The subsets are {}, {0}.
What is the subset in mathematics?
In mathematics, a subset is a set consisting of elements that are also elements of another set. A set A is said to be a subset of set B if and only if every element of A is also an element of B. In other words, if you have a set A and another set B, and all the elements of set A are present in set B, then set A is considered a subset of set B.
In mathematics, a subset is a collection of elements that belong to a larger set. The elements in a subset can be any type of mathematical objects, such as numbers, vectors, or functions. A set is a subset of itself, and the empty set is a subset of every set.
The subsets of the given set {0} are the empty set {} and the set itself, {0}. So, the subsets of the given set 0 are {}, {0}.
Hence, the subsets are {}, {0}.
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A wine maker can make 14 bottles of wine with 80 pounds of grapes. If the wine maker picks 625 pounds of grapes, how many bottles of wine can be made? round to the nearest whole bottle.
Answer:First, we can calculate how many bottles of wine can be made per pound of grapes:
14 bottles / 80 pounds = 0.175 bottles / pound
Next, we can multiply this number by the number of pounds of grapes the wine maker has to find the total number of bottles of wine that can be made:
0.175 bottles / pound * 625 pounds = 110.31 bottles
Rounding to the nearest whole bottle, we find that the wine maker can make 110 bottles of wine with 625 pounds of grapes.
Step-by-step explanation:
In the figure below, I || h. Find the values of y and x.
81°
y (6x - 51)
y = 0
X =
The value of the variable x is 99 and y is 22 in the given transversal of parallel lines.
What is transversal?There are several different kinds of lines that can exist in geometry, including parallel, perpendicular, intersecting, and so on. A transversal is a different line that we have in addition to that. A road crossing two or more other roads or a railway crossing several other lines are examples of this. These convey the fundamental concept of a transversal. If two or more other lines in the Euclidean plane are parallel, transversals are crucial in determining this. Learn the definition of a transversal line in this article, along with how it can be used to create angles with both parallel and non-parallel lines. Study additional geometrical ideas here.
Given, I || h
Using the same internal property of transversal
81 + x = 180° (angle sum property)
x = 180 - 81
x = 99°
For (3y + 33), vertical opposite angle rule can be applied so
x = (3y + 33)
3y + 33 = 99°
3y = 99 - 33
3y = 66
y = 66/3
y = 22°
Thus, The value of the variable x is 99 and y is 22 in the given transversal of parallel lines.
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Correct question:
In the figure below, I || h. Find the values of y and x.
Can someone help? CROWN TO BEST ANSWER
Can you write me a quantitative survey or simulation question(s)? Making it a little bit complex and not too simple?
This is relating to probability and statistics and I have to answer and collect data on them.
If you write a very good one you get a crown!! but it must be well written and a good question not just how much cars are there each morning?
Here are some examples of quantitative survey or simulation questions:
On a scale of 1 to 5, how likely are you to recommend our product to a friend or colleague?
1 (Not at all likely)
2
3
4
5 (Extremely likely)
How often do you use our app?
Daily
3-4 times a week
Once a week
Once every two weeks
Rarely
How much time do you spend using our app in an average day?
Less than 30 minutes
30 minutes to 1 hour
1 to 2 hours
More than 2 hours
How satisfied are you with the overall performance of our app?
Very dissatisfied
Dissatisfied
Neutral
Satisfied
Very satisfied
How do you rate the usability of our app?
Poor
Fair
Good
Very good
Excellent
What is a survey?A quantitative survey uses statistics to gather facts and figures. It's most frequently utilized to support or refute a conclusion you may have reached after conducting qualitative research.
A survey may be qualitative, quantitative, or a combination of the two. A quantitative survey is one that uses a questionnaire with scaleable responses. If your survey has descriptive questions with in-depth answers then it is a qualitative survey. Your survey is a mixed-method survey if it uses both of them.
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demonstrating that there is a trade which will leave both players better
off. Suppose:
Amber can produce 24 apples or 48 pears in a day, and
Johnny can produce 8 apples and 32 pears in a day.
They also prefer to spend a half-day producing apples and a half- day
producing pears.
This trade will create a win-win situation for both players, leaving them both better off than they were before.
What is capacity?Capacity in math is the maximum amount that a container or figure can hold. It is typically measured in liters, gallons, or quarts and is determined by the size of the container or figure. Capacity is a measure of volume and is used in a variety of math problems, including those involving capacity conversion, calculating the amount of liquid that can be stored in a container, and determining the amount of material needed to fill a given area.
A trade that will leave both players better off is for Amber to produce all of the apples and Johnny to produce all of the pears. This way, Amber can produce 24 apples in a day and Johnny can produce 32 pears in a day, which is more efficient than if they both tried to produce both items. Amber has a higher capacity for producing apples while Johnny has a higher capacity for producing pears. Therefore, this trade makes the most sense.
The trade will leave both players better off because of the increased efficiency in production. Amber can produce 24 apples in a day and Johnny can produce 32 pears in a day, which is more efficient than if they both tried to produce both items. This means that they will both have more resources to spend on other things. They will also be able to divide their time more evenly between the two tasks, allowing them to be more productive and efficient.
In addition, the trade will also benefit both players in terms of their preferences. Amber will be able to spend a full day producing apples, which she prefers, and Johnny will be able to spend a full day producing pears, which he prefers. This trade will create a win-win situation for both players, leaving them both better off than they were before.
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For the right triangles below, find the values of the side lengths B and C .
Round your answers to the nearest tenth.
For the given right triangles the value of side b is [tex]4\sqrt{3}=6.9[/tex] meanwhile the value of side c is [tex]2.5\sqrt{2} =3.5[/tex].
RIGHT TRIANGLEA triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem. The Pythagorean Theorem says (hypotenuse)²= (leg1)²+(leg2)². And the main trigonometric ratios are: sin (x) , cos (x) and tan (x) .
The question asks the values of the side lengths b and c. The variables b and c represent one of the sides of the right triangles.
Finding the side b - You should apply the trigonometric ratio sin (Ф). Knowing that: sin (Ф)=[tex]\frac{opposite\ side}{hypotenuse}[/tex] and sin (60)=[tex]\frac{\sqrt{3}}{2}[/tex], you can write:sin (60)=b/8
[tex]\frac{\sqrt{3}}{2}=\frac{b}{8} \\ \\ 2b=8\sqrt{3} \\ \\ b=4\sqrt{3}=6.9[/tex]
Finding the side c - You should apply the trigonometric ratio sin (Ф). Knowing that: sin (Ф)=[tex]\frac{opposite\ side}{hypotenuse}[/tex] and sin (45)=[tex]\frac{\sqrt{2}}{2}[/tex], you can write:
[tex]\frac{\sqrt{2}}{2}=\frac{c}{5} \\ \\ 2c=5\sqrt{2} \\ \\ c=\frac{5}{2} \sqrt{2}\\ \\ c=2.5\sqrt{2}=3.5[/tex]
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S(t) = 3.1 ln(t) + 22 billion dollars (2 ≤ t ≤ 12),
where t is the year since 2000.† What was the total spent in 2010 (t = 10)? (Round your answer to the nearest whole number.)
How fast was it increasing? (Round your answer to three decimal places.)
The total spent in 2006 is nearly 28 billion dollars.
What is Logarithm function ?A logarithmic function is a function of the form. which is read “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1. There are no restrictions on y.
here, we have,
The total spent on research and development by the federal government in the United States given by function,
S(t) = 3.1 ln(t) + 22
To find total spent in 2006.
We have to substitute t=6 in given function.
S(6) = 3.1 ln(6) + 22
= 5.5 + 22
=27.5
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$540 is invested in an account earning 9.1% interest (APR), compounded
continuously. Write a function showing the value of the account after t years, where
the annual growth rate can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the percentage of
growth per year (APY), to the nearest hundredth of a percent.
Answer: The formula for continuously compounded interest is given by:
A = P * e^(rt)
Where:
A = the final account balance
P = the initial investment (principal)
r = the annual growth rate as a decimal
t = the number of years the investment is held
In this case, P = 540, r = 0.091 and t = t years.
So, the function showing the value of the account after t years is:
A = 540 * e^(0.091t)
To find the percentage of growth per year (APY), we can use the formula:
APY = (e^r - 1) * 100
Substituting r = 0.091, we find:
APY = (e^0.091 - 1) * 100 = 9.56%
So, the APY is approximately 9.56%, to the nearest hundredth of a percent.
Step-by-step explanation:
This math sheet is making me scratch my head. Can I have help with all of the questions? I just need the answers (check pdf or attached png). Number 3 and 4 are the tricky ones. (keeps getting taken down)
The system of equations are solved
a) y = 2x + 3
b) y = 3x
c) f = p + 3/2
d) y = 3x
e) The number of dogs Becca walks at the end of third month is y = 9 dogs
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
a)
The initial number of cards Stacy has = 3 cards
The number of cards she gets per week = 2 cards
So , the total number of cards after x weeks = 2x cards
And , the total number of cards = initial number of cards + number of cards after x weeks
Substituting the values in the equation , we get
y = 2x + 3
b)
The first point is P ( 3 , 9 )
The second point is Q ( -3 , -9 )
So , the equation of line is y = 3x
when x = 3 , y = 9
c)
f = p + 3/2 be equation (1)
when p = 1
f = 1 + 3/2
f = 5/2
when p = 2
f = 2 + 3/2
f = 7/2
when p = 3
f = 3 + 3/2
f = 9/2
d)
The equation of line is y = 3x and the graph is plotted with the points P ( 1 , 3 ) and Q ( 2 , 6 )
e)
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 0 , 1 )
Let the second point be Q ( 2 , 5 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - 1 ) / 2
Slope m = 2
Now , the equation of line is y - y₁ = m ( x - x₁ )
y - 1 = 2 ( x - 0 )
y - 1 = 2x
Adding 1 on both sides of the equation , we get
y = 2x + 1
Now , when the number of years = 4
y = 2 ( 4 ) + 1
y = 9 dogs
Hence , the equation is solved
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Emma was given $16.09 for washing her neighbor's car. She now has $20.23. Let m equal the amount of money she had before washing the car. Choose the equation to solve the problem.
Answer: m = 20.23 - 16.09
Step-by-step explanation:
Which inequality shows the region represented by the
inequality in vertex form?
Oy2(x-50)² +625
O yz-(x +50)² +625
O y2(x +50)² +625
O yz-(x-50)² +625
The appropriate answer to that same previous information is y ≥ -(x-50)² + 25
Why does inequality matter?According to analysts, inequality promotes political dysfunction and slows down economic progress. Because wealthy households typically spend a smaller share of their earnings than do poorer households, concentrated riches lower the amount of demand within the economy. The economy may suffer if low-income families have fewer possibilities.
Assume that the equation is y = a(x-h)² + k
y - a (x-50)² + 625
Put (61,504) in the equation
504 = a(61 - 50)² + 625
504 = a.121+625
121a = -121
a = -1
y = -(x-50)² + 625
Hence, y ≥ - (x-50)² + 625
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A car travels at a average speed of 48 miles per hour how many miles does it travel in 4 hours and 30 mins
Answer:
Step-by-step explanation:
48 miles = 1 hour
?? = 4.5hr
=> cross multiplicationt
4.5/1 *48Miles
= 216Miles
An art teacher found that in a bin of markers,1/2 of the caps had been left off the markers. Of these markers,2/4 of them were dried up. Use the model to find what fraction of the markers had the lids left off and were dried up.
what will be the smallest number which when added to the sum of the squares of 9 and 10 gives a perfect square?
Answer:
[tex](10 {}^{2}) + (9 {}^{2}) = 181[/tex]
[tex]181 + 15 = 196[/tex]
[tex] \sqrt{196} = 14[/tex]
Hope that helps
Answer:
15
Step-by-step explanation:
15 must be added to the sum of squares of 9 to 10 gives a perfect square.
Based on the information marked in the diagram, AFGH and AJKL must be
congruent.
G
FL
H
K
3
#
L
It is true that both triangles meet the prerequisites listed before. FGH and JKL are then consistent.
what is triangle ?Expected to give that it has three sections and three vertices, a triangle qualifies as a rectangle. It belongs to the core geometric shapes. Triangle ABC is the term utilized to refer to a triangle only with vertices A, B, and C. When the three principles are not collinear, a unique rectangle and square in Geometry and trigonometry are discovered. Triangles are polygons because they have sides and three corners. The points at which three sides of the triangle coincide are referred to as the triangle's edges. Three triangle angles are multiplied to generate 180 degrees.
given
FGH and JKL in the specified right angle
GF ≅ KJ ( one side of both right angle triangles) ( one side of both right angle triangles)
∠F≅ ∠J (right angle) (right angle)
FH ≅ JL (opposite side of both right angle triangles ) (other side of both right angle triangles )
Then ,
We can conclude that GH KL (hypotenuse of both right angle triangles)
In two right triangles, if the hypotenuse and one side of one triangle are identical to the hypotenuse and one side of the other triangle, then the two triangles are congruent according to the RHS congruence rule.
It is true that both triangles meet the prerequisites listed before. FGH and JKL are then consistent.
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A truck with 0.300 m radius tires travels at 28.0 m/s.
a) What is the angular velocity of the rotating tires in radians per second?
b) What is this in revolutions per minute?
Answer:
Angular velocity = 93.33 radians/second
Revolutions per minute = 1,782.51 revolutions per minute
Step-by-step explanation:
The relation between angular velocity, ω and linear velocity, v is given by the equation
[tex]\omega = \dfrac{v}{r}[/tex]
where ω is in radians per second
v = m/s
and r is the radius (m) of the circular motion, in this case, the radius of the tire
Given v = 28 m/s and r = 0.300 m
we get
[tex]\omega = \dfrac{28 \;m/s}{0.3\;m} = 93.33 \;radians/second[/tex]
Since 2π radians make a full revolution, 93.33 radians/sec = 93.33 ÷ 2π = 29.708 revolutions per second
To get the revolutions per minute, multiply this by 60 since there are 60 seconds to a minute:
29.708 x 60 = 1,782.51 revolutions per minute
3) Destiny has 800 gallons of water in her pool and is adding water at a rate of 25 gallons per minute. Jabez only has 20 gallons of water in his pool but water is being added at a rate of 45 gallons per minute. How long before both pools have the same amount of water? answer fast pls
Answer: After 39 minutes, both pools will have the same amount of water.
Step-by-step explanation:
Let's call the number of minutes elapsed t. Then the amount of water in Destiny's pool after t minutes is 800 + 25t gallons, and the amount of water in Jabez's pool after t minutes is 20 + 45t gallons.
We want to find the time t at which the two pools have the same amount of water, so we set their amounts equal:
800 + 25t = 20 + 45t
Subtracting 20 from both sides of the equation:
780 + 25t = 45t
Subtracting 25t from both sides of the equation:
780 = 20t
Dividing both sides of the equation by 20:
39 = t
So, after 39 minutes, both pools will have the same amount of water.
What is the vertex of the function f(x)=-1/2|x+8|-5
Hello :3
Answer:
(-8,-5)
Hope this helps! :)
the studentof class 5 had their sports day on 5th february.If they started parctising 35 days earlier on wich date did the parctice begin?
Answer:
January 2nd
Step-by-step explanation:
subtract 5 from February and 30 from January
Please help with this question I will give brainleist
The number of phones and accessories sold are 8 and 24 respectively.
How to find the number of phone and accessories sold?Indigo works as a salesperson at an electronics store and sells phones and phone accessories. Indigo earns a $8 commission for every phone she sells and a $4 commission for every accessory she sells. On a given day, Indigo made a total of $160 in commission from all accessory and phone sales and she sold 3 times as many accessories as phones.
Therefore, the number of phones and accessories she sold can be calculated as follows:
Using equation,
let
x = number of phone sold
y = number of accessories sold.
Therefore,
8x + 4y = 160
y = 3x
Therefore,
8x + 4(3x) = 160
8x + 12x = 160
20x = 160
x = 160 / 20
x = 8
Hence,
y = 3(8) = 24
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Use the following predicates when describing an object: Green, Blue, Red, Rectangle, Oval, Diamond, Border For example: Green(H) = True because object H is green Border(H) = False because object H has no border Problem 6 [21 points] For each statement below, write the contrapositive, the converse and the inverse using english (no logical operators needed). Tell which of the four statements (the three you wrote, in addition to the original statement) is true or false. If a statement is false, provide a counter-example. (example) Original Conditional Statement (P - Q): If an object is green, then it is a rectangle. False. Object H is green but it is also not a rectangle. Contrapositive (not Q - not P): If an object is not a rectangle then it is not green. False. Object H is not a rectangle but it is also green. Converse (Q - P) If an object is a rectangle then it is green. False. Object P is a rectangle but it is also not green. Inverse (not p → not q) If an object is not green then it is not a rectangle. False. Object P is not green but it is also a rectangle. (a) If an object is red, then it has a border. (b) If an object is a rectangle, then it is red and has a border. (c) If an object is red or blue then it has a border.
(a)Contrapositive: If an object does not have a border, then it is not red.
Converse: If an object has a border, then it is red.
Inverse: If an object is not red, then it does not have a border.
(b)Contrapositive: If an object is not red or does not have a border, then it is not a rectangle.
Converse: If an object is a rectangle, then it is red and has a border.
Inverse: If an object is not red or does not have a border, then it is not a rectangle.
(c)Contrapositive: If an object does not have a border, then it is not red or blue.
Converse: If an object is red or blue, then it has a border.
Inverse: If an object does not have a border, then it is not red or blue.
a) Original Conditional Statement (P - Q): If an object is red, then it has a border.
Contrapositive (not Q - not P): If an object does not have a border, then it is not red.
Converse (Q - P) If an object has a border then it is red.
Inverse (not p → not q) If an object is not red then it does not have a border.
The contrapositive is true, while the converse and inverse are false. For example, object H may have a border but not be red.
b) Original Conditional Statement (P - Q): If an object is a rectangle, then it is red and has a border.
Contrapositive (not Q - not P): If an object is not red and does not have a border, then it is not a rectangle.
Converse (Q - P) If an object is red and has a border, then it is a rectangle.
Inverse (not p → not q) If an object is not a rectangle then it is not red or does not have a border.
The contrapositive is true, while the converse and inverse are false. For example, object H may be red and have a border but not be a rectangle.
c) Original Conditional Statement (P - Q): If an object is red or blue, then it has a border.
Contrapositive (not Q - not P): If an object does not have a border, then it is not red or blue.
Converse (Q - P) If an object has a border then it is red or blue.
Inverse (not p → not q) If an object is not red or blue then it does not have a border.
The contrapositive and converse are true, while the inverse is false. For example, object H may have a border but not be red or blue.
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See if you can find how many solutions these systems of two linear equations have.
Type 0, 1, or infinite in the answer box.
y=4x - 5
y=3x - 7
Answer:
1
Step-by-step explanation:
The two equations have one solution. This is because when the two equations are graphed, the lines intersect in only one point. Therefore, the system only has one solution.
I don’t understand this question. Can you help me?
Answer:
0.5
Step-by-step explanation:
The two figures are similar
find the linear scale factor of the two figures
=L/l ......... 10/4
=2.5
use the linear scale factor to find the other side
2.5= 5/n
2.5n=5 divide both sides by 2.5
n=0.5
help
Find and simplify the expression if f(x) = x² - 8.
f(-3)=? (simplify)
Shen rented a truck for one day. There was a base fee $18.95 and there was an additional charge of 83 cents for each mile driven. Shen had to pay $213.17 when he returned the truck. For how many miles did he drive the truck
Answer:
234 miles
Step-by-step explanation:
Lets set the variable 'n' as the number of miles driven. We can set up the following equation:
18.95 + 0.83n = 213.17
Now, all we have to do is solve it. We can get 0.83n = 194.22, so n = 194.22/0.83 = 234 miles
What is the prime factorization of 246?
Step-by-step explanation:
Start by dividing it by a prime number and just go from there. The included pictures will show how :) Because the end result is all prime numbers it is prime factorization.
a clock loses 10 seconds in every two hours. in how many hours will it take to lose one hour
Answer:
The watch loses 5 seconds per hour. It is 5 minutes slow. 5 minutes is 300 seconds(5 x 60). 300 seconds therefore represents 300/5 hours=60 hours. From Tuesday 10.30 AM backwards 60 hours(2 1/2 days) brings you to 10.30 PM on Sunday evening as the date and time the watch was last set.
Step-by-step explanation:
1 1/2 times x = 2 3/4
A recycling bin is in the shape of a rectangular box. Find the height of the box if its length is 15 ft, its width is 9 ft, and its surface area is 606 ft squared (In the figure, Assume that the given surface area includes that of the top lid of the box.)
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 390 minutes, the monthly cost will be $178. If the customer uses 940 minutes, the monthly cost will be $398.
find an equation in the form y=mx+b, where x is the number of monthly minutes and y is the total monthly of the splint plan.
B) Use your equation to find the total monthly cost if 866 minutes are used.
Answer: If 866 minutes are used, the total cost will be dollars.
Therefore , the solution of the given problem of equation comes out to be total cost for 866 minutes is $1487.
What is an equation?The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.
Here,
Given :
customer uses 390 minutes , the monthly cost will be $178.
customer uses 940 minutes, the monthly cost will be $398.
To find an equation ,
where x is number of monthly minutes
and y is total monthly of splint plan.
So , equation is :
=> y =mx +b
For first case :
=> 178 = 390x + b
Second case :
=> 398 = 940x + b
Solve for x:
=> 178 - 390x = 398 - 940x
=> -200x = - 550
=> x = 550/200
=>x = 55/20
=>x = 11/4
=> x = 2.75
For value of b
=> 178 = 390(2.75) + b
=> 178 - 1072.5 = b
=> -894.5 = b
B)
=> y = 866(2.75) - 894.5
=> y = 2381.5 - 894.5
=> y = 1487
Therefore , the solution of the given problem of equation comes out to be total cost for 866 minutes is $1487.
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Please help me out with this, thank you so much!
The ranges of each equation for the domain {-2,0,2} are given as follows:
y = -x -> {-2, 0, 2}.y = x² - 3 -> {1, -3}.y = 3 + x -> {1, 3, 5}.y = 0.5x + 1 -> {0, 1, 2}.How to obtain the ranges?The domain is the set of input values for each equation, hence the range will be the set of output values for the given domain.
For the equation y = -x, the range is obtained as follows:
x = -2 -> y = -(-2) = 2.x = 0, y = -0 = 0.x = 2, y = -2.Hence the range is:
{-2, 0, 2}.
The same procedure is applied to the other equations, the range is the set containing the numeric value of the function for each input value.
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