Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s).
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 50¢ 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) = -____x2 + ____x + _____

Answers

Answer 1

Answer:

b(x) = -2x² + 7x + 114

Step-by-step explanation:

Step-by-step explanation:

First we convert 50 cent into dollar,

1 cent = dollar

1 cent = 0.01 dollar

50 cent = 0.5 dollar

According to question,

x is the number of 50¢=$0.5 price increases.

b(x) is the revenue generated

He currently charges $3 per book.

i.e. price of book = 3+0.5x

Quantity or average = 38 per day

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

i.e. quantity became 38-4x

Revenue = Price × Quantity

The required equation is given by,


Related Questions

Sonia bebe diariamente un litro de leche si la leche la compra en botellas de un cuarto de litro¿cuantas botellas debe comprar para 14 días? ​

Answers

Answer:

...

Step-by-step explanation:

Answer:

which language is this.. sorry I didn't understood

Help!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

523

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.

5.23 x [tex]10^{2}[/tex]

Scientific Notation: 5.23 x [tex]10^{2}[/tex]

Expanded Form: 523

good luck, hope this helps :)

please hurry

Jack paid $21,000 for his new car. This was 7/8 the suggested selling price of the car. What was the suggested selling price of the car?

Answers

Answer:

$24000

Step-by-step explanation:

so we can make an algebraic equation with these values

21000=7/8x

divide both sides by 7

3000=1/8x

multiply both sides by 8

x=24000

Which of the following geometric series converges?

Answers

All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is

Multiply both sides by r :

Subtract the latter sum from the first, which eliminates all but the first and last terms:

Solve for :

Then as gets arbitrarily large, the term will converge to 0, leaving us with

So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18

The geometric series that converges is II. 0.3 + 0.12 + 0.048 + 0.0192 ( Option A).

To determine whether a geometric series converges, we need to check if the common ratio (r) of the series lies between -1 and 1 (inclusive). If the absolute value of r is less than 1, the series converges; otherwise, it diverges.

Let's check each series:

I. 2.9 - 3.19 + 3.509 - 3.8599

To find the common ratio, we divide each term by the previous term:

r = (-3.19) / 2.9 ≈ -1.1 (diverges)

II. 0.3 + 0.12 + 0.048 + 0.0192

To find the common ratio, we divide each term by the previous term:

r = 0.12 / 0.3 = 0.4 (converges)

III. 4 - 16 + 64 - 256

To find the common ratio, we divide each term by the previous term:

r = -16 / 4 = -4 (diverges)

So, the convergent geometric series is II. 0.3 + 0.12 + 0.048 + 0.0192.

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Mark plans to save 2.50 each week until he saves 75.00.He uses this equation to represent the number of weeks

Answers

Answer:

2.5x = 75

Step-by-step explanation:

x^2 + 9x + 14 I need help !

Answers

Answer:

x² + 9x + 14 can be factored as (x+2)(x+7)

Step-by-step explanation:

The general form is ax² + bx + c. If a=1, then you can start looking for two numbers that multiplied give c and added give b.

14 = 2*7

and

9 = 2+7

hence the easy factorization

(x+2)(x+7)

Keep in mind that it only works if a=1.

Answer:

( + 2 ) (x+7 )

Step-by-step explanation:

Use the sum-product pattern   2 + 9 + 1 4 2 + 7 + 2 + 1 4 2

Common factor from the two pairs   2 + 7 + 2 + 1 4 ( + 7 ) + 2 ( + 7 ) 3

Rewrite in factored form   ( + 7 ) + 2 ( + 7 ) ( + 2 ) ( + 7 )

There are sol students in the
school. 4/9 of the total number of
students are boys. The rest are
girls. How many more girls are there
than boys?

Answers

Answer:
I think the answer is 5/9

PQRS is a quadrilateral.
PST is a straight line.
65°
130°
95
Find the value of y.

Answers

Answer:

y = 95° (being corresponding angle)

it is very easy.

you can also do

Answer:

The value of y is 110 degrees

Step-by-step explanation:

-we know that the Angle sum property of a quadrilateral is 360 degrees.

- so we can find the 4th angle

- and find y through the linear pair method.

The fourth angle=70 degrees

And y=180-70=110(Linear pair)

Does anyone know the written equation to this please?

Answers

9514 1404 393

Answer:

  y = -3/2x +4

Step-by-step explanation:

The line crosses the y-axis at y = 4. The coordinates of that point are (0, 4). This is the "start."

The line crosses a grid intersection again 2 units to the right and 3 units down at the point (2, 1).

The slope is the ratio of the vertical change to the horizontal change:

  m = -3/2

Now, you have the information required to fill in the equation:

  y = -3/2x +4

If there are 1.15 land miles in a nautical mile, how
many land miles are there in 10 nautical miles?

Answers

Answer:

11.5

Step-by-step explanation: Since there is 1.15 land miles in one nautical mile you multiply 1.15 by 10 to find how many land miles are in 10 nautical miles.

The number of land miles there in 10 nautical miles will be 11.5.

What is multiplication?

Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.

If and only if the number being multiplied is more than one, multiplication produces a resultant number that is significantly larger than the original number.

As per the given,

One nautical mile = 1.15 land miles

In 10 nautical miles = 1.15 x 10 = 11.5 land miles

Hence "The number of land miles there in 10 nautical miles will be 11.5".

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92 divided by 11 with remainder

Answers

Answer:

8 remainder 4

One 50 lb bag of fertilizer will cover 75 square feet of lawn. How many pounds of fertilizer will Molly need to cover 120 square feet of lawn?

Answers

Answer:

x=80

Step-by-step explanation:

80 pounds of fertilizer will cover 120 square feet of lawn. :]

Answer:

x=80

Step-by-step explanation:

this is the answer am i right

the points (-1,r) and (2,1) lie on a line with slope -4 find the missing coordinate

Answers

Answer:

(-1,2)

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is -5/12 and irrational or rational

Answers

Answer:

Rational.

Step-by-step explanation:

Since it can be put into a fraction, negative or positive it is clearly rational. Irrational numbers are numbers we can never know the true value because they repeat forever (pi for example)

Answer:

rational number

Step-by-step explanation:

hope this helps...yo

Which of the following situations could be modeled with a parabola that is concave up? a rocket that is launched into the air a rope bridge a soccer ball being kicked across the field the flow of the water from a water fountain

Answers

Answer:

djdjfjfjfhfhfhd ch fmdknfrus M dnqjw

4cm
5cm
8cm
Calculate the area of the trapezium

Answers

1/2 x h (a+b)
Substitute in what ever number in this formula since you didn’t specify

Travis went to the Taco Store. He walked 3 blocks to the restaurant, and he got the special of 5 tacos for $7.00 and a glass of tea for $2.00. How much did Travis spend at the restaurant?

Answers

Answer:

$37.00

Step-by-step explanation:

7x5=35

35+2= 37

now I want some tacos XD

Answer:

Travis spent $37.00 at the taco store

Step-by-step explanation:

5x$7=$35.00

$35+$2=$37.00

A box of cereal weighs 600 grams. How much is this weight in pounds? Explain or show your reasoning. (Note: 1 kilogram = 2.2 pounds)

Answers

Answer: it weighs 1.3lbs and i dont know how to explain it

How do you write the algebraic expression 6 less than the quotient of 32 and a number y

Answers

Answer:

( 32/y ) - 6

Step-by-step explanation:

okay so quotient means the result obtained by dividing one quantity by another and the problem that follows that is 32 and a number, y

this is meaning that 32 and y and going to be dividing (32/y)

less than means subtraction and the number that's surrounding that is 6.

this means that 6 is going to be subtracted from (32/y)

hopefully this helped! good luck bud <3

I need help please answer these two questions for me! Will give points.​

Answers

Answer:

7.) 7

10.)  0

Step-by-step explanation:

When it means "evaluate the function", it's in essence asking us to see what the function spits out when we feed it a certain input. Our inputs are our x values, which spit out a y value.

Evaluating the function when x = 1:

Let's look at where the function has an x value of 1. We see it near the bottom of the table and see the y value associated with the input is 7. So when the function is fed 1 as an input, it spits out 7.

Evaluating the function when f(x) = - 2:

This one is a weird because of the new notation. Just think of it as some value of f, which we don't know (so we represent it as an x-variable) must equal -2. So let's look at our table to find out where our output is -2. We find that when f(x) = -2 the input is 0. So the input which gives -2 is 0.

Help meee plzzzzz.???!!!

Answers

Answer:

y = -x + 2

Step-by-step explanation:

The slope is negative, so you can immediately eliminate all other options. The line travels down 2 y and over 2 x, -2/2 is simplified down to -1x or -x.

Y=-x+2 good luck, and have a good day:)

Help on these questions

Answers

Answer:

the answer is 42.

Step-by-step explanation:

(8)(5)−8+(2)(5)

=42

Answer:

1: 42

2: 107.6 °F

Step-by-step explanation:

For question 1 you insert the x and y values into the expression:

8 × 5 = 40 (xy = 40)

40 - 8 = 32 (xy - x = 32)

2 × 5 = 10 (2y = 10)

32 + 10 = 42 (xy - x + 2y = 42)

For question two you insert the celsius value into the expression:

9/5 × 42 = 75.6 (9/5C = 75.6)

75.6 + 32 = 107.6 (9/5C + 32 = 107.6)

3x + 2 – 10 – 3x
Terms:
Like terms:
Coefficient:
Constants:
NEED HELP RN PLS HELP

Answers

Answer:

3x+2-10-3x

Terms: ONE b/c 3x +2-10-3x

3x-3x+2-10

-8

Like terms:3x and 3x

Coefficient:3

Constant:2 and -10

hope it's helpful ❤❤❤

THANK YOU.

help me! i’ll give brainliest

Answers

Answer:

Step-by-step explanation:

I believe Brandon is incorrect. a > 12 means that you have to be older than 12 to use the gym but that is not true. You have to be at least 12 years old. This means you can be 12 and still go to the gym. You can represent this by using the expression a > 12.

Please help I’ll make you the brainiest

Answers

Answer:

X= 5, -2

Step-by-step explanation:

This would be the answer if you are looking to "solve"

One little cat can eat a bag of treats in 15 minutes while another cat can eat the same bag of treats in 10 minutes. What part of the bag can they eat together in the given time? 1 minute.

Answers

Answer:

Step-by-step explanation:

The first cat eats 1/15 of a bag per minute.

The second cat eats 1/10 of a bag per minute.

Together, they eat 1/15 + 1/10 = 1/6 of a bag in one minute.

Hence both can eat [tex]\frac{2x+3y}{30}[/tex]

What is word problem?

when we form equations  out of given statements and then solve them to obtain answer are said word problems.

How to solve?

Given cat x can eat treat = 15 mints

cat x in 1 mint= x/15

given cat y can eat treat = 10 mints

cat y in 1 mint= y/10

hence both cats if eat together =[tex]\frac{x}{15} +\frac{y}{10}[/tex]

=[tex]\frac{2x+3y}{30}[/tex]

hence both can eat [tex]\frac{2x+3y}{30}[/tex].

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2/3+4/7 is it 26/21 or 6/21 or 3/5 or 6/10

Answers

Answer:

26/21 = 1 5/20 = 4

Answer:

26/21

Step-by-step explanation:

find the value of y .
show work​

Answers

Given:

The figure of a right angle triangle.

To find:

The value of y.

Solution:

If a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In the given right triangle,

[tex]\cos (30^\circ)=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\sqrt{3}\times y=2\times 4\sqrt{3}[/tex]

[tex]\sqrt{3}\times y=8\sqrt{3}[/tex]

Isolate the y variable.

[tex]y=\dfrac{8\sqrt{3}}{\sqrt{3}}[/tex]

[tex]y=8[/tex]

Therefore, the value of y is 8.

Reflected over the x axis, vertically stretched by a factor of 3 and translated right 1

Answers

Step-by-step explanation:

xd?isjdueueoowollw lqnsks

If 0 is an angle in standard position and its terminal side passes through the point
(-7,24), find the exact value of sec 0 in simplest radical form.

Answers

Answer:

[tex] \frac { 5\sqrt{21} }{ - 7} [/tex]

Step-by-step explanation:

Firstly, let find some some other trig functions. We need to know all sides to know other trig functions. We know the horizontal side is -7 because it x-axis is at -7, it y-axis is at 24. so it vertical side is 24. Then we use the pythagorean theorem to find r

[tex] {7}^{2} + {24}^{2} = {r}^{2} [/tex]

49+576=

[tex] {c}^{2} [/tex]

525=c^2

[tex] \sqrt{525} = 5 \sqrt{21} [/tex]

So since we know that x= -7, y=24, r= 5 times sqr root of 21. We can find some trig functions. We can use function cosine here. Cosine equals

[tex] \frac{x}{r} [/tex]

cos=

[tex] \frac{ - 7}{5 \sqrt{21} } [/tex]

then we find secant which is the reciprocal of cos so we flip the numbers and that equals

[tex] \frac{5 \sqrt{21} }{ - 7} [/tex]

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