Roger is paid $50 to sell videos of a play to an audience after the play is performed.

He also receives $2 for each video he sells. The equation E=50+2v
E=50+2v
models the amount of money Roger earns selling v videos. The play's audience consists of 230 people.

What is the practical range of the equation?

Question options:

The set of all even integers greater than or equal to 50 and less than or equal to 510


The set of all integers greater than or equal to 50 and less than or equal to 510


The set of all real numbers greater than 0 and less than 230


The set of all real numbers greater than 50

Answers

Answer 1
Answer: Choice A

The set of all even integers greater than or equal to 50 and less than or equal to 510

In other words, [tex]0 \le E \le 510[/tex] where E is an even integer.

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Explanation:

The domain is the set of allowed inputs, while the range is the set of allowed outputs. For now, let's focus on the domain.

In this case, the domain is the set of integers between 0 and 230. We're dealing with the set {0,1,2,..., 229, 230} to represent the possible number of people who bought the video.

Let's plug in the smallest item from the domain (v = 0).

E = 50+2v

E = 50+2*0

E = 50+0

E = 50

This matches with the fact Roger gets paid $50 even if he didn't sell anything. This is the flat up front fee he got.

Now let's plug in the largest value for v (230).

E = 50+2v

E = 50+2*230

E = 50+460

E = 510

This tells us that $510 is the most Roger can get from the audience of 230 people. This is assuming that each person buys only one copy.

So we can see that the range of E values spans from $0 to $510.

Furthermore, notice that 2 can be factored from 50+2v to get 2(25+v). This shows that the expression 50+2v is always even. Therefore, we must clarify that we're dealing with the set of even numbers between 0 and 510

In symbolic form, we'd say [tex]0\le E \le 510[/tex] where E is an even integer.

In roster form, the range of possible E values is {0, 2, 4, ..., 506, 508, 510}.

Answer 2

Answer: the answer is A


Related Questions

(PLS HELP <3)
The proportional relationship between the number of songs Stella downloads,
s, and the total cost in dollars and cents, c, can be represented by the equation
c=1.17s. How much does it cost to download a single song?

Answers

Answer:

1.17 dollars!

Step-by-step explanation:

We are given the equation c=1.17s

To break it down, it means that the cost in dollars=1.17 times amount of songs.

Lets plug in 1 for s.

1.17*1=1.17!

For one song, it will cost 1.17 dollars !

1.17 bucks is the answer!
Step-by-step instructions:
The equation c=1.17s is provided to us.
To put it another way, the cost in dollars equals 1.17 times the number of songs.
Let's substitute 1 for s.

Answer to this ?……..

Answers

If you filled out the chart fully:

a = 4

b = 7

c = 6

d = 9

e = 17

Based on the chart, their 7 girls and 10 boys. In this case, it is a better chance of selecting a boy which ratio is:

7:10

There is a greater chance of picking a boy than a girl where there is three more boys than girls.

please help me quick

Answers

Answer:

D) The answer is AB and HG

Step-by-step explanation:

sides that are equal:

AD=EH

DC=EF

BC=FG

AB=HG

You are thrown 4 fastballs and you must hit them in a fair zone to count.
If you hit al 4 in a fair zone, you win the big prize
If you hit 3 or 2 in a fair zone, you win a medium size prize
If you hit 1 in the fair zone, you get the small prize
If you hit zero, you are not a winner and receive nothing
Hint Create a tree diagram to help calculate the probabilities.
What is the probability you will win the big prize?
O 1/5
O 3/32
none of the above
2/9
1/16

Answers

Using the binomial distribution, it is found that there is a [tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.

For each ball, there are only two possible outcomes, either it is hit or it is not. The probability of hitting a ball is independent of any other ball, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

4 balls are thrown, hence [tex]n = 4[/tex]0.5 probability of hitting each of them, hence [tex]p = \frac{1}{2}[/tex]

You win the big prize if you hit 4 balls, hence, the probability is P(X = 4).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.\left(\frac{1}{2}\right)^{4}.\left(\frac{1}{2}\right)^{0} = \frac{1}{16}[/tex]

[tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.

A similar problem is given at https://brainly.com/question/24863377

Answer:

1/16

Step-by-step explanation:

yurr

Maria's monthly income is $1,250. She can afford to spend 25% of her income for rent. How much can she pay for rent each month?

Answers

Answer:

312.5

Step-by-step explanation: 25 percent of 1250 is 312.5(calculated)

to check your answer we multiply 312.5 by 4 as its (25%=1/4)

Which ordered pair is a solution to the system of inequalities?

{y > -2
{x + y ≤ 4

A. (1,3)
B. (0, -4)
C. (-2,-3)
D. (1,5)

Answers

A (1,3) is a solution to the system of inequalities

A is the correct answer

two expressions that are equivalent to 5.75 ÷ 1.15.

Answers

Answer:

i think the answe is A and B hope this helps

Step-by-step explanation:

Have a nice day!

Answer:

5.75 / 1.15 = 5

5 is an answer.

10/2 is also an answer.

25/5 is also also an answer.

100/20 is also also also an answer.

Kindly Simplify this Question

Answers

Step-by-step explanation:

(3⁵×2^-5×5^-5×2×3²)/(5⁵×3^-2×2^-2)

[3^(5+2+2)][2^(-5+1+2)][5^(-5-5)]

3⁹×2^-2×5^-10.

hope this helps you.

The Heads Up Salon charges a stylist $50 a day to rent a station at the salon. Jenny, one of the stylists, makes $25.50 for each haircut. Write an equation that could be used to determine how many haircuts, h, Jenny must give in one day to make $154 after paying rent for her station.

Answers

Answer:

50h+25.5=154

Step-by-step explanation:

Car Miles Driven Gallons Used

Car A 84 2

Car B 90 4.5

Car C 108 3

Car D 185 5

Which car can travel the furthest on one gallon of gas?
Car A
Car B
Car C
Car D

Answers

Answer:

A is correct. Car D will go furthest.

Step-by-step explanation:

Car A

Explanation:
Miles Driven / Gallons Used

A: 84 / 2 = (42 mi per gallon)
B: 90 / 4.5 = (20 mi per gallon)
C: 108 / 3 = (36 mi per gallon)
D: 185 / 5 = (37 mi per gallon)

This recipe makes 6 pancakes. Sanjay follows the recipe but wants to make 30 pancakes. How much of each ingredient does he need? Recipe: Makes 6 135 g flour 1 teaspoon (tsp) baking powder 2 tablespoons (tbsps) sugar 130 ml milk 1 egg 2 tablespoons (tbsps) oil

Answers

Answer:

30 pancakes/6 pancakes = 5, so Sanjay needs to multiply the recipe by 5 (make batches of 6 pancakes 5 times for 30 pancakes in total)

flour: 135g*5=675g

baking powder: 1 tsp*5=5 teaspoons

sugar: 2 tbsps*5=10 tablespoons

milk: 130ml*5=650ml

eggs: 1 egg*5=5 eggs

oil: 2 tbsps*5=10 tablespoons

HELP ME PLZZZZ
its really hard and i cant solve it i have two more quetions to answer and thats it so plz help

Answers

Answer:

(-1, -6)

Step-by-step explanation:

I do believe i need help.

Answers

Answer:

A

Step-by-step explanation:

Can't have 0 in the denominator

Solve for x.

5.3>x+25


x>4910

x<5710

x<4910

x>5710

Answers

Answer:

x= < 4 9/10

Step-by-step explanation:

I hope this helps

Have a great and blessed day

Answer:

K12 Answer

Step-by-step explanation:

hi hope you are well can someone give the answers will mark as brainliest as soon as I am done with this assignment ​

Answers

Answer:

41) 10

42) 65

43) 26

44) 33

45)65

41.)10

42.) 65

43.)26

44.)33

45.)65

hoped that helped:)

graph -1,-1 on this graph​

Answers

Answer:

so that's how you plot their intersection

Solve 7x2-11x+13=0 by completing the square

Answers

Answer:

i think its 16

Step-by-step explanation:

help pls?? will give brainilest <3

Answers

Answer:

The y = 0.5 the x = 1

Step-by-step explanation:

The y = 0.5 the x = 1

Answer:

y=1/2x

Step-by-step explanation:

y=mx+b, where m is the slope, b is the y-int and y and x are variables.

y=1/2x+0 is the answer but you dont need to add the 0.

To get the slop you do RISE/RUN which in this case is 1/2

Hope that helps. Brainliest is appreciated

The set of ordered pairs shown below defines a relation. (MAFS.912.F-IF.2.4){(0, 0), (1, 5), (2, 8), (3, 9), (4, 8), (5, 5), (6, 0)}What is the value of the greatest element in the range of this relation?

Answers

Using the range concept, it is found that the greatest element in the range of this relation is 9.

The range of a data-set is the set that contains all possible outputs.The data-set has the format (x,y), in which the values of y are the outputs.

Hence, the range is: {0, 5, 8, 9}.

From the given range, the greatest element is 9.

For more on range of data-sets, you can check https://brainly.com/question/10891721

Andrew measured a line to be 12.2 inches long. If the actual length of the line is 12.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

The percent error of the measurement, to the nearest tenth of a percent is 3.9%

Given:

Length measured = 12.2 inches

Actual length = 12.7 inches

Error = Actual length - Length measured

= 12.7 - 12.2

= 0.5

Percentage error = error / actual value × 100

= 0.5/12.7 × 100

= 0.039370078740157 × 100

= 3.937%

Approximately,

Percentage error = 3.9%

Therefore, the percent error of the measurement, to the nearest tenth of a percent is 3.9%

Learn more about percentage error:

https://brainly.com/question/5493941

today everything at a store is on sale the store offers a 20% discount the discount price of a hat is $18 what is the regular price

Answers

Answer:

$20

Step-by-step explanation:

Use completing the square to solve for x in the equation (x+ 7)(x-9)=25,
OX= 4 or 6
O X-2 or 14
O x=1V89
O x=1 V87

Answers

Answer:

3rd option

Step-by-step explanation:

(x + 7)(x - 9) = 25 ← expand left side using FOIL

x² - 2x - 63 = 25 ( add 63 to both sides )

x² - 2x = 88

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 88 + 1

(x - 1)² = 89 ( take square root of both sides )

x - 1 = ± [tex]\sqrt{89}[/tex] ( add 1 to both sides )

x = 1 ± [tex]\sqrt{89}[/tex]

solve for x 12+6x/3= 5-9/2

Answers

Answer: I hope this helps! :)

x = -3

rearrange terms: 6x+12/3 = 5-9/2subtract the numbers: 6x+12/3 = -4/2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)simplify fractions: 6x+12/3 = -2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)multiplt the numbers: 6x + 12 = -6subtract 12 from both sides of the equation: 6x + 12-12 = -6-12simplify: 6x = -18divide both sides of the equation by the same factor: 6x/6 = -18/6x = -3

Answer: x=-3

Answer:

[tex]x = -3[/tex]

Step-by-step explanation:

[tex]\frac{12 + 6x}{3} = \frac{5 - 9}{2}[/tex]=> [tex]2(12 + 6x) = 3(5 - 9)[/tex]=> [tex]24 + 12x = 15 - 27[/tex]=> [tex]24 + 12x = -12[/tex]=> [tex]24 + 12 = -12x[/tex]=> [tex]36 = -12x[/tex]=> [tex]x = -3[/tex]

Conclusion:

Therefore, x = -3

Hoped this helped.

[tex]GeniusUser[/tex]

Solve for g.
f=1/3(g+h-k)

help it’s timed

Answers

Answer:

g = 3f - h + k

Step-by-step explanation:

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3


[tex]\Large\bold\red{Question}[/tex]
Refer to the attachment.
Thank you!
Note:Don't Spam
Don't copy
If you don't know the answer don't answer.
Thank You!​

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

The equivalent expression is ~

[tex] \boxed {\boxed{ \sf2}}[/tex]

Refer to attachment for solution ~

For x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the mathematical expression is:

[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]

Given the following data:

[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx}[/tex]

[tex]\frac{\sqrt{1 \;-sin^2x} }{cosx}[/tex]

In Trigonometry, you should take note of the following mathematical expression:

[tex]sin^2x + cos^2x = 1[/tex]

Therefore, we can obtain the following:

[tex]sin^2x = 1 - cos^2x[/tex]   ...equation 1.

[tex]cos^2x = 1 - sin^2x[/tex]    ...equation 2.

Substituting the equations respectively, we have:

[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = \frac{\sqrt{sin^2x} }{sinx} + \frac{\sqrt{cos^2x} }{cosx}\\\\[/tex]

Taking the square roots, we have:

[tex]\frac{sinx}{sinx} + \frac{cosx}{cosx} = 1 +1\\\\1+1=2[/tex]

Therefore, for x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the expression is:

[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]

Read more on trigonometry here: https://brainly.com/question/4515552

What is the distance between -10 and 17 on the number line?

Answers

Find the difference:

17 - (-10) = 27

So the distance between 17 and -10 is 27.

Answer: 27

Step-by-step explanation:

The sum of three consecutive odd numbers is 153 find the number ​

Answers

Answer:

Divide the no. by three

Step-by-step explanation:

153÷3 = 51

so, 51+51+51 = 153

Answer:

an odd number can be expressed as 2n+1 (2n would be even, add 1 = odd)

first number = 2n+1

second number = 2n+3 -> skip + 2 because it would make it even

third number = 2n+5

2n+1+2n+3+2n+5=153

6n+9=153

6n=144

n=24

24*2+1=48+1=49

24*2+3=48+3=51

24*2+5=48+5=53

the numbers are 49, 51, and 53.

How do I find domain and range.

Answers

Answer:

The domain is all the x values and the range is all the y values.

Since there are 6 points on the figure, just find the coordinates (x, y) for all the points. Then get all the x and y values separated in a table.

I'm just going to assume this is scaled by 1 unit per square

Here are all the points on the graph:

(-6, -1)

(-4, 3)

(-4, -6)

(0, 2)

(2, -2)

(5, 7)

Now just split them into their x and y values

The Domain: -6, -4, 0, 1, 5

The Range: -1, 3, -6, 2, -2, 7

Answer:

Interval notation

Domain: [-6, 5]Range: [-1, 7]

Step-by-step explanation:

The domain is the x-value on the x-axis. The range is the y-value on the y-axis.

Find the two highest points on opposite sides in the graph.

find the x-values (refer to the image below)find the y-values (refer to the image below)

After this step has been completed, you can write it in different forms, for example in interval notation:

The domain would be [-6, 5]

The range would be [-1, 7]

Note - for interval notation, when the point is a closed circle, the ending parenthesis would be "[ "or "]". However, when it is an open circle, the parenthesis would be "( "or ")".

expand and simplify \left(4+\sqrt{2}\right)\left(6-\sqrt{2}\right) give your answer in the form of b +c \sqrt{2}

Answers

Answer:

you get 15\3 divide then you answer would be 5

Step-by-step explanation:

PLEASE ANSWER AS SOON AS YOU SEE THIS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Which expression is equivalent to 5 (2 + 7)? 2 (5 + 7) 2 + 7 (5) 5 (2) + 7 5 (2) + 5 (7)

Answers

Answer:

D. 5 (2) + 5 (7)

Step-by-step explanation:

Given expression:

5(2 + 7)

Distribute this to get:

a(b + c) = ab + ac5(2 + 7) = 5(2) + 5(7)

Correct choice is D

Answer:

D. 5 (2) + 5 (7)

Step-by-step explanation:

Given expression:

• 5(2 + 7)

Distribute this to get:

• a(b + c) = ab + ac

• 5(2 + 7) = 5(2) + 5(7)

correct choice is D

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