What are the 5 discontinuities?

Answers

Answer 1

A removable discontinuity exists when a function is not defined at a certain point. An infinity discontinuity occurs when the function approaches infinity. A jump discontinuity occurs when the function has a finite jump in value at a certain point. An essential discontinuity exists when the limit of the function exists but the function is not defined at the point. A mixed discontinuity is a combination of the other discontinuities.

A removable discontinuity occurs when a function is not defined at a certain point. This means that the limit of the function as it approaches the point does not exist. However, if the function can be modified by adding or subtracting a constant to make the limit exist, then the discontinuity is removable. An example of this would be f(x) = 1/x, which is undefined at x = 0, but if we subtract 1 from both sides, the limit of f(x) as x approaches 0 is 0. An infinity discontinuity occurs when the function approaches infinity as it approaches a certain point. This means that the limit of the function as it approaches the point does not exist. An example of this would be f(x) = 1/x as x approaches 0, where the limit of f(x) is infinity. A jump discontinuity occurs when the function has a finite jump in value at a certain point. This means that the limit of the function from both sides of the point do exist, but they are not equal. An example of this would be f(x) = x + 1 for x >= 0 and f(x) = x for x < 0, where the function jumps from 0 to 1 at x = 0.An essential discontinuity exists when the limit of the function exists but the function is not defined at the point. An example of this would be f(x) = 1/x for x != 0, where the limit of f(x) as x approaches 0 is 0, but the function is not defined at x = 0. A mixed discontinuity is a combination of the other discontinuities. It occurs when the limit of the function as it approaches a certain point exists, but the value of the function at the point is undefined. An example of this would be f(x) = x^2 - 1 for x != 1, where the limit of f(x) as x approaches 1 is 0, but the function is undefined at x = 1.

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Related Questions

Olivia runs 4 miles per day. She ran 5 days during the first week of the month. She ran only 3 days each week for the next 3 weeks. Simplify the expression (5 + 3 * 3) * 4 to find how many miles Olivia ran last month.

Answers

Answer:

(5+3^2)*4

Step-by-step explanation:

i belive im correct

Olivia ran 56 miles last month.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given,

She ran 5 days during the first week of the month

She ran only 3 days each week for the next 3 weeks.

Number of mile she ran given by expression (5 + 3 * 3) * 4

                                                    = (5 + 9) * 4

                                                     = 1 4 *4  

                                                     = 56

Therefore, Olivia ran 56 miles last month.

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How many people are in the office?

Answers

Answer:

around 150

Step-by-step explanation:

What are the TWO ways you chose to display the data?

Answers

I use indicators and line charts

please help I really need this
No links!!
No spams!!​

Answers

Answer:

725

Step-by-step explanation:

Gina subtracted 6 8 from 1 and found a difference of 2 8 . Which statement best describes the difference of 6 8 from 1 is 2 8 ? F The difference of 2 8 is not reasonable because 1 – 3 4 = 1 4 . G The difference of 2 8 is reasonable because 3 4 – 1 4 _ = 1 2 . H The difference of 2 8 is reasonable because 1 – 3 4 = 1 4 . J The difference of 2 8 is not reasonable because 3 4 – 1 4 = 1 2 .

Answers

Answer:

Statement H : The difference of 2/8 is reasonable because 1 – 3/4 = 1/4 .

Step-by-step explanation:

Given - Gina subtracted 6/8 from 1 and found a difference of 2/8 .

To find - Which statement best describes the difference of 6/8 from 1 is 2/8 ? Statement F : The difference of 2/8 is not reasonable because 1 – 3/4 = 1/4 .

Statement G : The difference of 2/8 is reasonable because 3/4 – 1/4  = 1/2 .

Statement H : The difference of 2/8 is reasonable because 1 – 3/4 = 1/4 .

Statement J : The difference of 2/8 is not reasonable because 3/4 – 1/4 = 1/2 .

Proof -

If we subtract 6/8 from 1 , we get

[tex]1 - \frac{6}{8} = \frac{8 - 6}{8} = \frac{2}{8}[/tex]

So, the difference is 2/8

It is reasonable.

So,

The correct statement is - Statement H : The difference of 2/8 is reasonable because 1 – 3/4 = 1/4 .

Reason -

As we can write

[tex]\frac{6}{8} = \frac{3}{4}[/tex] and [tex]\frac{2}{8} = \frac{1}{4}[/tex]

So,

either we subtract 6/8 from 1 or 3/4 from 1 , we get the same result because both the values are equal

So the correct statement is - H : The difference of 2/8 is reasonable because 1 – 3/4 = 1/4 .

(a) Solve the equation 4 cos x + 2 = 3 for 0° < x < 360°.

Answers

Answer:

divide both sides by cosx

4 sinx/cosx = 1

4 tanx = 1

tanx = 1/4

x = arctan(1/4) = 14.04°

but the tangent is also positive in quad III

so x = 180+14.04 = 194.04°

x = 14.04° or 194.04°

Step-by-step explanation:

do by this step

The value of x is 75.52°.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The equation is 4 cos x + 2 = 3 for 0° < x < 360°.

⇒ [tex]4cosx=3-2[/tex]

⇒ [tex]4cosx=1[/tex]

⇒ [tex]cosx=\frac{1}{4}[/tex]

⇒ [tex]x=cos^{-1} (\frac{1}{4} )[/tex]

⇒ [tex]x=75.52[/tex]

Hence we can conclude that the value of x is 75.52°.

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PLEASE SHOW ME HOS TO DO IT!!

Answers

Answer:

Ok

Step-by-step explanation:

the answer is in the link below




xinrhuf//.com

find the quotient
7 ($49.56

Answers

Answer: 7.08

Reasoning: 49.56 divided by 7 is 7.08

Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-3x + 2y = -8
3x – 2y = 8
A. No Solutions
B. Infinitely Many Solutions
C.One Solution

Answers

Answer:

B) Infinitely Many

Step-by-step explanation:

0 = 0

Answer:

Step-by-step explanation:

Combine the equations

-3x + 2y = -8

3x – 2y = 8

obtaining:

-3x + 2y = -8  

3x – 2y = 8

-------------------

  0 + 0 = 0

Since this is always true, this system  has an infinite number of solutions (B)

4.2


The solid was created by connecting two congruent square pyramids to a rectangular prism.


18 in


x


15


1


15 in.


What is the surface area of this solid?


square inches

Answers

Answer:

The answer is "[tex]\bold{1920 \ in^2}[/tex]".

Step-by-step explanation:

Please find the graph file.

Rectangular solid area:

Its region comprises four rectangles, each 15 for each case 14 in each.

The rectangle field is the formula [tex]A = lw[/tex]

The four rectangles are therefore covered by a zone: [tex]\to A = 4lw = 4 \times 15 \ in \times 14 \ in = 840 \ in^2.[/tex]

square Pyramids area:

The pyramids in both squares have 8 triangular facets.

Each triangle has a 15-inch basis with a 14-inch base.

The triangle zone formulation is [tex]A = \frac{1}{2}bh[/tex]

That's it. The 8 triangles area is [tex]\to A = 8 \times \frac{1}{2}bh = 4bh = 4 \times 15 \ in \times 18 \ in = 1080 \ in^2[/tex]

Total field surface:

Strong rectangular[tex]= 840 \ in^2[/tex]

Pyramids in the Square[tex]= 1080[/tex]

Overall area [tex]= 1920 \ in^2[/tex]

The number is [tex]1920\ in^2[/tex] for a total area.

Pythagorean Thereom

Answers

My answer would be 14 miles. I really hope this is what you need

there are 12 girls in Chloe's first grade class. The ration of girls to boys is 6:5. How many boys are in Chloe's class?

Answers

There are 10 boys in Chloe’s class. Since the ratio is 6:5 and there are 12 girls and 12/2 is 2 then you multiply 5 by 2 to get 10.

I need help wit math​

Answers

Answer:

1/2

Step-by-step explanation:

Even numbers on the dice:

2, 4, 6

Probability of getting even:

3/6

1/2

3). Find the area of a circle with a radius of
3 ft.

Answers

Answer:

Step-by-step explanation:

1.5

Answer:

A=πr2=π·32≈28.27433ft²

Step-by-step explanation:

In ΔIJK, k = 81 inches, i = 65 inches and ∠J=28°. Find the area of ΔIJK, to the nearest square inch.

Answers

Answer: 1236

its the answer from deltamath

Dan gets a senior citizen’s discount of 20% for any purchase at the local auto parts store. He bought an item that was half price. If the item originally cost $43, what did Dan pay?

Answers

Answer:

$4.30

Step-by-step explanation

$43 x %50 = $21.50

$21.50 x %20 = $4.30

If  the item originally cost $43 then Dan paid $17.20 for the item after the discount.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Dan gets a senior citizen’s discount of 20% for any purchase at the local auto parts store.

We have to find the amount paid by Dan after the discount.

If the original price of the item was $43 and it was half price, then Dan paid:

$43 / 2 = $21.50

Dan also gets a 20% discount on this price, so the amount he paid after the discount is:

$21.50 - 0.20($21.50) = $17.20

Therefore, Dan paid $17.20 for the item after the discount.

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PLEASE HELP!!!!!
What is the value of x? *
31°
53°

Answers

Answer:

X = 96

Step-by-step explanation:

This one is pretty simple

So we're dealing with angles here.

So what we want to do is add the two angles and it =180

Here's the equation so it makes more sense:

[tex]A+B=180[/tex]

so we'd place in those numbers

[tex]53+31=180[/tex]

add the two angles together

[tex]53+31=84[/tex]

than we'd subtract from 180 getting the value of X

[tex]180-84=96[/tex]

[tex]x=96[/tex]

X= 96

I am doing angel right now and I’ve don’t that one before it isn’t that hard.

please n thank you uwu

Answers

Answer:

- 10

Step-by-step explanation:

Evaluate f(3) by substituting x = 3 into f(x) , that is

f(3) - 7 = - (3)² + 2(3) - 7 = - 9 + 6 - 7 = - 10

To win at LOTTO in one state, one must correctly select 6 numbers from a collection of 65 numbers (1
through 65). The order in which the selection is made does not matter. How many different selections
are possible?

Answers

Dgndgbxgxxbgddgdgdbgdgdbgdbgdbgdngdgdgn

A+6,when a=2?


Pls answer

Answers

Answer:

8

Step-by-step explanation:

a + 6; a = 2

2 + 6 = 8

Thus, The answer is 8

-TheUnknownScientist

Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10
How much does a liter of milk cost, and how much does a loaf of bread cost?

Answers

Answer:

Milk costs 75 cents per litre.

Bread costs $1.75 per loaf.

Step-by-step explanation:

Combine like terms.

4n + 11 − 2n − 5

Answers

Hey there!

4n + 11 - 2n - 5

COMBINE the LIKE TERMS

= (4n - 2n) + (11 - 5)

= 4n - 2n + 11 - 5

= 2n + 6


Therefore, your answer should be:

2n + 6


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Answer:

[tex] \sf \: 2n + 6[/tex]

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

Main steps included in solving,

→ Rearranging the expression.

→ Combining the like terms.

The expression is,

→ 4n + 11 - 2n - 5

Let's simplify the expression,

→ 4n + 11 - 2n - 5

→ (4n - 2n) + (11 - 5)

→ (2n) + (6)

→ 2n + 6

Hence, the answer is 2n + 6.

What are the zeros of f(x) = x2 + 3x - 10?
O A. x = 5 and x = 2
O B. x= -5 and x = -2
O C. x= -5 and x = 2
O D. x = 5 and x= -2

Answers

Option c.
(X+5)(X-2)

HELP ASAP PLZ !!!!!!!!!

Answers

Answer:

1. n=3 Sum=60

2. n=6 sum=411

3. n=9 sum= 238.5

Step-by-step explanation: use the formula n( a1+A)

Ex: 3(19+21/2)= 60

n is the amount of numbers you have.

The average mass of 5 man basketball team is 70Kg. Four of team members have a mass of 50kg, 62kg, 81kg, and 84kg What is the mass of the fifth player???? 15 POINTS!!!

Answers

Answer:

The mass of the fifth player is 73 kg

Step-by-step explanation:

Since the average mass of the 5 players is 70kg

what this mean is that the total sum of all the masses of the players is equal to the product of 5 and 70 kg

we have this as 5 * 70kg = 350 kg

So, by adding the masses of all the players, we get 350kg

Thus, for us to get the mass of the 5th player, we have to subtract the sum of the remaining 4 from the total 350kg

Mathematically, we have this as;

350 - ( 50 + 62+ 81 + 84) = 73 kg

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

Answer:

8.

The sides given relative to angle x is the adjacent and opposite side. We can find x by using a trig function.

When using the adjacent and opposite sides, we use tangent.

The tan. of an angle, in this case x, is the opposite side over the adjacent side.

tan x=6/15

x=arc tan 6/15≈22

9.

cos 33°

You can use a calculator for this

10.

Because sin and cos are cofunctions, you can get x by doing 90-35=55°

z=55°

what is the area of this figure

Answers

Answer:

141

Step-by-step explanation:

2*3=6

5*9=45

6*15=90

141

Answer:

add all the sides I guess...

Step-by-step explanation:

or you can break that figure into rectangles. then find their areas and later sum up all the areas and you'll have your area of this shape

HELP ME PLEASE
Find the Volume of each cylinder. Round to the nearest tenth

Answers

471.2

The 10 is the diameter and you need the radius to do it so you do diameter dived by 2 which gives you the radius then you the radius to the power of 2

so the formula would be (3.14)(5)²(6)

6. Monique is making an ottoman for her living room. She covers the top of the ottoman with fabric. How much surface would she need to stain, if she stains the sides of the ottoman (excluding the bottom)?

Answers

I believe she would need to stain 548 inches of the surface.

Excluding the top and bottom, you are left with two panels that are 10 by 7.4, and two panels that are10 by 20, so

10•7.4= 74•2 =148
10•20= 200•2 =400
148 + 400= 548

Please correct me if I am wrong, have a good day!

to
Which of the following expressions is equivalent
(x + 7)(x2 – 3x + 2)?
A. 3 - 3x2 + 2x + 14
B. x3 + 4x2 - 19x + 14
C. x°- 3x + 14
D. 2 - 2x + 9

Answers

Answer:   B.x^3+4x^2-19x+14 is correct

Step-by-step explanation:

(x + 7)(x2 – 3x + 2)

Multiplying both

x^3-3x^2+2x+7x^2-21x+14

x^3+4x^2-19x+14

After expanding the given equation, the equivalent expression is found to be [tex]x^3 + 4x^2 -19x +14[/tex]

The correct answer is B

Given expression:

[tex](x + 7)(x^2 - 3x + 2)[/tex]

To find:

the equivalent expression in expanded form

The given expression can be expanded as follows;

[tex](x + 7)(x^2 - 3x + 2)\\\\remove \ the \ bracket \ by \ multiplying \ through \ with \ "x" \ and \ "7"\\\\x(x^2 - 3x + 2) + 7(x^2 - 3x + 2)\\\\x^3 - 3x^2 + 2x + 7x^2 - 21x+ 14\\\\simplify \ further \ by \ collecting \ similar \ terms \ together\\\\x^3 + (-3x^2 + 7x^2)+ (2x-21x) + 14\\\\x^3 + 4x^2 - 19x+ 14[/tex]

Thus, the equivalent expression of the given equation is [tex]x^3 + 4x^2 -19x +14[/tex]

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