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

how many ten thousand are in 1,000,000?​

Answers

Answer:

100

Step-by-step explanation:

10,000 * 100 = 1,000,000

So there are 100 ten thousands in 1,000,000

HELP PLSSSS OMG Round answer to nearest tenth too I KEPT GETTING I WRONG

Answers

Answer: where is the picture?

Reasoning if you know one angle measure of a parallelogram, how do you find the other three angle measures? Explain. ​

Answers

To find the other angles in a parallelogram if only one is given then you need to subtract the number with 180 to find the consecutive angles. With the theorem 6-5 opposite angles are congruent, so the opposite side would have the same value.

What is the value of y in y = 2x - 5, when x = 3.9?

Answers

Answer:

Y = -3 and with x as 3.9 y equals 2.8

Step-by-step explanation:

List at least five importance of having self discipline m following protocol during enhanced community quarantine in your respective barangay ​

Answers

Answer:

no clue -0- if I knew I would tell you

Consider the following data to determine whether there is a significant difference between the values of Group 1 and Group 2. Let the significance level be 5%. Group 1: 15, 17, 26, 11, 18, 21, 13, 29 Group 2: 23, 14, 24, 13, 22, 23, 18, 21 What rank will be given to the value 15

Answers

Using the t-distribution, it is found that since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.

At the null hypothesis, we test if the groups have the same values, that is, the subtraction of their means is 0:

[tex]H_0: \mu_2 - \mu_1 = 0[/tex]

At the alternative hypothesis, we test if the groups have different values, that is, the subtraction of their means is different of 0:

[tex]H_1: \mu_2 - \mu_1 \neq 0[/tex]

First, we have to find the mean and the standard deviation for both samples, hence, using a calculator:

[tex]\mu_1 = 18.75, \sigma_1 = 6.2507, \mu_2 = 19.75, \sigma_2 = 4.2678[/tex]

The standard errors are:

[tex]s_1 = \frac{\sigma_1}{\sqrt{n_1}} = \frac{6.2507}{\sqrt{8}} = 2.21[/tex]

[tex]s_2 = \frac{\sigma_2}{\sqrt{n_2}} = \frac{4.2678}{\sqrt{8}} = 1.5089[/tex]

For the distribution of differences, we have that:

[tex]\overline{x} = \mu_2 - \mu_1 = 19.75 - 18.75 = 1[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.21^2 + 1.5089^2} = 2.676[/tex]

We have the standard deviation for the samples, hence, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu[/tex] is the value tested at the null hypothesis, which is 0 for this problem. Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{1 - 0}{2.676}[/tex]

[tex]t = 0.37[/tex]

To find the p-value, we have a two-tailed test, as we test if the means are different from a value, with t = 0.37 and 8 + 8 - 2 = 14 df.

Using a t-distribution calculator, this p-value is of 0.72.

Since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.

A similar problem is given at https://brainly.com/question/15682365

Which choice is equivalent to the expression below?

5 SQR7-4x SQR7-xSQR7

A. 0
B.-2xSQR7
C.-X^2
D. 5 SQR 7 -5xSQR7

Answers

I think is the B, tell me if it's correct OK i'm trying to help

Answer:

5√7-5x√7

Step-by-step explanation:

Can someone tel me if the answers are correct ? Please

Answers

Answer:

huuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuh

Help help help help help help math sucks help

Answers

-24,16
16,8
-8,-24
Hope this helps.

Two of the angles in a triangle measure 58 degrees and 25 degrees. What must be the measure of the third angle?

Answers

97 degrees

add up the two and subtract by 180

Find the exact value of the expression below
Sec 30degrees Cos 30degrees - tan 60degrees cot 60degrees ​

Answers

Answer:

0

Step-by-step explanation:

1×2÷√(3)×√(3)÷2 - √(3)×1÷√(3)

1-1

0

for more refer to the image

A motor that’s rated at 1/8 horsepower is used to drive a pump. How much horsepower will be applied to the pump if the motor delivers only 2/7 of its rated horsepower?
A. 23/56
B. 1/28
C. 2/15
D.7/16

Answers

Based on the information given, the fraction of horsepower that will be applied to the pump will be 1l28.

From the information given, it can be seen that the motor is rated at 1/8 horsepower and used to drive a pump.

Therefore, the fraction of the horsepower that will be applied to the pump if the motor delivers only 2/7 of its rated horsepower will be:

= 2/7 × 1/8.

= 2/56

= 1/28

Learn more about fraction on:

https://brainly.com/question/25803541

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

The graph moved down 5 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

The best way to get an answer to this question is to study the graph you get when you study the result from Desmos, which is a free  graphing program.

Notice the way the graph is laid out. If the graph was simply y = x^2 - 6x  then the y value for the minimum value would be x = 3 (just like the 2 values you do get) and y = -9

But y = x^2 - 6x + 3 has you moving up 3 units to y = - 6 and y = x^2 - 6x + 8 moves you to y = - 1. Which way are you going? The difference is 5 units and you are moving down because you start  at y = x^2 - 6x + 8 and move down to x^2 - 6x + 3.

Without finding minimums (which is a cumbersome process which needs to be done twice) there's no easy way to do this except graphing.

The answer is B.

9.2 less than 3 times a number is the same as 21 1/4

Answers

Answer:

10.15

Step-by-step explanation:

3x-9.2 = 21.25

3x = 30.45

x = 10.15

Answer:

10.15

Step-by-step explanation:

I took the K12 test

sara buys two bags of chips and three boxes of pretzels for $ 85. He then buys another bag of chips and two more boxes of pretzels for $ 50. Find the cost of each bag of chips and each box of pretzels.

Answers

Answer:

Chips= $20    Pretzel=$15

Step-by-step explanation:

Sara bought 2 Chips + 3 Pretzels = $85

(Extra) 1 Chips + 2 Pretzels = $50

Pretzels are twice as much as chips so above ^^ Can be expressed

as Pretzel (15) + Pretzel (15) + Chips(20) = $50

Now lets go back to the first line Putting in the new prices

Chips(20) + Chips(20) + Pretzel(15) + Pretzel(15) = Pretzel(15) = $85

what are the first four terms in the sequence Tn=4n+9?

Answers

Answer: If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n - 1)d]/2

Can someone please help me I will mark u brilliant

Answers

Answer:

the correct answer is 7/20

What Value is equivalent to 30-6 x 3

Answers

Answer:

5/1

Step-by-step explanation: I could be wrong though

Have a Good Day <3

5/1 this should be right

Suppose that the radius of a sphere is divided by 9. What happens with the surface area?

Answers

Answer:

Rad/9

Step-by-step explanation:

using the rectangle below calculate the values of x and y

Answers

Answer:

x=4, y=9/7

Step-by-step explanation:

We will use the property that the opposite sides of a rectangle are equal

3(3y-1)=2(y+3)

9y-3=2y+6

7y=9

y=9/7

2x=4(x-2)

2x=4x-8

2x=8

x=4

PLEASE HELP GIVING BRAINLIEST

Answers

Answer:

A.10,4

B.5,10

C.5,5

D4,4

Step-by-step explanation:

KERE ON LERNER?

Write the equation of the line passing through (-2, 1) and parallel to the line whose equation
is y = 2x + 1. Express the equation in point-slope form and slope-intercept form.

Answers

Answer: y=2x+1 (slope intercept form) & y-1=2(x+2) (point slope form)

Step-by-step explanation:

Parallel means the m value or slope are equal

Given those points and the slope you can begin to write the slope y intercept form

y=2x+B

Solve B or Y intercept x=0 and the Y value we get from the given points.

1=2*0+B

y=2x+1 (slope intercept form)

for point slope plug the points in this equation

y-y1=m(x1-x1)

y-1=2(x+2) (point slope form)

For constant term: f(a,b,g(t)), pattern term: f(a,Y,X) when pattern matching we can use the following assignment Y=b and X=g(t) to make the two terms match.

Note: A variable in the pattern is allowed to match anything in the other structure.

What do the uppercase letters X,Y represent?

Answers

Answer:

fuctions and constants

Step-by-step explanation:

please mark as brainliest if it helped :D

Solve the equation for x:
x2 = 196

Answers

Answer: x= 1/196

Step-by-step explanation:

Name one problem-solving strategy and briefly describe how it can help you as a problem-solver.?

Answers

Answer:

Trial and error

Step-by-step explanation:

It can help you by testing mulitple solutions to decleare which one is best.

Which is an x-intercept of the graph of the

Answers

Answer:

(5π/8, 0)

Step-by-step explanation:

x intercept occurs when y = 0

0 = tan(x - 5π/8)

as tan0 = 0

x - 5π/8 = 0

x = 5π/8

F=8
e=0.2
When F=25 find x

Answers

Answer:

0.625

Step-by-step explanation:

hope it can help you lovelots

Fireworks are fired from the roof of a 100-foot building and travel 84 feet per second. The equation h = -16t 2 + 84t + 100 models the height h of the fireworks at any given time t seconds.

Answers

The firework reaches the ground after 6.25 seconds.

A projectile is the curved motion of an object thrown into space under the influence of gravity.

Given that the firework experiences a projectile motion given by the equation:

h = -16t² + 84t + 100

where h is the height after t seconds.

The firework reaches the ground when h = 0, hence:

0 = -16t² + 84t + 100

t = 6.25 seconds.

Therefore the firework reaches the ground after 6.25 seconds.

Find out more at: https://brainly.com/question/11422992

Write the equation of the line passing through the points (9,2 ) and (-3, -2)

Answers

Answer:

[tex]y=\frac{1}{3} x-1.[/tex]

Step-by-step explanation:

if A(9;2), B(-3;-2) then it is possible to make up the required equation according to the form:

[tex]1. \ \frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B}[/tex]

2. after the substitutuion X(A)=9; X(B)=-3; Y(A)=2 and Y(B)=-2 into the form:

[tex]\frac{x+3}{9+3} =\frac{y+2}{2+2}; \ => \frac{x+3}{12} =\frac{y+2}{4}; \ => \frac{x+3}{3} =y+2.[/tex]

or in slope-interception form:

[tex]y=\frac{1}{3} x-1.[/tex]

Can someone check my work?

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today!

We can check your answer in 1 step.

We need to find how much they earn if they worked 37 hours at a rate of 26 dollars per hour.

We can mutliply to figure this out:

[tex]37*26=962[/tex]

Therefore, yes, your answer is correct!

Cheers!

Answer:

$26=1hr

x   =37hr

$26 x 37=$ 962

Step-by-step explanation:

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