Is this relation a function? Justify your answer.
11
10
9
8
7
654321
1 2 3 4 5 6 7 8 9 10 11
OA. Yes, because every x-value corresponds with a single y-value.
OB. Yes, because the number of x-values is the same as the number of
y-values.
OC. No, because two points with the same y-value have different x-
values.
OD. Yes, because every x- and y-value is positive.
Answers
Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.
What is meant by function?A function is a relationship between a collection of inputs and one output per input. A function is, to put it simply, an association between inputs where each input is linked to exactly one output.For each function, a domain, codomain, or range exists. A function is often represented by the expression f(x), where x represents the input.A "chunk" of code that may be utilized repeatedly rather than having to be typed down repeatedly is called a function.Programmers can break a huge problem down into smaller components, each of which can perform a specific purpose, by using functions.Therefore,
(i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)
Every input has a single output, proving that it is a function.
The elements in the domain of the provided relation are therefore 2,5,8,11,14, and 17.
Here, domain is equal to two and range is one.
(ii) (2,1),(4,2),(6,3),(8,4),(10,5)(12,6),(14,7)
Every input has a single output, proving that it is a function.
Therefore, 2, 4, 6, 8, 10, 12, and 14 make up the domain of the provided relation.
Here, range is 1,2,3,4,5,6,7 and domain is 2,4,6,8,10,12,14.
(iii) (1,3),(1,5),(2,5)
Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.
The complete question is:
Which of the following relations are functions? Give reasons.
If it is a function determine its domain and range
(i) (2,1),(5,1),(8,1),(11,1),(14,1),(17,1)
(ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)
(iii) {(1,3),(1,5),(2,5)
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Related Questions
FOR BRAINIEST PLEASE ANSWER ASAP
Answers
To do so, we must find the slope (m), which represents the linear rate of change, so let’s choose two ordered pairs and plug them into the slope formula.
Ordered pairs (x, y)——>(miles traveled, total fee)
(2, 17) and (5, 21.50)
Slope formula:
m=(y₂ - y₁)/(x₂ - x₁)
Plug in the ordered pairs from above:
m=(21.5-17)/(5-2)
Simplify:
m=4.5/3
m=1.5
So, the rate is $1.5 per mile. To determine the y-intercept (if there is one), we used a point we already have and input x into the equation and determine how y is formed.
We currently have the equation: y=1.5x+b, where b=y-intercept and is unknown currently.
Let’s plug in the first ordered pair: (2, 17). We will then solve for b.
(17)=1.5(2)+b
Simplify:
17=3+b
Solve for b (y-intercept):
Subtract 3 from both sides:
17-3=b
14=b; b=14
So, we now have a y-intercept of 14. Let’s complete the equation now that we have all the information:
y=1.5x+14
Let’s input two ordered pairs into the equation again to assure we’re correct. For simplicity, we’ll use (2, 17) and (5, 21.50):
(17)=1.5(2)+14
Simplify:
17=3+14
17=17
Now, the second ordered pair:
(21.5)=1.5(5)+14
Simplify:
21.5=7.5+14
21.5=21.5
So, we are correct with the equation.
This means that answer is: the first option - “When the cab travels 0 miles, the fee is $14.00.”
What is the solution for the system of linear equations shown in the graph?
Graph and answers in picture below
Answers
Answer:
(d) (-1/4, 3/4)
Step-by-step explanation:
You want the solution to the graphed system of equations.
SolutionThe solution is the point that satisfies both equations, the point where the lines intersect. That point is in the 2nd quadrant, where x-values are negative.
The only suitable answer choice is ...
(x, y) = (-1/4, 3/4)
It is industry norms and key business ratios Dunn and Bradstreet reported that Q1 Q2 and Q3 were 2037 gasoline service stations sales to inventory ratios or 24 833.4 and 53.8 respectively from this we can conclude that what percentage of these service stations have sales to inventory ratio
Answers
From the inventory ratios of 24 8, 33.4 and 53.8 of Dunn and Bradstreet report. It can be concluded that
50% of these service station had sales to inventory ratios of 53.8 or moreHow to find the correct statement about the reportsThe problem is seeking expression of ratios in percentage
Ratios represents part or share of a whole while percentage refers to a fraction of hundred
Calculation of the whole among the ratios 24 8 : 33.4 : 53.8 is done by adding up
= 24 8 + 33.4 + 53.8
= 108
Expressing as ratio 53.8 a percentage, we have
= 53.8/108 * 100
= 0.4981 * 100
= 49.81%
approximately 50%
We can therefore say that inventory of 53.8 or more is 50%
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8. Determine whether each relation is a function. a. 2 3 -2 -1 -2 X 4 5 3 4 5 3 7 0 y b. 1 2 1 2 X 7 2 y 3 4 y 5 6 5 fur
Answers
on solving the equation, we have therefore the value of x from the given equation comes out to be 13.5
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
equation given is 3(x+2)=7x-48
value of x
[tex]3(x+2)=7x-48\\ 3x+6=7x-48\\7x-48-3x-6=0\\ 4x-54=0\\ 4x=54\\ x=54/4\\ x=13.5\\[/tex]
value of x from the given equation comes out to be 13.5
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1/950/18/4
Write an equation and solve for b using the diagram
below. YOU MUST WRITE THE EQUATION IN
ORDER TO GET CREDIT.
40°
(6b+ 2)°
OLIC
Answers
One possible equation is (6b+2)+40 = 90
That equation solves to b = 8
======================================================
Explanation:
The angles (6b+2) and 40 degrees combine to form a right angle, aka 90 degree angle. This is because the upper angle is 90 degrees, so the remaining portion is 180-90 = 90.
So (6b+2)+40 = 90 is one possible equation.
Let's solve for b.
(6b+2)+40 = 90
6b+42 = 90
6b = 90-42
6b = 48
b = 48/6
b = 8
---------------
A slight alternative.
The angles (6b+2), 40, and the 90 degree angle form a straight line.
The three angles add to 180
(6b+2)+(40)+(90) = 180 is another possible equation
6b+132 = 180
6b = 180-132
6b = 48
b = 48/6
b = 8
WHAT IS THE RECIPOCAL OF 6/5
Answers
Answer: 5/6
Step-by-step explanation:
The reciprocal of a number is 1 divided by that number. The reciprocal of 6/5 is 5/6.
Answer:
5/6
Step-by-step explanation:
Well to find a fraction's reciprocal all you need is to flop it like this
6/5 => 5/6
so 5 takes the place of 6 and 6 takes the place of 5
that's how 6/5 turns into 5/6
hence, the reciprocal is 5/6 .You select a family with four children. If M represents a male child and F a female child, the set of equally likely outcomes for the children's genders is {FFFF, FFFM, FFMF, FMFF, MFFF, MFFM, MFMF, MMFF, FFMM, FMFM, FMMF, FMMM, MFMM, MMFM, MMMF, MMMM. Find the probability of selecting a family with exactly four female children.
Answers
There are 16 possible outcomes listed and only one of the outcomes has exactly four female children
A figure was dilated so that the new area is 16 times bigger than the original area. Find
one possible set of perimeters for the two figures.
Please Explain!!
Answers
One possible set of perimeters for the two figures is 4x and 16x.
What is Dilation?Dilation is one of the type of transformation where the size of the object is made smaller or larger without affecting the shape.
Let A be the area of the original figure.
New area after dilation = 16A
Suppose that the figure is a square.
Area of a square is the square of it's side length and perimeter is four times the length of one side.
Let 'x' be the length of a side of the original figure.
Area of the original figure, A = x²
Perimeter of original figure = 4x
New area = 16 A = 16 x² = (4x)²
So the side length of new figure = 4x
Perimeter of new figure = 4 (4x) = 16x
Hence one of the possible set of perimeters for the two figures given is 4x and 16x.
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Aregular decagon has a radius of 8 cm. What is the approximate area of the decagon?
Answers
Using a calculator we can approximate this to be A ≈ 568.89 cm^2.
What is regular decagon?A regular decagon is a two-dimensional geometric shape with ten sides of equal length and ten interior angles of equal measure. It is a polygon, which is a two-dimensional shape made up of line segments (straight sides).
The approximate area of a regular decagon can be calculated using the formula A = (5/2) * a^2 * tan(π/5), where a is the length of each side. Since the radius of the decagon is 8 cm, the length of each side can be calculated using the formula a = 2r * sin(π/10) where r is the radius.
Plugging these values into the formula we get A = (5/2) * (2 * 8 * sin(π/10))^2 * tan(π/5) which simplifies to A = 320 * sin^2(π/10) * tan(π/5).
Using a calculator we can approximate this to be A ≈ 568.89 cm^2.
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Find the measure of the missing angles.
Answers
Answer:
c = 62 degrees
b = 118 degrees
Step-by-step explanation:
vertical angles are congruent. the 62-degree angle is vertical to angle c
linear pair angles are supplementary. the 62-degree angle is supplementary to angle b. 180 = 62 + b. 118 = b
If you’re currently making $10.50 per hour and you’re offered a new job that pays $11.75 per hour, what will be your percent of increase in pay?
Answers
Answer: To find the percent increase in pay, you can use the following formula:
percent increase = ((new pay - old pay)/old pay) * 100
Plugging in the values given in the question, you get:
percent increase = ((11.75 - 10.50)/10.50) * 100
= (1.25/10.50) * 100
= 0.119047619 * 100
= 11.9047619%
Therefore, the percent increase in pay is approximately 11.9%.
Step-by-step explanation:
Determine where the graph of the given function is concave upward and concave downward. Find the coordinates of all inflection points.
g(t) = t^2 - 27/t
Answers
The coordinates of the inflection points are (3, 0) and it concave upwards
How to determine the coordinates of the inflection points.From the question, we have the following parameters that can be used in our computation:
g(t) = t^2 - 27/t
Express properly
So, we have
g(t) = t² - 27/t
Calculate the second derivative
So, we have
g''(t) = 2 - 54/t³
Set the differentiated equation to 0
2 - 54/t³ = 0
So, we have
2t³ = 54
Divide by 2
t³ = 27
Take the cube roots
t = 3
Substitute t = 3 in g(t) = t² - 27/t
g(3) = 3² - 27/3
g(3) = 0
This means that the inflection point occurs at t = 3 and the coordinates of the inflection point are (3, 0)
How to determine the point of concave upward and concave downwardRecall that
g''(t) = 2 - 54/t³
Next, we check if the second derivative exist at t = 0,
g''(0) = 2 - 54/0³
g(0) = undefined
The undefined value implies that the graph has a vertical inflection point at t = 0
And as such, the graph of the function is concave upward
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Imagine products you might create in a given amount of time: poems, baked goods, online videos, movie reviews, video game mods, scarves, drawings, or anything else you can picture yourself making as part of a small, one-person business. Choose and describe two such products. They will be product 1 and product 2
Answers
Producing written and visual content for social media can be divided into two items that can be developed as a one-person small business in a little amount of time.
What is social Media?Social media is internet communication that enables real-time information sharing and customer interaction. Social networking can help you: better connect with your audience. building online networks sell and publicise the goods and services you offer.
Social media's effects on business
The social media presence of businesses in order to boost visibility, engagement, positioning, and value creation for their intended audience has been facilitated by the digital revolution.
In order to help businesses establish their strategy in the digital environment, marketing and advertising agencies can quickly produce digital media such posters and catalogues in addition to advertising text as their core offerings.
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LINE GRAPH EASY PLEASE HELP!!
Answers
In 8 hours, Badria reads 48 chapters of a book. What is her rate in chapters per hour?
Answers
Answer:
6chapters per hour
Step-by-step explanation:
Take 48 chapters divided by the no hrs which are 8
find the first term in geometric sequence if the 11th term is -160 and the ratio is -1/3
Answers
Answer:
-9447840
Step-by-step explanation:
You want the first term of a geometric sequence whose 11th term is -160 and whose common ratio is -1/3.
N-th termThe n-th term of a geometric sequence is ...
an = a1·r^(n-1)
where a1 is the first term and r is the common ratio.
Using the given values, we have ...
-160 = a1·(-1/3)^(11 -1)
a1 = (-160)·(-3)^10 = -9447840
The first term is -9447840.
Rachel has 13 books and some empty boxes. She can put 4 books in each box. How many boxes can she fill completely?
How many books will be left over?
Answers
Answer:
she can fill 3 boxes completely and one book will be left over
Step-by-step explanation:
if a box can be filled with 4 book then we do 4 multiply 3 and then 12 books will can fill 3 box and there is 13 books so 1 book will be left over
Step-by-step explanation:
- Set up a proportion using the information given. For instance, 4/1 = 13/x.
- Cross multiply. This should give you 4x = 13.
- Divide 4 on both sides to get the x alone. This should give you x = 3.25. But since you can't have 3.25 boxes, you'll have 3 boxes filled completed. If you do the math 4 books x 3 boxes that, would you 12 books meaning 12 books fit in 3 boxes. Therefore, 1 book would be left over.
To find the next number in the sequence: 7, 10, 13, 16, ____ you would need to do which of the following?
Answers
Answer:
19. Add
Step-by-step explanation:
10 - 7 =
13 - 10 =
16 - 13 =
16 + 3 =
i’m need help !!!! thanksss
Answers
Answer:
x=77
Step-by-step explanation:A triangle is always 180 degreesin total so u would take 26 away from 180 witch is 154 then devide it as the angles that are left are corresponding angles. Then you dwvide 154 by 2 witch is 77. X=77
Marissa and Kyle own a total of 66 dvds. Kyle owns 3 more than twice as many dvds as marissa. how many dvds does marissa own?
Answers
The number of Dvds owned by Maarissa is 45
How to find the number of dvds?The given parameters that will guide us in finding the number of dvds owned by marissa are
Marissa and Kyle own a total of 66 dvds. Kyle owns 3 more than twice as many dvds as marissa.
Let the number of dvds owned by Marissa be x
Nymber of dvds owned by Kyle be y
This implies that x+y = 66 ............................1
also, 2y + 3 = x ..................................................2
Substitute x = 2y + 3 in equation 1
= 2y + 3+y =66 Collecting like terms
⇒ 3y = 63
Making y the subject of the relation we have y=21
Recall that 2y + 3 = x
That means x = 2(21) + 3
x=45
Therefore Marrissa owns 45 dvds
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In 2000 a company increased its workforce by 60%. In 2001 it decreased its workforce by 60%. How does the size of its workforce at the end of 2001 compare with the size of the workforce at the beginning of 2000?
A) It is 36% lower.
B) It is 6% lower.
C) It is unchanged.
D) It is 36% higher.
I know that the answer is A, but I'm having trouble figuring out the steps. Can anyone help me?
Answers
Therefore, the solution of given problem of percentage indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
A percentage is defined.A% is a number that expresses a quantity as a percentage of 100; it can also be expressed as a decimal or a fraction. Placing 100 in the denominator and the percentage value in the numerator will allow you to convert a percentage to a fraction.
Here,
Before any changes,
let w represent the size of the workforce. There are:
50 percent growth is equivalent to increasing by 1.5, therefore w(2000) = w(1999) * 1.5
A 50% drop is equal to dividing by 1.5, therefore w(2001) = w(2000)/1.5
Reverse the first equation to create the second equation.
w(2001) = w(1999) * 1.5/1.5
Remove the 1.5 from the top and bottom so that w(2001) = w (1999)
Therefore, this indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
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I need help on this question it’s due tomorrow.
Answers
The transformation in the graph is 1 units vertically downwards.
The correct option is A: The graph of g(x) is the graph of f(x) shifted down 1 unit.
What is transformation on the graphs?Let the function f(x) and g(x) are two real functions.
And g (x) = f (x) + k, where k is real numbers.
Function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
Given:
The function f(x) = eˣ,
and the function g(x):
g(x) = f(x)-1= eˣ-1.
The graph of both the functions are given in the attached images.
For the base function f (x) and a constant k, the function given by
The transformations in the graph is defined by:
g (x) = f (x) + k, where k is real numbers.
Function can be sketched by shifting f (x), k units vertically.
The value of k determines the direction of the shift. Specifically,
if k > 0, the base graph shifts k units upward, and
if k < 0, the base graph shifts k units downward.
Here, k = -1
And the graph of g(x) is the graph of f(x) is shifted down 1 unit.
Therefore, the f(x) is shifted to 1 unit downward.
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O
(-∞0,00)
(-2,00)
A
{rr > -1}
{x|x < -2}
Answers
The domain of the function whose graph shown in diagram is x ≤ 1.
What is the domain of a function?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
The domain of the function whose graph shown in diagram is x ≤ 1 as the value of x is less than 1.
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PLEASE HELP ME RIGHT NOW DUE TOADY ASAP
Answers
Answer:
A 0.9102
Step-by-step explanation:
A correlation coefficient tells us the strength of the linear relationship between two variables. It is measured on a scale from +1 to -1.
The gradient is positive as it is going up the slope, so the correlation coefficient is positive. We can rule out B.
A correlation coefficient of 0 suggests there is no correlation, however, the scatter graph shows a positive correlation, so we can rule out C.
A correlation coefficient of 1 implies that there is a perfect positive correlation, so all the scatter points lie in a straight line. In the scatter graph given, the points do not all lie on a straight line, so we can rule out D.
Hence, the correlation coefficient is A, 0.9102
You give tours on the Great Lakes and talk about points of interest. A lighthouse typically has 2 beacons that rotate together but not necessarily facing opposite directions. In that way, it can be a shorter time between the first and second flashes than between the second flash and the third flash
(when the first beacon comes around for the second time). One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. If the beacons are set 120 degrees apart along the rotation, ash shown below, what is this ratio?
Answers
The required ratio is 1:2.
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given that, A lighthouse typically has 2 beacons that rotate together but not necessarily facing opposite directions, it can be a shorter time between the first and second flashes than between the second flash and the third flash, One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. The beacons are set 120 degrees apart along the rotation
If the second beacon is 120° after the first, then the first is 360° -120° = 240° after the second.
Therefore, the ratio of the times between beacons is =
120° : 240° = 1 : 2
Hence, the ratio is 1 : 2
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An art museum opens at 9 am and closed at 5 pm the function V gives the number of visitors in a museum h hours after it opens explain what this statement tells us about the situation: V(5)=36
Answers
Answer:
Five hours after the museum opens, there are 36 visitors.
Step-by-step explanation:
V(5)=36 means that when h is 5, V is 36. Assuming this is a function from what information this gives.
the average weight of 20 students in a certain school was found to be 165 with a standard deviation of 4.5 a) construct a 90% confidence interval for the population mean
Answers
A 90% confidence interval for the population mean is; CI = (163.355, 166.655)
How to find the confidence Interval?The formula to find the confidence level here is;
CI = x' ± z(s/√n)
Where;
CI is confidence level
z-score at confidence level
x' is sample mean
s is standard deviation
n is sample size
We are given;
Sample mean; x' = 165
Sample size; n = 20
standard deviation; s = 4.5
z at CL of 90% = 1.645
Thus;
CI = 165 ± 1.645(4.5/√20)
CI = 165 ± 1.655
CI = (163.355, 166.655)
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Evaluate x−25 when x=35.
Answers
Answer: 5
Step-by-step explanation:
1. Since you are told x=35. Plug it into x.
35-25
2. Simplify
35-25=5
Answer: 10
Step-by-step explanation:
x-25
substitute 35 for x
35-25 = 10
If the probability of s1 = .6 and the probability of F = .40 what is the value at node 4.
Group of answer choices
320
280
310
260
200
Answers
If the probability of s1 = .6 the value above node degree 4 will be 320, as determined by the solution.
What does a node's degree mean?The area of mathematics known as probability deals with numerical descriptions about how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
According to the given information:S1 probability = 0.6
F's likelihood is 0.40.
If the probability of S1 is given a value of 0.6, then
Probability of S2 then equals 0.4.
Using the table equation's payoff values as an exception.
EV=Σ
Each decision's expected value is calculated.
EV(Node 8) = 0.6 * 100 + 0.4 * 300
= 180
EV(Node 9) = 0.6 * 400 + 0.4 * 200= 320
We chose the best value for node 4 from nodes 8 and 9.
The ideal option for node 9 is the line complicated branch with EV(node 8) = 180.
The ideal anticipated value is determined to be 320.
Node 4's EV is 320.
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Find y'' for x² + y⁴ = 20
Answers
now, this is implicit differentiation, so it comes with the assumption that "y" is a function in "x terms", as opposed to a plain vanilla variable, whilst "x" is just that, so
[tex]\cfrac{d}{dx}[x^2+y^4=20]\implies 2x+\stackrel{chain~rule}{4y^3\cdot \cfrac{dy}{dx}}=0\hspace{5em}\cfrac{d}{dx}\left[ 2x+4y^3\cdot \cfrac{dy}{dx}=0 \right] \\\\\\ 2+\stackrel{product~rule}{\left( 12y^2\cdot \cfrac{dy}{dx}+4y^3\cdot \cfrac{d^2y}{dx^2} \right)}=0\implies 2+12y^2\cdot \cfrac{dy}{dx}+4y^3\cdot \cfrac{d^2y}{dx^2}=0 \\\\\\ 2+12y^2\cdot \cfrac{dy}{dx}=-4y^3\cdot \cfrac{d^2y}{dx^2}\implies {\Large \begin{array}{llll} \cfrac{2+12y^2\cdot \frac{dy}{dx}}{-4y^3}=\cfrac{d^2y}{dx^2} \end{array}}[/tex]