The given statement "The notation "f(x)" (f of x) is another way of representing y-values in a function" is true because it represents the range or output values.
What is a function?In Mathematics, a function is a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.
This ultimately implies that, a function typically indicates the relationship between input values (domain or x-values) and output values (range or y-values) of a data set, including the ways in which the elements in a table are uniquely mapped (paired).
In conclusion, we can reasonably infer and logically deduce that the output values (range or y-values) of a function are plotted on the y-coordinate of a graph and they are primarily denoted by either the notation f(x) or y.
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of a mile uses about the same number of calories as running 1 mile.
a. Gilda ran a 26 mile marathon. About how far would her sister have to swim
to use the same number of calories Gilda used during the marathon?
b. Juan swims 5 miles a day. About how many miles would he have to run to
use the same number of calories used during his swim?
If swimming 1/4 of a mile uses about the same number of calories as running 1 mile.
a. The distance her sister have to swim to use the same number of calories Gilda used during the marathon is 6 1/2 mile.
b. The number of miles that he would have to run to use the same number of calories used during his swim is 20 miles.
How to find the number of miles?a. Number of miles:
1/4 swim / 1 run = x swim / 26 run
Cross multiply
= 6 1/2 mile
b. Number of miles:
1/4 swim / 1 run = 5 swim/x
Cross multiply
x = 20 miles
Therefore the number of mile is 6 1/2 miles and 20 miles.
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The complete question is:
Swimming 1/4 of a mile uses about the same number of calories as running 1 mile.
a. Gilda ran a 26 mile marathon. About how far would her sister have to swim
to use the same number of calories Gilda used during the marathon?
b. Juan swims 5 miles a day. About how many miles would he have to run to
use the same number of calories used during his swim?
What is the first common multiple of 4 and 10?
Answer:
20
Step-by-step explanation:
4 ans ten both have 20 in common and it jas ro be the first because the next is like 40
Can someone help me answer this question
please solve this
it would mean so much to me please
House sales at Home Realty increased by 18% this year. Last year Billy sold 50 houses. How many houses were sold this year.
a: 9 houses
b: 59 houses
c: 68 houses
d: 900 houses
Answer:
b: 59 houses
Step-by-step explanation:
50 + 18% of 50 =
= 50 + 0.18 × 50
= 50 + 9
= 59
Answer:
b
Step-by-step explanation:
examine and analyze data using frequency tables
The way to analyze data using frequency tables will be:
Collect the data you want to analyze and organize it into categories or groups if applicable.Count the number of times each value appears in the data set and record it in a table.Use the frequency counts to calculate the relative frequency of each value, which is the proportion of the total data set that each value represents.Look for patterns or trends in the data by analyzing the frequencies and relative frequencies of each value. For example, you can look for the mode (most frequent value), median, mean, or quartileYou can also use the frequency table to make comparisons between different groups or categories of data.What is a Frequency table?A frequency table is a way to organize and summarize data by counting the number of times each value appears in the data set. To examine and analyze data using a frequency table, you can follow these steps:
You can also use the frequency table to create graphical representation of data like histograms, bar charts, and pie charts to make the data more visually appealing and easier to understand.
Based on the analysis, you can make conclusions about the data and make decisions. Overall, frequency tables can be very useful in understanding the distribution of data and identifying patterns and trends.
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Complete question
How do one examine and analyze data using frequency tables?
A sporting goods store sells right-handed
and left-handed baseball gloves. In one
weekend, 20 gloves were sold for a total
revenue of $940. Right-handed gloves cost
$45 and left-handed gloves cost $50. How
many right-handed gloves were sold?
Based on the estimates above, they sold 3 left-handed and 17 right-handed gloves.
Howmany right-handed gloves were sold?17 right-handed gloves and 3 left-handed gloves were sold.
We must create a set of equations to address this issue.
The total number of gloves sold was 12, and the total income was 940.
Gloves for the right hand (x) = 45.
gloves for the left hand (y) = 50.
Equations x+y=20...
45x + 50y = 561 is the first equation (ii)
Equation derived from equation I x + y = 12 – y (iii)
Equation (ii) becomes 45x + 50y = 940
by substituting equation (iii):
x = 12 - u 45
(12 - y) + 50y = 940;
540 - 45y + 50y = 940;
540 + 7y = 561;
7y = 21 y = 3
Equation I becomes x + y = 20 for y = 3, x + 3 = 20x, and 20- x = 17.
Based on the estimates above, they sold 3 left-handed and 17 right-handed gloves.
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Which shows the following expression after the negative exponents have been eliminated?
StartFraction m Superscript 7 Baseline n cubed Over m n Superscript negative 1 Baseline EndFraction, m not-equals 0, n not-equals 0
StartFraction m Superscript 7 Baseline n cubed n Over m EndFraction
m Superscript 7 Baseline n cubed m n
StartFraction m Superscript 7 Baseline n cubed Over m (negative n) EndFraction
StartFraction m n Over m Superscript 7 baseline n EndFraction
The following expression shows the main expression after the negative exponents have been eliminated: A. m⁷n³n/m.
What is an exponent?In Mathematics, an exponent can be defined as a mathematical operation that is used in conjunction with an algebraic expression to raise a quantity to the power of another and it is generally written as bⁿ.
By applying the property of exponents based on the law of indices for the division of powers, we have the following:
b⁻ⁿ = 1/bⁿ
In this context, the exponent n⁻¹ in the given algebraic expression would be rewritten based on the law of indices for the division of powers as follows;
n⁻¹ = 1/n
Substituting the given parameters into the given algebraic expression, we have the following;
(m⁷n³)/mn⁻¹ = (m⁷n³)/m × n
(m⁷n³)/m × n = (m⁷n³n)/m
(m⁷n³)/mn⁻¹ = m⁷n³n/m
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Answer:
Step-by-step explanation:
its A
can someone help me solve this??
=====================================================
Reason:
Subtract 5 from both sides
[tex]\sqrt{\text{x}}+5 = 0\\\\\sqrt{\text{x}}=-5\\\\[/tex]
But recall that the range of the parent square root function is the set of nonnegative values. There's no way to have [tex]\text{y} = \sqrt{\text{x}}[/tex] produce a negative number.
Therefore, the equation [tex]\sqrt{\text{x}}=-5[/tex] has no solutions.
----------------------------
Here's what happens if we squared both sides
[tex]\sqrt{\text{x}}=-5\\\\(\sqrt{\text{x}})^2=(-5)^2\\\\\text{x}=25\\\\[/tex]
That's the potential answer, but we need to verify.
[tex]\sqrt{\text{x}}+5 = 0\\\\\sqrt{25}+5 = 0\\\\5+5 = 0\\\\10 = 0\\\\[/tex]
We get a contradiction, which rules out x = 25 being a possible solution.
----------------------------
If you are a visual learner, then check out the graph below.
The curve [tex]\text{y} = \sqrt{\text{x}}+5[/tex] never touches the x axis; this means there's no way for it to have a root and it verifies why [tex]\sqrt{\text{x}}+5 = 0[/tex] has no solutions.
I used GeoGebra to make the graph, but Desmos is another useful option.
There are only blue counters, red counters and green counters in a box.
What is the graph of the system Y â 2x 3 and 2x 4y â 8?
The graph of the system of equations y = -2x + 3 and 2x + 4y = 8 is a pair of straight lines passing through the points (2/3, 5/3).
y = -2x + 3 …. (1)
2x + 4y = 8 …. (2)
Substitute eqn (1) in (2)
2x + 4 (-2x + 3) - 8 = 0
Using the multiplicative distributive property, we get
2x - 8x + 12 = 8
By rearranging the above eqn, we get
2x - 8x = 8 - 12
-6x = - 4
Dividing both sides by -2, we get
3x = 2
x = 2/3
Put the value of x in eqn (1)
y = -2 (2/3) + 3
y = -4/3 + 3
y = (-4 + 9)/3
y = 5/3
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wanda wants to buy a pair of shoes that cost $48 If sales tax costs 8.25% what will be the total cost
Answer:51.96 dollars total
Step-by-step explanation:
go to a smart cauculator and add 8.25% to 48
Jim has 137 crickets. He sells the crickets in groups of 6. How many groups of 6 crickets can Jim sell? How many crickets will be in the remaining group?
Answer: 132 with a remainder of 5
Step-by-step explanation: 137/6 gives us 22 an multiplying 22x6 gives us 132 leaving us with a remainder of 5.
Answer:
He can sell 22 groups of crickets and have 5 left over
Step-by-step explanation:
Please helpp
The choices are
A. 10
B. 12
C. 14
D. 16
On solving the provided question, we can say that in the triangle If AL = 2, LS = 6,LM = 4, and ST=x+ 2, as its given, M is the mid point and LM || ST , ST = 4
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.]
in the triangle
If AL = 2, LS = 6,LM = 4, and ST=x+ 2,
as its given, M is the mid point and LM || ST
so LM = ST
4 = (x + 2)
2 = x
ST = 4
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PLEASE SOLVE FOR F(X)
ALGEBRA
Write a linear function f with f(5)= -1 and f(0) = -5
Answer:
-25
Step-by-step explanation:
-5 times 5 is -25
Question 16
The production method that breaks a complex job into a series of smaller tasks is called...
(Standard 8.4.9.C.)
O assembly line
Oputting-out industry
O means of production
Ocottage industry
Question 17
The production method that breaks a complex job into a series of smaller tasks is called option 1: assembly line.
What is assembly line?
A production method known as an assembly line divides the creation of a good into steps that are finished in a predetermined order.
The most often utilised technique in the mass manufacture of goods is assembly lines. Because they train unskilled workers to complete particular activities, they lower labour costs.
So, in assembly line a large complex job is first divided into small jobs.
Then the trained workers do the smaller jobs and in a fixed order.
Therefore, this process is known as assembly line.
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Are the sides 6 cm 4.5 cm 7.5 cm form a right angled triangle?
Answer: No they cannot
Step-by-step explanation:
6+4.5 = 10.5 which is greater than 7.5 meaning it cannot create a right angled triangle
Dmitri wants to tip 20% on a restaurant bill that is $34.50. He does the following work to determine how much he should leave as a tip
Answer: $6.90
Step-by-step explanation:
20% ---> .20
34.50 x .20 = 6.9
In the triangle, suppose that m angle d = (4x-4), m angle e = (6x-3) and m angle f =x
A write an equation to find x. Make sure you use an “=“ sign in your answer
B find the degree measure of each angle
The degree measures of angles d, e, and f are 64 degrees, 99 degrees, and 17 degrees, respectively.
What is the measures of the angles in a triangle?
If we add all three angles in any triangle we get 180 degrees. So, the measure of angle A + angle B + angle C = 180 degrees. This is true for any triangle in the world of geometry.
A) The sum of the angles in a triangle is 180 degrees. Using this fact, we can write:
m∠d + m∠e + m∠f = (4x-4) + (6x-3) + x = 11x - 7
Since this is the sum of the angles in the triangle, it must equal 180 degrees. Therefore, we can write:
11x - 7 = 180
Solving for x:
11x = 187
x = 17
Therefore, x = 17.
B) Now that we know x, we can find the measure of each angle by substituting it into the expressions given for each angle:
m∠d = 4x - 4 = 4(17) - 4 = 64 degrees
m∠e = 6x - 3 = 6(17) - 3 = 99 degrees
m∠f = x = 17 degrees
Therefore, the degree measures of angles d, e, and f are 64 degrees, 99 degrees, and 17 degrees, respectively.
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Write an inequality that represents the graph
The required representation of given number line is x ∈ (-10, ∞).
What is inequality?The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently means different things to different people, it is prone to confusion in public discourse.
According to question:
We have number line,
By using baby curve method.
The representation of the line is ,
Let the line is x axis
Then
x ≥-10
x ∈ (-10, ∞)
Thus, the required inequality is (-10, ∞).
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Find the measure of the missing angles. 34° b . c b = ° c = °
The sum of all the internal angle is [tex]$180^{\circ}$[/tex].
What is Internal angles?The internal angle formed by a closed polygon's sides inside of itself. A shape's interior can contain angles. The closed, side-and-vertex-containing shapes are known as polygons. All of the internal angles of a regular polygon are equal. For instance, the inner angles of a square are all exactly 90 degrees, or the right angle. Triangles always have three inner angles that add up to 180 degrees. Because the other two angles (180°+0°+0°) would not be present, a triangle cannot have an individual angle of 180°.The sum of all the internal angle is [tex]$180^{\circ}$[/tex].
[tex]$$\angle A+\angle B+\angle C=180^{\circ}$$[/tex]
1. 34 and 88
[tex]34+88+\angle C=180 \\[/tex]
[tex]122+\angle C=180 \\[/tex]
[tex]\angle C=180-122 \\[/tex]
[tex]\angle C=58^{\circ}[/tex]
2. 45 and 90
[tex]45+90+\angle C=180 \\[/tex]
[tex]135+\angle C=180 \\[/tex]
[tex]\angle C=180-135 \\[/tex]
[tex]\angle C=45^{\circ}[/tex]
3. 10 and 102
[tex]10+102+\angle C=180 \\[/tex]
[tex]112+\angle C=180[/tex]
[tex]\angle C=180-112 \\[/tex]
[tex]\angle C=68^{\circ}[/tex]
4. [tex]$\boldsymbol{x}$[/tex]and 50
[tex]x+50+\angle C=180 \\[/tex]
[tex]\angle C=180-50-x \\[/tex]
[tex]\angle C=(130-x)^{\circ}[/tex]
The complete question is,
Find the measure of the third angle of a triangle given the measures of two angles.
1. 34 and 88
2. 45 and 90
3. 10 and 102
4. x and 50
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Find the nonzero value() of k that will caue the equation to have the given number and type of olution. Kx2−2x4=0, 2 real olution
The polynomial equation kx^2 - 2x^4 = 0 has no real solutions, for any non-zero value of k.
The equation kx^2 - 2x^4 = 0 has the form of a polynomial equation, where k and x are variables. To find the nonzero value of k that will cause the equation to have 2 real solutions, we need to analyze the roots of the equation.
The roots of the equation are the values of x that make the equation equal to zero. To find the roots, we can set each factor of the polynomial equal to zero and solve for x:
kx^2 = 0 and 2x^4 = 0
The first equation gives us x = 0, which is not a valid solution, because it is not a real number.
The second equation gives us x^4 = 0, then x = 0. But x = 0 is not a valid solution for this equation, as it is not a real number.
Therefore, the polynomial equation kx^2 - 2x^4 = 0 has no real solutions, for any non-zero value of k.
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Answer for points + 5 star + thank + brainliest (Screenshot included)
Stella bought 6 packages of balloons. Each package has 15 balloons in it.
Which TWO number sentences could be used to find the total number of balloons Stella bought?
Answers:
(6×10)+(6×5)
6×10+56
(3×10)+(6×5)
(15×3)+(15×3)
6+15
Answer:
"Choices A & D": (6 x 10) + (6 x 5). & (15 x 3) + (15 x 3) are the correct number sentences.
Step-by-step explanation:
1. How many balloons are there in total?The total amount of balloons can be found via cross-multiplication. To cross-multiply fractions, we multiply the numerator of the first fraction with the denominator of the second fraction and the numerator of the second fraction with the denominator of the first fraction.If one package has 15 balloons, how many balloons do 6 packages have?:[tex]\frac{1 package}{6 packages} = \frac{15 balloons}{X balloons}[/tex][tex]\frac{1 package xX balloons}{1 package} = \frac{6 packages x 15 balloons}{1 package}[/tex][tex]6 x 15 balloons = 90 balloons.[/tex]So now we know there are 90 balloons in 6 packages. 2. PEMDASPEMDAS states to complete the operations on numbers in the order that the letters appear.1. Parentheses, ie. (6 + 10) - (11 x 5).
2. Exponents, ie. [tex]a^{c}[/tex].
3. Division, ie. 11÷5.
4. Addition, ie. 12+1.
5. Subtraction, ie. 10-5.
3. Find the TWO NUMBER SENTENCES that can be evaluated to 90.Number Sentences:
a. (6 x 10) + (6 x 5).
According to PEMDAS. We multiply the numbers inside the parentheses first.ii. 6 x 10 = 60.
iii. 6 x 5 = 30.
iv. Then we add the products.
v. 60 + 30 = 90.
vi. So this choice IS CORRECT.
b. 6 x 10 + 5.
According to PEMDAS. We multiply first.ii. 6 x 10 = 60.
iii. Then we add the product to 5.
iv. 60 + 5 = 65.
v. 65 DOES NOT equal 90 so this is one of the incorrect number sentences.
c. (3 x 10) + (6 x 5).
According to PEMDAS. We multiply the numbers inside the parentheses first.ii. 3 x 10 = 30.
iii. 6 x 5 = 30.
iv. Then we add the products.
v. 30 + 30 = 60.
vi. 60 DOES NOT equal 90 so this is one of the incorrect number sentences.
d. (15 x 3) + (15 x 3).
According to PEMDAS. We multiply the numbers inside the parentheses first.ii. 15 x 3 = 45.
iii. 15 x 3 = 45.
iv. Then we add the products.
v. 45 + 45 = 90.
vi. So this choice IS CORRECT.
e. 6 + 15.
i. 6 + 15 = 21.
ii.21 DOES NOT equal 90 so this is one of the incorrect number sentences.
4. (6 x 10) + (6 x 5). & (15 x 3) + (15 x 3). These are the correct number sentences.Please let me know if this helped (photo also attached)!!!
based on the data which group of students should be encouraged to read more. explain your reasoining
Answer: 8th graders should be encouraged to read more. This is because they have the least read pages on average. If you calculate the average number of pages read, the 6th-grade students have a total of 25 pages, the 7th-grade students have a total of 34 and the 8th-grade students have a total of 23. It is because of their lowest total number of pages read that the 8th graders would have the most and should be encouraged to read more.
Determine the type of dilation shown and the scale factor used.
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve ~
Ratio of side of bigger rectangle to that to corresponding side of smaller rectangle (as they are similar) is :
[tex]\qquad \sf \dashrightarrow \: \dfrac{20}{8} [/tex]
[tex]\qquad \sf \dashrightarrow \: 2.5[/tex]
So, the bigger rectangle is a scaled up version of the smaller version with a scale factor of 2.5
So, our required answer will be :
Enlargement with scale factor of 2.5Is it possible to form a triangle whose sides are 3.5 cm 4.5 cm 7.5 cm long?
A triangle can be formed with the side length of 3.5 cm, 4.5 cm and 7.5 cm.
The one side of the triangle should always measure lower than the sum of remaining two sides of triangle. Based on this concept, let's check the sum and compare it with remaining side to find the possibility of triangle construction.
Side a + side b > side c
3.5 + 4.5 > 7.5
Adding the digits
8 > 7.5
Side b + side c > side a
4.5 + 7.5 > 3.5
Adding the digits
12 > 3.5
side c + side a > side b
3.5 + 7.5 > 4.5
Adding the digits
11 > 4.5
The sums are always greater than remaining side based on the mentioned lengths. Thus, the triangle can be formed.
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Which of the following is a trinomial class 8?x+y³a² + b² + c²x² + 2x15z²
The algebraic expression known as a trinomial contains three terms then the trinomials exists a^2 + b^2 + c^2
What is meant by trinomial?
Three non-zero terms make up a trinomial, which is an algebraic expression. The algebraic expression known as a trinomial contains three terms. An mathematical equation called a trinomial has three terms with on-zero coefficients, each separated by a + or - sign. It is a trinomial if three monomials are divided by addition or subtraction.
When a polynomial has three terms, it is referred to as a trinomial. Its general expression is ax² + bx + c, where a and b are coefficients and c is a constant. In order to factor trinomials, you must follow these three easy steps: Calculate the values of b (middle term) and c. (last term).
A. 8x
Not a trinomial because, it contains only one term.
B. 3y +5y² + y
A trinomial because, it contains three terms.
C. 6x²
Not a trinomial because, it contains only one term.
D. + x² +1
A trinomial because, it contains three terms.
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The angle of elevation to a nearby tree from a point on the ground is measured to be 63 degrees. How tall is the tree if the point on the ground is 22 feet from the tree? Round to the nearest foot.
The height of the tree is 43.7 feet
How to calculate the height of the tree?Height deals with the length of the tree vertically.
The given parameters that will help us solve the problem are
The angle of elevation = 63 degrees
The distance from the foot of the tree to the point is 22 feet
Using the trigonometrical ratio
Tan ∅ = Opposite/Adjacent
Tan63 = h/22⁰
Height of the tree = 22*tan63
The height of the tree is equal = 22*1.9626
Height = 43.7 feet
Therefore the tree has a height of 43.7 feet
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Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
The answers are:
1. 2(x2 + 6x + 9) = 3 + 18
2. 2(x2 + 6x) = 3
What is quadratic equation?Quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation the fundamental theorem of algebra guarantees that it has at least one solution
Let's take a look at the first choice:
2(x² + 6x + 9) = 3 + 18
Now, we will multiply 2 with every member of the other multiplier on the left side:
2·x² + 2·6x + 2·9 = 3 + 18
2x² + 12x + 18 = 3 + 18
2x² + 12x - 3 = 18 - 18
2x² + 12x - 3 = 0
Let's take a look at the second choice:
2(x² + 6x) = 3
Now, we will multiply 2 with every member of the other multiplier on the left side:
2·x² + 2·6x = 3
2x² + 12x = 3
2x² + 12x - 3 = 0
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Joseph has a bag of 4 marbles. There are 2 green marbles, 1 yellow marble, and 1 purple marble.
Which list gives the sample space for pulling 2 marbles from the bag with replacement?
List 1
List 2
List 3
List 4
The list that gives the sample space for pulling 2 marbles from the bag with replacement is given as follows:
List 4.
What is a sample space?A sample space is a set that contains all possible outcomes in the context of an experiment.
The fact that the experiment is with replacement means that for each of the two marbles, there are two possible outcomes.
Then, applying the Fundamental Counting Theorem, the total number of outcomes is given as follows:
4 x 4 = 16.
This means that the correct list is either the list 3 or the list 4.
As there is replacement, it is possible to take two purple marbles, even though there is only one purple marble, as the same can be taken with replacement, and thus the correct list is given by list 4.
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Answer: List 4
Step-by-step explanation: This answer is here to confirm the other answer. It got me 100% on my test.
Also I know the right answer because I got it right
So good luck on y'all's math tests :)
Here is some proof that the answer is List 4