Suppose the function E(c) represents the earnings of a volleyball team from selling c cupcakes. They are selling each cupcake for $2. They only bought enough supplies to make 100 cupcakes. Describe an appropriate domain and range of this function using interval notation.

Answers

Answer 1

Using domain and range concepts, it is found that:

An appropriate domain for the function is: [tex]c \in [0,100][/tex]An appropriate range for the function is [tex]E \in [0,200][/tex].

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The domain of a function are the values that the input can assume.The range of a function are the values that the output can assume.

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The function E(c) represents the earnings of selling c cupcakes.The input is the number of cupcakes sold c.The output is the earnings E.

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They have enough supplies to make 100 cupcakes, thus, at most 100 cupcakes can be sold, meaning that an appropriate domain for the function is: [tex]c \in [0,100][/tex]If no cupcakes are sold, the earnings will be of $0. If all 100 cupcakes are sold, the earnings will be of $200, as each is sold for $2, meaning that an appropriate range for the function is [tex]E \in [0,200][/tex].

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Related Questions

2(4x+5)−3x=9−(7−3x)
SHOW WORK

Answers

Ok ok so basically I are only supposed to divide and sub
2(4x + 5) - 3x = 9 - (7 - 3x)
8x + 10 - 3x = 9 - 7 + 3x
8x - 3x - 3x = 9 - 7 - 10
2x = 9 - 7 - 10
2x = - 8
x = - 8/2
x = - 4

l find it difficult to solve this problem. Please help.​

Answers

Answer:

27 square are there in the given figure

36 square are in the picture

Barbara requires 2 gallons of paint to cover an area of 800 square feet. Identify the graph for the relationship from quantity to the area covered, and the parent function that best describes it. Then use the graph to estimate how many gallons of paint Barbara requires to paint an area of 2,400 square feet.

Answers

Answer:

6

Step-by-step explanation:

x = area to be painted

y = gallons of paint needed

we know already one point of that function/graph :

x = 800

y = 2

so, for a simple relationship between the 2 variables we can assume

y = ax

2 = a×800

a = 2/800 = 1/400

so, we get

y = (1/400) x

for 2400 ft²

y = 1/400 × 2400 = 1/4 × 24 = 24/4 = 6

she needs 6 gallons of paint for 2400 ft².

6 gallons of paint are required to cover 2400 ft² area.

Graph options aren't given ; however, we could still obtain the required solution using the information given :

2 gallons covers 800 ft²

Let the number of gallons to cover 2400 feets = x

Using cross multiplication :

2 gallons = 800 feets

x gallons = 2400 feets

Cross multiply :

800 × x = 2400 × 2

800x = 4800

Divide both sides by 800

x = 4800 / 8

x = 6

Hence, 6 gallons of paint are required to cover 2400 ft².

Learn more : https://brainly.com/question/18109354

A man is37years old and his child is eight.how many years ago was the product of their ages 96​

Answers

Answer:

WHEN X =5 LHS = 32*3 => 96 IS EQUAL TO RHS. therefore five years ago their product of ages is equal to 96.

hope this helps!

h added to the ratio of three and g

Answers

Answer: (3/g) + h

Step-by-step explanation:

(-2xy + 3 )(xy-1) e cần câu trả lời gấp ạ

Answers

(-2xy+3)(xy-1)
-2x²y²+2xy+3xy-3
-2x²y²+5xy-3

Hope my answer helped u :)

-4n - 8 = 4 (-3n + 2)

what is n?

Answers

Answer:

[tex] - 4n - 8 = 4( - 3n + 2) \\ - 4n - 8 = - 12n + 8 \\ 12n - 4n = 8 + 8 \\ 8n = 16 \\ n = \frac{16}{8} \\ = 2 \\ thank \: you[/tex]

g(4): Your answer is incorrect.
2
The functions f and g are defined as follows.
f(x) = 3x² – 3x
g(x) = - 4x +4
Find f(-4) and g (4)
Simplify your answers as much as possible.
FASTEST WITH BOTH ANSWERS WILL BE BRAINLIEST

Answers

Answer:

60 and - 12

Step-by-step explanation:

Substitute x = - 4 into f(x) , that is

f(- 4) = 3(- 4)² - 3(- 4) = 3(16) + 12 = 48 + 12 = 60

Substitute x = 4 into g(x)

g(4) = - 4(4) + 4 = - 16 + 4 = - 12

You invest $2700 in an account at 1.5% per year simple interest. The equation that represents this scenario is:

A(n) = 2700 + (n – 1)(0.015 • 2700)

How much will you have in the account in year 5? Round your answer to the nearest dollar.

Answers

Answer:

put n = 5

A(5)= 2700+(5-1)*0.015*2700=

12 1/4 + 11.14 =
[tex]12 \frac{1}{4} + 11.14[/tex]

Answers

Answer:

166.25

Step-by-step explanation:

12 1 /4 + 154

166 1/4

665/4 , 166.25

Hey there!

12 1/4 + 11.14

= 49/4 + 11.14

= 12.25 + 11.14

= 23.39 or 23 39/100

Answer: 23.39 or 23 39/100

Good luck on your assignment and enjoy your enjoy your day!

~Amphitrite1040:)

Help plz!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

f(2) = -3

x = (3, 3)

Step-by-step explanation:

Please help its due in 30 minutes will mark braniliest

Answers

Answer:

coplanar

Step-by-step explanation:

coplanar means that they lie on the same plane.

Answer:

I think the answer is coplaner

The value of tan1°tan2ºtan3⁰ (a) 0 (b)-1 (c) 1 (d) 2 tan890 is equal to​

Answers

Step-by-step explanation:

Answer-

b) 1

Solve using any method. All work must be shown and handwritten.
3x-y=-10
x+y=-2
show how it is solved please <3

Answers

Answer:

[tex]x = - 3[/tex]

[tex]y = 1[/tex]

Step-by-step explanation:

Write the system

[tex]3x - y = - 10[/tex]

[tex]x + y = - 2[/tex]

Solve by Elimination.

multiply the second equation by -3.

[tex]3x - y = - 10[/tex]

[tex] -3x - 3y = 6[/tex]

Add the Equations.

[tex] - 4y = - 4[/tex]

[tex]y = 1[/tex]

Plug this back in one of the equations.

[tex]x + 1 = - 2[/tex]

[tex]x = - 3[/tex]

Answer:

x = -3

y = 1

Step-by-step explanation:

3x - y = -10

x + y = - 2

x + y = - 2

x = -y - 2

replacing in other equation

3(-y - 2) - y = -10

-3y - 6 - y = - 10

rearranging the equation

-3y - y = = -10 + 6

-4y = -4

y = 1

putting this value in first eqn we get

x - y = -2

x - (1) = -2

x = -2-1

x = -3

How did it get 683.8?

Answers

9514 1404 393

Explanation:

638.8 is the result of evaluating the expression ...

  [tex]\dfrac{400}{\dfrac{1}{\tan^2{57^\circ}}+\dfrac{1}{\tan^2{68^\circ}}}\approx\dfrac{400}{\dfrac{1}{1.53986^2}+\dfrac{1}{2.47509^2}}=\dfrac{400}{0.42173+0.163237}\\\\\\=\dfrac{400}{0.584967}=683.799\approx\boxed{683.8}[/tex]

Any scientific or graphing calculator or spreadsheet can compute this for you. (You may need to be careful to set Degrees mode for the angles.)

i need help please
Which of the following values are solutions to the inequality —8 – 4x > 1?
1. -10
2.-1
3. 6

Answers

Answer:

option 1. -10

Step-by-step explanation:

—8 – 4x > 1

adding 8 on both sides,we get

-8-4x+8>1+8

-4x>9

by dividing both sides by -4, we get

-4x/-4<9/-4

x<-2.25

Hence, from the above option only -10 is smaller than -2.25. Therefore your answer is option 1.

I hope it helped U

stay safe stay happy

Helppppp
The area of a rectangular parking lot is 6364 m². If the width of the parking lot is 74 m, what is its length?

Length of the parking lot:

Answers

Answer:

86m

Step-by-step explanation:

Area of rectangle = length x breadth

Area of rectangle = 6364m²

Breadth of rectangle = 74m

6364 = length x 74

length x 74 = 6364

length = 6364/74 = 86m

3.
Find the number of real number solutions for the equation. x2 – 3x + 8 = 0

A. cannot be determined
B. 1
C. 2
D. 0

Answers

One

Is it 2x-3x+8=0,right?

Answer:

D. 0

Step-by-step explanation:

the answer to the equation is 0

3.  

Find the number of real number solutions for the equation. x2 – 3x + 8 = 0

cannot be determined

1

2

0

PLEASEE HELP I WILL GIVE A BRAINLY

Answers

Answer:

a) 7x words

b) 1000/x days

c) 15000 + 10x words

Step-by-step explanation:

The best way to do this would be to plug in real numbers to see how each situation would play out.  For example, for part a, let's say he learns 20 new words each day.  One week has seven days, so that would be 20 x 7, which is 140 words.  You multiply the # of days by the # of words, which is x.

For part b, if he tried to reach 1000 new words by doing 20 new words a day, you would find how long that would take by doing 1000 / 20, which would give you 500 days.  You divide the # of new words he's trying to reach by the # of words a day.

For part c, he already has a set # of new words that he's learned, and now he's just continuing the progress, so you start out with 15000, then add that to 10 new words a day multiplied by # of days (x).

The H.C.F. of m²-n² and (m-n)² is ...

Answers

Answer:

(m-n)

Step-by-step explanation:

1st expression=

[tex] = {m}^{2} - {n}^{2} \: \: \: \: \: \: \: \: \: \: [/tex]

=(m-n) (m+n)

2nd expression=

[tex] ({m - n})^{2} [/tex]

=(m-n)(m-n)

therefore H.C.F=(m-n)

taking common (m-n)

what is the answer for baby eleaphants

Answers

Answer:

3?

Step-by-step explanation:

im not sure tho

Simplify: (3) + (-4)

Answers

Answer:

it should -1 because you have to evaluate the number

if f(x)= 2(3x²-2x+2). Find:

A) f(x+1)
B) f(3)​
C) f(y-2)

Answers

A) f(x+1) = 6x^2 + 8x + 6
1) substitute the value of x as (x+1)
2) 2(3(x+1)^2 -2(x+1) +2)
3) 6(x^2 + 2x + 1)
4) 6x^2 + 8x + 6

B) f(3) = 46
1) simplify the expression first
2) 6x^2 -4x + 4
3) Now just substitute 3: 6(3)^2 -4(3) + 4
4) 6•9 - 12 + 4 = 46

I hope this helps :)

Let A = 0, 1 , B = 2, 3, 4 and C = 3, 5 verity that A x (BUC) = (AXB) U (AXC)

Answers

A = {0, 1}

B = {2, 3, 4}

C = {3, 5}

Then we have

A × (B U C)

= {0, 1} × {2, 3, 4, 5}

= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}

and

(A × B) U (A × C)

= {{0, 2}, {0, 3}, {0, 4}, {1, 2}, {1, 3}, {1, 4}} U {{0, 3}, {0, 5}, {1, 3}, {1, 5}}

(underlined pairs are duplicates and common to both A × B and A × C)

= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}

and these two sets are clearly identical.

A carpenter had a piece of wood 10 feet long. She cut the wood into pieces 1 1/4 feet In length. How many pieces of wood did she cut

Answers

Answer:

8

Step-by-step explanation:

10/(5/4) = 8

1 1/4 = 5/4

HELP PLEASEEEEEE PLEASEEEEE PLEASEEEEEE

Answers

Hey there! I'm happy to help!

When evaluating the value of an expression, we need to follow the order of operations which is PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction).

First, we will evaluate the exponent. 3² is 3×3 which is 9.

[tex]\frac{9+2*8}{16-11}[/tex]

Now we have to do multiplication. Since the multiplication sign is between the 2 and the 8, that is what we multiply.

[tex]\frac{9+16}{16-11}[/tex]

Then we will do our addition and subtraction.

[tex]\frac{25}{5}[/tex]

Since all fractions are just division problems, we can do 25÷5.

25÷5=5

So, the value of this expression is 5.

Have a wonderful day and keep on learning! :D

multiply 3a and (2a+6b​

Answers

3a(2a+6b)
Distribute:
6a^2+18ab

Step-by-step explanation:

3a(2a+6b)

3a×2a+3a×6b

6a²+18ab

what is the probability i will roll a 4 or multiple of 3 on a standard # cube

Answers

Answer:

probability is 1/2

Step-by-step explanation:

multiples of 3 that will occur in standard dice = 3,6

hence, theres 3 occasions that u will roll a 4 or multiple of 3 on a standard # cube:

3/6 = 1/2

Simplify the expression by
combining like terms:

Answers

Answer:

-2a+6

Step-by-step explanation:

-3a+a+1+5

-2a+6

The answer to your question is -2a+6

i want to ask a question

Answers

Answer:

D

Step-by-step explanation:

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