For some linear relationships, doubling the independent variable results in doubling the function value. For example, doubling the number of steps in a staircase doubles the height of the staircase. Does this doubling property hold for every linear relationship?

Answers

Answer 1

Using linear function concepts, it is found that this doubling property does not hold for every linear relationship.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

One example of function is:

y = 4x + 3.

When x = 1:

y = 4 + 3 = 7.

When x = 2:

y = 8 + 3 = 11.

The input did not double, meaning that this doubling property does not hold for every linear relationship, it doubles only for a linear function with a slope of 2 and intercept of 0.

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Related Questions

Write the rate as a fraction in simplest form.
270 robberies per 200,000 residents
Select the correct answer below and fill in the answer boxes to complete your choice.
(Simplify your answers.)
A. The rate written as a fraction in simplest form is

Answers

27/20000 is  the rate as a fraction in simplest form.

In math, what is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

Which fraction types are there?

There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions.

270 robberies per 200,000 residents in fraction form = 270/200000

                                                                                          = 27/20000

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Simpliy. 24v^4/54v^6 PLease help me ​

Answers

Answer:

0.00001338081

Step-by-step explanation:

24v^4=33176v

54v^6=24794911296

33176v/24794911296v

The two v's cancel out so you have:

331776/24794911296

331776/24794911296=0.00001338081

So, your answer is 0.00001338081.

The accountant for Jean’s Dress Shop prepared the following cash budget. Jean’s desires to maintain a cash cushion of $10,000 at the end of each month. Funds are assumed to be borrowed and repaid on the last day of each month. Interest is charged at the rate of 1 percent per month.

Answers

The completion of Jean's Dress Shop's cash budgets for the following months is as follows:

Cash Budget                                     July            August        September

Section 1: Cash receipts  

Beginning cash balance               $25,000      $10,000        $10,000

Add cash receipts                           90,000      100,000        120,300

Total cash available                     $115,000     $110,000      $130,300

Section 2: Cash payments  

For inventory purchases              $82,750        $70,115       $87,076

For S&A expenses                         27,250         30,280          30,716

For interest expense                               0                 50                54.45

Total budgeted disbursements $110,000     $100,445      $117,846.45

Section 3: Financing activities  

Surplus (shortage)                        $5,000     $9,555       $12,453.55

Borrowing (repayments)                5,000   455        ($2,453.55)

Ending cash balance                  $10,000       $10,000       $10,000

What is the Cash Budget?

The Cash Budget is an estimate of an entity's cash flows (cash outflows and cash inflows) over a specific period.

The Cash Budget can be prepared monthly, quarterly, semi-annually, or yearly.

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Question Completion:

Complete the cash budget by filling in the missing amounts.

Cash Budget                                     July            August        September

Section 1: Cash receipts  

Beginning cash balance               $25,000  

Add cash receipts                           90,000      100,000        120,300

Total cash available                     $115,000    $

Section 2: Cash payments  

For inventory purchases              $82,750        $70,115        $87,076

For S&A expenses                         27,250         30,280           30,716

For interest expense                               0        

Total budgeted disbursements $110,000  

Section 3: Financing activities  

Surplus (shortage)                        $5,000  

Borrowing (repayments)                5,000  

Ending cash balance                  $10,000        $10,000     $10,000

Find the x-intercept and y-intercept from the graph below.

Answers

Answer: ur answer is the 3rd option

Step-by-step explanation:

get smart :)

Answer: the answer is c

Step-by-step explanation: i did it

Which is greater, 1/10 or 0.009?

Answers

I think it’s 1/10 because 0.009 is less.

Let [tex]I=\int\limits^4_{-2} {x^4cos(x^5+2)} \, dx [/tex]. Use the substitution [tex]u=x^5+2[/tex] to convert [tex]I[/tex] into an equivalent integral in the variable [tex]u[/tex].

Answers

If [tex]u=x^5+2[/tex], then [tex]du=5x^4\,dx[/tex], so the integral transforms to

[tex]\displaystyle \int_{x=-2}^{x=4} x^4 \cos(x^5+2) \, dx = \frac15 \int_{u=-30}^{u=1026} \cos(u) \, du[/tex]

since

[tex]x = -2 \implies u = (-2)^5 + 2 = -32 + 2 = -30[/tex]

[tex]x=4 \implies u = 4^5 + 2 = 1024 + 2 = 1026[/tex]

Find the sum of 3√25 and 2√4 in
simplest form. Also, determine whether
the result is rational or irrational and
explain your answer.

Answers

Your answer is 60.. square root of 25 is 5 then multiply that by 3 you get 15.. the square root of 4 is 2 so you do 2x2 and get 4..
Then your multiply 15 by 4 and get 60

Answer:

simplest form. Also, determine whether

Step-by-step explanation:

A machinist has 13 wrought-iron rods to mill. Each rod weighs 24 oz. What is the total weight of the rods in pounds? (Enter your answer as a simplified mixed number.)

Answers

24 x 13 = 312, 312 / 16 = 19 1/2 pounds

I'm confused can someone teach me how to solve this?

Answers

Answer:f(x)=-1

F(x)=-2(-1)-3=-1

the problem wants you to plug -1 in for x so
-2 (-1) - 3
2 - 3
-1
f(-1) = -1 is the answer

can anyone tell me what 10(3-8) is in Distributive Property

Answers

Answer:

30 - 80 or -50

Step-by-step explanation:

To distribute numbers, you multiply the term outside of the parentheses with each term inside.

10(3 - 8)

10(3) - 10(8)

30 - 80

10(3-8)
10•3=30
10•8=80
30+80=120

Hopefully this helps

Luisa Hernandez has a family membership in her company's traditional group medical insurance program.
The total cost is $12,988 annually and the employer pays 25% of the total cost. She also pays the optional
annual dental premium of $980 and the optional vision premium of $324. Her contribution is deducted
biweekly from her paycheck. a) How much is her total annual contribution? b) How much is her biweekly
contribution?

Answers

The total annual contribution will be $8437 and the biweekly contribution is $450.

What is insurance?

An effective way to guard against financial loss is insurance. It is a method of risk management that is primarily employed to protect against the risk of a potential loss.

Given that the total cost is $12,988 annually and the employer pays 25% of the total cost. She also pays the optional annual dental premium of $980 and the optional vision premium of $324.

The annual contribution will be calculated as below:-

Annual contribution = 12988 - 3247 - 980 - 324

Annual contribution = $8437

The biweekly contribution will be calculated as below:-

Biweekly contribution = ( 12988 / 26) - ( 980 / 26 ) - ( 324 / 26 )

Biweekly contribution = 500 - 37.6 - 12.46

Biweekly contribution = $450

Therefore, the total annual contribution will be $8437 and the biweekly contribution is $450.

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Write equivalent fractions for 11/12 and 17/18
using the least common denominator.

Type the fractions, using a slash ( / ) to separate the numerator and denominator.

Answers

The equivalent fraction for [tex]\frac{11}{12}[/tex] and [tex]\frac{17}{18}[/tex] is [tex]\frac{22}{24}[/tex] and [tex]\frac{34}{36}[/tex] respectively.

What is an equivalent fraction?

There are two or more fractions that are equivalent even if their numerators and denominators are different. For instance, 1/2 is the same as (or equal to) 25/50 or 500/1000. Every time, the fraction is written as "one half" in its simplest form.

The equivalent fraction for [tex]\frac{11}{12}[/tex] is -

[tex]\frac{11}{12}[/tex] × [tex]\frac{2}{2}[/tex] =[tex]\frac{22}{24}[/tex]

The equivalent fraction for 17/18 is -

[tex]\frac{17}{18}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{34}{36}[/tex]

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which of the following is a flat surface that extends infinitely, has length and width but does not have depth

Answer:Plane
reason:i took the test and passed​

Answers

A plane is a flat surface that has length and width but no depth and can extend indefinitely.

In two dimensions, a plane has no limits. It has no thickness at all. A coordinate plane is an illustration of a plane. In the coordinate plane, a type of geometric plane, we plot points. A number line that runs up and down forever and one that runs from left to right indefinitely both exist on the coordinate plane. There are many different kinds of planes, including intersecting and parallel ones. In cursive writing, the upper case letter P stands for a plane.

What kinds of planar geometry are there?

Flat forms are also known as plane geometric figures, which include 2-dimensional shapes including squares, rectangles, triangles, and circles. Contrarily, 3-dimensional geometric forms such a cone, cube, cuboid, cylinder, etc. are used in solid geometry.

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Answer: freee points?

Step-by-step explanation: You gave the answer to your own question.

can someone explain this problem step by step

Answers

step 1: set your equations equal to DEF which is 76 (2x + 12 + 5x - 6 = 76)
step 2: find the x value by simplifying (x = 10)
step 3: find DEG by plugging in x (2(10) + 12 = 32)
step 4: find GEF by plugging in x (5(10) - 6 = 44)
Answer: mDEG = 32 and mGEF = 44

Select the coordinates of point X on AB that is 1/5 of the distance from A to B

Please help it due soon


A) (3,5, -2.2)
B) (-3.6,2,2)
C) (-3.6,-2.2)
D)(3.6,2.2)

Answers

Answer:

c

Step-by-step explanation:

B. Write each set using Set Builder Notation.
1. A = {5, 10, 15, 20, 25, 30}
2. B = {red, orange, yellow, green, blue, indigo, violet}
3. C = {Monday, Tuesday, Wednesday, Thursday, Friday}
4. D = {u, n, i, v, e, r, s}
5. E = {January, March, May, July, August, October, December}​

Answers

Answer:

A = { Multiples of five }

B = { colours of rainbow }

C = { day's of week }

D = { letters of universe }

E = { months of a year }

Step-by-step explanation:

please make my answer as brainelist

Given the following​ functions, find the indicated values.

Answers

Answer:

(a) f(-3) = 27

(b) f(0) = 6

(c) f(4) = -22

Step-by-step explanation:

     To solve, we will input x as -3 into the function.

f(x) = 6 - 7x

f(-3) = 6 - 7(-3)

f(-3) = 27

     We will do this for the other values as well.

f(x) = 6 - 7x

f(0) = 6 - 7(0)

f(0) = 6

-

f(x) = 6 - 7x

f(4) = 6 - 7(4)

f(0) = -22

Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:

DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600

CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260

DEBIT: Cash Dividends: 1,000

CREDITS: Fees Earned: 75,000

DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.

Total Debits = 135,260; Total Credits = 135,260

You have prepared the Income Statement and the Statement of Retained Earnings, now it is time to prepare the Classified Balance Sheet.

What amount do you report for Total Liabilities? Specify as a whole number.

Answers

The  amount to  report for Total Liabilities of Adventure Travel is $25,000

What are total liabilities?

Total liabilities refer to the obligations of Adventure Travel  which are due for payments in the short term and long-term, in essence, we are considering both current and non-current liabilities such as Salaries Payable and  Long-term notes payable, the former is the current liability since it is due within one year whereas the latter is non-current liability because its repayment date is beyond one year

Total liabilities= Salaries Payable+Long-term notes payable

Salaries Payable=$2,800

Long-term notes payable=$22,200

Total liabilities=$2,800+$22,200

Total liabilities=$25,000

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12 is a multiple of 3 and 6

Answers

Yes, 12 is a multiple of 3 and 6.

3•4=12 and 6•2=12.
Answer:
Mhm!! 12 is a multiple of 3 and 6.

Explanation:
3*4=12
2*6=12

A company orders 13 boxed lunches from a deli for $107.25. If each boxed lunch costs the same amount, how much do 19 boxed lunches cost?

Answers

$107.25/13=$8.25

$8.25*19=$156.75

Hope this helps and I hope it’s right lol

Does the point (-4, -81) satisfy the equation y=19x + -5?​

Answers

Answer: Yes, the point (-4, -81) does satisfy the equation.

Step-by-step explanation:

1) Plug in x and y values: -81 = 19(-4) + (-5)

2) Solve above equation: -81 = -76 - 5

                                          -81 = - 81

The equality is true because both sides are identical.

William travels only on Saturdays and Sundays and has flown 400 miles this month. Jason travels every weekday and has flown 500 miles this month. Who travels more miles per day for this month? Explain.

Answers

Answer:

Step-by-step explanation:

Tony, Ali, and Natasha have volunteered to bring chips to a barbecue. Tony is bringing 2 bags, Ali is bringing 3 bags and Natasha is bringing 1 bag. What fraction of the total number of bags of chips is Ali bringing?

Answers

The fraction is the value of an amount ranging from 0 to 1 so Ali's fraction is 1/2.

What is a fraction?

The fraction is the division of the two numbers but the division is not wholly complete.

The upper word is called numerator while the lower term is called the denominator.

Given that,

Tony is bringing 2 bags, Ali is bringing 3 bags and Natasha is bringing 1 bag.

Number of total bags = 2 + 3 + 1

⇒ 6

The number of bags that Ali brought = 3 bags.

Fraction of bag's that Ali brought = The number of bags that Ali brought / Number of total bags

⇒ 3/6 = 1/2

Hence "The fraction is the value of an amount ranging from 0 to 1 so Ali's fraction is 1/2".

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One could calculate an affordable monthly rate for rent and expenses by dividing annual income by 12 and calculating 30% of that figure

write this as an equation

Answers

One popular rule of thumb is the 30% rule,

which says to spend around 30% of your gross income on rent.

So if you earn $2,800 per month before taxes,

you should spend about $840 per month on rent.

To calculate,

simply divide your annual gross income by 40 - if you make $120,000 a year, you can spend $3,000 on rent.

An equivalent is the 30% rule, meaning that you can put 30% of your annual gross income in rent.

If you make $90,000 a year, you can spend $27,000 on rent, and so your monthly rent will be $2,250.

Typically, the rents that landlords charge fall between 0.8% and 1.1% of the home's value.

For example, for a home valued at $250,000, a landlord could charge between $2,000 and $2,750 each month.

If your home is worth $100,000 or less, it's best to charge rent that's close to 1% of its value.

To determine daily rent, the total number of days are divided by the monthly rent.

The daily rent is then multiplied by the number of days the tenant occupies the property.

To get an appropriate calculation for how much each roommate should pay depending on the size of their room, take the square footage of each room and divide by the total square footage of the apartment. This will give you a percentage for the size and value of each room, which you can apply to the total cost of rent.

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Match the solution to its expression.

Answers

Answer:

first equation is 1

second equation is 2

Julia bought a blouse for $18.25 and a skirt for $22.40. If she received a 10% discount for the skirt and the sales tax rate is 7.25%, how many dollars did she pay?

Answers

well, let's take a looksie, hmmm she got the skirt for 22.40, but but but, she got a discount of 10% on that hmmm how much will that be?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 22.40}}{\left( \cfrac{10}{100} \right)22.40}\implies 2.24~\hfill \underset{\textit{sale price for the skirt}}{\stackrel{22.40~~ - ~~2.24}{20.16}}[/tex]

so now, if we add the price of her blouse that'd be a total of 18.25 + 20.16 = 38.41, from that she paid a tax of 7.25%, so

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7.25\% of 38.41}}{\left( \cfrac{7.25}{100} \right)38.41} ~~ \approx ~~ 2.78~\hfill \underset{final~price}{\stackrel{38.41~~ + ~~2.78}{\approx \text{\LARGE 41.19}}}[/tex]

A person 54 inches tall is standing 13 feet from a streetlight. If the person casts a shadow 96 inches ​long, how tall is the​ streetlight?

Answers

The required height of the streetlight is 11.5 feet.

Given that,
A person 54 inches tall is standing 13 feet from a streetlight. If the person casts a shadow 96 inches ​long, how tall is the​ streetlight is to be determined.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Let the
13 feet = 13 * 12 inch = 156 inches
Ratios of height and distance would be equal
54 / 96 = x / 96 + 156
54 * 252/96 = x
x = 138 inches
x = 11.5 feets

Thus, the required height of the streetlight is 11.5 feet.

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It takes Kim nine hours to paint a fence.
Sarawong can paint the same fence in ten
hours. How long would it take them if they
worked together?

Answers

It would take 19 hours

Two boats leave a port at the same time and travels five kilometer per hour on a bearing of 460 degrees the other travels at 9km/hr on a bearing of 127degrees how far are the apart

Answers

Step-by-step explanation:

460=100 degrees

therefore a 27 degree distance between speeds

a^2=b^2+c^2-2bc cos A

a^2=9^2+5^2-2(5)(9)cos 27

=45.8

a=6.77 km/h away

I think you wrote 460 wrong also you can't calculate distance if you don't have the time they have travelled for so I gave you a speed.

What is the area in square inches of the shape 2.1 and 6.8

Answers

Answer:

A=7.14

that is the correct answer for this question

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