members unable to get out.Question: Why did Yousef only want to give his first name? pls help and I need more than one answer instead of one person pls A parallel plate air capacitor of value C, is charged to a potential V, betweenthe plates and +9, is charge on one plate. Separation between plates is d. Adielectric of dielectric constant K = 3 fills the space between the plates. Whichof these quantities will change and why. (i) capacitance (ii) charge (iii) po-tential difference and (iv) field density? pls help me with these questions Explain the basic principles of Taoism: when a bond breaks, what is true of the overall potential energy and kinetic energy of the electrons? EBIT of $2 million, total assets of $10 million, stockholders equity of $4 million, and pretax interest expense of 10 percent. What is AQ&Qs indifference level of EBIT? Select one: a. $2.0 million b. $1.78 million c. $1.0 million d. $1.5 million How many grams of water can be produced with 45.67 grams of ammonium? Which point is the image of B under the same translation? foods can be preserved in many ways by slowing or preventing bacterial growth. which of these methods should be least effective at inhibiting bacterial growth? French reading comprehension ASAP