How do you find holes and asymptotes?

Answers

Answer 1

To find holes, look for places where the function is undefined. To find asymptotes, look for where the function approaches infinity or negative infinity. Additionally, look for places where the function has a vertical or horizontal line, as these are also potential asymptotes.

To find holes in a function, look for places where the function is undefined. This can occur when the denominator of a fraction is equal to zero, as the fraction becomes undefined. Additionally, look for places where the function is not continuous, as this can indicate a hole in the graph. To find asymptotes, look for places where the function approaches infinity or negative infinity. This can occur when the denominator of a fraction is equal to zero and the numerator is not. Additionally, look for places where the function has a vertical or horizontal line, as these can also indicate potential asymptotes. Asymptotes are also present when the degree of the numerator is higher than the degree of the denominator. By looking for these areas, you can identify potential holes and asymptotes in a function.

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Related Questions

Meljer is selling a 9.25 oz bag of Doritos for $3.50. What is the cost per ounce of Doritos? Round your answer to the nearest penny (hundredths of a dollar).

Answers

Answer:

0.38

Step-by-step explanation:

We will use ratios:

[tex]\frac{9.25}{3.5} =\frac{1}{x} \\\\9.25x=3.5\\x=0.38[/tex]

Under her cell phone plan, Lily pays a flat cost of $40 per month and $4 per
gigabyte. She wants to keep her bill under $60 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Lily
can use while staying within her budget.

Answers

Answer: x < 5

Step-by-step explanation: 4x + 40 < 60

what is the discriminant of the polynomial below 2x^2+5x-8
A. 89
B. -39
C. 31
D. -59

Answers

Answer:

Hi! The answer to your question is A. 89

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Which of the following is a trinomial with a constant term ?

Answers

It’s A because a trinomios has three terms and the last digit 12 doesn’t change unlike 2y which changes with every input of y.

Answer:

A

Step-by-step explanation:

just took the test

prove this qsn plzz and fast​

Answers

Step-by-step explanation:

Let use the first of the medians. Medians AX.

Median AX is the midpoint of BC so our median is

[tex] \frac{1}{2} (b + c) - a[/tex]

Let use the second median.

Median BY is the midpoint of AC so our median is

[tex] \frac{1}{2} (a + c) - b[/tex]

Let use the final median.

Median CZ is the midpoint of AB so our median is

[tex] \frac{1}{2} (a + b) - c[/tex]

Now add all them up

[tex] \frac{1}{2} (b + c ) - a + \frac{1}{2} (a + c) - b + \frac{1}{2} (a + b) - c[/tex]

[tex] \frac{1}{2} b + \frac{1}{2} c - a + \frac{1}{2} a + \frac{1}{2} c - b + \frac{1}{2}a + \frac{1}{2} b - c[/tex]

Add like terms.

[tex] \frac{1}{2} b + \frac{1}{2} b - b = 0[/tex]

[tex] \frac{1}{2} a + \frac{1}{2} a - a = 0[/tex]

[tex] \frac{1}{2} c + \frac{1}{2} c - c = 0[/tex]

[tex]0 + 0 + 0 = 0[/tex]

So

AX+BY+CZ=0

this is old work i forget how to do it

Answers

Answer:

1.101, 1.001, and 0.113

Step-by-step explanation:

the first on is the highest

plz leave a like and brainlest!! i need 10 to ask a quistion!!!

Answer:

               Tenths place is a zero

               ↓

0.113       1.001        1.101

One's place is a zero

The sum of -9 and 18/2

Answers

Answer:

0

Step-by-step explanation:

Sum means addition so:

-9 + 18/2

(18/2 = 9)

-9 + 9

0

Answer: 0

Step-by-step explanation: The answer I got was 0. I'm assuming that 18/2 is 18 divided by 2. 18 divided by 2 is 9 and if you add a positive and a negative its like subtracting. 9-9=0 so the answer is 0.

Fill in the table using this function rule.
y = -5x+1
Fill out the y values

Answers

a) -5(-1)+1
y=6
b) -5(0)+1
y=1
c)-5(1)+1
y=-4
d)-5(2)+1
y=-9

PLEASE ANSWER NUMBER 4 NO BS PLEASE HELP ME I WILL GIVE BRAINLIEST ANSWER

Answers

Answer:

A'(1,-2)

L'(-3,-5)

T'(3,-1)

Reflection:

A'(-1,-2)

L'(3,-5)

T'(-3,-1)

Step-by-step explanation:

Find the total length of rope that is brought on the trip.
A. 25 3 4 yards
B. 29 3 4 yards
C. 33 3 4 yards
D. 37 3 4 yards

Answers

i have the quiz before and the answer is D: 37 3/4 yards

:)

Hi! Please help on this question (you have to use the Pythagorean theorem method) and explain the steps *giving brainliest*

Answers

Answer:

The diagonal length is 50.

Step-by-step explanation:

Square the lengths of the legs:  (30 yd)^2 + (40 yd)^2 and add these squares together.  Taking the square root of this sum produces the length of the diagonal:  d = √(900 + 1600) = √2500 = 50.  

The diagonal length is 50.

what is the circumference of circle P shown below ​

Answers

Answer:

8π units

Step-by-step explanation:

The circumference of a circle is calculated by using the following formula

2 × r × π (r: radius)

2 × 4 × π  = 8π

Find the circumference of the circle below. Use 3.14

Answers

Answer:

b

Step-by-step explanation:

C=2πr=2·π·22 =138.16cm

A pretzel maker was interested in knowing the number of pretzels in each bag is sold. The results of the research are shown in the box and whisker plot. What is the range in the number of pretzels? Please help

Answers

Answer:

23 pretzels

Step-by-step explanation:

The range value is obtained by taken the difference between the maximum and minimum values ;

The range = maximum - minimum

From the box and whisker plot attached ; the maximum value = 68

Minimum value = 45

Hence, the range in the number of pretzels :

68 - 45 = 23

Answer:

22

Step-by-step explanation:

Subtract the minimum (44) and the maximum (66) the answer to this question is 22

sam has eight shells and thandeka has 12 shells .what is the ratio ,in simplest form ,of Sam's shells to thandeka's shells?
[tex]576 \div 12 \\ \ \: = [/tex]

Answers

Answer:

I think that's the answer

Ratios are used to re;ate quantities of different measurements

The ratio of Sam's shells to thandeka's shells is 2:3

The quantity is given as:

Sam = 8 shells

Thandeka = 12 shells

To represent the given parameters as ratio, we have:

Ratio = Sam : Thandeka

So, we have:

Ratio = 8 : 12

Divide by 4

Ratio = 2 : 3

Hence, the ratio of Sam's shells to thandeka's shells is 2:3

Read more about ratios at:

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Please Help With Math Questions, I keep getting people with wrong answers answering. SO please oh please help me if you know the answers

Answers

Answer:

which question that you want

Jon is buying gas for his car. The cost of gas varies directly with the number of gallons of gas. If
he pays $8.75 for 5 gallons of gas, how much would it cost for 32 gallons?

Answers

Answer:

56 gallons of gas

Step-by-step explanation:

Jon paid $8.75 for 5 gallons.

So how much does 1 gallon cost?

=> 5 gallons = $8.75

=> 5/5 gallons = $8.75/5

=> 1 gallon = $1.75

So how much does 32 gallons cost?

=> 32 gallons = 32 * 1.75 = $56

Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.

Complete the following. Show all work for calculations.

List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?

ill give 40 points and brainlysest please i really need this please

Answers

Answer:

541/2 square in I hope this helps

Step-by-step explanation:

i hope this helps if it does can i get brainlists

Answer:

Rectangular prism

I chose a box of cereal.

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

 Describe the shape of the cross-section when the box is cut parallel to the base.

The shape of the cross-section would be a rectangle in dimensions.

20 cm x 8 cm

Part 3)

What is the surface area of the box? 

surface area=2*area of the base + perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box =[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5) 

What is the volume of the box?

volume of the box = L*W*H 20*8*32-5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6) 

What is the volume of the box if it is scaled down by a factor of 1/10?

we know that

the volume of the smaller box =[scale factor]³volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box =[1/10]³*5,120 5.12 cm³

the answer part 6) is

5.12 cm³

The length is 6 in., the width is 2 in., and the height is 16 in.

Mhanifa can you please help? I need this done asap and i will mark brainliest!

Answers

Answer:

#4

Exterior angles of a polygon sum to 360

94 + 56 + 4.5x + x + 1.5x = 360150 + 7x = 3607x = 210x = 30

#5

Sum of interior angles of a pentagon is:

(5 - 2)*180 = 540

Sum of interior angles of a given pentagon:

72 + 3x + 89 + 99 + 2x = 5405x + 260 = 5405x = 280x = 280/5x = 56

What is the area of the figure?
No links, those are obvious scams.

Answers

Area of shape is 24 cm^2

Can someone help with 6,7,8,9?

Answers

Answer:

What are the 4 questions, because the file does not work?

Step-by-step explanation:


A quality control expert at a drink bottling factory took a random sample of 9 bottles from a
production run of over 1,000 bottles and measured the amount of liquid in each bottle in the
sample. The sample data were roughly symmetric with a mean of 505 mL and a standard
deviation of 6 mL.
Based on this sample, which of the following is a 95% confidence interval for the mean
amount of liquid per bottle (in mL) in this production run?

Answers

Answer: It's in the screenshot

Step-by-step explanation:

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 9 - 1 = 8 df, is t = 2.306.

The other parameters are given as follows:

[tex]\overline{x} = 505, s = 6, n = 9[/tex]

Hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 505 - 2.306\frac{6}{\sqrt{9}} = 500.39[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 505 + 2.306\frac{6}{\sqrt{9}} = 509.61[/tex]

The 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).

More can be learned about the t-distribution at https://brainly.com/question/16162795

If point P, located at (6, -2), is rotated 270
counterclockwise about the origin, what
are the coordinates of its image, P'?
A. (6,2)
B. (2,6)
C. (-2,-6)
D. (-2,6)
Help!!!!!!!!!

Answers

Answer:

hey i think it is -2,-6

Step-by-step explanation:

Question 4 (1 point)
The image shows quadrilateral ABCD.
Find the area of ABCD. Explain or show your reasoning.

Answers

Answer:

25

Step-by-step explanation:

Using the Pythagorean Theorem, we can find the side length of each side.

a^2 + b^2 = c^2

=> 3^2 + 4^2 = x^2

=> 9 + 16 = x^2

=> x = 5

By applying the same formula for each side, we will get that each side is 5 units.

So, the area = 5*5 = 25

The quadrilateral is a square and the area of square is 25 square units.

What is a quadrilateral?

A quadrilateral is 2-dimensional geometric closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points.

For the given situation,

The quadrilateral ABCD has points A(0,4), B(3,0), C(7,3), D(4,7).

The distance these points can be found by

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

AB = [tex]d=\sqrt{(3-0)^{2}+(0-4)^{2} }[/tex]

⇒ [tex]AB = \sqrt{3^{2}+4^{2} }[/tex]

⇒ [tex]AB=\sqrt{9+16}[/tex]

⇒ [tex]AB=\sqrt{25}[/tex]

⇒ [tex]AB=5[/tex]

BC = [tex]d=\sqrt{(7-3)^{2}+(3-0)^{2} }[/tex]

⇒ [tex]BC=\sqrt{4^{2}+3^{2} }[/tex]

⇒ [tex]BC=5[/tex]

CD = [tex]d=\sqrt{(4-7)^{2}+(7-3)^{2} }[/tex]

⇒ [tex]CD=\sqrt{(-3)^{2} +4^{2} }[/tex]

⇒ [tex]CD=5[/tex]

DA = [tex]d=\sqrt{(4-0)^{2}+(7-4)^{2} }[/tex]

⇒ [tex]DA=\sqrt{4^{2}+3^{2} }[/tex]

⇒ [tex]DA=5[/tex]

Since AB = BC = CD = DA, the quadrilateral is a square.

The formula of area of quadrilateral is

[tex]A=(side)^{2}[/tex]

⇒ [tex]A=5^{2}[/tex]

⇒ [tex]A=25[/tex]

Hence  we can conclude that the quadrilateral is a square and the area of square is 25 square units.

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Urgent help needed
please solve any one of these

Answers

28. D
40. 1/4
I’m not sure about the rest

Find the slope of the line.
Will give brainiest if correct.

Answers

Answer:

1,2

Step-by-step explanation:

Answer:

The slope of the line is (2)

Step-by-step explanation:

Good luck ^_^


3. Determine the lateral and total surface
area of the pyramid.

Answers

I think it’s is 12865

The dollar store buys a hat for $0.80. Then they mark up the price by 20%.
How much will they sell the hat for?

Answers

Answer:

$0.96

Step-by-step explanation:

20% of 0.80 is 0.16

0.80 + 0.16 = 0.96

Answer:

$0.96

Step-by-step explanation:

Multiply 0.80 times 0.2

0.80 x 0.2=0.16

Then add up 0.16 and 0.80 to get your answer

0.80 + 0.16=0.96

Hope it helps

need help
problem/question in image below ​

Answers

Answer:

Option A would be the correct answer

I don't have an explanation to type but you can trust me :)

Please mark as brainliest for further answers :)

124−−−√? to the nearest number

Answers

Answer:

11

124√= 11.135

I rounded it to the nearest number, 11

plz mark me as brainliest.

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