Answers
The relations depicted in graph 1 is a function as every input value has exactly one output value.
What are functions?A relation called a function is one in which every potential input value results in exactly one possible output value. They are set of ordered pairs.
What are relations?Relations indicate the relationship between the indicated input and output value.
Graph 1:
In graph 1 each input value has exactly one output hence relations in graph 1 is a function.
Graph 2:
Graph 2 represents a circle, in this each input value does not have exactly one output value and hence it is not a function.
Graph3:
In graph 3, each input value does not have exactly one output value and hence it is not a function.
Graph 4:
In graph 4, each input value does not have exactly one output value and hence it is not a function.
Hence, relations in graph 1 is a function.
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Related Questions
Please I really really need help with this question 50 points
Which relation is a function?
Responses
{(1, 2), (2, 3), (3, 4), (4, 5)}
{(1, 2), (2, 1), (1, 3), (3, 1)}
{(0, 2), (0, 4), (0, 6), (0, 8)}
{(1, 2), (3, 4), (5, 6), (1, 8)}
Answers
Answer:
{(1, 2), (2, 3), (3, 4), (4, 5)}
Step-by-step explanation:
Given:
Which relation is a function?
{(1, 2), (2, 3), (3, 4), (4, 5)}
{(1, 2), (2, 1), (1, 3), (3, 1)}
{(0, 2), (0, 4), (0, 6), (0, 8)}
{(1, 2), (3, 4), (5, 6), (1, 8)}
Solve:
To know which relation is a function, we must know how it a function.
There are two ways to figure out.
One way is by looking at a graph - Vertical Line Test : Draw a vertical line and if the line hits the graph one time, the graph is a function.
Another way is by looking at the function : In a function there can be only one x- value(Input) for every y- value(Output). Meaning that there can be duplicate y-value but can't have any in x - value. If there is duplicate x-value meaning it not a function.
Thus, now let's look at each answer choice.
-------------------------------------------------------------------------------------------------------------
Starting with : {(1, 2), (2, 3), (3, 4), (4, 5)}
Input (x) | Output (y)
1 2
2 3
3 4
4 5
There is only one x- value. Therefore, it a function.
-------------------------------------------------------------------------------------------------------------
Next : {(1, 2), (2, 1), (1, 3), (3, 1)}
Input (x) | Output (y)
1 2
2 1
1 3
3 1
There are two 1's in x-value(Input). Therefore, it isn't a function
-------------------------------------------------------------------------------------------------------------
Then: {(0, 2), (0, 4), (0, 6), (0, 8)}
Input (x) | Output (y)
0 2
0 4
0 6
0 8
All of the x-value(Input) are the same. Therefore, it isn't a function
-------------------------------------------------------------------------------------------------------------
Lastly: {(1, 2), (3, 4), (5, 6), (1, 8)}
Input (x) | Output (y)
1 2
3 4
5 6
1 8
There are two 1's in x-value(Input). Therefore, it isn't a function
-------------------------------------------------------------------------------------------------------------
RevyBreeze
at a school, 70% of the students play a sport and 20% of the students are involved in theatre. 18% of the students do neither activity. a student is selected at random. a. [2 marks] find the probability that the student plays a sport and is involved in theatre.
Answers
The probability that the student plays a sport and is involved in theatre is 82%*20%=16.4% which is approximately equal to 14%.
The probability that the student plays a sport and is involved in theatre can be calculated using the following formula:
P(A∩B)=P(A)*P(B|A)
Where P(A) is the probability of playing a sport (70%) and P(B|A) is the probability of being involved in theatre given that the student plays a sport (20%).
Therefore, P(A∩B)=0.7*0.2=0.14
This means that the probability that the student plays a sport and is involved in theatre is 14%. This can also be calculated by subtracting the probability of not playing a sport or being involved in theatre (18%) from 100%. That is, 100%-18%=82%. Since 20% of the 82% are involved in theatre, the probability that the student plays a sport and is involved in theatre is 82%*20%=16.4% which is approximately equal to 14%.
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please help really need a short simple answers
Answers
Answer:
The weight of a square is 3.75 grams.
Step-by-step explanation:
1. Since the hanger is balanced, we know that the two sides are equal
we can make an equation using x for the squares.
first add up the weights we do know on the left side:
3+6+6+6=21
so now we have the first part of the equation
x+21
now find the equation for the right side
5x+6
now set them equal to each other and solve for x
x+21=5x+6
subtract 6 from both sides
x+15=5x
subtract x from both sides
15=4x
divide both sides by 4
x=3.75
1a = square is 3.75 g.
1b = pentagon is infinite # g. It can be called an identity - an equation which is always true, no matter what values are substituted.
2a) 3 + 6 + 6 + 6 + x = 5x + 6
2b) 6 + 6 + 2x = 3 + 3 + 6 + 2x
Step by step
Since the hangers are balanced we can assume the two sides are equal
1a) We can add the known weights for each side and use “x” for the unknown squares and solve
3 + 6 + 6 + 6 + x = 5x + 6
Simplify
21 + x = 5x + 6
Subtract 6 from each side
21 - 6 + x = 5x +6 - 6
Simplify
15 + x = 5x
Subtract x from each side to isolate variable
15 + x - x = 5x - x
Simplify
15 = 4x
Divide both sides by 4 to solve for x
15/4 = 4/4 x
3.75 = x
1b) We can add the known weights for each side and use “x” for the unknown pentagon and solve
6 + 6 + 2x = 3 + 3 + 6 + 2x
Simplify
12 + 2x = 12 + 2x
Since both sides are equal
0 = 0
This means any value will balance so the answer is infinite numbers. This is also called an identity.
23,984 +1.645 13,879 A survey of a random sample of 1280 student loan borrowers found that the average loan was $23,984 with a standard deviation of $13,879. Which of the following is a 90% confidence interval for the true mean loan amount? 13,879 (a) 23,984 +1.646 1280 11280 13,879 13,879 (c) 23,984 +1.646 (d) 23,984 +1.645 V1279 1279 0.90(1-0.90) (e) 23,984 +1.645, 1280
Answers
A 90% confidence interval for the true mean loan amount is (e) (23,984 +1.64513,879/√(1280), 23,984 -1.64513,879/√(1280))
CALCULATE CONFIDENCETo calculate a 90% confidence interval for the true mean loan amount, you can use the following steps:
Take the sample mean (23,984) as the point estimate of the true mean.Take the standard deviation of the sample (13,879) as the estimate of the true standard deviation.Find the critical value for a 90% confidence interval using a t-distribution table. Since sample size is greater than 30, we can use z-value(for normal distribution) instead. The critical value for a 90% confidence interval with a t-distribution is approximately 1.645.Calculate the margin of error using the formula:margin of error = critical value × standard deviation / √(sample size)
Using the point estimate and the margin of error, the 90% confidence interval is:(point estimate - margin of error, point estimate + margin of error)
So in this case, the 90% confidence interval is (23,984 - 1.64513,879/√(1280), 23,984 + 1.64513,879/√(1280))Learn more about Confidence here:
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Which of the following will have a product greater than 6?
A: 2/3 X 6 B: 51/50 X 6 C: 6 X 3/3 D: 6 X 24/25
!CORRECT ANSWERS GET BRAINLIEST! (Don’t answer if you don’t know)
Answers
Answer:
B
Step-by-step explanation:
6 is being multiplied by a quantity greater than 1, meaning the product will be more than 6.
8. The system of equations below describes the relationship between the time (t), in seconds,
two objects have been traveling and each object's velocity (v), in feet per second.
V = -32t
v=-32t + 16
Based on the system of equations, which statement about the velocity of the objects is true?
A.The objects never travel at the same velocity.
B. The objects always travel at the same velocity.
C. The objects travel at the same velocity only after they have been traveling for second.
D. The objects travel at the same velocity only after they have been traveling for second.
Answers
Answer: A
Step-by-step explanation:
Joe walks on a treadmill at a constant rate. The equation d=4t describes the relationship between t, the time he walks in hours, and d, the distance he walks in miles. Which of the graph best describes the relationship?
The equation d=4t is a linear equation.
When t=1, d=4 X 1 =4
When t=2, d=4 X 2 =8
The correct graph that satisfies this pair is A (as seen in the diagram) (sorry if i got it wrong)
Please Help me answer this.
Answers
Answer:
[tex]x^4[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(\sqrt[3]{x^2}\right)^6[/tex]
[tex]\textsf{Apply the exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]
[tex]\implies \left((x^2)^\frac{1}{3}}\right)^6[/tex]
[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies \left(x^\frac{2}{3}\right)^6[/tex]
[tex]\implies x^\frac{12}{3}[/tex]
Simplify the exponent:
[tex]\implies x^4[/tex]
Polygon ABCD is similar to polygon JKLM. AB = 8, BC = 6, CD = 4. DA = 8, and JK = 12. The scale factor of the perimeter of polygon ABCD to JKLM is ___ units? Enter a number answer only. Reduce all answers
Answers
The scale factor of the perimeter of polygon ABCD to JKLM is 2/3
How to determine the scale factor of the perimeter of polygon ABCD to JKLM?
The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.
Given:
Polygon ABCD is similar to polygon JKLM. AB = 8, BC = 6, CD = 4. DA = 8, and JK = 12.
scale factor of sides = AB/JK = 8/12 = 2/3
BC/KL = 2/3
6/KL = 2/3
KL = 9
CD/LM = 2/3
4/LM = 2/3
LM = 6
DA/MJ = 2/3
8/MJ = 2/3
MJ = 12
perimeter of polygon ABCD = AB + BC + CD + DA
perimeter of polygon ABCD = 8 + 6 + 4 + 8 = 26 units
perimeter of polygon JKLM = JK + KL + LM + MJ
perimeter of polygon JKLM = 12 + 9 + 6 + 12 = 39
scale factor of the perimeter of polygon ABCD to JKLM = perimeter of polygon ABCD / perimeter of polygon JKLM
scale factor of the perimeter of polygon ABCD to JKLM = 26/39 = 2/3
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Dave is 8 years younger than 4 1/2 times Julia’s age. If Dave is 19, how old is Julia?
Answers
Answer:
Step-by-step explanation:
27 years old
Why there is no AAA congruence rule?
Answers
Answer:
Я тоже не знаю
Step-by-step explanation:
Аааааааааа
Which rectangle has the same area as the triangle
shown?
3.5 mm
3 mm
6 mm
4 mm
2.5 mm
4 m
4 mm
6 mm
4 mm
6 mm
Answers
The area of the triangle is same as the area of the rectangle in the third figure with length 4 mm an width 3 mm.
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Area of a triangle = [tex]\frac{1}{2}[/tex] b h, where b is the base and h is the height.
Here for triangle, b = 6 mm and h = 4 mm
Area of triangle = [tex]\frac{1}{2}[/tex] × 6 × 4 = 12 mm²
Area of a rectangle = l × b, where l is length and b is width.
For first figure,
Area = 6 × 3.5 = 21 mm²
For second figure,
Area = 4 × 2.5 = 10 mm²
For third figure,
Area = 4 × 3 = 12 mm²
For fourth figure,
Area = 6 × 4 = 24 mm²
Hence the rectangle in the third figure has the same area as the triangle.
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Find and sketch the domain of the function f(x, y) = sqrt(y - x^2) / (1 - x^2)
Answers
The domain of f(x , y) = √(y - x²) / (1 - x²) is
D ∈ [0, 1).
The limit of a function in mathematics is a key idea in calculus and analysis regarding the behavior of that function close to a specific input.
Informally, a function f gives each input x an output f(x). If f(x) approaches L as x approaches input p, we say that the function has a limit L at that location. More specifically, any input that is sufficiently close to p when f is applied forces the output value arbitrarily close to L.
The concept of limit is specifically used in the various definitions of continuity. Roughly speaking, a function is continuous if all of its limits agree with the values of the function. The term "limit" is also used in the definition of the mathematical term "derivative," which in one-variable calculus refers to the maximum value of the slope of secant lines on a function's graph.
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Paige bought 3.5 cases of potato chips for a church fundraiser. If one case cost $4.35, how much did Paige spend?
Answers
Answer:
Down below
Step-by-step explanation:
1 case = 4.35
3.5 cases bought total
4.35 * 3.5 = 15.225
Hope this helps! :)
A furniture maker is gathering the supplies required to make 8 chairs and 1 table. The table will require 40 pounds of lumber. The furniture maker needs a total of more than 160 but less than 200 pounds of lumber. What is one possible value for the fraction of lumber required for each chair?
Answers
Answer:
To solve this problem, you can set up an equation using the given information. Let "x" be the fraction of lumber required for each chair.
We are told that the furniture maker needs a total of more than 160 but less than 200 pounds of lumber, and that the table will require 40 pounds of this lumber. Therefore, the chairs will require a total of more than 160 - 40 = 120 but less than 200 - 40 = 160 pounds of lumber.
Since there are 8 chairs, this means that each chair requires a fraction x of the total amount of lumber. We can write this relationship as:
8x > 120
8x < 160
To solve for x, you can divide both sides of both inequalities by 8:
x > 15
x < 20
Therefore, one possible value for the fraction of lumber required for each chair is any number between 15 and 20, including 15 and 20. For example, 18 is a possible value.
Answer:
20 pounds. Fraction can be 20/1.
If this help please set brainliest.
Step-by-step explanation:
We know that the furniture maker needs 40 pounds of lumber for the table and more than 160 pounds of lumber in total. This means that the furniture maker needs at least 40+160=200 pounds of lumber in total.
Since the furniture maker needs less than 200 pounds of lumber in total, the total amount of lumber needed for the chairs must be less than 200-40=160 pounds.
The fraction of lumber required for each chair is the total amount of lumber required for the chairs divided by the number of chairs. If the furniture maker needs less than 160 pounds of lumber for the chairs and is making 8 chairs, then the fraction of lumber required for each chair must be less than 160/8=20 pounds.
Therefore, one possible value for the fraction of lumber required for each chair is 20 pounds.
Use the equation s = v - 3 to find the value of s when v = 5.
Answers
Answer:
S = 2 when v = 5
Step-by-step explanation:
Because we know that v is equal to 5, we can replace v in the first equation with 5.
Therefore, our equation is s = 5 - 3
5 minus 3 is equal to two, so
s = 2, final answer
12 inches of snow fell in 26 hours.At that rate how much snow fell during school hours?
(6 hours approximately)
Answers
Answer:
2.7 rounding; exact = 2.76923076918
Step-by-step explanation:
26 divided by 12, multiplied by 6.
Answer:
Hey there! To answer this question, we need to determine the rate at which the snow was falling, and then use that rate to calculate how much snow fell during school hours.
We know that 12 inches of snow fell in 26 hours, so the rate at which the snow was falling is 12 inches / 26 hours = 0.46 inches/hour.
If we want to find out how much snow fell during school hours, which is approximately 6 hours, we can use the following formula:
Snowfall during school hours = rate of snowfall * time
Plugging in the values, we get:
Snowfall during school hours = 0.46 inches/hour * 6 hours = 2.76 inches
So if 12 inches of snow fell in 26 hours at a rate of 0.46 inches/hour, we can estimate that approximately 2.76 inches of snow fell during school hours.
I hope this helps! Let me know if you have any other questions.
How can you use a graph to model a relationship between variables when you don't know specific values?
Answers
A scatterplot is a type of data display that shows the relationship between two numerical variables.
Which graph is best for showing relationships?The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.
On the graph, each individual in the data is represented by a point. Whether or not a straight line graph passes through the origin, it is formally referred to be linear, and the relationship between the two variables is referred to as a linear relationship. Similar to this, a curved graph's depiction of a connection is referred to as non-linear.
Three main characteristics of bar graphs are: A bar diagram makes it simple to quickly compare sets of data between several groupings.
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Share £405 in the ratio 2:3
Answers
£270 will be allocated to the first person and £135 will be allocated to the second person.
What is ratio?Ratio is a mathematical expression that is used to compare two or more quantities in relation to each other. It is usually expressed as a fraction or a decimal. Ratios are used to compare values, trends, and proportions. Ratios are essential for understanding the relationship between numbers and for making informed decisions. Ratios are often used in business, finance, economics, and other areas to measure performance and risk.
This is calculated by multiplying the total amount of £405 by the ratio 2:3.
The first person's ratio is 2 out of 5 and the second person's ratio is 3 out of 5.
Therefore, 2/5 of £405 is £270 and 3/5 of £405 is £135.
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57 pages read in 60 minutes how minutes dos it take to to read 95 pages
Answers
[tex]\begin{array}{ccll} pages&minutes\\ \cline{1-2} 57 & 60\\ 95& m \end{array} \implies \cfrac{57}{95}~~=~~\cfrac{60}{m} \\\\\\ \cfrac{ 3 }{ 5 } ~~=~~ \cfrac{ 60 }{ m }\implies 3m=300\implies m=\cfrac{300}{3}\implies m=100[/tex]
What is the equation of the line that passes through the point (6,-8) and has a slope of -1/3
Answers
Step-by-step explanation:
when we have the slope and a point, we usually start with the point-slope form :
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) is the given point.
so, in our case
y - -8 = (-1/3)(x - 6)
y + 8 = (-1/3)x + 6/3 = (-1/3)x + 2
y = (-1/3)x - 6
Divide 577 by 14 using partial quotients
Answers
Answer:
41 remainder 3
Step-by-step explanation:
Definitions:
The dividend is the number that is divided by the divisor.The divisor is the number that divides the dividend. The quotient is the result obtained by the division.The remainder is the number left over.To divide a number by partial quotients:
Subtract an easy multiple of the divisor from the dividend (multiples of 100, 10 etc.)Repeat step 1 until the remainder is zero or less than the divisor.Add up the multipliers - this is the quotient.[tex]\begin{array}{rcrrr|ll}\cline{2-5}14&\smash{\big)}&5&7&7\\\vphantom{\dfrac12}&-&1&4&0&\leftarrow&10\times14\\ \cline{3-5}&&4&3&7\\\vphantom{\dfrac12}&-&1&4&0&\leftarrow&10\times14\\ \cline{3-5}&&2&9&7\\\vphantom{\dfrac12}&-&1&4&0&\leftarrow&10\times14\\ \cline{3-5}&&1&5&7\\\vphantom{\dfrac12} &-&1&4&0&\leftarrow&10\times14\\ \cline{3-5}&&&1&7\\&&-&1&4&\leftarrow&\;\;1\times14\\ \cline{3-5} \cline{6-7}\vphantom{\dfrac12}&&&&3&&41\end{array}[/tex]
Therefore, the result of dividing 577 by 14 is 41 r 3.
How do you solve for x
Answers
The value of x, given the dimensions of the triangles, can be found to be 4. 5
How to find the value of x?Triangle DEF is a dilation of Triangle ABC which means that the dimensions of DEF can be found by using the dilation scale factor and multiplying it with the dimensions of Triangle ABC.
So the first thing to do to find the value of x is to find the dilation factor which would be:
= Length of BC / Length of EF
= 4 / 3
= 1. 33
Seeing as we have the scale factor, we can now find the value of x by using the length of the corresponding segment in ABC. This corresponding segment is AB and it's length is 6 so the value of x would be:
= 6 / 1 .33
= 4. 5
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The Venn diagram shows sets A, B, C, and the universal set U.
Shade C' U (A n B)' on the Venn diagram.
Answers
The shaded portion of CUA'UB' is given in the attached figure.
What is Set?A set is a collection of well defined objects
The given sets are A , B , C and the universal set U.
A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items
Now we need to share the portion of CU(AnB)'
(AnB)'=A'UB' from the propertys
CUA'UB'
A'=U-A
B'=U-B
So the shaded portion of CUA'UB' is given in the attached figure.
Hence, the shaded portion of CUA'UB' is given in the attached figure.
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Write the ratio of 1 foot to 4 inches in simplest form.
Answers
Answer:
Step-by-step explanation:
Awnser: 3 to 1
Answer:
3:1
Step-by-step explanation:
12 inches in a foot
12 divided by 4 is 3 hope this helps:)
PLEASE HELP ASAP
Select the correct answer.
Which inequality is graphed on the coordinate plane?
Inequality representation on a coordinate plane line graph. A Dotted line intersects X-axis at unit 0.5 and Y-axis at unit minus 1.
A.
y < -2x − 1
B.
y > -2x − 1
C.
y ≤ -2x − 1
D.
y ≥ -2x − 1
Answers
The inequality that is graphed on the coordinate plane is D. y ≥ -2x − 1.
How to solve an equation?An equation has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario. It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.
An inequality shows the non equal comparison of two or more numbers and variables. From the graph, a dotted intersects x-axis at unit 0.5 (0.5, 0) and Y-axis at unit -1 (0, -1).
Using the points (0.5, 0) and (0, -1), hence:y - 0 = [(-1 - 0)/(0 - 0.5)](x - 0.5)y = 2x - 1.
Since the line graph is dotted and it is shaded to the left, hence it is the inequality y ≥ -2x − 1.
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What is the normal of a function?
Answers
The normal of a function is a line that is perpendicular to the tangent line at a particular point on the curve.
The normal of a function can be used to find the equation of the tangent line to the curve at a particular point. This is done by finding the slope of the normal and the coordinates of the point of tangency, and then using these values to write the equation of the line in slope-intercept form (y = mx + b).
For example, consider the curve y = x^2. If we want to find the equation of the tangent line to this curve at the point (2,4), we can take the derivative of y = x^2, which is y' = 2x. Setting x equal to 2, we find that the slope of the tangent line at (2,4) is 4.
The normal to this curve at (2,4) is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent line, or -1/4. We can then use the coordinates of the point of tangency (2,4) and the slope of the normal (-1/4) to find the equation of the normal: y - 4 = -1/4(x - 2), which simplifies to y = -x/4 + 2.
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the earth orbits around sun is ............ path
Answers
Answer:
elliptical
Step-by-step explanation:
The earth rotates the sun in an oval shape, not circular. Hence the "elliptical" path being the correct terminology
Answer:
elliptical path
Step-by-step explanation:
Help Pleaseee
i will give brainlist
Answers
Answer:
yes for to the community help. has for reflection and rotation. and the one is similar you have.,I can't see a lot, but thus my help.
Figure AAA is a scale image of Figure BBB. What is the value of xxx?
Answers
If A is the scale image of B, the value of x is 20.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the figure,
A is a scale image of B.
This means,
12.5/10 = x/16
x = (12.5 x 16) / 10
x = 200/10
x = 20
Thus,
The value of x is 20.
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Please solve. ......................
Answers
The solution of the system of equation 2a - 5b = -19, 3a + 5b = 9 is a = -2 and b = 3.
How to solve system of equation?System of equation can be solved using different method such as elimination method, substitution method and graphical method.
Let's solve the system of equation using elimination method.
2a - 5b = -19
3a + 5b = 9
add equation(ii) from equation(i)
Hence,
5a = -10
divide both sides by 5
a = -10 / 5
a = -2
Hence, lets find b
3a + 5b = 9
3(-2) + 5b = 9
-6 + 5b = 9
5b = 9 + 6
5b = 15
divide both sides by 5
b = 15 / 5
b = 3
Therefore,
a = -2 and b = 3
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