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.

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.

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

Answer:

it should -1 because you have to evaluate the number

Answer:

coplanar

Step-by-step explanation:

coplanar means that they lie on the same plane.

Answer:

I think the answer is coplaner

Answer:

8

Step-by-step explanation:

10/(5/4) = 8

1 1/4 = 5/4

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

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]

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)

Step-by-step explanation:

3a(2a+6b)

3a×2a+3a×6b

6a²+18ab

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

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:)

Answer:

3?

Step-by-step explanation:

im not sure tho

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!

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

Answer: (3/g) + h

Step-by-step explanation:

Step-by-step explanation:

Answer-

b) 1

Answer:

27 square are there in the given figure

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.)

Answer:

f(2) = -3

x = (3, 3)

Step-by-step explanation:

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

Answer:

put n = 5

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

Answer:

D

Step-by-step explanation:

Answer:

-2a+6

Step-by-step explanation:

-3a+a+1+5

-2a+6

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

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

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

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).