When can we say that a function is continuous?

Answers

Answer 1
Saying a function f is continuous when x=c is the same as saying that the function's two-side limit at x=c exists and is equal to f(c).

Related Questions

Sam owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many stores does the restaurant operate in 2007?

Answers

Answer:

370 stores

Step-by-step explanation:

Given data

initial number of stores P= 200

r= 8%

t= 1999-2007=  8 years

Let us apply the compound interest expression to find the final amount of stores

A= P(1+r)^t

A= 200(1+0.08)^8

A= 200(1.08)^8

A= 200*1.85

A=370

Hence the number of stores in 2007 is 370 stores

. Chris read 25 books in 135 days. At this rate, in how many days will he read another 5 books? Another 10 books?

Answers

Answer:

5 books - 27 days

10 - 54 days

15 books - 81 days

Step-by-step explanation:

First, you need to find how many days it takes to read one book, to do this, simply divide 135 by 25 (135/5=5.4). Then, you multiply that number by the amount of books it wants to know how long it would take him to read (5 and 15 since it asks "another 10". It could also be 54 if it was asking how many for 10 books not including the 5 he would have read). 5*5.4=27, 10*5.4=54, and 15*5.4=81.

1.0000÷16
solution pls pls help me ​

Answers

Answer:

0.0625

Step-by-step explanation:

Pleasee helpppp
If you are using indirect measurement, what is true?



A.You must convert dimensions to the same unit of measurement.


B.You do not have to convert dimensions to the same unit of measurement.

Answers

Answer:

The anwser is B forsho

Step-by-step explanation:

'Direct measurement' refers to measuring exactly the thing that you are looking to measure, while 'indirect measurement' means that you're measuring something by measuring something else. For example of direct measurement is weight, distance, and so on.

does anyone know what this is ?

Answers

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.

  Tan = Opposite/Adjacent

  tan(θ) = y/x

  Sin = Opposite/Hypotenuse

  sin(θ) = y/4

The given relation is ...

  tan(θ) = 2·sin(θ)

  y/x = 2(y/4)

  2 = x . . . . . . . multiply by (2x/y)

_____

Additional comment

Then the angle can be found from the relation ...

  Cos = Adjacent/Hypotenuse

  cos(θ) = x/4 = 2/4 = 1/2

  θ = arccos(1/2) = 60°

and the value of y is ...

  y = 4·sin(60°) = 2√3

The blizzard company sent a survey to their world of warcraft subscribers and asked if they were expected about the up coming expansion. From the survey, 16 people of the 20 people surveyed said they were excited. A) the probability that 2 people were excited without replacement is

Answers

Answer:

0.6316

Step-by-step explanation:

The computation of the probability that 2 people were excited without replacement is shown below:

There is a total of 20 people

out of which 16 are excited and the remaining 4 would be non-excited

Now the probability would be

[tex]= \frac{^{16}C_2}{^{20}C_2}[/tex]

= 0.6316

Please help me I will mark you brainliest !!

Answers

Answer:

it would be 5x+2y=10 look at pic for math

The base and corresponding height of a parallelogram are 75 cm and 25 cm. If the other base is 50 cm, find out its corresponding height.

Answers

Answer:

Height of the parallelogram = 37.5 cm

Step-by-step explanation:

As given,

Base of a parallelogram = 75 cm

Height of a parallelogram = 25 cm

As,

we know that

Area = Base × Height

        = 75 × 25

        = 1875 cm²

As the parallelogram is same

So, Area = Base × Height

1875 = 50 × Height

⇒ Height = [tex]\frac{1875}{50}[/tex] = 37.5 cm

So, we get

Height of the parallelogram = 37.5 cm

What will be the cost of the paving if cement costs $26.50 per square metre?

Answers

Answer:

hey

Step-by-step explanation:

are 7/18 and -21/-56 are equivalent​

Answers

Answer:

yes they are equivalent. if you simplify -21/-56 by dividing it by 3 you will get -7/-21 which equals to 7/21

The surface of a rectangular table has an area of 8 square feet and a perimeter of 12 feet. What are the dimensions of the table?

? feet by ? feet
PLS .I really need help.Thank you

Answers

Answer:

4 ft by 2 ft

Step-by-step explanation:

4*2=8

4+4+2+2=12

help PLEASE!!! [URGENT]

Answers

The answer is c because its c

VA
Explain how you would find the coordinates of the image
of (5, 2) if it was reflected over the x-axis and then that
image was reflected over the y-axis. What would be the
end result?

Answers

Answer:

srry that the two people here befre me didnt help you

Sample Response: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).

if u dont want to write the paragraph make sure t have this in your sentence

Negate the y-coordinate.

Negate the x-coordinate.

Get the point (–5, –2).

=. Diego and Priya are each saving money. Diego starts with $80 in his savings account and adds $5
per week. Priya starts with $30 in her savings account and adds $15 each week.
After three weeks, who has more money in their savings account? Explain how you know.
a.

Answers

Answer:

diego. 80+(5x3)= 95

it isn't priya because 30+(5x3)=45

Target sells 3 apples $1.50 what is the cost of 20 apples

Answers

Answer:

$10

Step-by-step explanation:

1.50 divided by 3 = 0.50

0.50 x 20 = 10

Tres hermanos van a repartirse un pastel y medio, cuanto le toco de pastel a cada uno de los hermnos

Answers

Answer:

medio pastel cada uno

Step-by-step explanation:

Hay 3 hermanos, si decimos que un pastel entero tiene 6 pedazos entonces su fraccion seria 6/6. Si dividimos este pastel entre los tres hermanos cada uno tendria...

[tex]\frac{6 / 3}{6}[/tex] = [tex]\frac{2}{6}[/tex]

Medio pastel seria la mitad de 6/6 que seria 3/6. Si dividimos esto entre los 3 hermanos cada uno tendria...

[tex]\frac{3 / 3}{6} = \frac{1}{6}[/tex]

Ahora que dividimos los 2 pasteles tenemos que unir las fracciones para saber cuanto pastel le toco a cada hermano...

[tex]\frac{2}{6} + \frac{1}{6} = \frac{3}{6}[/tex]  o medio pastel cada uno

6(-5x - 16) = 30y + 84

Answers

Answer:
-6

Explanation:

h(x) = x^3 - 2x
g(x) = 3x + 4 Find (h+g)(4)

Answers

9514 1404 393

Answer:

  72

Step-by-step explanation:

  h(4) = 4^3 -2·4 = 64 -8 = 56

  g(4) = 3·4 +4 = 16

Then the sum is ...

  (h+g)(4) = h(4) + g(4) = 56 +16

  (h+g)(4) = 72

Order the values of the differences from least to greatest. First, write the fractions as decimals. StartFraction 4 Over 5 EndFraction is and Negative 1 and one-half is . Next, plot the numbers on the number line. The greatest number is . Using the students' names, the correct order is .

Answers

Complete Question:

Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.

Order the values of the differences from least to greatest.

Student: Raj. Difference (in.): 4/5

Student: Clara. Difference (in.): -1 1/2

Student: Jacob. Difference (in.): 0.9

Answer:

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

The greatest is: 0.9

By student names: Clara, Raj and Jacob

Step-by-step explanation:

See comment for complete question

Given

Differences:

[tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

Required

Order from least to greatest

We have: [tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

First convert fractions to decimal

[tex]\frac{4}{5} = 0.8[/tex]

[tex]-1\frac{1}{2}= -1.5[/tex]

[tex]-\frac{3}{4} = -0.75[/tex]

So, the differences become:

[tex]0.8[/tex], [tex]-1.5[/tex], [tex]0.9[/tex]

Now arrange from least to greatest

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

From the above representation,

The greatest is: 0.9

By student names, we have:

Clara, Raj and Jacob

This is done by simply replacing the numbers with the student name.

See attachment for number line

Answer:

4/5 is 0.8 , -1 1/2 is -1.5 , The greatest number is 1.3 , mia, raj, clara, jacob

Step-by-step explanation:


3 x (5 + 7)
What two words can describe (5 + 7) in the expression above?
O A. quotient and factor
OB.
difference and factor
OC. sum and factor
OD. sum and quotient

Answers

C. A sum and a factor. The sum would be because of the plus sign and it’s in factored form.

The expression contain sum and factor.

The correct option is (C).

What is Expression?

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Given:

3 x(5+7)

In the Above Expression we have two operation Multiplication and Addition.

Also, the Multiplication is also termed as factor.

Hence, the expression contain sum and factor.

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2

Need help ASAP
Thankss + BRAINLIST only for correct answer

Answers

Answer:

(2, 0)

Step-by-step explanation:

Given the simultaneous equation

2x-y = 4

3x+y = 6

Add both equation

2x+3x = 4 + 6

5x = 10

x = 10/5

x = 2

Substitute x = 2 into equation 1

From1 ;

2x-y = 4

2(2) - y = 4

4 - y = 4

y = 4-4

y = 0

Hence the solution to the system of equation is (2, 0)


3x + 80 = 12x - 1
what’s the value of x ?

Answers

Answer:

9

Step-by-step explanation:

3x+80=12x-1

80=12x-3x-1

80=9x-1

9x=80+1

9x=81

x=81/9

x=9

Find the coordinates of the intersection of the diagonals of rectangle WXYZ with the given vertices. W (-1, 7), X (8,7), Y (6,-2), Z (-3,-2).

Answers

(-1,7) X (8,7) Y ( 6-2), ( -3 -2).

Shane took out a 5.5-year loan from the bank in order to purchase at $12,000 motorcycle. At the end of the loan, he had paid $3267 in interest. Find the interest rate. Help me please

Answers

Answer:

4.95%

Step-by-step explanation:

3,267 ÷ 5.5 = $594 interest per year

$594 ÷ $12,000 = 0.0495 aka 4.95%

Can someone solve this equation for me?

[tex]f(x)=(1-0.08)^{(\frac{1}{52})^{12t}[/tex]

Answers

Answer:

$\frac{4\cdot\left(5^2\right)^5\left(-20\right)^3\left(-8\ right)^{-6}}{5^{-3}\cdot\:25^3\ ... 3(−8) −65 −3· 25 3(( −5) −2) −4 =−251024 ( Decimal : −0.0244140625) .

PLEASE HELP ME GUYS!! ITS URGENT

Answers

I think yes they are similar because both of the sizes are equal

Work out, giving your answer in its simplest form:
2 1/4 x 3 1/5

Answers

Answer:

36/5 or 7 1/5 or 7.2

(These are all different forms of the same answer)

Method:

2 1/4 = 9/4

3 1/5 = 16/5

9/4 × 16/5 = 144/20

144/20 = 36/5

please help me find the value of x

Answers

Answer:

x=105 hope it helps ur day will nice

X=105 bro have a nice day

help!!!!!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

it is how many more

A) 274 m2
B) 302 m2
C) 344 m2
D) 420 m2

Answers

Answer:

The answer is C)344 m2

Step-by-step explanation:

6 x 7 x 2

7 x 10 x 2

6 x 10 x 2

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