Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.

According to a study, for every 50C increase in rental price, the average business can expect to lose 4 rentals a day.

Complete the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50 price increases.

b(x)= x + x+ [

Answers

Answer 1

Answer:

b(x) = -2X² + 19X + 114

Step-by-step explanation:

b(x) = total revenue generated per day

total revenue formula ⇒ b(x) = price x quantity

price = $3 current price + 0.5X price increase = 3 + 0.5X

quantity = 38 current quantity sold - 4 books per X = 38 - 4X

b(x) = (3 + 0.5X) · (38 - 4X)

b(x) = 114 -12X + 19X - 2X²

b(x) = -2X² + 19X + 114


Related Questions


Which of the following shows finding the sum of 4 and -8?

Answers

Answer:

-4

Step-by-step explanation:

count by a number line and you will see

Answer:

the answer is -4

Step-by-step explanation:

First you have to determine which sign is bigger. The number 8 is greater than 4 so we have to use the negative sign. now we can subtract or add. eight minus or plus four is four or twelve. so if we add or subtract the negative sign and the number four together we will get negative four or twelve. This is how you get the sum for negative four and eight. Hope this helps!

PLEASE ANSWER THIS ASAP

Answers

I would say no.
Let me know if you got it right

Help pleaseeee. I’m a little dumb

Answers

Answer:

18

Step-by-step explanation:

PEMDAS (order of operation)

4 dived by 2 is 2

2times 5 is 10

10+8 is 18

5) Rafael's goal is to average
20 points per game in his
basketball league. He has
scored 24, 18, 25, and 16
points in his first four games.
How many points will he
need to score in game 5 to
end up with a mean score of
exactly 20?

Answers

I’m not sure what the exact answer is but i hope this helps

A car increases, then decreases, its speed. Which table could represent the speed of the car? A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 42, 43. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 47, 49, 48, 47. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 45, 45, 43, 41. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 41, 41.

Answers

Answer:

The speed increases (45—>47—>49) then decreases (48—>47) over time.

Step-by-step explanation:

factor the trinomial x²-11x+30?​

Answers

Answer:

(x-5)(x-6)

Step-by-step explanation:

when we look at something like this we have a, b, and c

a=1 (in front of x)

b=-11

c=30

our goal is trying to find factors of c that will give us b so in this case factors of 30 that will give us -11

so when you list all the factors of 30 you find that 6 and 5 both equal 30 when multiplied and add up to 11

but... we need -11 so if we change the signs both to negative that will give us a -11 when added and also a positive 30 when multiplied (-6)(-5)

so we then write it as (x-6)(x-5)

and if you FOIL that out you will end up getting the original equation :)

hope this helps!

the room is actually 18 ft wide on your floor paln you draw the room as 6 inches wide what is the scale factor for the floor plan​

Answers

Answer:

1:3   (scale to actual)

Step-by-step explanation:

6:18

3:9

1:3

QUESTION 3 of 10: Last year you paid $20 for a yard of silk. This year, it will cost you $25 a yard. What is the percentage increase?
a) 12%
b) 20%
C) 25%
d) 33%

Answers

Answer: C) 25%

Step-by-step explanation:

find the value of x root (4/7)^2x-1=16/49​

Answers

Answer:

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

Step-by-step explanation:

Given expression:

                     [tex](\frac{4}{7}) ^{2x - 1}[/tex]   = [tex]\frac{16}{49}[/tex]

  Solve for x;

Solution:

    16  = 4²

   49 = 7²

  So;

           [tex](\frac{4}{7}) ^{2x - 1}[/tex]  = [tex]\frac{4^{2} }{7^{2} }[/tex]

          [tex](\frac{4}{7}) ^{2x - 1}[/tex]   = [tex](\frac{4}{7} )^{2}[/tex]

     Now;

              2x - 1 = 2

              2x = 3

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

Word problem for 3x(5+8)

Answers

Answer:

The answer is 39x.

Step-by-step explanation:

Answer:

I believe the word form of the equation would be Three X times five plus eight.

Step-by-step explanation:

I really don't understand this

Answers

Answer:

-1

Step-by-step explanation:

The mean is the sum of all values divided by the amount of values.

We take the sum of all the numbers:

-3 + -8 + 12 + -15 + 9

-11 + 12 + -15 + 9

1 + -15 + 9

10 + -15

-5

We then divide the sum by how many number we have (we are given 5 numbers):

-5/5 = -1

Therefore, our mean is equal to -1.

Answer:

-1

Step-by-step explanation:

-3 + -8 + 12 + -15 + 9 = -5 Now divide it by the amount of numbers given. -5 / 5 = -1

Write 0.00000000000801 in scientific notation

Answers

Answer:

10^12 times 8.01

Step-by-step explanation:

Answer: 8.01*10^12

Step-by-step explanation:

Plss help i dont understand

Answers

Here’s the picture.


Equation: 48=4x-12

Answer: x=15

Find the difference:
(9.31 x 105) – (4.2 x 105)

Answers

Answer:

536.55x

Step-by-step explanation:

I hope this helps :)

yes i agree with all of you

Answers

Answer:

like wise. I too agree with your contribution

Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor. The sensor recorded the distance to each car in the table below. Distance from Sensor to Each Car Time since starting cars Distance to Brian’s car Distance to Kelsey’s car Distance to Geoff’s car 1 sec 34 cm 27 cm 27 cm 3 sec 38 cm 31 cm 33 cm 5 sec 42 cm 35 cm 39 cm 8 sec 48 cm 41 cm 48 cm Which statement is best supported by the table?

Answers

Answer:

Brian’s and Kelsey’s cars traveled at the same rate.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hope this helps

Please mark as brainlist!

Decide which of the two points lies on the graph of the line
2x+y=10
A.(4,3)
B.(-4,18)​

Answers

Answer:

A

Step-by-step explanation:

when you substitute 4 in x and 3 in y, your result are 11 no 10

Jadah bikes 45 miles in 3 hours. At this rate, how far does she go in 8 hours?

Answers

Answer:

120 miles

Step-by-step explanation:

45 divided by 3 equals to 15 and 15 times 8 equals 120.

45 / 3 = 15

15 x 8 = 120

What value of c makes the equation true?

Answers

let's solve your equation step-by - step

-3-3/4(c-4)=5/4

Step 1: simplify both sides of the equation.

-3-3/4(c-4)=5/4

-3+-3/4 c+3=5/4 (distribute)

(-3/4 c)+(-3+3)=5/4 (combine like terms)

-3/4c=5/4

-3/4 c =5/4

Step 2: Multiply both sides by 4/(-3)

(4/-3)*(-3/4 c)=(4/-3)*(5/4)

Answer:c=-5/3

Answer:

[tex]-\frac{5}{3}[/tex]

Step-by-step explanation:

Hi there !

[tex]-3-\frac{3}{4}(c-4)=\frac{5}{4}\\ \\-3-\frac{3c}{4}+3=\frac{5}{4}\\ \\-\frac{3c}{4}=\frac{5}{4}\\ \\-3c=5\\\\3c=-5\\\\c=-\frac{5}{3}[/tex]

Good luck !

Please help guys, I’d really appreciate it... using FOIL, solve:

(x + y + 3)(x + y - 4)

Answers

Answer:

X^2+xy-x+y^2-y-12

Step-by-step explanation:

I think i did it right but if not comment back and i'll try again.

(X+y+3)(x+y-4)
X^2+xy-4x+xy y^23x+3y-12
X^2+2xy-x+y^2-y-12

)
1.What is the additive of 3/8

Answers

Answer:

3

Step-by-step explanation:

3 + (-8) - (-8)

= 3 - 8 + 8

= 3

Evaluate. x^2 ; x = -3

Answers

Answer:

-9

Step-by-step explanation:

Ashley is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $77 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.80 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.

Answers

Answer:

Anything above 15 miles, so x>15

Step-by-step explanation:

When you solve this by using an equation, you would get 77=65+0.80m (0.80 m because slope is 0.80 and m is mileage you multiply by). You would subtract 64 from both sides, so 12=0.80m and then you divide 0.80 by 12 to get m by itself to get 15. 15 miles is when both companies cost the same, so anything above 15.

I NEED HELP FAST PLZ

Answers

Answer:

A. 2x^2+15

Step-by-step explanation:

Is The Correct Answer!

If a person run 1.3 miles in 10 minutes, how far can he run in 2.5 hours?

Answers

Answer:

23.4m

Step-by-step explanation:

1 hour = 60 min

2.5 hours = 180 min

180 ÷ 10 =18

18 × 1.3 = 23.4

23.4 miles...........

621126.4862 divided by 126.48 ​

Answers

Answer:

4910.8672217

Step-by-step explanation:

I dont have a step by step, i am so sorry

Answer:

4910.8672217

Step-by-step explanation:

What is the length of BC?
9 units
11 units
15 units
16 units​

Answers

Answer:

x = 15

Step-by-step explanation:

I used the pythagorean theorem on BAC triangle

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

The length of BC is 15 units.

In the right triangle ABC.

we have AC = 8 units and AB = 17 units.

We need to find the length of BC using the Pythagorean theorem.

What is the Pythagorean theorem?

It states that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In the given right-angle triangle ABC.

We have,

AB = hypotenuse and the other two sides are AC and BC.

Applying the Pythagorean theorem.

We get,

[tex]AB^{2} = AC^2 +BC^2[/tex]

Now substitute AC = 8 and AB = 17.

[tex]17^2=8^2+BC^2\\289=64+BC^2\\BC^2=289-64\\BC^2=225\\BC=\sqrt{225}\\ BC=15 ~units.[/tex]

Thus, we have the length of BC as 15 units.

Learn more about finding length in a right-angle triangle here:

https://brainly.com/question/13515866

#SPJ2

4x−3/2 - 5-2x/3 - 3x-4/3 = 5

Answers

Answer:

Simplify the expression.

2x-47

=6

Step-by-step explanation:

Answer:

x= -8.5

Step-by-step explanation:

combine like terms

1/3x - 47/6 =5

2. Get x onone side

1/3x = -17/6

3. Multiply for x

x= -8.5

Jared wants to make a scale drawing of his bedroom. His bedroom is a rectangle with a length of 600 cm and width of 400 cm. He decided on a scale of 1 to 50. 1.Jared's bedroom door is 60 cm wide. How wide should the door be on the scale drawing? Explain how you know. 2.Jared's bed measures 4 cm by 5 cm on the scale drawing. What are the actual measurements of his bed?

Answers

Answer:

(1) 1.2 cm

(2) 200 cm by 250 cm

Step-by-step explanation:

The scaled dimention = (Actual dimension) x (scale factor) ...(i)

The given scale factor =1/50

(1) The actual width of the bedroom door= 60 cm.

So, from equation (i),

the width of the door on the scale drawing= 60 x (1/50)=1.2 cm

(2) The scaled dimension of the bed is 4 cm by 5cm.

So, the scaled width of the bed = 4cm and

the scaled length of the bed = 5cm.

So, from equation (i),

4 cm = (Actual width) x (1/50)

So, Actual width = 50 x 4 cm = 200 cm.

And, 4 cm = (Actual length) x (1/50)

So, Actual width = 50 x 5 cm = 250 cm.

=Hence, the actual measurements of his bed is 200 cm by 250 cm.

whats 45 x 7^5 + 809 -12

Answers

Answer:

757112 or 7.57112 x 10^5

Step-by-step explanation:

45 x 7^5 + 809 - 12

45 x 16807 + 809 - 12

756315 + 809 - 12

757124 - 12

757112 or 7.57112 x 10^5

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