Answers
The measure of JK from the given similar quadrilaterals is 30 units.
What are similar figures?Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.
Given that, JKLM and PQRS are similar figures.
MJ=21, JK=4y-2, KL=6x+3, LM=36, PQ=10, QR=11, and RS=12.
Since, given quadrilaterals are similar, we get
JK/PQ =LM/RS
4y-2/10 =36/12
4y-2/10=3
4y-2=30
4y=32
y=8
So, JK=4y-2
JK=30 units
Therefore, the measure of JK is 30 units.
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Related Questions
There are two sets of rainfall data for two different time periods in the same location.
Period 1: 2.3, 2.1, 2.2, 2.2, 2.2, 2.1, 2.4, 2.5, 2.2, 2.0, 1.9, 1.9, 2.1, 2.2, 2.3
Period 2: 2.3, 2.1, 3.3, 1.5, 3.6, 1.6, 3.0, 1.1, 4.7, 2.1, 2.4, 1.9, 2.8, 0.5, 2.3
Draw a conclusion based on the data provided.
has to be a sentence
Answers
Comparing the two sets of rainfall data for two different time periods in the same location, it can be concluded that the amount of rainfall in Period 1 was fairly constant whereas the amount of rainfall in Period 2 varied greatly.
What conclusion can be drawn from the rainfall data?The rainfall data for two different time periods in the same location provides information about the pattern of rainfall over the time periods.
The rainfall data over the period did not vary widely apart. The data shows that the amount of rainfall did not change too much.
However, for Period 2, the amount of rainfall had very different values.
Hence, it seems rainfall was more precise in frequency in Period 1 than in Period 2.
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Amanda swims 40 meters per minute. She uses
the inequality below to calculate how many
minutes, m, it takes her to swim at least 1,500
meters.
40m ≥ 1, 500
Which set of numbers makes the inequality true? A. {24, 25, 37.5}
B
{25, 28.5, 37}
C {37, 39, 40.5}
D. (37.5, 42, 43.5}
Answers
(37.5, 42, 43.5} is the set of numbers that makes the inequality true
How to determine which set of numbers makes the inequality true?
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.
Given that:
Amanda uses the inequality below to calculate how many minutes, m, it takes her to swim at least 1,500 meters.
40m ≥ 1, 500
To determine which set of numbers makes the inequality true, solve for m and check the pick that contains the values greater than or equal to m:
40m ≥ 1, 500
m ≥ 1, 500/40
m ≥ 37.5
Thus, the set of numbers that makes the inequality true is (37.5, 42, 43.5}
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4. A bus drives 1 mile west and 4 miles north. Sketch the path of the bus and find the straight line distance and angle from the bus's location to its starting point. (Hint: Use Tan¹ to find the angle whose Tangent is 4/1)
Answers
The distance of the straight line is √17 miles and the angle formed is
75.96°.
We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A bus drives 1 mile west and 4 miles north.
Let, The distance the bus travels along the west be adjacent and the distance traveled in the north be the height.
So, By Pythagoras' theorem,
The straight line distance = √(1² + 4²).
= √(1 + 16) miles.
= √17 miles.
Now, We know tan = opposite/adjacent.
tan = 4/1.
tan⁻¹(4/1) = Ф.
Ф = 75.96°.
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TJ Maxx's stock from Tuesday to Wednesday went from $22 to $25. Find the percent increase in the stock
Answers
Question 5(Multiple Choice Worth 1 points)
(06.01 LC)
Choose the expression that represents a linear expression.
6 x+6
-6 x²+8 x-9
8 x³+9 x²-10 x+11
7 x⁴-8 x³+9 x²-10 x+11
Answers
Answer:
Option a) 6x+6 is correct.
Step-by-step explanation:
Option a) 6x+6 is correct.
The given expression 6x+6 represents a linear expression.
Step-by-step explanation:
Definition: Linear expression is a mathematical statement defining an equality. It is usually a polynomial equation having degree 1. It can be written as linear relationship with variables and a constant.
6x+6 expression represents a linear expression
Because it has degree 1.
Therefore Option a) 6x+6 is correct.
The given expression 6x+6 represents a linear expression.
a) 6x+6
The given expression 6x+6 represents a linear expression.
Definition:
Linear expression is a mathematical statement defining equality. It is usually a polynomial equation having a degree of 1. It can be written as a linear relationship with variables and a constant.
6x+6 expression represents a linear expression.
Because it has degree 1.
Therefore, a) 6x+6 is correct.
The given expression 6x+6 represents a linear expression.
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Solve the system by graphing and write your answer as an ordered pair . y=3x-4 . y=-1/2x+3
Answers
This system of equations has been solved graphically and its solution is equal to the ordered pair (2, 2).
What is a graph?In Mathematics, a graph refers to a type of chart that is typically used for the graphical representation of ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.
In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection of the lines on the graph;
y = 3x - 4 ........equation 1.
y = -1/2x + 3 ........equation 2.
Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which is given by the ordered pair (2, 2).
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The graph of the system of linear equation is attached below with solution of x, y as (2, 2)
What is Graph of system of linear equationA graph of a system of linear equations is a set of lines (or a line in case of a unique solution) on a coordinate plane that represent the solutions of the system. The graph of a system of linear equations can have different types of solutions depending on the number of lines and the relationship between them.
In this problem, we will use a graphing calculator to plot the equation and find the point of intersection which is the solution to the graph.
y = 3x - 4y = -1/2x + 3The point of intersection which shows the solution (x,y) of the system of linear equation is at (2, 2)
Kindly find the attached graph below as solution.
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lim x tends infinity, (2/3)^x = ?
Answers
The limit lim x → ∞ (2/3)ˣ = ∞
What are limits?A limit is the value of a function as the independent variable tends to a particular value.
How to find the given limit?Since we have lim x → ∞ (2/3)ˣ, to find this limit, using the fact that lim x → a ㏑f(x) = ㏑[lim x → a ㏑f(x) ]
So, since lim x → ∞ (2/3)ˣ, taking natural logarithm of both sides, we have that
lim x → ∞ (2/3)ˣ
㏑[lim x → ∞ (2/3)ˣ] = lim x → ∞ ㏑(2/3)ˣ
= lim x → ∞ x㏑(2/3)
So, substituting x = ∞ into the equation, we have that
lim x → ∞ x㏑(2/3) = ∞㏑(2/3)
= ∞
So, lim x → ∞ (2/3)ˣ = ∞
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I need a quick answer please and thank you!
Answers
Information number of triangles
sides of 20 cm, 5cm and 15 cm : no triangle
angles 35, 35, and 110 degrees many triangles
angles 50, 50, and 85 degrees no triangle
sides of 7, 3 and 9 one unique triangle
What are the conditions for formation of triangle?A maximum of one unique triangle is formed when the three sides of the triangle given are in the form that the sum of the two shortest sides will be greater than the third side
In the problem, for a triangle to be formed
15 cm + 5 cm > third side, here the sum is not greater hence no triangle
7 + 3 > third side, here the sum is greater than the third side hence a unique triangle is formed
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5 subtract from 9 as an expression
Answers
The statement "5 subtract from 9" as an expression is 9 - 5
How to represent the statement as an expressionFrom the question, we have the following parameters that can be used in our computation:
A mathematical statement
The mathematical statement is given as
5 subtract from 9
Subtraction means minus
So, we have the following representation
5 subtract from 9 = 9 - 5
The question does not require that we solve the expression
So, we leave it at 9 - 5
Hence, the required expression is 9- 5
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how do i answer this question? please help
Answers
Answer:
multiply the second equation by -2(x, y) = (2, 2)Step-by-step explanation:
Apparently, you want to solve the system of equations by multiplying or dividing one of them by a factor that will make the y-coefficients the same.
MultiplicationThe y-coefficients are 2 and -1, so we can multiply the first by -1/2 to make it the same as the second, or we can multiply the second by -2 to make it the same as the first.
We prefer to work with integers, rather than fractions, so we choose to multiply the second equation by -2.
-2(3x -y) = -2(4)
-6x +2y = -8 . . . . . . . y-coefficient is the same as in the first equation
SolutionNow, we can subtract the second equation from the first to eliminate the y-terms:
(3x +2y) -(-6x +2y) = (10) -(-8)
9x = 18 . . . . . . . . . simplify
x = 2 . . . . . . . . . divide by 9
Substituting this into the original second equation gives ...
3(2) -y = 4
6 -4 = y = 2 . . . . . . . add (y-4)
The solution is (x, y) = (2, 2).
__
Additional comments
The picture posted here has no question, so there is no way to tell how to answer it. Any answer must be provided in accordance with whatever instructions are given.
Solving these equations is somewhat easier if you make the y-coefficients opposites, rather than the same. This can be done by multiplying the second equation by 2: 6x -2y = 8. Now the equations can be added to give 9x = 18, as above.
Of course, the x-coefficients are already the same, so we can more easily eliminate the x-terms. Subtracting the second equation from the first gives ... (3x +2y) -(3x -y) = (10) -(4), or 3y = 6.
Anil's age is 5 years LESS than Balu's age. Chandu's age is 3 years MORE than Balu's age. If Anil's age is ♦ years, which of the following expressions gives Chandu's age
♦-5-3
♦+5-3
♦-5 +3
♦ +5 + 3
Answers
Answer:
+5 + 3 = 8
Step-by-step explanation:
HELP ME PLEASEEE
Andrew buys 8 pounds of apples for $12.00. He wants to know and use the unit rate of the cost per pound.
True or False: The unit price is $1.45 per pound.
Answers
Answer:
False
Step-by-step explanation:
$1.45 * 8= $11.6.
The right unit price would be $1.50
I think
Answer:
false 1.5 is correct
Step-by-step explanation:
so the answer is 8 divided by 12.00 and it is false the answer is 1.5
prove that there is a 1-1 correspondence between the set of all positive integers and the set of all rational numbers
Answers
A one-to-one correspondence between the set of all positive integers and the set of all rational numbers exists.
By definition, any rational number can be expressed as a fraction a/b, where a and b are integers and b is nonzero. Since any positive integer can be expressed as the fraction a/1, each positive integer can be associated with a rational number a/1.
Thus, there is a one-to-one correspondence between the set of all positive integers and the set of all rational numbers. Furthermore, since any rational number a/b can be expressed as the product of a and b, it can also be associated with the product of two positive integers a and b.
Thus, there is also a one-to-one correspondence between the set of all rational numbers and the set of all positive integers.
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6. Sue purchased a car for $18,000 three years ago. If the car depreciates at a rate of 20% per year, the value of the car now is
Answers
By writing and evaluating an exponential equation, we can see that the value of the car now is $9,216.
What is the value of the car now?
We know that the initial value of the car is $18.000, and the value depreciates at a rate of 20% per year.
If we define x as the number of years since the car was bought, we can write the value equation as:
V(x) = $18,000*(1 - 20%/100%)^x
V(x) = $18,000*(1 - 0.2)^x
V(x) = $18,000*(0.8)^x
The value of the car after 3 years is what we get if we evaluate the exponential equation in x = 3.
V(3) = $18,000*(0.8)^3
V(3) = $9,216
That is the value of the car now.
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Consider a standard deck of 52 playing cards with 4 suits.
If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B?
(Remember that the black cards are spades and clubs.)
A) drawing a 6, a heart, or a diamond
B) drawing a 6, a club, or a spade
C) drawing the 6 of clubs or the 6 of spades
Answers
The intersection between A and B in a deck of 52 playing cards is option B, drawing a 6, a club, or a spade.
What is the intersection of two sets?In a standard deck of 52 playing cards with 4 suits
Event A is drawing a 6 from the deck
Event B is drawing a black card from the deck
Therefore A will have 4 possibilities of cards with 6 on them
B will have a total of 26 possibilities of black playing cards with both clubs and spade.
The intersection of A and B will be drawing a 6 or a black card(a club, or a spade) as the common elements in the two sets. Therefore, drawing a 6, a club, or a spade.
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Lana flips a standard coin five times. What is the probability that she flips a minimum of two tails?
Answers
The probability that she flips a minimum of two tails is 13/16.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The sample space of flipping a coin 5 times.
= {H, T} {H, T} {H, T} {H, T} {H, T}
= {HH, HT, TH, TT} {HH, HT, TH, TT} {H, T}
= {HH, HT, TH, TT} {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
= {HHHHH, HHHHT, HHHTH, HHHTT, HHTHH, HHTHT, HHTTH, HHTTT, HTHHH, HTHHT, HTHTH, HTHTT, HTTHH, HTTHT, HTTTH, HTTTT, THHHH, THHHT, THHTH, THHTT, THTHH, THTHT, THTTH, THTTT, TTHHH, TTHHT, TTHTH, TTHTT, TTTHH, TTTHT, TTTTH, TTTTT}
There are 32 possible outcomes.
There are 26 outcomes with a minimum of two tails.
The probability of flipping a minimum of two tails.
= 26/32
= 13/16
Thus,
The probability of fliping a minimum of two tails is 13/16.
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Find the slope of the following graph and choose the correct result.
A : 1/4
B : 1/3
C : 1/5
D : 2/3
Answers
Answer:
1/3
Step-by-step explanation:
Slope = Rise/Run
We are rising 1 and running 3 on the graph
Solve for the balloon volume using the
equation below where:
volume = v
circumference = c
V=
Answers
The volume of the balloon is 1441.64cm³.
How to calculate the volume?To calculate the volume these are few ways
Solve for Volume by space. All physical objects occupy space, and you can find the volume of some of them by measuring their physical dimensions. Solve for Volume by Density and Mass. Density is defined as an object's mass per a given unit of volume. Solve for Volume by Displacement.The radius of the balloon is given as 7 cm. Also, the equation to calculate the volume is given as c³/6π²
The circumference c will be:
= 2πr = 2 × 22/7 × 7
= 44
The volume will be:
= c³/6π²
= 44³/(6 × 3.14²)
= 85284/(59.1576)
= 1441.64
Therefore, volume of the balloon will be 1441.64 cm³.
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The population (in millions) of a certain country can be modeled by the exponential equation P=3.5(1.4)x where x represents the amount of decades since 1800. Find P(8)
A. 6.86 million
B. 1,715.18 million
C. 51.65 million
D. 74.83 million
E. 26.52 million
F. 65.92 million
G. 331 million
Answers
The value of the function P(8) given that P(x) = 3.5(1.4)ˣ is (c) 51.65 million
How to determine the value of the function P(8)From the question, we have the following parameters that can be used in our computation:
An exponential function
The equation of the exponential function is then given as
P=3.5(1.4)x
Express properly
So, we have
P(x) = 3.5(1.4)ˣ
where x represents the amount of decades since 1800
From the question, we have
x = 8
Substitute the known values in the above equation, so, we have the following representation
P(8) = 3.5(1.4)⁸
Evaluate the expression
P(8) = 51.65261696
Approximate
P(8) = 51.65
Hence, the value of P(8) is (c) 51.65 million
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Ill give brainliest to the person who answers
Answers
Step-by-step explanation:
They are congruent by the AAS postulate.
ΔKNJ ≅ ΔKLM by AAS. They are congruent by the AAS postulate, because it states that if two angles and the non-included side are congruent to two angles and the included side of another triangle, then the two triangles are congruent. Since they both are tick marked on one side and shown to have the same angle, you must note that they both share the same side. And because they both share the same side; they have the same angle.
On a coordinate plane, triangle A B C has points (negative 1, negative 1), (negative 2, negative 1) and (negative 2, negative 4). Triangle A prime B prime C prime has points (1, negative 1), (2, negative 1), and (2, negative 4). What is the name of the line of reflection that maps the pre-image to the image? y = x y-axis x-axis x = 1
Answers
Triangle ABC is reflected across the line y = x.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that on a coordinate plane, triangle ABC has points (negative 1, negative 1), (negative 2, negative 1) and (negative 2, negative 4). Triangle A'B'C' has points (1, negative 1), (2, negative 1), and (2, negative 4).
The name of the line across which the reflection of the triangle ABC is done is : y = x.
Therefore, triangle ABC is reflected across the line y = x.
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Answer:
Y-axis
Step-by-step explanation:
267 divided by 742
•
________
•
Answers
Answer:::
267 divided by 742
is
0.35983827493
rounded off to 0.36
Which equation represents the relationship shown in the graph?
A coordinate grid is shown with points plotted at left-parenthesis 2 comma 4 right-parenthesis, left-parenthesis 4 comma 8 right-parenthesis, left-parenthesis 6 comma 12 right-parenthesis, and left-parenthesis 8 comma 16 right-parenthesis.
Answers
The equation of the proportional relationship is y = 2x.
How to find equation of proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. A proportional relationship is one in which two quantities vary directly with each other.
Therefore, the proportional relationship can be represented as follows:
y ∝ x
y = kx
where
k = constant of proportionalityusing (2, 4)
y = kx
4 = 2k
k = 4 / 2
k = 2
Therefore, the equation is y = 2x.
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Solve the system of equations using elimination: 7x + 4y = -9 and
-5x - 3y = 7.
Answers
For the provided functions 7x + 4y = -9 and -5x - 3y = 7, the values of x and y are 1 and -4, respectively.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Given the system of equations using elimination: 7x + 4y = -9 and
-5x - 3y = 7.
From equation 2
-5x - 3y = 7
calculate the value of x in the function of y
-5x = 7 + 3y
x = (-7 - 3y)/ 5
Substituting this value in equation 1
7/5(-7 - 3y) + 4y = -9
y = -4
substituting this value in equation 1
7x + 4(-4) = -9
x = 1
Therefore, the values of x and y the given functions 7x + 4y = -9 and
-5x - 3y = 7 are 1 and -4 respectively.
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Write the equation of the line that passes through the points (-3,-1) and (5, -1).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line
Answers
The equation of line passes through the points (-3, -1) and (5, -1) will be;
⇒ y = - 1
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (-3, -1) and (5, -1).
Now,
Since, The equation of line passes through the points (-3, -1) and (5, -1)
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - (-1)) / (5 - (-3))
m = 0/8
m = 0
Thus, The equation of line with slope 0 is,
⇒ y - (-1)= 0 (x - (-3))
⇒ y + 1 = 0
⇒ y = - 1
Therefore, The equation of line passes through the points (-3, -1) and (5, -1) in slope intercept form is,
⇒ y = - 1
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In the diagram below, RT intersects QU at point S.
Which postulate should be used to prove that
RQS≈ TUS
Answers
The triangle QRS and TUS are congruent.
What means postulate?
In mathematics, a postulate is a statement that is considered exactly true without showing any proof on it.
What is parallelogram?The quadrilateral whose opposite sides are equal in length and parallel to each other is called parallelogram. The parallelogram that has four right angles is called rectangle. One of the main properties of parallelogram is that the diagonals bisect at a point.
In the given question, two diagonals QU and RT intersect at point S.
If we join the point Q with T and R with U, RQTU parallelogram is formed.
QU and RT are the diagonals of the parallelogram.
According to the properties of parallelogram, RQ = TU and QT =RU
As the diagonals intersect at S, we can discuss about two triangle RQS and TUS
we find side length QS = side length SU and side length RS = side ST
On the other hand, ∠QSR =∠UST because the diagonals bisect at S
Finally, the triangle RQS and TUS has two equal side length and one equal angles. Besides, other side and remaining angles are also similar.
So, ΔRQS≅ΔTUS
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(4/5) divided by (3/4)
Answers
Answer:16/15
1 and 1/15
Step-by-step explanation:
4/5 x 4/3
K=ºC+273.15
Slope
Y-intercept
Answers
The slope of the straight line equation as required to be determined in the task content is; 1.
The y-intercept of the straight line equation as represented in the task content is; 273.15.
What values correctly represent the slope and y-intercept of the given equation?It follows from the task content that the values which correctly represents the slope and y-intercept of the given equation be determined.
Since the given equation is;
K = ºC + 273.15
By comparison with the slope-intercept equation of a straight line; y = mx + c where y = K and x = °C.
It follows that the slope, m = 1 and the y-intercept, c = 273.15.
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Ivanna needs 201 programs for the school play on Thursday. How many boxes of programs will she need, given that each box contains 46 programs?
boxes
31
E
Answers
The number of boxes of programs that she needed will be 5.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
Ivanna needs 201 programs for the school play on Thursday. If each box contains 46 programs.
Then the number of boxes of programs that she needed will be given as,
⇒ 201 / 46
⇒ 4.369
The number of boxes cannot be in decimal form. Then the number of boxes will be 5.
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The graph of a function is shown. What is the function type?
Answers
The type of function that is shown in the given graph image is called a; Cubic Function
How to identify the graph function?The vertical line test is a tool in graph functions that is very important when we are trying to determine the function that a specific graph represents. Now, we can further say that the vertical line is typically one that includes all points alongside a specific x-value with the y-value of a point that a vertical line will intersect a graph to represent an output for that particular input x value.
Now, there are different types of graphs and they all depend on the particular type of function that is being graphed. The eight most popular graphs are linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal. Each of the types of graphs are usually unique which means that is easy to visually differentiate from the rest.
In this given graph, we can see that the graph shows an image that corresponds to a cubic function because of the classical infinite branches, then the three real roots and then the two extrema values
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