How do you use the distributive property to rewrite and evaluate 15(2 1/3)?

Answers

Answer 1

The value of the equation after the evaluation is 35

The operation on numbers that are available in brackets can be distributed for each number outside the bracket, according to the distributive property. It is one of the mathematical properties that is used the most. Commutative and associative qualities are the other two important features.

The distributive property is straightforward to recall. Numerous mathematical features allow us to make algebraic expressions as well as arithmetic calculations simpler.

Using the distributive property we can rewrite this expression as:

[tex]15(2\frac{1}{3} )= (15*2)+(15*\frac{1}{3} )[/tex]→[tex]30[/tex]→[tex]\frac{15}{3}[/tex]→[tex]30+5[/tex]→[tex]35[/tex]

Evaluating the equation:

[tex]15(2\frac{1}{3} )=15*(\frac{7}{3} )=35[/tex]

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Related Questions

He fits all of his boxes exactly into a larger box with a volume of 1,152
cubic inches. How many gift boxes are in the larger box? Explain how you know.

Enter the correct numbers in the boxes to complete the statement and equation.

Answers

on solving the provided the question, we got know that - width = 6 in, length = 16 in, and height = 12 in

Waht is factor?

Decomposing or decomposing an entity (number, matrix, polynomial, etc.) into another entity or product of coefficients, the multiplication of which yields the original number, matrix, etc. is known in mathematics as factorization or factorization .

A rectangular prism with the dimensions l, w, and h has the following volume:

[tex]V = l * w * h[/tex]

[tex]V = 1152 in^3\\[/tex]

[tex]l = 2w + 4\\h = 18 - w[/tex]

[tex]So,\\ V = l * w * h\\ \\ 1152 = (2w + 4) * w * (18 - w)1152 = (2w^2+ 4w) * (18 - w)\\ 1152 = 36w^2 + 72w - 2 w^3 - 4w^2\\ -2w^3 + 36w^2 - 4w^2 + 72w = 1152\\ -2w^3 + 32w^2 + 72w = 1152\\ -2w^3+ 32w^2 + 72w - 1152 = 0\\ -w^3+ 16w^2 + 36w - 576 = 0\\ w^3 - 16w^2 - 36w + 576 = 0\\ (w^3 - 36w) - (16w^2 - 576) = 0\\[/tex]

[tex]Factor:\\ w * w^2 - w * 36 - (16 * w^2 - 16 * 36) = 0\\ w(w^2 - 36) - 16(w^2 - 36) = 0\\(w - 16)(w^2 - 36) = 0\\(w - 16)(w^2 - 6^2) = 0\\(w - 16)(w - 6)(w + 6) = 0\\[/tex]

So,

w - 16 = 0, or w - 6 = 0, or w + 6 = 0.

w = 16, or w = 6, or w = -6.

Since width cannot be zero, w = –6.

l = 2 * 16 + 4 = 32 + 4 = 36 and h = 18 - 16 = 2 if w = 16

However, because the width must be smaller than the height (h > w), w 16.

l = 2 * 6 + 4 = 12 + 4 = 16 and h = 18 - 6 = 12 if w = 6, respectively.

Consequently, w = 6 in, l = 16 in, and h = 12 in

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Please help, giving thanks and brainliest:) (Please give an explanation if possible and please dont give a fake answer)

Please answer both what angle relationship it is and what x equals

Answers

By analyzing the geometric system presented in the figure, the angle x has a measure of 56°.

What is the measure of the missing angle within a pair of angles?

In this question we find a representation of pair of angles, that is, a geometric system with two adjacent angles. The sum of the measures of the two angles equals 98° and one of the angles has a measure of 42°:

42° + x = 98°

x = 98° - 42°

x = 56°

The missing angle x has a measure of 56°.

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data shows that the united states has less intergenerational mobility than germany. that means that:

Answers

The data shows that United States has less intergenerational mobility than Germany this data means that the success of the children of United States depends more on the parents income status in comparison to Germany.

Intergeneration mobility is the extent to which the outcomes of the doings of an individual are different in comparison to his or her parents. This basically means the extent to which an individual is gaining something by his own potential.

According to the data United States has less intergeneration mobility in comparison to the intergenerational mobility of Germany.

From this data that outcomes of a children born in United States depends highly on the parents economic and financial status than German kids.

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Angle 9 and angle 10 are corresponding angles formed by two parallel lines cut by transversal. The angles are also complimentary. Find angle 9

Answers

The measure of angle 9 is 45 degrees.

What is complementary angles?

Complementary angles are those whose combined angle is exactly 90 degrees. 30 degrees and 60 degrees, for instance, are complementary angles.

Given:

Angle 9 and angle 10 are corresponding angles formed by two parallel lines cut by transversal.

The angles are also complimentary.

We have to find the measure of angle 9.

If <9 and <10 are corresponding, it means they are equal i.e <9 = <10

Since <9 and <10 are also complementary angles, their sum will be 90 degrees

<9+<10 = 90

<9 + <9 = 90

2m<9 = 90

m<2 = 90/2

m<2 = 45 degrees

Hence the measure of angle 9 is 45 degrees.

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A commuter travels to work using a city bus. The function f(t)=−600t+12,000 represents the distance remaining, in meters, after t minutes of riding the bus.

What does −600 represent in the function f(t)?

Responses

the slope of the function and the change in distance remaining, in meters per minute, of riding the bus

the slope of the function and the change in distance remaining, in meters per minute, of riding the bus

the slope of the function and the initial number of meters remaining when t=0

the slope of the function and the initial number of meters remaining when t = 0

the y-intercept of the function and the change in distance remaining, in meters per minute, of riding the bus

the y -intercept of the function and the change in distance remaining, in meters per minute, of riding the bus

the y-intercept of the function and the initial number of meters remaining when t=0

the y -intercept of the function and the initial number of meters remaining when t = 0

Answers

The interpretation of -600 is (a) the slope of the function and the change in distance remaining, in meters per minute, of riding the bus

How to interpret -600 in the equation?

From the question, we have the following parameters that can be used in our computation:

f(t) = -600t + 12000

A linear equation is represented as

y = mx + c

Where

Slope = m

When the equations are compared, we have

m = -600

This means that

Slope = -600

So, the interpretation of -600 is the slope

Answers

(a) 10⁴ strings of four digits which end with an even digit.

(b) 10⁵ strings of four digits which begin with an odd digit.

(a)There are 10 choices ranging from 0 to 1,2...9 for the first three digits of the string that ends in an even number and four possibilities ranging from 2,4,6,8, for the last digit.

According to the product rule there are 4000 strings that terminate in an odd number or 10 × 10 × 10 × 4.

(b) Also there are 10 choices ranging from 0 to 9 for the last three digits of the string that ends in an odd or even number and 5 possibilities ranging from 1,3,5,7,9 for the first digit .

According to the product rule there are 5000 strings that terminates in an even number or 10 × 10 × 10 × 5.

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Write the equation of the line perpendicular to y=-3x-1 that passes through the point (3,4)

Answers

The equation of the line perpendicular to y=-3x-1 that passes through the point (3,4) is y = (1/3)x + 3.

What do you mean by equation of line?

The slope of the line and a point on the line can be used to create the equation of a line. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis.

The slope of the line given in the question is: -3,

The slope of perpendicular line is negative reciprocal of the slope of other line,

So,

The slope of perpendicular line is: 1/3.

The equation of the line is generally in the form:

y = mx + c

So, the equation of line becomes:

y = (1/3)x + c

We have given that the line passes through the point (3,4).

Putting the values of x and y in the above equation to get the value of c.

4 = (1/3)(3) + c

c = 3

Putting the value of c in the equation,

y = (1/3)x + 3

This is the required equation.

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Answer:

(-3,-4) and (3,4).

Step-by-step explanation:

HELPP 65 POINTS I NEED THEM ALL

It can be expensive to go to the movie theater. The scatter plot shown here gives the average cost in

U.S. dollars of a movie ticket in the U.S. for each year from 1980 to 2013. Using this data, how much do

you think a movie ticket will cost in the years 2020 and 2030? Download the worksheet and complete it.

1. How has the cost of a movie ticket changed over the last 30 years? What has been the general

trend? How can you tell this from the graph? (2 points)

2. What years did the cost of movie ticket decrease compared to the year before? How can you tell

from the graph when the price is decreasing? (2 points)

Student Name:

Predicting Movie Ticket Costs Activity

3. There was a time where the cost of a movie ticket stayed relatively the same over several years.

For what years did the cost stay relatively the same? How can you tell this from the graph? (2

points)

4. The graph could be divided up into three different periods of relatively consistent ticket price

change: The years 1980 – 1988, 1989 – 1993 and 1994 – 2011. Can you find a typical rate of

change in the price of a ticket for each of these time periods? In other words, on average, by

how much did the price of a ticket increase by each year during each of these time periods?

(2 points)

5. Predict the cost of a ticket in 2012 – 2015. Plot your predictions and give your actual predictions

for each year below. How did you determine how much a ticket would cost each year? (2 points)

6. What might have been the cost of a ticket during the years 1975 – 1979? Plot your estimates on

the grid and give your actual predictions for each year below. How did you determine how much

a ticket would cost each year? (2 points)

Predicting Movie Ticket Costs Activity

7. Find a line of best fit to represent the data. Let y = ticket price and x = the number of years since

1980 (1980 is year zero, 1981 is year one). Approximate a line to represent the data, a slope, a y-intercept and equation that models your line of best fit. (2 points)

8. Use your equation (or graph or a table) to predict the cost of a movie ticket in the years 2020

and 2030. Be sure to show how you came to each answer. (2 points)

Answers

Perhaps in other parts of the country, ticket prices are much cheaper. So, the average of all of the ticket prices turns out to be less.

What do you mean by rates?

A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio indicates the rate of change in the other (dependent) variable if the denominator of the ratio is written as a single unit of one of these quantities, and if it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

1. Perhaps in other parts of the country, ticket prices are much cheaper. So, the average of all of the ticket prices turns out to be less.

2. From 1988 to 1989 the cost of a ticket decreased. Also from 1991 to 1992 the cost decreased a little. The graph slants a little downward.\

3. From 1990 to 1994 the cost stayed pretty much the same. Those years on the graph look almost level... not sloping upward or downward.

4. 1980-1988 price increased from about $2.75 to about $4.25 $1.50 over 8 years = $0.19 per year 1989-1993 price increased from about $4.00 to about $4.20 = $0.20 over 4 years = $0.05 per year 1994-2011 price increased from about $4.20 to about $8.00 $3.80 over 7 years = $0.54 per year

5. Maybe 2012 will be $8.20, 2013 will be $8.30, 2014 will be $8.50, 2015 will be $8.60 ish
Maybe I should make the price go up about $0.17 cents per year ... on average.

6. 1979 maybe $2.52
1978 maybe $2.36
1977 maybe $2.19
1976 maybe $2.02
975 maybe $1.85
I figured that the price was going down, on average, at about $0.17 per year.

7. one possibility might be y=$5.30/31 x + $2.70 or y = 0.17x+2.7.

8.Using the equation that we fit to this data y = 0.17x + 2.7 we get 0.17(40) + 2.7= $9.50 for the year 2020 and for the year 2030 we get 0.17(50)+2.7 $11.20

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Answer:

Step-by-step explanation:

its b like this the aetter number g

Solve using substitution x=-3 -4x-y=10

Answers

x= -3 -4x-y=10
-4(-3)-y=10
12-y=10
-y=-2
Divide both sides by negative 1 to get Y = 2

how many different ways are there to seat five people around a circular table, where two seatings are considered to be the same if each person has the same neighbor to the left and the same neighbor to the right?

Answers

If the person has same neighbor to the left and right , Seating is considered same. By using circular permutation, the answer is 2.

What do you mean by permutation?

A conceivable order or arrangement for a group of items, especially one among several alternatives.

What is the formula to calculate permutation?

The formula for permutation is:

[tex]P(n,r)= \frac {n!}{(n-r)!}[/tex] (Permutation)

[tex]P(n)=(n-1)![/tex] (Circular permutation)

Total number of people=5

Since the orientation with same neighbor to left and right is considered same. We consider 3 people as 1 which represent a person with neighbors.

Total people used in circular permutation=3

P(3)= (3-1)!

=2!

=2.

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Determine the x and y intercept:
X -3 -2 -1 0 1
y 0 2 4 6 8

Answers

8 probably cuz 1 times 8 is 8?

a group of veterinarians at a major veterinary hospital was interested in investigating a possible link between enteroliths, stones that form in the colon of horses, and diet. they decided to conduct a survey of feeding practices of horses in the hospital's state. they created a survey questionnaire and decided to administer it to the owners of every fifth horse being treated at the hospital. the sample is a:

Answers

Fron the given question, we can say that systematic sample because not all sample are possible.

What is Systematic sampling?

Using the probabilistic sampling technique known as systematic sampling, researchers periodically choose individuals from a community. Choose each 15th of her, for instance, from the population list. You can simulate the advantages of straightforward random sampling by randomly sorting the population.

[tex]Since every 100th horse is selected in the sample. Thus, Systematic Sampling is used.[/tex]

Further,

Sampling method is said to be Simple Random Sampling if unit from the population are picked randomly without any criteria, so that each unit as similar chance of selection.

If any criteria are used to select every sample, such as selecting every fourth unit, the sampling technique is said to be systematic sampling.

If the population is divided into various groups that share the same characteristic, the sampling method is said to be stratified sampling. Additionally, units are chosen at random from these groups.

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Help me please! I don’t understand

Answers

Answer: Yes, they receive more than $82 for their job

Step-by-step explanation:

First, take 70 times 0.05% = $3.50

Then add them to equal $73.50 is their charge for the job!

Now it says that the homeowner tip 15%

So take 73.50 times 0.15% = $11.03

Then add 73.50 with 11.03 = $84.53

Yes, they receive more than $82 for their job

what is s for the following function

Answers

Step-by-step explanation:

you just need to put the value for t into the equation and then solve for s.

t = 3s + 2

t = 11

11 = 3s + 2

3s = 11 - 2 = 9

s = 3

t = 17

17 = 3s + 2

3s = 17 - 2 = 15

s = 5

t = 23

23 = 3s + 2

3s = 23 - 2 = 21

s = 7

t = 29

29 = 3s + 2

3s = 29 - 2 = 27

s = 9

A group of friends wants to go to the amusement park. They have no more than $280
to spend on parking and admission. Parking is $20, and tickets cost $40 per person,
including tax. Write and solve an inequality which can be used to determine a, the
number of people who can go to the amusement park.

Answers

[tex]\boxed{20+40a \leq 280}\\\\1+2a \leq 14\\\\2a \leq 13\\\\a\leq \frac{13}{2}[/tex]

However, since there must be a whole number of people, this rounds down to [tex]\boxed{a \leq 6}[/tex]

Your uncle is trying to decide between the purchase of a sports car or a SUV. The
sports car is cheaper to buy but costs more to insure. Specifically, the sports car
would cost $5000 plus $2500 each year for insurance, while the SUV would be
$8000 plus $800 per year to insure. After how many years would the amount
spent on each vehicle be the same?

Answers

The number of years it will take such that amount spent on each vehicle is the same will be 2.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Suppose after x years the amount will be the same.

5000 + 2500x = 8000 + 800x

2500x - 800x = 8000 - 5000

1700x = 3000

x = 1.76

Since x must be a whole number so it will round up so x = 2.

Hence "The number of years it will take such that amount spent on each vehicle is the same will be 2".

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Please Help! Three times the quantity of a number increased by 7 is equal to the same number decreased by 15

Answers

The value of the number will be;

⇒ x = - 11

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''Three times the quantity of a number increased by 7 is equal to the same number decreased by 15''

Now,

Let the quantity of a number = x

So, We can formulate;

⇒ 3x + 7 = x - 15

Solve for x as;

⇒ 3x - x = - 15 - 7

⇒ 2x = - 22

⇒ x = - 11

Thus, The value of the number will be;

⇒ x = - 11

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Is y=4+x a proportional relationship??

Answers

Hence, [tex]y=4+x[/tex] is a proportional relationship.

What is the proportional?

Proportional or proportion meaning in math means equality between two ratios. In the mathematical equation [tex]\frac{a}{b}=\frac{c}{d}[/tex], where [tex]a[/tex] and [tex]b[/tex] are in a similar proportion as [tex]c[/tex] and [tex]d[/tex].

A proportion is essentially established for solving a word problem in which one of its four quantities is unknown.

Here given that,

We have to check [tex]y=4+x[/tex] is a proportional relationship or not.

So, the given equation is

[tex]y=4+x[/tex]

Here, [tex]4[/tex] is constant.

So, [tex]y=4+x[/tex] is a proportional relationship.

Hence, [tex]y=4+x[/tex] is a proportional relationship.

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Help please
Multiply.
-2w(-5-w)

Answers

Answer:

[tex]10w + 2w^{2}[/tex]

Step-by-step explanation:

To solve this, we have to apply the distributive property and simplify:

(-2w x -5) + (-2w x -w)

[tex]10w + 2w^{2}[/tex]

Answer:

[tex]10w + 2w {}^{2} [/tex]

6. In July, the price of a gallon of gasoline rose 12%. In August it fell 15% of its final July price, ending
the month at $1.19. What was its price at the beginning of July?

Answers

According to the question,

Given data in the question,

In July, the price of a gallon of gasoline rose=12%

In august, it fell 15% of its final July price,

Ending the month at 1.19 rupees

Let us consider,

x is the original price at the beginning of July,

then the price of gasoline rose is 112%

=100+2

=112%

=112/100

=1.12

In august it fells 15%=100-15%

=.85%

With the help of given data

the original price is---- x

(1.12) × (.85) x = 2.29

find the value of x

x = 2.29/0.952

x=2.41

x=2.41 was its price at the beginning of July.

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DOUBLE POINTS!!! Please help!

Answers

answer

x=-10

x=0

Step-by-step explanation:

x(x+10) =0

apply zero product property

sorry if this is a straight forward answer

Answer:

The first solution is -10 and the second solution is 0

Step-by-step explanation:

The question is x * (x+10) = 0

When the product of factors equals 0, at least one factor is 0:

x = 0

x+10 = 0 which can be simplified to x = -10 by subtracting 10 from both sides. Thus, the two solutions to x * (x+10) = 0 is -10 and 0.

if the radius is 40 what is the circumference

Answers

Answer:

Step-by-step explanation:

Solve the following system of equations graphically on the set of axes below. y=-3x - 6 x - 4y = -28

Answers

The solution to the given system of equations is;

x = -4 and y = 6

How to solve a set of equations graphically?

We are given the simultaneous equations as;

y = -3x - 6 ------(1)

x - 4y = -28 ------(2)

For eq 1, we can get the coordinates as;

When x = -2, y = -3(-2) - 6 = 0

When x = -1, y = -3(-1) - 6 = -3

When x = 0, y = -3(0) - 6 = -6

When x = 1, y = -3(1) - 6 = -9

When x = 2, y = -3(2) - 6 = -12

For eq 2, we have;

When x = -2, y = (-2 + 28)/4 = 26/4

When x = -1, y = (-1 + 28)/4 = 27/4

When x = 0, y = (0 + 28)/4 = 7

When x = 1, y = (1 + 28)/4 = 29/4

When x = 2, y = (2 + 28)/4 = 7.5

From the graph attached, the solution is (-4, 6)

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Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=98.13, y=100.6, r=0.904, P-value=0.000, ŷ=14.68+0.88x, where x represents the IQ score of the twin born first. Find the best predicted value of ModifyingAbove y with caret given that the twin born first has an IQ of 104? Use a significance level of 0.05.

Answers

The best-predicted value of Modifying Above y with caret given that the twin born first has an IQ of 104 is 106.2.

The dependent variable's predicted value in basic linear regression is given by the equation = b0 + b1x.

In order to minimize the total sum of squared errors, the values of b0 and b1 are derived from the data using the equation line = b0 + b1X. (the error is the difference between the predicted value and the actual value of y).

Use regression equation

ŷ=14.68+0.88x

plug in IQ, which is x

y = 14.68 + 0.88(104)

= 106.2

Hence, the answer is 106.2

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What is static electricity?

Build up of electrical charges on the surface of an object

Build up of light energy that causes electrical charges to move

The flow of electrical charges in a conductor

The movement of electrical charges through an insulator

Answers

Static electricity is an imbalance of electric charges within or on the surface of a material.

What is a charge? What is current?Electric charge is the physical property of matter that causes charged matter to experience a force when placed in an electromagnetic field.Electric charge can be positive or negative. Like charges repel each other and unlike charges attract each otherRate of flow of charge per unit time is called current.

We have static electricity.

Static electricity is an imbalance of electric charges within or on the surface of a material or between materials. The charge remains until it is able to move away by means of an electric current or electrical discharge.

Therefore, Static electricity is an imbalance of electric charges within or on the surface of a material.

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Evaluate 9.1p + 8.9r when p = 6 and r =7.

Answers

Answer:

116.9

Step-by-step explanation:

9.1(6) + 8.9(7)

54.6+62.3

116.9

Write a polynomial function that meets the stated condition.

The zeros are -2/3 and , and the constant term of the polynomial is -10.

Answers

The polynomial that has a factor (3x + 2) and the constant term negative 10 will be p(x) = 3x - 8.

How to get polynomials with zeroes?

Let a, b, c, and d are the zeroes of the polynomial.

Then the polynomial is given as,

⇒ (x - a)(x - b)(x - c)(x - d)

The degree of the polynomial will be greater than or equal to the number of zeroes.

The zeros are -2/3. Then the factor of the polynomial is given as,

x = - 2/3

3x = - 2

3x + 2 = 0

The polynomial that has a factor (3x + 2) and the constant term negative 10 will be given as,

p(x) = 3x + 2 - 10

p(x) = 3x - 8

The polynomial that has a factor (3x + 2) and the constant term negative 10 will be p(x) = 3x - 8.

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a card is selected from a standard deck and replaced. this experiment is repeated a total of five times. find the probability of selecting exactly three clubs. a. identify a trial, a success, and a failure. b. identify n,p,q,and x. c. use the binomial probability formula.

Answers

The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

What is the binomial probability formula?

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = [tex]\frac{n!}{(n-x)!x!} p^xq^{(n-x)}[/tex]

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

Calculation:

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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(d) Use function notation to write g in terms of f.
1. g(x) = (x − 10)2
f(x)= x2
answer: g(x)= f(____)
2. g(x)= -x3-2
f(x)= x3
answer: g(x)= -f(____) + (____)
3. g(x)= -(x+6)2+2
f(x)= x2
answer: g(x)= -f(____) + (____)
4. g(x) = (x + 2)3 − 8
f(x)= x2
answer: g(x)= f(____) + (____)
5. g(x) = 8 − |x + 4|
f(x)= |x|
answer: g(x)= ____ - f(____)
6. g(x) = |−x + 5| + 7
f(x)= |x|
answer: g(x)= f(____) + (____)
7.

f(x)= √x
answer: g(x)= f(____) + (____)

Answers

The value of g in terms of f is:

[tex]x^{4} -20x^{2} +100[/tex]

[tex]x^{9} -2[/tex]

[tex]-x^{4} -12x^{2} -34[/tex]

[tex]8-||X|+4|[/tex]

[tex]|-|x|+5|+7[/tex]

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).