Use the definition of continuity to determine whether the function f(x) graphed
below is continuous at x = 0.

Use The Definition Of Continuity To Determine Whether The Function F(x) Graphedbelow Is Continuous At

Answers

Answer 1

The function graphed below is not continuous.

On the graph at x = 0, the function is not continuous. There is a jump on the graph at x = 0.

A function is said to be continuous if the graph of the function has no break, hole or asymptotes.

In this graph it is clear that the graph is not continuous because the function approaches -4 until when x = 0 and then after x = 0, function takes the values from 1.

This causes a jump on the graph of the function which gives a discontinuity at x = 0.

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Related Questions

what is the product of (2.5+y) and (1.1y)

Answers

The product of the expressions (2.5 + y) and (1.1y) will be 2.75y + 1.1y².

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expressions are given below.

(2.5 + y) and (1.1y)

Then the product of the expressions (2.5 + y) and (1.1y) will be

⇒ (2.5 + y) × (1.1y)

⇒ 2.75y + 1.1y²

The product of the expressions (2.5 + y) and (1.1y) will be 2.75y + 1.1y².

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x / −6 ≥−20
solve for x

Answers

Answer:

[tex]x\leq 120[/tex]

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

Hope this helps!

Have a great day and God bless! :)

x < 120
_
Hope this helps!

When you answer these, can you number them?

Answers

Yes you can. I got those type of problems too.

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ASK YOUR TEACHER
Consider a survey involving the cookie preferences of a sample of 1,214 adults. If 28% answered peanut butter" find the decimal and reduced fraction of that percentage
PRACTICE ANOTHER

Answers

The decimal fraction is 0.28 and reduced fraction is 7/25.

What is fraction?

In mathematics, the fraction is generally a term which define the small part of something or amount of something. A fraction has generally two parts a numerator and a denominator.

The general syntax for fraction is : [tex]\frac{x}{y}[/tex]

where, x is the numerator part

           y is the denominator part

The fraction has two types of notations:

Decimal notation : In the decimal notation of fraction the term is written as the decimal form of x / y. we generally try to reduce the decimal value upto the nearest tenth.Reduce notation: In the reduce notation the structure of term is x/y but in this we try to convert the fraction into smallest fraction form.

In the question given,

Total number of samples = 1214

Adults who answered peanut butter = 28%

Now, the decimal fraction  = 28 / 100 = 0.28

and, the reduce fraction  = 28/100 = (7)(4) / (25)(4) = 7/25

Hence, The decimal fraction is 0.28 and reduced fraction is 7/25.

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Situation 1: A number cube has sides labelled 1-6. After rolling 15 times, Tyler records his data:
1,1,1,1,2,2,3,3,4,4,5,5,5,6,20
Is there an outlier? (yes/no)
If so, what is it? (write N/A if there is no outlier)
Should any data points be investigated or removed? (investigated/removed)
Why? (non-plausible/not representative)

Answers

Answer:

There is an outlier. The outlier is 20. 20 should be removed because a dice only has 6 faces, and there is no side numbered 20.

Step-by-step explanation:

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 1, negative 3) and (0, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 3) and (1, negative 3). Everything to the right of the line is shaded.
A school is planning for an addition in some open space next to the current building. The existing building ends at the origin. The graph represents the system of equations that can be used to define the space for the addition. What is the system of equations that matches the graph?

y ≤ 3x
y > –2x – 1
y > 3x
y ≤ –2x – 1
y < –3x
y ≥ 2x – 1
y > –3x
y ≤ 2x – 1

Answers

Using linear functions, the system of inequalities that matches the graph is given by:

y ≥ 3x.y > -2x - 1.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Given two points, the slope is given by change in y divided by change in x. For the first line, the points are:

(-1, -3) and (0,0).

Hence the slope is:

m = (0 - (-3))/(0 - (-1))

m = 3.

When x = 0, y = 0, hence the y-intercept is of b = 0 and the line is given by:

y = 3x.

Everything to the right of the solid line is shaded, hence the values that are equal(line is solid) or greater than the line compose the inequality, as follows:

y ≥ 3x.

For the second line, the points are:

(-2,3) and (1,-3).

Hence the slope is:

m = (-3 - 3)/(1 - (-2)) = -6/3 = -2.

Then:

y = -2x + b.

When x = -2, y = 3, hence:

3 = -2(-2) + b

b = -1.

Hence the line is:

y = -2x - 1.

Everything to the right of the dashed line is shaded, hence the inequality is:

y > -2x - 1.

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How to do this exercise step by step?​

Answers

Is that all of it is there more to the question

Can someone pls help me with this one T—T

Answers

Answer:

13. x = 2 - 5y

14. x= 6y + 2

help questions 3-5 (negative and positive numbers)

Answers

Answer:

good luck broooooooooo

Kenneth's bank account is modeled by the following equation f(x) = 13x+30
where x in the number of weeks and f(x) is total amount. How much money
was in Kenneth's account when it was opened?

Answers

When Kenneth opened her account, her account balance was 30.

A function is an expression that assigns each input value, say x, a unique output value, say y. Mathematically, a function can be represented as-

F(x) = x + a

Here, we are given that Kenneth's bank account is modeled by the following equation-

f(x) = 13x + 30

here, x =  number of weeks

and  f(x) = total amount

When Kenneth must've opened his account, the number of weeks would've been zero.

⇒ x = 0

Substituting the value of x = 0 in f(x), we get-

f(0) = 13(0) + 30

f(0) = 0 + 30

f(0) = 30

Thus, when Kenneth opened her account, her account balance was 30.

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which point on the number line represents the product (-4)(-2)(-1)?

Answers

-4*-2= 8
8*-1=-8
(i’m not exactly sure if that’s what you’re asking)

Ruguru wants to rent a car for 3 days. The cost,C , in dollars, for the rental is shown in the box, where D is the number of days the car is rented If Ruguru has 115, how much more will he need to rent a car for 3 days?

Answers

Ruguru need $15 more to rent a car for 3 days.

Given,

Number of days Ruguru wants to rent a car = 3 days

The amount Ruguru has with him = $115

The cost for the rental of the car:

C = 25 + 35D

Where,

D is the number of days

Now,

Lets find the total rent of the car for 3 days

C = 25 + 35D

C = 25 + 35 × 3

C = 25 + 105

C = 130

The total rent of a car for 3 days is $130

We have to find the amount needed by Ruguru to rent a car for 3 days.

That is,

Total rent - Amount Ruguru has = Amount needed

130 - 115 = 15

Therefore,

Ruguru need $15 more to rent a car for 3 days.

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Help please(work provided)

Answers

KRL since they are across

Answer is angle 2



Reason


two angles are adjacent angles when they share the common vertex and a side.



See attached picture


A cone has a volume of 98 cm3.
The radius of the cone is 5.13 cm.

Work out an estimate for the height of the cone.

Answers

Answer: Height is equal to approximately 3.56.

Step-by-step explanation:

FIND formula for finding height on a cone:

3 * [tex]\frac{V}{\pi r^{2} }[/tex]

    2. INSERT Volume and Radius

3 * [tex]\frac{98}{\pi 5.13^{2} }[/tex]

    3.CALCULATE Height

Pi*5.13^2= 82.676979798 / 82.6769797= 1.185335995041.18533599504 * 3= 3.556007985133.55600798513 rounds to 3.56

Answer:

3.6cm=h

Step-by-step explanation:

v=1/3πr^2h

input your values

98=1/3×22/7×5.13×5.13×h

98=(22*5.13*5.13*h)/21

cross multiply

98*21=22*5.13*5.13*h

2058=22*5.13*5.13*h/22*5.13*5.13

3.6cm=h

hope it helps, please mark brainliest

Lorie ordered a shed to hold her gardening supplies. The shed had a length of 12.25 ft, a width of 10 ft, and a height of eight and one fifth ft.

Determine the volume, V, using the formula V = lwh.

30.45 ft3
100.45 ft3
960.05 ft3
1,004.5 ft3

Answers

The volume will be 1004.5 ft³.

How to calculate the volume?

It should be noted that the volume is calculated as:

= Length × Width × Height

= 12.25 × 10 × 8.2

= 1004.5 ft³

Therefore, the volume will be 1004.5 ft³.

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for the dinner special at a restaurant, the customer must choose an appetizer, an entree, a side dish, and a dessert. here are the items to choose from

Answers

288 dinner specialist

1 Appetizer = 3  C₁

1 Salad = 2  C₁

1 Entree = 4  C₁

1 Side dish = 3  C₁

1 desert = 4 C₁

Total =  3  C₁ * 2  C₁ *  4  C₁ * 3  C₁ * 4 C₁

=3* 2 * 4 * 3 * 4

= 288 dinner specialist

What do you mean by possibility in mathematics?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an occurrence is a number between 0 and 1, with 1 representing certainty and 0 representing impossibility. The higher the likelihood of an event, the more likely it is to occur. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half.

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MARKING BRAINLEIST IF CORRECT

Answers

Answer:

C) corresponding angles

Step-by-step explanation:

AE is a transversal that crosses two parallel lines. Notice Angle ABC and BED are on the same corner. Hence, they are corresponding angles

Use the laws of exponents to simplify the expression so that the base, x, appears once, and the exponent is positive. x^3/x^5

Answers

X^3/x^5 = x^-2 = 1/x^2

You have timed yourself and found that you can read 8 pages of a novel in 10 minutes. Your homework tonight is to read 42 pages in the novel. How many minutes should it take you? Round your answer to the nearest tenth if needed.

Answers

It will take 53 minutes to read 42 pages in a novel

Given,

The time taken to read 8 pages in a novel = 10 minutes

Therefore, the time taken to read 1 page = 10 ÷ 8 = 1.25 minutes

Now,

We have to find the time taken to read 42 pages of a novel.

Time to read 42 pages = 42 × 1.25

Time taken = 52.5 minutes

We can round it to nearest tenth, that is 53 minutes.

That is, the time taken to read 42 pages in a novel is 53 minutes.

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Graph each integer and its opposite on the number tin

Answers

 hi!

lets try and further analyze this.

The integer -2 would be graphed directly on the "-2" point on the line. also marking positive 2 (2) as for that's its opposite. Positive 3 (3) would be marked on the 3 and so would -3. Then -5 and positive 5 (5) and lastly -1 and positive 1 (1).

hope this helps!

side note: for actually graphing the point just use a filled in dot indicating where you mark it.

the shortest distance between two points on a sphere is group of answer choices a straight line an arc of a great circle an arc of a small circle

Answers

The shortest path between two points on the sphere is the arc of a great circle. Thus, option C is correct.

According to the statement

We have to find about the distance.

So, For this purpose, we know that the

The distance between two points is that the length of the path connecting them.

From the given information:

We have to search out that the the shortest distance between two points on a sphere.

Then we all know that the

Sphere is that the set of all points in three-dimensional space lying the identical distance from a given point, or the results of rotating a circle about one in every of its diameters.

Then

The shortest path between two points on the sphere is that the arc of a good circle.

According to this the option C is correct.

So, The shortest path between two points on the sphere is the arc of a great circle. Thus, option C is correct.

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Select all decimals that are equivalent to
9 x 100 + 2 x 10 + 3 x 10 + 5 x 1/100
A.92.35

B.920.350

C.902.35

D.92.350

E. 920.35

F.920.035

Answers

Answer:

E. 920.35

Step-by-step explanation:

Hope this helped :>

If m ∠ F L G = 14 x + 5 ° and m ∠ H L G = 17 x − 1 ° , find m ∠ F L H .

Answers

The measure of angle FLH is 31x  + 4

How to determine the measure of FLH?

See attachment for the image that completes the question

The given parameters are

m∠FLG = 14x + 5°

m∠HLG = 17x − 1 °

The measure of FLH is calculated as

FLH = m∠FLG +  m∠HLG

This gives

FLH = 14x + 5 + 17x - 1

Collect the like terms

FLH = 14x + 17x  + 5 - 1

Evaluate the like terms

FLH = 31x  + 4

Hence, the measure of FLH is 31x  + 4

See attachment for the image that completes the question

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find the value of x
(X-24) = 29 degrees

Answers

Answer:

X - 24 = 29

X = 29 + 24

X = 53 degrees

Graph: y= lx+2l+1
what are the coordinates of the vertex of the graph? The vertex is

Answers

The coordinate pf the vertex of the graph is 1,4 5,7 -2,2

Can you guys help me on this one?

Answers

Answer:

The area is 12.57

The Circumference is 12.57

Step-by-step explanation:

15+3(2x-9)=44 solutions or no solution

Answers

when we take x = 9.33, the equation becomes true, which means that the linear equation has one solution.

Does the given linear equation has solutions?

Here we have the following linear equation:

15 + 3*(2x - 9) = 44

And we want to see if this has a solution, it means that there is a value of x such that the equation becomes true. Let's see that.

To do it, we need to isolate the variable, x, in one of the sides of the equation.

Expanding the product we get:

15 + 3*2x - 3*9 = 44

Moving the terms without x to the right side:

15 + 6x - 27 = 44

6x = 44 + 27 - 15 = 56

Now we can divide both sides by 6 so we get:

x = 56/6 = 9.33

So, when we take x = 9.33, the equation becomes true, which means that the linear equation has one solution.

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A chef uses a recipe with the following ingredients then the chef decides to make more than 1 batch of recipe. if a total of 30 cups of mangoes and blueberries are used, how many batches of the recipe did the chef make? 3 cups used for 1 mango and 2 cups used for blueberries, 5 cups for apples and 1 cup used for blackberries

Answers

Answer:11 cups

Step-by-step explanation:

Srry if im wrong :)

Laura is 32 feet below the ground in a cave. If she ascends 8 feet, what is her new depth?

Answers

Answer:

40 feet

Step-by-step explanation:

Because 32+8=40

32

- 08

-----

40

Answer: -24 feet

Step-by-step explanation: ascending is rising so you would subtract feet, which in this case is 8 feet. after that you would consider that since she is underground the feet would be negative because she is below ground level which is zero. once you subtract it then you would get a grand total of -24 feet or 24 feet below the earth's surface but more than likely the answer would be -24 ft.

hope this was helpful :)- hailey <3

Express 28 + 42 as the product of the greatest common factor (GCF) of the two numbers and a sum of two numbers.

Answers

Answer:

14 is there (GCF) 28+42=70

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