A downtown parking lot charges $5 per hour for the fort 2 hours, then $2.50 per hour after that. Which equations describes the total cost y as a function of the hours x?

Answers

Answer 1

We will get the piecewise function:

y = f(x) = $5*x  for 0 ≤ x ≤ 2y = f(x) = $10 + $2.50*(x - 2)    for  2 < x

How to write the piecewise function?

We know that the parking lot charges $5 per hour for the first two hours, and then $2.50 per hour after that.

So the function behaves differently in different intervals of its domain, this will be a piecewise function. To write it, we just need to clarify how the function behaves in each part of the domain.

Here the function will be:

y = f(x) = $5*x  for 0 ≤ x ≤ 2y = f(x) = $10 + $2.50*(x - 2)    for  2 < x

So for the first two hours (x is the number of hours), the cost is $5, then for any hour after that, the cost will be the $10 for the first two hours plus $2.50 for each hour after that.

That is the piecewise function that describes the total cost y as a function of the number of hours, x.

If you want to learn more about piecewise functions, you can read:

https://brainly.com/question/3628123


Related Questions

pahelp po guys thank u po​

Answers

Answer:

Hello there, hope it's help !! :)

To divide a multiple of 10:

Find a division fact to start with

Look at the remaining zeros

Subtract the number of remaining zeros in the divisor from the number of remaining zeros in the dividend

-

What's the solution of the following linear system?

5x + 2y = 9

–5x – 2y = 3

Question 10 options:

(–3, 5)


(0, –2)


No solution


Infinitely many solutions

Answers

Answer:

No solution

Step-by-step explanation:

5x + 2y = 9

–5x – 2y = 3

0 = 12

This is false. Therefore the equation had no solution.

Hope this helps!

10 man construct a building in 40 days . how long will it take 20 man to do this work ?

Answers

Answer:

20 days

Step-by-step explanation:

Evaluate the expression for x = -4, y=-2, and z=-3.
x(y+z)^2?

Answers

Answer:

- 100

Step-by-step explanation:

x (y + z)²

= (-4) [(- 2) + (- 3)]²

= - 4 * (-5)²

= - 4 × 25

= - 100

Hope it helps ⚜

Step-by-step explanation:

we take the values given and we substitute in the equation above.

value of x=-4

y=-2

z=-3

hence we can solve for the equation above

-2(-2+-3)^2

we for everything in brackets first

(-2+-3)=-5

(-5)^2=25hence after solving we multiply by -2

-2(25)=-50

indeed that is my solution.

In the senior year of a high school graduating class of 100 students, 42 studied mathematics, 68 studied psychology, 54 studied history, 22 studied both mathematics and history, 25 studied both mathematics and psychology, 7 studied history but neither mathematics nor psychology, 10 studied all three subjects,and 8 did not take any of the three. Randomly select a student from the class and find the probabilities of the following events. (a) A person enrolled in psychology takes all three subjects. (b) A person not taking psychology is taking both history and mathematics

Answers

The probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.

Probabilities

To find the probability of A) a person enrolled in psychology that takes all three subjects, and B) a person not taking psychology that is taking both history and mathematics; the following calculations must be made:

A) 10/100 x 100 = X0.1 x 100 = x10 = X

B) 22/100 x 100 = X0.22 x 100 = X22 = X

Therefore, the probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.

Learn more about probabilities in https://brainly.com/question/26677483

the number of kilo gram of water in human body varies directly as the mass of the body. A 96kg person contains 64kg of water. how many kilo gram of water are in a 60kg person? (show your solution)​

Answers

Hi there,
Body weight = k x Water content
k = constant of proportionality
96 = k 64
k = 96/64
k = 1.5
Body weight = 1.5 Water content
60 = 1.5 Water content
Water content = 60/1.5
Water content = 40 kg.
Hope this helps :-)

What is the answer to 5x6+8+9-5 Pls help i dont remember pemdas mean

Answers

Answer:

The answer is 42

Step-by-step explanation:

PEMDAS=
parenthesis, exponents, multiplication, division, addition, subtraction.

Answer:

The answer is 42

PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction

POS systems are most effective when combined with

Answers

no idea tbh what subject is it

АВС аnd
APQR are similar. Find the missing side length.

Answers

The missing side length is 7
Because the triangle is quadrupled so you divide 28 by 4

Help or the imposter will find you.

Answers

Answer:

1/4x... = 3; 3.2b = 7; 4.6y = -2; 7.5c = -3

Isolate the variable.

Random Question
Mr Sire purchases a bicycle for $163.62. How much cash will he need to pay?

Answers

$163.62 because it only says a which means one so he payed $163.62

Find the perimeter of the figure.

O528.75 ft
O264.375 ft
O 41.25 ft
O 82.5 ft

Answers

Answer:

the answer for your question is 82.5 ft

Step-by-step explanation:

Using translation concepts, we have that the graph of f(x):Was shifted 9 units to the right and 3 units down ... O528.75 ft O264.375 ft O 41.25 ft O 82.5 ft.

The equations of four lines are given. Identify which lines are parallel.

Line 1: y=12x−6
Line 2: x−2y=−1
Line 3: y=4x+6
Line 4: y+3=14(x−6)

Answers

Line 1: y=12x-6
Line 2: 2y=x+1. Y=x/2 +1/2
Line 3: y=4x+6
Line 4: Y=14x-84-3
Y=14x-87



None are parallel since none of them has 2 equal slopes

HAHAHHAHHAHAHAHAHAHAHAHAHHA​

Answers

Hahahahahahahahahah.

Answer:

relaaaaaaa gezzzzzzzzzzzzzzzzzzzzzzzz

Step-by-step explanation:

8th grade math. I think

Answers

Answer:

113.04 ft^2

Step-by-step explanation:

A= πr^2 = π(6)^2 = π(36) = 113.04

2nd answer I think seeing the other persons explanation helps

A stack of books is 24 inches high.
Each book in the stack is 3/4 inch thick
How many books are in the stack?

Answers

Answer:

32

Step-by-step explanation:

Let's say n such books make up the stack.

If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.

==> number of books × 3/4 = 24

(to get this result add the heights of n such book, and equate it to 24. You'll get something like:

3/4 + 3/4 +. . . . n times = 24

And that's what's meant by 3/4 × n = 24)

==> n × 3/4 = 24

multiply both sides by 4

==> n × 3 = 24 × 4

divide both sides by 3

==> n = (24 × 4)/3

==> n = 8 × 4

==> n = 32

We assumed the number of books to be n.

so the answer is:

32 books, each if height 3/4 inch, are required to build a stack 24 inches high.

plssss help me Po plsssssssss​

Answers

Answer:

Step-by-step explanation:

Find the solution to the system of equations,
x + y + z = 18
y+ z = 11
z = 8
A. x = 7, y = 3, z = 8
B. x = 7, y = 11, z = 3
C. x = 18, y = 3, z = 8
D. x = 18, y = 11, z = 8

Answers

A is the answer :)
Since we are given z = 8, finding y is simple.
By replacing the z in y + z = 11, we can see that y = 3
After finding these two, x can be found

Answer:

D should be it

Step-by-step explanation:

Solve for x
-1/5x-2/5=4/3x+1

Answers

Answer:

x = -21/23 or 0.913 (rounded to the nearest thousandth)

Step-by-step explanation:

Step 1: Add 2/5 to both sides

    1. -1/5x - 2/5 + 2/5 = 4/3x + 1 + 2/5

    2. -1/5x = 7/5 + 4/3x

Step 2: Subtract 4/3x from both sides

    1. -1/5x - 4/3x = 7/5 + 4/3x - 4/4x

    2. -23/15x = 7/5

Step 3: Multiply both sides by 15

    1. (15)-23/15x = 7/5(15)

    2. -23x = 21

Step 4: Divide both sides by -23

    1. -23x/-23 = 21/-23

    2. x = -21/23 or 0.913 (rounded to the nearest thousandth)

NO LINKS!!! Select the correct answer. Consider functions f and g.​

Answers

Answer:

-2.25

Step-by-step explanation:

x = -2.25

Answer:

  C.  x ≈ -2.25

Step-by-step explanation:

A spreadsheet or graphing calculator can help you make a table of values. The function values are closest together at ...

  x ≈ -2.25

______

Additional comment

To 11 significant digits, the solution is x ≈ −2.2116632512.

The surface area of the figure below is 1,620 square feet. True or false​

Answers

True, pretty sure it’s 1620

Your boss hands you a memo with a summary of the monthly data. The number of imports is shown as fx), and the number of exports is shown as gx). Use the data in the table below, representing both functions, to explain to your boss the solution to the system of equations and what that solution represents. Use complete sentences.

Answers

Answer:

The solution to the system of equations would be if the number of imports and exports are the same. In this case, the solution is January because the number of imports and exports are both 3.

Step-by-step explanation:

I’m smart

convert 2FA.C8 base 16. express in Octal form, Quinary or pental form and Binary form​

Answers

Using base conversion method, 2FA.C8 base 16 can be expressed as:

1372.628 in octal11022.3423120034 in pental1011111010.11001 in binary

What is 2FA.C8 base 16 expressed in Octal form?

To express 2FA.C8 in octal form, it is first converted to a decimal form as follows:

where:

F = 15

A = 10

C = 12

2FA.C8 = 2 × 16^2 + F × 16^1 + A × 16^0 + C × 16^-1 + 8 × 16^-2

2FA.C8 = 762.7812510 in decimal.

Then, convert 762.7812510 to octal as follows:

First the integral part is converted to octal by repeated division by 8.The fractional part is converted to octal by repeated multiplication by 8 until we get to zero (here, we calculate up to ten digits)add the integral and fractional part together

762 / 8 = 95 remainder 2

95 / 8 = 11 remainder 7

11 / 8 = 1 remainder 3

1 / 8 = 0 remainder 1

762 = 1372

Then;

0.78125 × 8 = 6 + 0.25

0.25 × 8 = 2 + 0

0.78125 = 0.62

Therefore, 762.78125 in decimal = 1372.628 in octal

What is 2FA.C8 base 16 expressed in pental form?

To convert 2FA.C8 base 16 to pental form, we use its value in decimal for conversion.

2FA.C8 base 16 = 762.7812510 base 10

Then, convert 762.7812510 to pental as follows:

First the integral part is converted to pental by repeated division by 5The fractional part is converted to pental by repeated multiplication by 5 until we get to zero (here, we calculate up to ten digits)add the integral and fractional part together

762 / 5 = 152 remainder 2

152 / 5 = 30 remainder 2

30 / 5 = 6 remainder 0

6 / 5 = 1 remainder 1

1 / 5 = 0 remainder 1

762 in decimal = 11022 in pental

Then 0.78125 to pental:

0.78125 × 5 = 3 + 0.90625

0.90625 × 5 = 4 + 0.53125

0.53125 × 5 = 2 + 0.65625

0.65625 × 5 = 3 + 0.28125

0.28125 × 5 = 1 + 0.40625

0.40625 × 5 = 2 + 0.03125

0.03125 × 5 = 0 + 0.15625

0.15625 × 5 = 0 + 0.78125

0.78125 × 5 = 3 + 0.90625

0.90625 × 5 = 4 + 0.53125

Thus, 0.78125 in decimal = 0.3423120034 in pental

Therefore, 762.78125 in decimal = 11022.3423120034 in pental.

What is 2FA.C8 base 16 expressed in Binary form?

To convert 2FA.C8 base 16 to binary form, we use its value in decimal for conversion.

2FA.C8 base 16 = 762.7812510 base 10

Then, convert 762.7812510 to binary as follows:

First the integral part is converted to binary by repeated division by 2The fractional part is converted to binary by repeated multiplication by 2 until we get to zero (here, we calculate up to ten digits)add the integral and fractional part together

762 / 2 = 381 remainder 0

381 / 2 = 190 remainder 1

190 / 2 = 95 remainder 0

95 / 2 = 47 remainder 1

47 / 2 = 23 remainder 1

23 / 2 = 11 remainder 1

11 / 2 = 5 remainder 1

5 / 2 = 2 remainder 1

2 / 2 = 1 remainder 0

1 / 2 = 0 remainder 1

762 base 10 = 1011111010 base two

Then 0.78125 to binary:

0.78125 × 2 = 1 + 0.5625

0.5625 × 2 = 1 + 0.125

0.125 × 2 = 0 + 0.25

0.25 × 2 = 0 + 0.5

0.5 × 2 = 1 + 0

0.78125 base 10 = 0.11001 base two

Therefore, 762.78125 base 10 = 1011111010.11001 base two.

Learn more about base conversion at: https://brainly.com/question/17946394

Please helppppppppppppp

Answers

Answer: 113 ez

Step-by-step explanation: back in my day i used to calculate sum shots

Phillip hod 45 marbles. He gave 2/3 to his Brother. How many marbles did he give to his Brother?

Answers

Answer:

15

Step-by-step explanation:

3/3 = 45

2/3 = ?

3/3 - 2/3 = 1/3

1/3 * 45 = 15

Answer:

30

Step-by-step explanation:

45/3=15

15x2=30

What’s the correct answer for the question?

Answers

Step-by-step explanation:

the dosage information bases only on age, on weight and the level of the fever. but we have no information about the fever.

so, we assume the fever is below 102.5° F.

the age is with 18 month in the valid range (0.5 to 2 years old) for the dosage.

so, all is left is to do the calculation about the weight.

24 pounds is based on the given information (1 kg ≈ 2.2 pounds) :

24/2.2 = 10.909090909... kg

this is rounded to full kg : 11 kg

the child should get 5 mg per kg, so this child has to get

5×11 = 55 mg

Rectangular park is 85m wide and 125 long. Given the length and width of another rectangular park that has the same perimeter but a larger area.

Answers

Explain it again please brother
Cm cm

1,2,3,5 and 7 are all common factors of two numbers.
Write down the digit that the two numbers end in

Answers

Answer:

After our solar system began to form, dust and gas combined into small bodies that formed the planets. What are these small bodies called?

dwarf planets

gas giant planets

planetesimals

terrestrial planets

Step-by-step explanation:

what is the value of 5 at is used in this 102,587

Answers

500 as it is in the hundreds place

Answer:

hundreds

Step-by-step explanation:

It is the third digit from right which is 100

Another example say 700 what is the value of the 7=hundreds because it it 3rd digit from right

Hope it helps :)

Imagine this: The government has passed a new law: there will be no music allowed, of any kind, anywhere! Create a presentation addressing the President where you defend the value of music to humankind. Be sure to include:

The three roles of music
Financial benefits of concert attendance to the community
Academic and emotional benefits of music
Two scenarios that demonstrate what you imagine life will be like if the law stands and music is not allowed
Specifics:

Presentation must be at least ten slides long
Presentation must include four photos and one video
Please use at least four sources and list them on the last slide
It is fine to use internet sources, but be sure that they are trustworthy. Good internet sources are ones like: government websites (.gov), national and regional newspapers, academic journals, or books that are available in digital format

Answers

Answer: music is how we move on we can clean up why music is playing music is part of our hearts it can help keep calm to our hearts other people hearts to other people listen to other music, people and dogs, cats and other animals listen to music to they dance, most importantly they can help you sing and learn dance moves and other stuff people like dancing and sing to the music and they love other music that can keep them calm, even have music in gyms, stores, malls, and other places music is a part of our lives and no one can stop us from playing except for the government. The government can see if we playing music so watch out but music is a part  of our lives so please dont take the music down

branliest please iv been typing this for half an hour

The presentation defends the value of music by highlighting its roles, financial benefits, academic and emotional advantages, and potential consequences of a music ban.

The presentation bullet points

Presentation: Defending the Value of Music

Introduction:

- Address to the President regarding the importance of reconsidering the ban on music.

Role of Music:

1. Artistic Expression:

  - Music as a powerful means of artistic expression, reflecting diverse emotions and cultures.

  - Enables individuals to convey feelings and thoughts that words alone cannot express.

2. Universal Language:

  - Music transcends language barriers, connecting people from different backgrounds.

  - Promotes understanding, unity, and global harmony.

3. Emotional Solace:

  - Music's therapeutic effect on mental well-being, reducing stress and anxiety.

  - Offers a way to cope with life's challenges and connect with our emotions.

Financial Benefits of Concerts:

- Concert attendance stimulates local economies:

  - Boosts revenue for local businesses, such as restaurants, hotels, and shops.

  - Increases tourism, leading to job creation and economic growth.

Academic and Emotional Benefits:

- Academic Advantages:

  - Studies show music enhances cognitive skills, improving memory, problem-solving, and creativity.

  - Supports learning in subjects beyond music.

- Emotional Benefits:

  - Music as a source of comfort during difficult times.

  - Fosters emotional intelligence, empathy, and self-expression.

Scenarios Without Music:

1. Social Gatherings:

  - Without music, celebrations lack vibrancy and energy.

  - Diminished cultural and social interactions at gatherings.

2. Education System:

  - Music contributes to a well-rounded education, fostering creativity and discipline.

  - Absence of music results in a less dynamic and engaging learning environment.

Conclusion:

- Urgent call to reconsider the ban on music:

  - Acknowledge music's integral role in human life.

  - Preserve its positive impact on society, economy, education, and emotional well-being.

Closing Remarks:

- Thank the President for considering the importance of music to humankind's holistic development.

Learn more about presentation at:

https://brainly.com/question/24653274

#SPJ3

Other Questions
anyone know the answer to this? Dimond has 350$ in her bank account . She wrote 4 checks for 18.45$ each and 2 checks for 51.25$ each. what will be the balance in dimonds account after the checks are cashed? Glenda and Fiero are at a restaurant eating meal that costs $30. They have a discount coupon that gets them 10% off the cost. If they pay the waiter a tip of 8% of their bill, how much are they spending on dinner including tip? (I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $29.16)) 13. Who are the Tramecksans and Slamecksans in the novel? Whom does Swift mean to satirize and what does he want to point out? 6. The value of a car depreciates by 22.5% per year. After how many years isthe value of the car first less than 40% of its original value GIven m is parallel to n, find the value of x and y How far will an object go if it is moving at a speed of 55 km/hr, and moves for 6.3 hours? The base of a rectangle is 1 cm less than twice its height. The area is 45 cm2, find the dimensions of the rectangle. Rewrite the expression below by completing the square. 1. In which of the following forms of government does the mayor have the least executivepower?A. strong mayor-councilB. weak mayor-councilC. council-managerD. consolidated PLEASE PLEASE HELP AND PLEASE the abscissa of a point is -6 and its distance from the point (1,3) is 74. find the ordinate of the point (100 POINTS AND BRAINLIEST ASAP) Why are juries required to render a unanimous decision rather than a majority decision in most criminal cases. Anastasia Subscribe to a website for processing her digital pictures The subscription is $6.25 per month and 4-by -6 inches prints are $ 0.25 each how many prints dose Anastasia Purchase if the charge for January is $15.75 ? 5. Which of the following best describes the effect of coral bleaching on corals?A. As temperatures increase, corals lose symbiotic algae, which provide most of their habitatB. As temperatures decrease, corals lose their symbiotic algae, which provide most of their energy.C. As temperatures increase, corals lose their symbiotic algae, which provide most of their energy.D. As temperatures increase, corals gain symbiotic algae, which hinder their ability to conduct photosynthesis. Read the passage below. Once you have read the story, explain what episodes show the climax of the story. Explain your answer in one or two sentences.Laurel woke up to the sound of her banging alarm. She was startled and yet excited to start her first day of middle school. Her outfit was ready, and her lunch was packed. She even bought new pens and notebooks for the new school year.As she sat on the bus in her new clothes, she started to feel nervous. What if she didn't like her teachers? What if middle school was too hard? What if she didn't have anyone to sit with at lunch? Laurel could feel her stomach churning with fear. Then, at the next stop, her best friend, Norma, got on the bus. As Norma sat right next to her, Laurel knew everything would be okay as long as she had her best friend. I need help on question 16 PLEASE HURRY AND ANSWER What was the outcome of the War of 1812 for the United States?O A.The United States acquired islands in the Caribbean..The United States lost the land in the West.OC.The United States did not gain or lose any land.OD.The United States acquired parts of Canada. Now that you've analyzed the two articles about climate change,write an essay about them. Use the worksheet you just completedand one of the suggested structures below to write an essaycomparing and contrasting the two articles. When you havefinished your essay, submit it to your teacher. Your assignmentwill be graded based on whichever structure you choose. Please help I will give brainliest.