What is the best example of discontinuity?

Answers

Answer 1

The best example of discontinuity is a graph of a function with a "hole" or "jump" in it, where the value of the function suddenly changes without any gradual change.

Discontinuity occurs when a graph of a function has an abrupt change, either in the form of a "hole" or "jump" in it. In a graph of a continuous function, the values gradually change in a smooth manner. However, with a graph of a discontinuous function, the function suddenly changes without any gradual transition. This sudden change is often caused by a discontinuity in the domain or range of the function. For example, a discontinuity may occur where a function is undefined or has an undefined limit. Graphically, this is usually illustrated as a gap or jump in the graph of the function. This type of discontinuity is known as a removable discontinuity, since it can be removed by redefining the function at the point of discontinuity. Other types of discontinuity include infinite discontinuity, which occurs when the graph of a function approaches either positive or negative infinity, and jump discontinuity, which occurs when the graph of a function jumps from one value to another without any transition.

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Related Questions

\large f\left(x\right)=2\left(x+5\right)^2-7

Answers

Which word could you use to describe the author's purpose in an argument?

Convince

Describe

Entertain

Inform

Lin and Noah are solving the equation `7(x+2)=91`. Lin starts by using the distributive property. Noah starts by dividing each side by 7. Show what Lin's and Noah's full solution methods might look like.

HELPPP

Answers

Answer:

Step-by-step explanation:

Lin’s method

- multiply both x and 2 by  7

7x+14 = 91

- add -14 at both members

7x+14-14 = 91-14

7x = 77

- divide the two members by 7

x = 11

Noah’s method

- divide the two members by 7

x+2 = 13

- add -2 at both members

x+2-2 = 13-2

x = 11

Answer:

The solution is x=11

Step-by-step explanation:

The original equation is

7(x+2)=91

Lin uses the distributive property, which states that

a (x+y) = ax + ay

By applying the property to this case,

7(x+2)=91

7x+14=91

Then we subtract  14 on both sides:

7x+14 - 14 = 91-14

7x=77

Finally, we divide by 7 on both sides:

7x÷7 = 77÷7

x=11

Noah starts by dividing each side by 7, so he gets:

7(x+2)÷7 = 91÷7

x+2= 13

Then he can subtract +2 from both sides:

x+2-2 =13 - 2

x=11

So, they get the same result. The similarity between the two methods is that  they both divide by 7, while the difference is that Lin has to subtract 14, while Noah has to subtract 2.

what’s the equation of a line?

Answers

Answer:

1. y= 3x -10

2. y= -5x + 7

3. y= x -9

4. y= 2/3x- 6

5 y= -x + 2 1/2

HELP!!!!!!!! Question 1 (1 point)
What is the value of w to the nearest degree?
15
21
v
65
25
Ob
35
40
d
45

Answers

Answer: nearest degree is 40

Step-by-step explanation:

Kara has 10 books on a shelf and decides to move 3 of them to an empty shelf. In how many different ways can the empty shelf be filled?

Answers

The empty shelf can be filled in 120 ways

The total number of books is

[tex]n = 10[/tex]

The number of books to move is:

[tex]r = 3[/tex]

To fill the empty shelf with three books, we make use of the following combination formula

[tex]^{n}C_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^{10}C_3 = \frac{10!}{(10 - 3)!3!}[/tex]

Evaluate the expression

[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]

Expand

[tex]^{10}C_3 = \frac{10 \times 9 \times 8 \times 7!}{7! \times 3\times 2 \times 1}[/tex]

Cancel out the common factors

[tex]^{10}C_3 = \frac{10 \times 9 \times 8}{3\times 2 \times 1}[/tex]

Evaluate the products

[tex]^{10}C_3 = \frac{720}{6}[/tex]

Divide

[tex]^{10}C_3 = 120[/tex]

Hence, the empty shelf can be filled in 120 ways

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PLEASE HELP!!!! I’ll mark brainliest

Answers

2 I think it is will that’s what it says

Answer:

10

Step-by-step explanation:

h= -4

k= -3

plug in h and k

[tex]\frac{(-4*-3)-4}{2}+6[/tex]

[tex]\frac{(12)-4}{2} +6[/tex]

[tex]\frac{8}{2} +6[/tex]

4 + 6= 10

A student used f ( x ) = 5.00(1.012) x to show how the balance in a savings account will increase over time. What does the 5.00 represent?
A: The annual interest rate of the savings account
B: The interest the savings account earned for the first year
C: The starting balance of the savings account
D: The number of years the savings account has earned interest

Answers

Answer:

A student used f(x) = 5.00(1.012)* to show how the balance in a savings ... A student used f(x) = 5.00(1.012)* to show how the balance in a savings increase over time. What does the 5.00 represent? A The interest the savings account earned for the first year. B ... kamyawright is waiting for your help.

Step-by-step explanation:

HELP

Can some one help me with these 4 problems, I need to find the area, and con you pls explain how you got the answer so I can understand and practice.

Answers

Answer:

1. 380.13

2. 254.47

3. 254.47

4. 153.94

Step-by-step explanation:

Since its a hassle to explain how to solve all 4 problems I'll explain how to solve one of them

For example #1

To solve this:

Use formula A=πr2

Input the radius into the equation

A=π·11²

Multiply all the values

A= 380.13

16.BONUS:
A lamp produced a shadow of a man standing in the middle of a stage.
21° 19°
25 meters
How long is the shadow?
;

Answers

Answer: 11.38

Step-by-step explanation:

I just did this math nation question and that’s what they said the answer was

The solution is, Length of the shadow = 11.4 m.

What are trigonometric relations?

Trigonometry can be stated as the study of the relationships between the angles and the lengths of the sides of triangles.

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

Given the graph:

The length of the shadow = y - x.

• To find x:

tan 21 = x/25

so, we get,

x = 25 * tan 21

  =9.6m

• To find y:

tan 40 = y/25

so, we get,

y = 25* tan40

  = 21m

Length of the shadow:

length = 21 - 9.6 m

           = 11.4m

so, we get,

Length of the shadow = 11.4 m

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Please help me it’s due soon!!

Answers

Answer:

12√2

Step-by-step explanation:

It's 12√2 because the hypotenuse of the triangle is 12. that means for a^2 + b^2 = c^2, we get c^2 = 144. a and b are equal so the answer is 6√2.

Also, don't any links you see on this site, they are hackers

Practice for Triangle Ratios (Sides) Please Help!!

Answers

Answer:

hi

Step-by-step explanation:

i think 15 or 8

hope it helps

Dont scam me pplzzzzz

Answers

Answer:

Step-by-step explanation:

If 2p + 6a = $14

 

and 3p + 9a = $21

 

then the following would also be true:

 

1p + 3a = $7

 

If p = pear and a = apple, how much would each cost?  The unit prices can be determined by looking at the pattern. You can use multiplication to solve the problem.  

 

For example, 1p + 3a*2 = $7

 

p = $1/each

a = $2/each or $6 total

I hope this helps you out.

Answer:

the unit for pears and apples are : 35

Step-by-step explanation:

14 + 21 = 35

or it is 2 x 6 x 3 x 9 wich is : 324 i doubt thats the answer tho

in Joe's fish tank, there are 6 goldfish and 12 snails. How does the ratio 6:18 describe Joe's fish
tank?

Answers

Hey there!

The ratio 6:18 describes Joe's fish tank, certainly. But how?

Note that this ratio can be written as 6 to 18, 6/18, and 6 out of 18.

This ratio can show this: For every 6 goldfish in Joe's tank, there are 12 snails.

Great question!

Hope I helped, please feel free to comment below should you have any questions/comments/concerns!

The correct option is C.

Given that,

in Joe's fish tank, there are 6 goldfish and 12 snails.

Here 6:18 denotes that the number of goldfish to the total no of animals.

Here total no of animals could be

= 6 + 12

= 18

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11. Which could be the table of values that was used to graph the function of x shown below?

Answers

Answer:

D

Step-by-step explanation:

Here, we want to select the possible table of the given line

Let us look at the intercepts

On the x-axis, we have an intercept at x = 2

On the y-axis, we have an intercept at y = -4

This means that when y = 0, x = 2 and when x = 0, y = -4

Looking at the options, the table that supports this answer is the table of option D

The line plot below shows data on the total number of hours that each volunteer spent at a nature center one week. Which question cannot be answered using the data in the graph

Answers

Answer:

How many volunteers worked a total of 4 hours

Step-by-step explanation:

Its right i got a one hundred my test

Answer:

How many volunteers worked at a total of 4 hours?

Step-by-step explanation:

need some help rq....

Answers

Answer:

work will be explained in the explanation portion

1. x = 3

2. y = 5

3. x = 13

4. y = 2

5. c = 7

6. a = 34

7. unsure but -5/12

8. 16

Step-by-step explanation:

1. 11 - 8 = 3

2. 16 + 9 = 25      5 x 5 = 25

3. 9 + 4 = 13

4. 10 - 4 = 6          3 x 2 = 6

5. 45 - 3 = 42       6 x 7 = 42

6. 23 + 11 = 34

7. 2/3 = 8/12          1/4 = 3/12            8/12 - 3/12 = 5/12

8. 14 divided by 7/8 = 16 (use keep change flip)

HOPE THIS HELPS!! <33

Answer:

1.x=3

2.y=5

3.x=13

4.y=2

5.c=7

6.a=34

7.y=-5/12

8.w=16

Step-by-step explanation:

x+8=11

x=11-8

x=3

5y-9=16

5y=16+9

5y=25

y=25/5

y=5

x-4=9

x=9+4

x=13

3y+4=10

3y=10-4

3y=6

y=6/3

y=2

6c+3=45

6c=45-3

6c=42

c=42/6

c=7

11-a=-23

-a=-23-11

-a=-34

a=34

2/3+y=1/4

y=1/4-2/3

y=-5/12

7/8w=14

7w/8=14

7w=14×8

7w=112

w=112/7

w=16

Identify three pythagorean triples using the known triple 8, 15, 17. What does this mean?​

Answers

Answer:

yes

Step-by-step explanation:

8² + 15² = 17²

64 + 225 = 289

289 = 289

which is greater ? | -5| or 4

Answers

Answer:

4

Step-by-step explanation:

Answer:

|-5|

Step-by-step explanation:

|-5| = 5

5 > 4

|-5| > 4

Solve for for n. 10(n+4) = 63

Answers

Answer:

n=23/10

Step-by-step explanation:

10(n+4)=63

n+4=63/10

n=63/10-4

n=23/10

decimal form: 2.3

Which expression is equivalent to -4(2k - 6) - 4k

Answers

Answer:

Factor and Simplfy

12k+24

Answer:

-12k+24

Step-by-step explanation:

-4(2k-6)-4k

do distributive property

-8k+24-4k

simplify

-12k+24

I think this is what the question is asking

The workers at Cameron's Flower Shop are putting 1,323 bamboo flowers into vases for a party. Each vase must hold exactly 8 bamboo flowers. What is the total number of flowers the workers can fill completely

Answers

Answer: 165

Step-by-step explanation:

Given

The shop has 1323 bamboo flowers

Each vase can hold exactly 8 bamboo flowers

no of the vase(n) filled with 8 flowers are

[tex]\Rightarrow n=\dfrac{1323}{8}=165.375[/tex]

i.e. 165 is completely filled and 166th is partly filled

[tex]\Rightarrow 165\times 8=1320[/tex] i.e. 3 flowers are left after filling 165 vases completely.

Solve 3x2−3x=0 by factoring.

Answers

Answer:

3x(x-1) = 0

x= 1

Step-by-step explanation:

is 3x2 supposed to mean 3x^2 i dont know

‼️ PLEASE HELPPPPP ‼️

Answers

the radius should be 4.51

What is the domain and range of the following quadratic function?

Answers

Answer:

thats a scam ^

dont click the link ir search

Help me with 8,9,10 please I really need help with this!!! Just real answers please

Answers

Answer:

The measure of side CD is 18cm

The measure of side BD is 15+15= 30cm

The perimeter of triangle CDE is 15+15+18 = 48cm

1 point Two sides of a triangle have side lengths of 22 inches and 34 inches. What is the range of possible lengths for the third side? *​

Answers

Quien me ayuda nose nada

Solve for x

x^2 + x - 6 = 0

Answers

Answer:

X = 2 and -3

Step-by-step explanation:

I  hope this helps :)

The Thompson Family has a garden in their backyard. They take the produce each week to a local farmers market. Use the graph to answer question. What percent of the garden is tomatoes? Show work for full credit.

Answers

Answer: 20%

Step-by-step explanation:

The total # of plants is 30, so what you do is take the # of tomatoes over 30. (6/30) and then x/100 so the formula would be 6/30=x/100. Then you would cross multiply and solve! so your answer is 20%

I NEED HELP WITH MY MATH NOWWW PLSSS HELP ME

Answers

Answer:

no

Step-by-step explanation:

she still has to multiply by two because there are 2 each of the rectangles that she is calculating the area of. the correct formula would be 2(8*16+8*12+16*12)

Answer:

No.

Step-by-step explanation:

The surface area formula of a right rectangular prism is 2(wl * hl * hw). The height is 12, width is 8, and length is 16. (these sides don't matter, the area will always be 832.) Anyway, our dear Muna did all the steps right, except she has to multiply all that she did by 2. She forgot to do that part

A rectangular prism has a volume of 175 in'. The height of the prism is 7 in. The base is a square. What is the length of a side of the base?​ please help

Answers

Answer:

a=5cm

Step-by-step explanation:

V=B*H

You will get base if you do this:

B=V:H

B=175:7

B=25

I'm not so good with English, side is probably a,so:

Formula for base: B=a²

Then a=√B

a=√25

a=5cm

I hope this helps.

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