There are 4 quarters in 1 dollar the total number of dollars is a function of the number of quarters does this situation represent a linear or nonlinear function? Explain why

Answers

Answer 1

Answer:

sample answer:   If you make a table of values, you can see that 4 quarters equal 1 dollar and 8 quarters equal 2 dollars. If you graph the data, you will see a straight line. Therefore, this situation represents a linear function with a constant rate of change of 1/4

Step-by-step explanation:

Answer 2

The situation is a representation of the linear function.

What is meant by linear function?A linear function is one that, when graphed, produces a straight line. Thus, non-linear functions are any non-linear functions. Although graphing is the quickest way to determine whether a function is linear or non-linear, we can also determine linearity from its input/output table or equation. A straight line on the coordinate plane is represented by a linear function. For example, y = 3x - 2 denotes a straight line on a coordinate plane and, as such, a linear function.

Given that,

One dollar is divided into four quarters.

The total number of dollars is a function of the number of quarters.

Based on the information presented above, we can conclude that when the dollar represents y value and the quarter represents x value

As a result, the slope should be 1/4.

y = 1/4x should be the linear function.

Hence, As a result, we can conclude that the situation is a linear function.

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Related Questions

are irrational numbers intergers

Answers

Answer:

No they are not intergers

Step-by-step explanation:

Hope this helps

-66 = -9n + 16n + 4
Solve these step by step pls

Answers

Answer:

n= -10

Step-by-step explanation:

-66=7n+4

-7n=4+66

-7n=70

n=70/-7

n= -10

Answer:

n = -10

Step-by-step explanation:

-66 = -9n + 16n + 4

1. I started by subtracting 4 on both sides of the equation this gives you -70 = -9n + 16n

2. I then combined the like terms 16n and -9n on the right side of the equation. We do this by subtracting 9n from 16n. Which gives you -70 = 7n

3. We then divide both sides by 7 in order to get -10 = n

This gives you your final answer of n = -10

Complete the factorization of 3x2 – 10x + 8.

3x^2 – 10x + 8 = (x – _ )( _ x – 4)

Answers

(3x-4)(x-2) is the answer

Answer:

picture of answer on edge 2023.

Step-by-step explanation:

What is the sign of the product if you multiplied three negative integers?

Answers

Answer:

negative

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

negative times negative is positive

then, the positive times negative is negative

Help!!!!!!!!!!!!!!!!
Find the values of the letters​

Answers

Answer:

A = -3

B = 5

Proof:

A ⇒ -3+5 = 2

B ⇒ 3+2 = 5

Answer:

7=A 6=B

Step-by-step explanation: 37+25=62

2. Tina uSUally brings her children every Sunday afternoon at the children's park in their barangay. The park is 350m Iong and 200m wide complete with slides and
swings for children to play. If is surounded by a pathway of unifom width for children who loves biking and jogging. Suppose the total area of the park and the pathway is 74,464 m2.


a. How wide is the pathway of the park?
b. If you were Tina, woulad you like your children fo go biking and jogging in that park?​

Answers

Answer: kindly check explanation

Step-by-step explanation:

Given the following :

Total area of parknand path way = 74,464 m2.

Dimension of park = 350m by 200m

Using the area of rectangle formula:

Area = Length * width

Area of park = 350m * 200m

Area of park = 70,000

Area of path = (74,464 - 70,000) = 4,464m2

Since path has uniform width, then width of the the path is sqrt(4464) = 66.8m

2.) the path of the park seems a bit narrow, hence, I wouldn't love children to bike and jog in such a narrow path

PLEASE HELP MEEEEEEEEEEEEE
The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is parallel to segment WZ:

Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively.

According to the given information, segment UV is parallel to segment WZ, while angles SQU and VQT are vertical angles. Angle VQT is congruent to angle SQU by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, angle VQT is congruent to angle WRS by the ________ Property.

Which property of equality accurately completes the proof?

А Reflexive
B Substitution
C Subtraction
D Transitive

Answers

Answer:

The correct answer is Transitive

PLEASE HELP YALL
simplify the expression:
-3 (4u -9)

Answers

Answer: (-12u+27)

Step-by-step explanation: I distributed the negative 3

A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased by 40%.

Answers

You multiply 155 by 0.40 which is 40% and you get 62 then you add 62 to 155 and your final count of bacteria is 217

Answer:217

Step-by-step explanation:

What is the inverse of the function g(x)=5(x-2)

Answers

Answer:

[tex]\frac{x-2}{5}[/tex]

Step-by-step explanation:

The inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The inverse function is calculated as:-

y = 5 ( x - 2 )

Replace the variables with each other in the equation.

x = 5 ( y - 2 )

( x/5 ) = y - 2

y = ( x/5 ) + 2

Therefore, the inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].

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Square root 2-x =x-2

Answers

Answer:

The square root of 2-x+x-2 is the square root of x (2-x)

Step-by-step explanation:

Find the value of x.

Answers

Answer:

its 90 bro whenever you see that square on a corner its always 90 degrees

Step-by-step explanation:

Answer:

The answer is 90 degrees.

Whenever you see a square in the corner, it means it's 90 degrees.

It's also red, meaning that that is what you're trying to find.

Given 45-45-90 triangle with hypotenuse of 3cm solve for the other sides.

Answers

Answer:

[tex]\sqrt{\frac{9}{2} }[/tex]

Step-by-step explanation:

Given dimensions:

   The right angle system is a 45 - 45 - 90

    Hypotenuse  = 3cm

Unknown:

Adjacent and opposite sides = ?

Solution:

In this triangle, the adjacent and opposite sides are equal to one another. So,

 Let adjacent  = y

        opposite  = y

For right angle triangles as this, using the Pythagoras theorem,

           hypotenuse²  = adjacent² + opposite²

 Insert the parameters and solve;

                    3² = y² + y²

                    2y²  = 9

                       y² = [tex]\frac{9}{2}[/tex]

                       y = [tex]\sqrt{\frac{9}{2} }[/tex]

State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
HOUSING $1,386

FOOD $804

CHILD CARE $1,709

Transportation $1,235

HEALTH CARE $908

OTHER NECESSITIES $884

TAXES $1,483

Monthly Total $8,409

Annual Total $100,909

Answers

Answer:

these teachers b expectin u to do this bs

Step-by-step explanation:

If S = 2(lw + lh + wh) and l = 5w, rewrite the equation for S, substituting in 5w for l.

Answers

Answer:

S = 2w( 5w + 6h)

Step-by-step explanation:

given:

S = 2(lw + lh + wh)

if l = 5w, then we simply substitute this into the expression above.

S = 2[   lw   +   lh   +   wh  ]

S = 2[   (5w)w   +   (5w)h   +   wh  ]

S = 2[   5w²   +   5wh  +   wh  ]      

S = 2( 5w²   +   6wh)         simplify by factoring out w

S = 2w( 5w + 6h)

f(x)= -3/4x+6

Find the inverse I need help pretty bad please help!!

Answers

Answer:

f⁻¹(x)= - 4x/3 +8

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

Write and solve the equation and then check your answer.
The difference between a number and four hundred forty is five hundred eighty-five.
Complete the statements.
The equation that correctly models the problem is
To undo what has been done to the variable,
both sides of the equation.
The solution of the equation is
Check the solution by substituting for the variable and simplifying.
1)Intro

Answers

Answer:the first one is n-440=585

The second one is add 440 to

The third one is n = 1025

The last one is 1025

Step-by-step explanation: got this all right on edge

Answer:

The equation that correctly models the problem is

✔ n – 440 = 585

.

To undo what has been done to the variable,

✔ add 440 to

both sides of the equation.

The solution of the equation is

✔ n = 1025

.

Check the solution by substituting

✔ 1025

for the variable and simplifying.

What is the simplified form of
72x16
50x36
? Assume x+0.
6
5x10
6
5x2
10

Answers

Answer:

The simplified form is  [tex]\frac{6}{5x^{10} }[/tex] ⇒ A

Step-by-step explanation:

To simplify a root divide the power of the variable by 2 to cancel itFactorize the coefficient of the variable and take out the repeated factor twice out the root

Let us solve the question

∵ The expression is [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex]

→ At first, divide simplify the coefficient of the variable

∵ [tex]\frac{72}{50}=\frac{36}{25}[/tex]

∵ 36 = 6 × 6 and 25 = 5 × 5

→ 6 and 5 repeated twice then the can go out the root one 6 and one 5

∴ [tex]\sqrt{\frac{36}{25}}=\frac{6}{5}[/tex]

→ Let us use the exponent rule with division [tex]\frac{a^{m} }{a^{n}}=a^{m-n}[/tex]

∵ [tex]\frac{x^{16}}{x^{36}}=x^{(16-36)}=x^{-20}[/tex]

→ To cancel the root divide the power by 2

∵ -20 ÷ 2 = -10

∴ [tex]\sqrt{x^{-20}}=x^{-10}[/tex]

∴  [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5}[/tex] × [tex]x^{-10}[/tex]

→ To change the power of x from (-) to (+) reciprocal x

∴ [tex]x^{-10}=\frac{1}{x^{10}}[/tex]

∴  [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5x^{10} }[/tex]

The simplified form is  [tex]\frac{6}{5x^{10} }[/tex]

Find the total earnings based on the given information.
Base: $22,000, Total Sales: $99,000, Commission: 3%
Enter the correct answer in the box.

Answers

Answer:

$24,970

Step-by-step explanation:

22,000+(99,000•0.03)=22,000+2,970=24,970

the slope of the line...................

Answers

Answer:

Y=0/0

Step-by-step explanation: since their is no fall or rise in the slope it is 0

Find the sum to infinity of the infinite G.P.
1-½+¼........​

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The sum to infinity of a GP is

[tex]S_{infinity}[/tex] = [tex]\frac{a}{1-r}[/tex] ; | r | < 1

where a is the first term and r the common ratio

Here a = 1 and r = - [tex]\frac{1}{2}[/tex] ÷ 1 = - [tex]\frac{1}{2}[/tex] , thus

[tex]S_{infinity}[/tex] = [tex]\frac{1}{1-(-\frac{1}{2}) }[/tex] = [tex]\frac{1}{1+\frac{1}{2} }[/tex] = [tex]\frac{1}{\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

1-1/2+1/4.....

[tex]r=\frac{\frac{-1}{2} }{1} =-\frac{1}{2} \\if~|r|<1,then~s_{\infty}=\frac{a}{1-r} ,a=first~term.\\s_{\infty}=\frac{1}{1-(\frac{-1}{2}) } =\frac{1}{1+\frac{1}{2} } =\frac{1}{\frac{3}{2} } =\frac{2}{3}[/tex]

Round 463,751 to the nearest hundred.

Answers

Answer : 463, 800


Explanation:

Answer:

463,800

Step-by-step explanation:

:) watch this be wrong lol

What are the solutions to the quadratic equation 3(x − 4)2 = 75?

x = −9 and x = 1
x = −5 and x = 5
x = −4 and x = 4
x = −1 and x = 9

Answers

Answer:

x=-1 and x=9

Step-by-step explanation:

[tex]3(x-4)^{2} =75[/tex]

[tex](x-4)^{2} =\frac{75}{3}[/tex]

[tex](x-4)^{2}[/tex]=[tex]25[/tex]

[tex](x-4)(x-4)[/tex]=[tex]25[/tex]

[tex]x^{2} -4x-4x+16[/tex]=[tex]25[/tex]

[tex]x^{2} -8x+16[/tex]=[tex]25[/tex]

[tex]x^{2} -8x+16-25=0[/tex]

[tex]x^{2} -8x-9=0[/tex]

[tex](x-9)(x+1)=0[/tex]

[tex]x-9=0\\x=0+9\\x=9[/tex]        [tex]x+1=0\\x=0-1\\x=-1[/tex]

therefore x=9 and x=-1

Answer:

the answer is d x = −1 and x = 9

Step-by-step explanation:

What is the equation of the line?

Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Kya is mailing a package to her friend for her birthday. The United States Post Office charges her a flat fee of $8.50 for packing materials plus an additional $0.18 per ounce.


a. Define your variables:


b. Write a function that will help Kya determine how much it will cost to ship her package to her friend based on the weight of the package (in ounces).


c. Kya is trying to remember how much the package she sent weighed. She doesn’t remember the weight exactly, but she knows how much it cost her to mail the package. Write a function that will determine the weight of the package (in ounces) based on the total cost to mail the package.


d. It cost Kya $17.50 to mail her package to her friend. How much did the package weigh? Explain your solution, including the function, used to determine your answer.

Answers

Answer:

The answer is Y=8.5+0.18x

Step-by-step explanation:

Given data

Let the flat fee be $8.5

Let the additional fee per ounce be $0.18

Let the total amount to mail the package be y

Therefore the total amount is

Y=8.5+0.18x

The function is Y=8.5+0.18x

help help HELP!!! PLEASE

Answers

Grapth the line using the slope and y intercept or two points
Slope 1/2
y intercept (0,1)
x y
-2 0
0. 1

do i use mean and standard deviation or median and interquartile range?

Answers

Answer: median and interquartile range

Step-by-step explanation:

write four integers between -10 and 3​

Answers

Answer:

-4, -3, -2, -1

Step-by-step explanation:

all the integers between -10 and 3

-9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2

Answer:

-9, -8, 2, 1

Step-by-step explanation:

Integers are whole number that can either be positive or negative.

Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will
an artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the
price increase goes into effect

Answers

Answer:

Step-by-step explanation:

We don't know the first price?

Use the described technique to solve the equation describing the following problem:
A city taxi driver charges $2 per kilometer and has a starting fee of $9. An Uber driver charges $5 per kilometer, but has no starting fee. At which distance (in kilometers) will the price of taking an Uber be equal to the price of taking a city taxi?

Answers

Answer:

Taxi Driver: 9+2x=

Uber Driver: 5x=

So we just gotta keep multiplying until we find where they’re equal. So let’s assume that when we can get the Taxi Drivers price to have a 5 in the tens place or a 0 in the tens place. By the looks of it, they will meet at 15$ for that to happen let x=3, which would make the taxi driver’s equation 9+2(3), 9+6=15$, and the uber driver’s equation would be 5(3)=15$. X=3 or X=distance in kilometers.
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