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

Determine the slope and y-intercept of a line that passes through the points (2, 4) and (–4, 1).
m = [ A. –2.5 , B. –1.5 , C. 0.5 ]
b = [ A. 3, B. 7, C. 9 ]

Answers

Answer:

hhhhhhhhhhhhiiiiiiiii

At a pumpkin stand, Fei bought 3 pumpkins: one large, one medium, and one small. The large pumpkin cost twice as much as the medium one, and the medium pumpkin cost three times as much as the small one. Fei spent $20 in total. How much did the large pumpkin cost?

Answers

Answer:

Step-by-step explanation:

lets put the small pumpkin as x that means medium is 3x and large is 6x

so we have a equation

x+6x+3x=20

combine them

10x=20

divide by 10

x=$2

Answer:

2

Step-by-step explanation:

you really should stop the noetic tests

A patients IV bag contains 750mL. Four hours later, the IV bag contains 450mL.

a) Determine the rate at which the bag is draining.
b) Use your answer from (a) to predict how many mL of IV fluid are left in the bag after 6 hours.

Answers

Answers:
a) 75ml/hr
b) 0ml left

Explanation:
a) 750ml - 450ml = 300ml (This is how much we know the bag drained within 4hrs)

300ml/4=75ml

so now we know the rate of drain is 75ml/hr

b) since rate is 75ml/hr:
75*6=450
450-450=0

Hence there will be no fluid left for the patient.

(a) The rate at which the bag is draining is 75mL/h.

(b) After 6 hours, the remaining fluid is =0 mL.

What is rate?

Rate is a measurement of change of a quantity with respect to another quantity.

Given that,

Initial volume of bag=750 mL,

After 4 hours later, the volume of bag= 450.

(a)

To determine the rate of draining,

The change of volume in 4 hours= 750-450=300

The change of volume in 1 hour = 300/4=75

So, the rate of draining= 75mL

(b)

To determine the remaining volume of bag after 6 hours,

The volume drains in 1 hour=75 mL

The volume drains in 6 hours = 75×6=450

The remaining fluid = 450-450=0

The fluid remains after 6 hours is 0mL.

To know more about Rate on :

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Due Tomorrow: Answer question 21 with steps

Answers

[tex]\\ \sf\longmapsto tan28=\dfrac{BC}{AC}[/tex]

[tex]\\ \sf\longmapsto 0.5317=\dfrac{BC}{29.3}[/tex]

[tex]\\ \sf\longmapsto BC=29.3(0.5317)[/tex]

[tex]\\ \sf\longmapsto BC=15.5mi[/tex]

Now

[tex]\\ \sf\longmapsto AB^2=29.3^2+15.5^2[/tex]

[tex]\\ \sf\longmapsto AB^2=848.49+240.25[/tex]

[tex]\\ \sf\longmapsto AB^2=1088.74[/tex]

[tex]\\ \sf\longmapsto AB=32.9mi[/tex]

7. Jairaj has 20 50-cent and 10-cent coins altogether. He has a total of $6.80 How many 50-cent coins does he have?​

Answers

Jairaj has 13 50 cent coins

Answer:

He will have 8 50-cent coins

Step-by-step explanation:

Let x = the number of 10-cent coins

Let y = the number of 50-cent coins

x + y = 20         y = 20 - x

[Set up an equation] .10x + .50y = 6.80

[Multiply both sides by 100] 10x + 50y = 680

[Plug-in] 10x + 50(20 - x) = 680

[Multiply] 10x + 1,000 - 50x = 680

[Combine like terms & subtract 1,000 from both sides] -40x = -320

[Divide both sides by -40] x = 8 coins

Have a nice day! - hopefully this is correct, I got a bit turned around for a bit lol

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Which point on the number line could represent
-2
7?
ABC D
十十一十十一十
-5 -4 -3 -2 -1 0 1 2
+
4 5
3
A
O
B
ОО

Answers

Answer:

B

Step-by-step explanation:

since the value is -2 1/4, the point must be less than -2, so it cant be C or D. Since A is less than -3, it cant be A so the point is B

Find the value of y when x=-4
4. 1/3y=2(x-1/6) 5. -6x-y=17.75

Answers

Answer:

1/3y=2(-4-1/6)

The first one answer is y=-25

-6×-4-y=17.75

The second answer is y=6.25

I need help. Im in 6th grade and I'm so confused. IT IS SAYING I NEED TO UPGRADE TO SEE THE ANSWER> NOO

Answers

Answer:

i can help with the problem

The equation C=5(F−32)9 can be used to convert temperatures in degrees Fahrenheit to degrees Celsius.




State of Water Temperature (°F)

Freezing Point 32

Boiling Point 212



Find the freezing point and boiling point of water in degrees Celsius.




a. freezing point:

°C




b. boiling point:

°C

Answers

The part wasted at the consumer or retail level is referred to as food waste. We make this distinction to address the root.

Answer:

Both of the freezing points would be °C

Abby bought 5 chocolate bars from the store. She gave 1/4 a bar to her firends. How many freinds got chocolate

Answers

Answer:

5

Step-by-step explanation:

Just 1/4 from each of 5 bars so 5.

Answer:

20

Step-by-step explanation:

So if we divide 5 by 1/4 that gives us 20, which is the total amount of friends she can give 1/4 of a bar too

hello can someone help me on this question

Answers

Answer:

what question

Step-by-step explanation:

Alex has 14 bulbs to make a string of holiday lights. How many distinct arrangements can he make if
he has 3 red bulbs, 4 green bulbs, 2 blue bulbs, and 5 yellow bulbs?

Answers

We have "9 sockets choose 3" for the 3 red lights. That's (9C3) ways.

After screwing in those 3 red bulbs, there remain only 6 open sockets.

We have "6 sockets choose 4" for the 4 yellow lights. That's (6C4) ways.

After screwing in those 4 red bulbs, there remain only 2 open sockets.

We have "2 sockets choose 2" for the blue lights. That's (2C2) = 1 way.

After screwing in those 2 bulbs, all the sockets have a bulb in them.

Answer (9C3)(6C4)(2C2) = 1260.

About how tall would you expect one of these trees to be after 22 years? 22.31ft. 35.2ft. 44.25ft. 46.2ft.

Answers

Answer:

The correct answer is C, 44.25. I just took the test....

Step-by-step explanation:

what is 1483 divided by 7? what is the remainder​

Answers

Answer:

211 remainder 6

Step-by-step explanation:

Step-by-step explanation:

211,85714

211 is the whole number

,85714 is the remainder

Simplify the following and write your answer in simplest radical form:

√-14*√-22

Answers

Hopefully this helps you

Steps are in the attachment.

Note :-

=》2 is taken as negative & also taken out of the square root as it's the common factor.

______

⚜ Hope it helps :))

A clothing company makes a profit of $2.3 million. This is $4.1 million more than last year. What was the profit last year?

Answers

Answer:

-1.8 million. This means that the business likely spent a lot on production and generated very little sales during the first year.

Step-by-step explanation:

2.3 - 4.1= -1.8

5 lb 6 oz = __________ oz
Explain yourself

Answers

Answer:

86 oz

Step-by-step explanation:

1 lb = 16 oz

5 lb * 16 oz = 80 oz

80 oz + 6 oz = 86 oz


Evaluate −|a| when a=60.

Answers

Answer:

-60

Step-by-step explanation:

Any number within the absolute value sign is always positive.

−|60|  

- x 60  Negative sign times 60

=-60

Hope this helps :)

Select two answers from below. x=_ and then which theorem justifies your answer.
(2x + 2)
(3x -63)
m
a
x=63
x=64
Ob
c
roob.
X=65
X=66
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Same Side Interior Angles
f

Answers

Answer:

c. x=65

f. Alternate Exterior Angles

Step-by-step explanation:

2x+2=3x-63

2x=3x-65

-x=-65

x=65

They would be Alternate Exterior Angles because, they are 1, both on the outside of the parallel lines, and they are on different sides of the intersecting line, making them alternate. So, Alternate Exterior Angles

Pls help this is timed and I don’t understand

Answers

Answer:

178

Step-by-step explanation:

All right!!

Line l is parellel to line m.

So if r is 91 then we can infer that s helps it make a 180 degree angle/straight line.

So 180 - 91 = 89

s = 89

If the two lines are parallel then s = u because of inner angles/outer angles stuff.

If s=u then u = 89 as well.

And because of vertical angles, t =u so t = 89.

Now the question asks to find t + u, so t + u = 89 + 89 = 178

Hope that helps!!

Evaluate.

12⋅(1/4+1/3)power 2 +23 help ASAP

Answers

Answer:

325/12

Step-by-step explanation:

12(1/4 + 1/3)² + 23

12(7/12)² + 23

12(49/144) + 23

49/12 + 23

325/12 = 27 1/12 = 27.08333333


1. What percent of 120 is 18?

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

120 · 15% = 18

I hope this helps!!

Fast help on this!!

Answers

Answer:

5 seconds

Step-by-step explanation:

hope it helps

correct me if i'm wrong


You want to buy some noodles. A 7-ounce package costs $2.24. A 12-ounce package costs $4.08.
An 18-ounce package costs $5.58. Which package is the best buy?

Answers

2.24 divided by 7 is 0.32

And 5.58 divided by 18 is 0.31

So 5.58 is cheaper

If sin theta < 0 and cot theta < 0, which quadrant(s)

could the terminal side of theta lie?

Answers

Answer:

Step-by-step explanation:

sinθ < 0 means below the x axis

cotθ = cosθ/sinθ < 0

As sinθ  is already < 0 means cosθ has to be > 0 meaning right of the y axis.

Right of y and below x is the IV quadrant.

The quadrant in which angle theta lie if sin theta < 0 and cot theta < 0 exists Quadrant IV (4).

What is meant by Trigonometric Identities?

Trigonometric Identities are equality conditions that hold for all possible values of the variables in the equation and use trigonometry functions. There exists numerous unique trigonometric identities that relate a triangle's side length and angle.

here, we have,

Sine, cosine, and tangent are the fundamental three operations in trigonometry. The cotangent, secant, and cosecant functions are derived from these three basic functions. On these functions, all trigonometrical notions exists built.

Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These exists identities that, geometrically speaking, involve certain functions of one or more angles.

we have,

sinθ < 0 means below the x axis

cotθ = cosθ/sinθ < 0

As sinθ  is already < 0 means cosθ has to be > 0 meaning right of the y axis.

Right of y and below x is the IV quadrant.

Hence, The quadrant in which angle theta lie if sin theta < 0 and cot theta < 0 exists Quadrant IV (4).

To learn more about trigonometric identities refer to:

brainly.com/question/7331447

#SPJ2

What is the product of -13/8 and 24/5

Answers

Answer:

-7 4/5 or -7.8

Step-by-step explanation:

Product means multiplication

( - 13/8 )( 24/5)

= (-13 · 24)/(8 · 5)    negative · positive = negative

= - 312/40

=  -7  32/ 40 = -7 4/5 or 7.8


[tex]simplify : \: \sqrt{5(2 \frac{3}{4}) - \frac{3}{10} } .[/tex]
Who will answer they will get Today Brainliest.​

Answers

Answer:

Given that;

√[5{2(3/4)} - (3/10)]

⇛√[5{11/4 - 3/10}]

Take the LCM of 4 and 10 is 40.

⇛√[5{(55-6)/20}]

⇛√[5{(49/20)}]

⇛√(49/4)

⇛√(7²/2²)

⇛√(7/2)²

⇛√7*7/√2*2

⇛7/2 ≈ 3(1/2) or 3.5 Ans.

Hope this helps!!

Mary’s sister is 7 years older than Mary. Their combined ages add up to 35. How old is Mary

Answers

Answer:

Mary - 14

Mary's sister - 21

Step-by-step explanation:

Let x be the age of Mary = x

age of Mary's sister = x + 7

Add up to 35

x + x + 7 = 35

2x = 35 - 7

2x = 28

2x/2 = 28/2

x = 14

Now substitute the value of x

Mary = 14

Mary's sister = 14 + 7 = 21

21 + 14 = 35

If 2 students can clean the classroom in 20 min. How long will it take 8 students to clean the classroom?
(1) 160 min
(2) 80 min
(3) 5 min
(4) 10 min

Answers

Answer:

5 MIN

Step-by-step explanation:

1.02 = _____ hundredths

Answers

102 hundredths

102/100

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