Rick’s Rentals is a car rental company that uses the function f(x)=22+0.10x to determine the to
tal cost of a rental as a function of how many miles a person drives. Penny’s Pencils is another company that uses a similar function g(x)=22+0.10x to determine the total cost of an order of personalized pencils as a function of the number of pencils ordered. Determine the domain and range of the company whose function is continuous and justify your answer.

Answers

Answer 1

Answer:

Step-by-step explanation:

The number of miles driven is sometimes written as a mixed number, and thus is a continuous variable (whereas the number of pencils purchased is not continuous (it's a whole number).

The domain of the continuous function are [0, n), where n represents the number of miles driven and is rarely over about 500 miles per day; the range is [$22, r), where r is ($0.10/mile)(number of miles driven), or approximately $50.  If the renter drove 600 miles the upper end of the range would be $60.  And so on.


Related Questions

the numbers one through 10 are written on individual cards and place in a bag. If you reach into the bag to pull out card what is the probability that it will be a 7​

Answers

Answer:

1 in 10 chance

Step-by-step explanation:

There are 10 cards, so since you reach into the bag and pull out only 1 card, there is a 1 in 10 chance.

Round 2,913 to the nearest ten

Answers

Answer:2,910

Step-by-step explanation:

Answer:

2910

Step-by-step explanation:

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

At a coffee shop, a latte costs $5.50 and
hot tea costs $1.75. Each day, Parker
buys 2 hot teas and several lattes for
his office staff. Which equation can be
used to find y, Parker's total cost, if x
represents the number of lattes? (7.1A,
7.1B, 7.1D, 7.1F)
A y = 5.50x + 3.50
BY 5.50x + 1.75
C y = 1.75x + 5.50
Dy = 3.50x + 5.50

Answers

Answer:

A) y = 5.50x + 3.50

Step-by-step explanation:

2 x 1.75 = 3.50 + x number of lattes $5.50 each.

Six times a number plus 7 is equal to 55. What is the number?

Answers

Answer:

6x_+7=55, the answer is 13, why? well because if you add 6+7 you will have 13, now you can multiple that by 5, and you will have 55 as an answer, did I helped you?

The rabbit will never go over 75 pounds. If this rabbit is bom in July weighing 2 pounds, in which month will it weigh around 46 pounds?

Answers

The answer is June your welcome

A local hamburger shop sold a combined total of 637 hamburgers and cheeseburgers on Wednesday. There were 63 fewer cheeseburger sold than burgers. How many hamburgers were sold on Wednesday?

Answers

X + x-63=637
2x=700
X=350
Burgers=350
Cheeseburgers=350-63
Cheeseburger=287

Original price of a comics book $2.95 Discount 10% Tax 5%

Answers

Answer:

The price of the comic book would be $2.79 after the discount and the tax.

We first take 10% of 2.95 or 0.295 from 2.95 to get our first value of 2.66.

Then we add 5% of 2.66 or 0.133 back to 2.66 to get our last value of 2.79.

Step-by-step explanation:

hope this helps. . . <3

good luck!    uωu

itements are true.
Choose all answers that apply:
The equation represents a proportional relationship.
B
The unit rate of change of y with respect to z is 1.4.
o
5
The slope of the line is
7
50
A change of 2 units in I results in a change of 2.8 units in y.
-pts
A change of 3 units in a results in a change of 1.2 units in y.

Answers

All the statements that are true as regards the proportional relationship of the graph are;

A. The equation represents a proportional relationship

B. The unit rate of change of y with respect to x is 1.4

C.  The slope of the line is 7/5

D. A change of 2 units in x results in a change of 2.8 units in y

What is the proportional relationship of the graph?

The slope intercept form of the equation of a straight line is;

y = mx + b

where;

m is the slope.

b is the y-intercept.

Since the equation is given as y = 1.4x, then the slope is 1.4 and the y-intercept is 0.

A. The equation represents a proportional relationship;

This is true since the equation because y is always 1.4 times as large as x from the given equation relationship.

B. The unit rate of change of y with respect to x is 1.4;

This is true because when we divide both sides by 1.4, we will get;

y/x = 1.4

C.  The slope of the line is 7/5;

This means that the slope is 7/5 = 1.4. This is same as the slope given and it is true.

D. A change of 2 units in x results in a change of 2.8 units in y;

This means that the slope is 2.8/2 = 1.4. This is same as the slope given and it is true.

E.  A change of 3 units in a results in a change of 1.2 units in y;

This means that slope = 1.2/3

This is not equal to our given slope and so is not true.

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Find the absolute maximum and minimum values of the following function on the given region R. f(x,y)=5x2+5y2−10x+21​; R=(x,y): x2+y2≤4, y≥0

Answers

We first compute the partial derivatives of f(x, y):

f(x, y) = 5x² + 5y² - 10x + 21

∂f/∂x = 10x - 10

∂f/∂y = 10y

The critical points of f occur where both ∂f/∂x and ∂f/∂y are equal to zero. This only happens at the point (x, y) = (1, 0). (And this point does lie inside R.)

Next, compute the Hessian matrix H(x, y) for f :

[tex]H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2 f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}10&0\\0&10\end{bmatrix}[/tex]

Since det(H(x,y)) = 100 is positive for all x and y, this means the critical point (1, 0) is a local minimum, and we have f(1, 0) = 16.

Next, we check for extrema along the boundary of R, which is comprised of a semicircle with radius 2 and the line segment connecting (-2, 0) and (2, 0).

• Parameterize the semicircular portion by

x(t) = 2 cos(t)

y(t) = 2 sin(t)

with 0 ≤ t ≤ π. Then

f(x(t), y(t)) = 20 sin²(t) + 20 cos²(t) - 20 cos(t) + 21

which is simplifies to a function of one variable t,

g(t) = 41 - 20 cos(t)

Find the extrema of g over the interval [0, π] : we have critical points when

g'(t) = 20 sin(t) = 0

which happens at t = 0 and t = π. At these points, we get local extreme values  of

•• t = 0   =>   x = 2 and y = 0   =>   f(2, 0) = 21

•• t = π   =>   x = -2 and y = 0   =>   f(-2, 0) = 61

• Over the line-segment portion, we take y = 0, so f(x, y) again reduces to a function of one variable:

f(x, 0) = 5x² - 10x + 21

Completing the square, we have

5x² - 10x + 21 = 5 (x - 1)² + 16

which has a maximum value of 16 when x = 1 (and this happens to be the critical point (1, 0) we found earlier).

So, over the region R, f(x, y) has

• an absolute maximum of 61 at the point (-2, 0), and

• an absolute minimum of 16 at (1, 0)

Need the answer to this pls

Answers

Answer:

0

Step-by-step explanation:

1. First, we should know the slope-intercept form of any equation: y = mx + b.

y = y-coordinatem = slopex = x-coordinateb = y-intercept

2. In the equation y = -2/3(x), it appears that the variables we can see are y, m, and x. However, the y-intercept, b, is still there with the value of 0.

Additionally, this is a proportional relationship because it follows the format y = kx. Proportional relationships always have a y-intercept of 0.

Therefore, the y-intercept is 0.

the sum of 22 and n is equal to 45.13

Answers

Answer:

23.13

Step-by-step explanation:

A store pays $306.56 for a refrigerator. The store marks up the price by 29%. What is the amount of the mark-up?

Answers

The price of the mark up would be 395.4624

I got this by doing:
306.56 x 29/100 = 88.9024
88.9024 + 306.56 = 395.4624

306.56x29%= 88,9024
306.56-88,9024= 217,6576

A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). If each window is 3 feet by 5 feet, determine the area of the space to be painted.

Answers

Answer:Measure length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length.

Step-by-step explanation:

The required area that is to be painted is given as   150 square feet.

Given that,
A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). each window is 3 feet by 5 feet,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Area of the wall = 12 × 15 = 180 square feet
Area of the two windows, = 2 × 3 × 5 = 30 square feet
Area to be painteded = 180 - 30 = 150 square feet,

Thus, the required area that is to be painted is given as   150 square feet.

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Find the values of x and y.

X =
y =

Answers

Answer:

y=5

x=45

Step-by-step explanation:

I am not quite sure of x but I am positive for the value of y

If P = {3, 5, 7, 11, 13, 17, 19), what is n(P)?

Answers

Answer:

the n(P) of P = {3, 5, 7, 11, 13, 17, 19} is "128".

Step-by-step explanation:

n(P) is the Cardinality of the set P. Its formula is 2^k.

where k = number of elements in the set.

Hope this helps :)

Can someone please help me

Answers

Answer: i don''t know the answer im sorry i hope someone helps you :)

Step-by-step explanation:

6. A quadratic function has a minimum at (6,-2) and an x-intercept at (10,0).
What is the other x-intercept?

Answers

Answer:

(2,0)

Step-by-step explanation:

The minimum is 4 units from the x intercept on the x axis.

Since this is a quadratic, values on the same y should be equidistant from the min or max on the x axis.

6+4=10

6-4=2

The other x intercept is at (2,0)

4. Ms. Bragg is giving a test worth 100 points. The test contains a total of 40 questions. Some questions are worth 2 points and some questions are worth 4 points on the test. Write a system of equations to determine how many of each type of question are on the test. A) Define your variables. You can use any letters you want) B) Write your system of equations. (There should be 2 separate equations)​

Answers

9514 1404 393

Explanation:

A)

Let t and f represent the numbers of two-point and four-point questions, respectively.

__

B) The number of points for each type of question is the product of the point-value per question and the number of questions of that type.

  2t + 4f = 100 . . . . . the test is worth 100 points

  t + f = 40 . . . . . . . . there are 40 questions on the test

_____

Additional comment

The test will have 30 two-point questions and 10 four-point questions.

On a sunny day, Jameson casts a shadow of 11 feet and the lamppost in the parking lot casts a shadow of 66 feet. If Jameson is 6 feet tall, how tall in the lamppost?

Answers

Answer:

36 feet

Step-by-step explanation:

shadow/height = shadow/height

11/6 = 66/h

h = 66 * 6 / 11

h = 36

29. Which set of integers is listed in order from least to greatest?
5,8,-9, -10
-5, -3, -2,7
O-5, 4, -2, -7
O 5, 4, 2, -1

Answers

Answer:

It would be the second set of numbers.

Step-by-step explanation:

Find the missing number in the following series: __ 85 81 83 79 81 77

Answers

Answer:

83

Step-by-step explanation:

The pattern is -4 then +2

If two fair dice are rolled, find the probability that the sum of the dice is 9, given that the sum is greater than 5.
The probability is

Answers

Answer:  2/13

=====================================================

Explanation:

Refer to the dice chart below. It represents all possible ways to roll two dice and sum up the face values.

According to the table, there are...

A = 1 copy of the sum "2"B = 2 copies of the sum "3"C = 3 copies of the sum "4"D = 4 copies of the sum "5"

There are A+B+C+D = 1+2+3+4 = 10 instances where we get a sum between 2 and 5. The table shows 6*6 = 36 sums total. This means there are 36-10 = 26 sums where they are between 6 and 12, aka "the sum being greater than 5".

Those 26 sums are what we focus on. Out of those 26 items, four of them are sums of "9".

The probability we want is therefore 4/26 = 2/13

The probability that the sum of the dice is 9, given that the sum is greater than 5 is 0.154

See attachment for the sample space of a roll of two dice.

From the attached sample space,

The number of sum greater than 5 is: 26The number of sum greater than 5 that is 9 is: 6

Represent the events that a sum is greater than 5 with A, and a sum is greater than 5 is 9 with B.

So, we have:

[tex]n(A) = 26[/tex]

[tex]n(A\ n\ B) = 4[/tex]

The probability that the sum of the dice is 9, given that the sum is greater than 5 is then calculated using:

[tex]Pr = \frac{n(A\ n\ B)}{n(A)}[/tex]

This gives

[tex]Pr = \frac{4}{26}[/tex]

[tex]Pr = 0.154[/tex]

Hence, the probability is 0.154

Read more about probability at:

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What is the quotient of 0 and 15?

15

-15

0

Undefined

Answers

ANSWER :

it's 0

Step-by-step explanation:

0 / 15 = 0 + 0/15 = 0

Undefined, I used a calculator

a store pays $26 for a lamp. The store marks up the price by 40%. What is the amount of the markup

Answers

Answer:

$10.4

Step-by-step explanation:

mark me brainliest if u are kind

87 is 12.5% of what number?

Answers

Answer:

10.88

Step-by-step explanation:

to pass this school year i need more time on my computer, more time on edmentum, the thing is im all caught up with my work and all i need is to find a way to get more time, if someone could find out how long it takes before im "off task" so i can just touch my computer to start the time again, or if theres a different way plz plz lmk​

Answers

Answer:

you could start by making a definite timetable for yourself and try to get away so as to differentiate the time between your work your Edmonton and a time is spending a computer don't try to spend much more time when your computer because it's mainly due to procrastinating in during other work

PLZ HHHHHELP POINTSSS HERE

Answers

Answer:31

Step-by-step explanation:

Because

If u add 31+31=62

And 62+118=180

Brainliest please

Their measure is 31 degrees because there are 180 degrees in all angles combined and when you subtract 118 from 180, you get 62. That means both of the other angles combined is 62. To find each of the angles, just divide 62 by 2 and you’ll get 31.

A submersible is a type of underwater vessel. Suppose a submersible starts at a depth of 40 feet below sea level, represented by –40 feet. The table shows the submersible's change in depth from one minute to the next.

Answer the questions to find the depth of the submersible after 3 minutes.

1. Write and evaluate a subtraction expression to find the depth of the submersible at 2:16 p.m. (2 points)




2. Write and evaluate a subtraction expression to find the depth of the submersible at 2:17 p.m. (2 points)




3. Write and evaluate a subtraction expression to find the depth of the submersible at 2:18 p.m. (3 points)



4. If the submersible dove straight down, what is the distance between the submersible's starting position at 2:15 and its position at 2:18? Show your work. (3 points)

Answers

1. -40 - 180 = -220

2. -40 - 175 = -135

3. -40 - 185 = -225

4. 2:15 = -40

2:18 = 185

distance b/w them is = -40 - 185 = - 225

hope this answer helps you dear! btw I'm not sure but hope so this helps...!!

I agree with the first person that answered.

Which relation has a domain of (2, 4) and a rang of (2, 8)
A (2, 4) (2,8)
B (2, 2) (2,8) (4,2)
C{(2,4)(8,2)(8,4)}
D{(2,2)(2,4)(4,2)(8,8)}

Answers

Domain: x values
Range: y values
The relation would need to have (2, y) and (4, y). And also (x, 2) and (x, 8)
See which ones match

Solution: B

Aliyah went to the sandwich shop for lunch. She had a sandwich and a salad. Her total bill for lunch was $9.82. The salad she ordered cost $2.56. Which correctly shows how she determined the cost of her sandwich?​

Answers

Answer:

9.82 - 2.56 = 7.26 is the equation

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