How do you find the vertical and horizontal asymptotes of a function?

Answers

Answer 1

The vertical asymptotes can be simply found by equating the denominator of a function to zero and solving for x, but the vertical asymptotes requires consideration of the highest degrees of x in numerator and denominator.

What is veritcal asymptote?

A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. Because it appears at an x-value outside of the function's scope, the graph can never cross it. There may be several vertical asymptotes for a given function.

What is horizontal asymptote?

A graph's horizontal asymptote is a horizontal line with the equation y = b, where the graph moves closer to the line as the inputs go closer to 0 or -1.

Find the x values where the function is undef for the purpose of determining a function's vertical asymptotes. Consider the degree of the numerator and the degree of the denominator while looking for a function's horizontal asymptotes. The horizontal asymptote is y = 0 if the degree of the numerator is smaller than the degree of the denominator. There is no horizontal asymptote if the degree of the numerator is higher than the degree of the denominator. The horizontal asymptote is y = the coefficient of the highest-degree term in the numerator divided by the coefficient of the highest-degree term in the denominator if the degree of the numerator and denominator are equal.

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Related Questions

When asked to rewrite the expression (x3 + 2x? – x)-(-x3 + 2x2 + 6), Denise made a mistake. She did not get the correct answer, 2x3 -x-6. Identify where she
made her made her mistake.
Your answer
She started with the original problem: (x3 + 2x2 - x)-(-x3 + 2x2 + 6)
o She rewrote the problem without parentheses: x3+ 2x2 - x + x3 – 2x2 +6
She rearranged the terms to put the like terms together: x3+ x3 + 2x2 – 2x2-x+6
She combined like terms to get a simplified answer: 2x3 - x + 6

Answers

Answer:

She rewrote the problem without parentheses: x3+ 2x2 - x + x3 – 2x2 +6

Step-by-step explanation:

It looks like she didn't fully distribute the -

(x3 + 2x2 - x)-(-x3 + 2x2 + 6) :Original

x3+ 2x2 - x + x3 – 2x2 +6 :Changed

~

(x3 + 2x2 - x)-(-x3 + 2x2 + 6)

x3 + 2x2 - x + x3 - 2x2 - 6

x3 + x3 + 2x2 - 2x2 -x - 6

2x3-x-6

I hope this helps ^-^

PLS HELP. INSANELY URGENT. QUESTION IN PICTURE

Answers

Answer:

Difference of 15,180,495 feet³

Step-by-step explanation:

Red pyramid volume: 59300000 feet³

Pyramid of Khafre volume: 74400000 feet³

Subtract to get difference

74400000-59300000= 15100000

Nearest in answer choice is 15,180,495 so therefore it is the third choice.  

Which expression is equivalent to
-32 3/5?
O -8
O -3√32^5
O 1/3√32^5
O 1/8

Answers

Answer:

-8 is the final answer

Step-by-step explanation:

-(2⁵)^3/5

-2³

-8

-8 is the final answer.

if comlementary angles are adjacent they form a :

i will give 34 points

fast fast

Answers

Answer:

they would make a staright line or straight angle, which would be 180 degrees.

Brainliest?

Step-by-step explanation:

Ashley's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 62 liters. What are the possible Ashley could add water? Use t for the number of minutes. Write your answer as an inequality solved for t.​

Answers

Answer:

57 liters

Step-by-step explanation:

Answer

1.0/5

0

MrRoyal

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9K answers

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MISSING DETAILS

Yoko's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 57 liters. What are the possible numbers of minutes Yoko could add water?

Answer:

Minutes = 8 minutes

Step-by-step explanation:

Topic: Inequality

Given:

Available Size of water = 17 liters

Increment = 5 liters/minute

Size of water needed = At least 57 liters

Putting the above together, as have

17 + 5m > 57

where m represents total minutes and > represent at least

Solving the Inequality

5m > 57 - 17

5m > 40 ------ Divide through by 5

5m/5 > 40/5

m > 8

So, Yoko will need to add water for at least 8 minutes before she fills her tank to 57 liters.

Find the value of x please and fast!!

Answers

Answer:

B) 5

Step-by-step explanation:

Emma eats 5 bags of chips a week. How many bags of chips does she eat (on average) a day? A month? A year?

Answers

Answer:

5/7 ; 21 ; 260

Step-by-step explanation:

Given that:

Number of bag of chip eaten in a week = 5

Therefore, on average

Number of bags eaten per day will be :

Number of days per week = 7

Number of bags eaten per day= 5 /7 = 0.714 bags

Number of bags eaten per month :

Number of days in a month = 30

Number eaten or month = 5/7 * 30 = 21.42 bags = about 21 bags

Number of bags eaten per year :

Number of days in a year = 365 days

= 5/7 * 365

= 260.71

= about 260 bags per year.

4.What is the equation in point-slope form of the line passing through (3, 6) and (−2, 1)? (5 points)


a
y + 6 = 1(x + 3)

b
y + 1 = −1(x + 2)

c
y − 6 = −1(x + 3)

d
y − 6 = 1(x − 3)

Answers

Answer:

d

Step-by-step explanation:

im doing fast calculation

Someone plz help me giving brainliest T^T plz select (2)

Answers

Answer:

F.

Step-by-step explanation:

there are 36 tiles overall from where 4 are purple so

[tex]\frac{4}{36} =\frac{1}{9} =\frac{1}{3} *\frac{1}{3}[/tex]

Please help me NO LINKS
✌︎('ω'✌︎ )

Answers

Answer:

Use the Substitution method

The answer to the problem is x = 10, y = -1

Solve: x - 2 = x-8

{11}
{6, 11}
{}

Answers

The last one since there are no solutions

Answer:

11

Step-by-step explanation:

Equation is

[tex] \sqrt{x - 2)} = x - 8[/tex]

solve by

what is a discriminant? (maths definition)​

Answers

Discriminant:  in mathematics, a parameter of an object or system calculated as an aid to its classification or solution.

Answer: Discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2

Hope this helped!

Sending U you good luck!

Allie identifies the coordinates of point D as (3, 7). Explain her error and explain how to correctly identify the ordered pair.

Answers

Answer:

[tex]D = (7,3)[/tex]

Step-by-step explanation:

Given

[tex]D = (3,7)[/tex]

See attachment for graph

Required

Identify and correct the error

From the attached graph, the coordinate of D is at:

[tex]x = 7[/tex]

[tex]y = 3[/tex]

So:

Allie's mistake is that, she identifies x as y coordinate and y as the x coordinate.

So, the right coordinate is:

[tex]D = (7,3)[/tex]

15 tractors each working 8 hours a day take to take eight days to Plough a piece of land how many days will it take 24 tractors each working 10 hours a day to plough the same piece of land​

Answers

It will take 24 tractors, each working 10 hours a day, a total of 4 days to plough the same piece of land.

To determine how many days it will take 24 tractors, each working 10 hours a day, to plough the same piece of land, we can use the concept of man-hours.

Given that 15 tractors, each working 8 hours a day, took 8 days to complete the task, we can calculate the total man-hours required to plough the land.

Total man-hours = Number of tractors * Hours per tractor * Number of days

Total man-hours = 15 tractors * 8 hours/tractor * 8 days

Total man-hours = 960

Now, let's calculate the number of days required for 24 tractors, each working 10 hours a day, to complete the task.

Number of days = Total man-hours / (Number of tractors * Hours per tractor)

Number of days = 960 / (24 tractors * 10 hours/tractor)

Number of days = 960 / (240)

Number of days = 4

As a result, ploughing the same plot of land will require 24 tractors to labour for a total of 4 days at 10 hours per day each.

for such more question on hours

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If f(x) =x^4+5 then what is the remainder when f(x) is divided by x+5?

Answers

Answer:

630/x+5 (remainder over divisor)

HELP ILL GIVE U THE BRAINLIEST

Answers

Answer:

(0, 3 )

Step-by-step explanation:

To find the y- intercept , substitute x = 0 into f(x), that is

f(0) = 3 × [tex]4^{0}[/tex] [ note [tex]4^{0}[/tex] = 1 ]

      = 3 × 1

      = 3

y- intercept = (0, 3 )

The correct answers is (0,3)

Does the mean or median best describe a typical value in the data set shown?19, 18, 19, 18, 19, 19, 1, 19, 18, 19, 18

Answers

Answer:

Probably mean.

Step-by-step explanation:

The median is the middle number (in this case, 19) and the mean is the average of all the numbers

Divide: 1213 ÷ 9 = A)
134 R7
B)
134 R8
C)
135 R7. D)
135 R8

Answers

It’s A

1213 divided by 9 is equal to 134.777778

So it is 134 R7

But if it’s rounded to the nearest then it is C.

Position 3 Value of Term 8 20 Com ​

Answers

i dont know i need this one too

2
A swimming pool is in the shape of a rectangular prism with a horizontal cross-section 10 feet by 20 feet. The pool is 5 feet deep and filled to
capacity. Water has a density of approximately 60 pounds per cubic foot, or 8 pounds per gallon.
What is the approximate weight of water in the pool?

Answers

Answer:

The weight of the water in the pool is approximately 60,000 lb·f

Step-by-step explanation:

The details of the swimming pool are;

The dimensions of the rectangular cross-section of the swimming pool = 10 feet × 20 feet

The depth of the pool = 5 feet

The density of the water  in the pool = 60 pounds per cubic foot

From the question, we have;

The weight of the water in Pound force = W = The volume of water in the pool given in ft.³ × The density of water in the pool given in lb/ft.³ × Acceleration due to gravity, g

The volume of water in the pool = Cross-sectional area × Depth

∴ The volume of water in the pool = 10 ft. × 20 ft. × 5 ft. = 1,000 ft.³

Acceleration due to gravity, g ≈ 32.09 ft./s²

∴ W = 1,000 ft.³ × 60 lb/ft.³ × 32.09 ft./s² = 266,196.089 N

266,196.089 N ≈ 60,000 lb·f

The weight of the water in the pool ≈ 60,000 lb·f

How is the graph of y = 4x^2 - 9 different from
the graph of y = 4x^2 - 8?

Answers

Answer:

the first equation is one unit to the right of te left

Step-by-step explanation:

Logan works at a florist. He earns $300 per week plus $3 for each floral arrangement he delivers. The expression 300 + 3f gives the amount in dollars that Logan earns for delivering f floral arrangements.

How much will Logan earn if he delivers 40 floral arrangements in one week?

Answers

Answer:

420

Step-by-step explanation:

3 × 40 = 120

120 + 300 = 420

He will earn 420 in one week

Logan will earn $420.
300 + (3 x 40)
300 + 120
420

The strength of a rectangular beam varies jointly as its width and the square of its depth. If the strength of a beam 2 inches wide by 10 inches deep is 1000 pounds per square inch, what is the strength of a beam 4 inches wide and 8 inches deep?

Answers

Answer:

yes

Step-by-step explanation:

i know this

Plzz help will give Brainiest. Need it now plzz

Answers

Step-by-step explanation:

The solution in the photo above, I know it is not very clear sorry for that :)

I hope that is useful for you :)

What is the distance between (8, -3) and (4, -7)?
Choose 1 answer

Answers

Answer:

Option C √32 is correct

Step-by-step explanation:

Here,

x₁ = 8

x₂ = 4

y₁ = (-3)

y₂ = (-7)

Now,

By Using Distance Formula

D = √(x₂ - x₁)² + (y₂ - y₁)²

= √(4 - 8)² + [(-7) - (-3)]²

= √(-4)² + [(-7) + 3]²

= √16 + (-4)²

= √16 + 16

D = √32

Thus, The distance between (8, -3) and (4, -7) is √32

-TheUnknownScientist

Answer:

under root 32 is the right answer

What expression is equal to (5^4)²

Answers

Answer:

5^8

Step-by-step explanation:

multiply the exponents = 4x2 = 8

M∠E + m∠S=______° (plzzz help me )

Answers

Parellegram hope this helps

CAN SOMEONE PLS HELP WITH THESE WORD PROBLEMS PLSSS IVE BEEN STUCK HELP HELP HELP

Answers

Answer:

3. 76 Balls and 27 Bats

4. you try this

5. you try this

Step-by-step explanation:

Each problem follows the same approach to solve.

Setup 2 equations, one showing the total number and the other showing the total costs.

I'll work out problem 3 and you should be able to do the other two

L=the number of balls

T=the number of bats

equation 1:

L+T=100

equation 2:

L(4.50) + T(20.00) = 822

solve for T in equation 1:

T= 100-L

now substitute T in equation 2:

L(4.5) + 20(100-L) = 822.0

solve for L:

L= -1178/-15.5=76

T=100-76=24

I'll let you know if problems 4 and 5 are correct

Find the measure of angle STP.
Pleasee help!!

Answers

Answer:

105

Step-by-step explanation:

15x=7x+6+7x+1

15x=14x+7

x=7

15(7)=105

priya says that 1/3 x 1/3 x 1/3 x 1/3 = 4/3. do you agree with priya? explain or show your reasoning

Answers

No, priya is wrong. Multiplying a number by one is essentially multiplying it by nothing so by multiplying 1•1•1•1 we are multiplying one by itself so it is just 1 and since we are multiplying, we must multiply the denominators as well which is just 3^4 which is 81 so that leaves your answer being 1/81.
Mark brainliest if helped please :)
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