Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent functions? table a x -8 -3 0 6 y 24 4 9 72 table b x 9 15 24 38 y -14 -16 53 29 table c x 15 24 24 100 y -16 53 29 7 table d x -8 6 0 6 y 24 4 9 72 a. Table a and table c b. Table a and table b c. Table b and table c d. Table c and table d.

Answers

Answer 1

Table a and table c defines a relationship between an input x and an output y of function.

A function is a set of ordered pairs (x, y) in which each value of x corresponds to exactly one value of y. In other words, for a given value of x, there should be only one corresponding value of y.

Looking at the tables, we can see that Table a and Table d both satisfy this condition. In both tables, for each value of x, there is only one corresponding value of y. Therefore, Tables a and d represent functions.

Table b and Table c do not satisfy this condition, because there are multiple values of y for some of the values of x.

For example, in Table b, the value of x is 24 for both (24, 53) and (24, 29). Similarly, in Table c, the value of x is 24 for both (24, 53) and (24, 29). Therefore, Tables b and c do not represent functions.

Therefore table a and table c represents function of input x and output y.

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Answer 2

A function is a collection of ordered pairs (x, y) where each x-value is matched up with exactly one y-value. In other words, there should only be one value of y that corresponds to a certain value of x.

We can see from the tables that Tables a and Table d both meet this requirement. In both tables, there is only one value of y that corresponds to each value of x. Tables a and d so depict functions.

Because there are many possibilities of y for some of the values of x, Tables b and c do not meet this requirement.

For instance, the value of x in Table b is 24 for both (24, 53) and (24, 29). The value of x is 24 in Table c for both (24, 53) and (24, 29). Tables b and c do not, therefore, represent functions.

Tables a and c therefore show the function of input x and output y.


Related Questions

What is the following product ?

Answers

Answer:

6 (square root) 200

Step-by-step explanation:

Answer:

the second choice 6/200

Step-by-step explanation:


How many solutions does the following equation have?
5x + 8 - 7x = -4x + 1

Answers

-2x + 8 = -4x + 1
- 1 -2x
7 = -6x

-6x


7/-6 or -7/6

Which equation can be used to solve for xxx in the following diagram?

Answers

Answer:

A

Step-by-step explanation:

math

We can solve for x in the diagram based on the vertical angles theorem using the equation: A. 60 = (4x - 20)

What is Vertical Angles Theorem?

Angles that lie vertically opposite each other when two straight lines intersect are congruent too each other, based on the vertical angle theorem.

Applying the vertical angles theorem, we can solve for x in the given diagram using the equation below:

60 = (4x - 20)

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Suppose the total area is represented by the equation x^2+14x+24. If the area 1 is x^2 square units and area IV is 24 units, what must be true about area II and area III.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Total = x^2 + 14x + 24[/tex]

[tex]Area\ I = x^2[/tex]

[tex]Area\ IV = 24[/tex]

Required

True about area II and III

The question is incomplete; so, I will answer using general knowledge.

If the total area is:

[tex]Total = x^2 + 14x + 24[/tex]

And there are 4 areas, then;

[tex]Total = Area\ I + Area\ II + Area\ III + Area\ IV[/tex]

Rewrite as:

[tex]Total = Area\ I + Area\ IV+ Area\ II + Area\ III[/tex]

This gives:

[tex]x^2 + 14x + 24 = x^2 + 24+ Area\ II + Area\ III[/tex]

Collect like terms

[tex]x^2 -x^2 + 14x + 24 -24= Area\ II + Area\ III[/tex]

[tex]14x = Area\ II + Area\ III[/tex]

Rewrite as:

[tex]Area\ II + Area\ III = 14x[/tex]

So, the sum of areas III and IV must be 14x

What is this math problem?
3x = 6y - 21
6x - 9y = -30

Answers

Answer 1: x=2y−7

Answer 2: x= 3/2y -5

Heart if this helped

Answer:

x=1 and y=4

Step-by-step explanation:

Let's solve your system by substitution.

3x−6y=−21;6x−9y=−30

Step: Solve3x−6y=−21for x:

3x−6y=−21

3x−6y+6y=−21+6y(Add 6y to both sides)

3x=6y−21

x=2y−7

Substitute2y−7for x in6x−9y=−30:

6x−9y=−30

6(2y−7)−9y=−30

3y−42=−30(Simplify both sides of the equation)

3y−42+42=−30+42(Add 42 to both sides)

3y=12

y= 4

Substitute4foryinx=2y−7:

x=2y−7

x=(2)(4)−7

x=1(Simplify both sides of the equation)

8 + 7 + (-4) on a number line

Answers

Answer:

11 is the answer

Step-by-step explanation:

8+7-4

15-4

11

on number positive 11 is the answer

its just simple addition and substraction then the result can displayed on number line where 11 comes on number line mark that point

i need an answer to this with workings
pls type it if ur answering..cos file links aren't working
Expand (a-b)^7​

Answers

Answer:

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

Step-by-step explanation:

There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.

[tex](a-b)^7[/tex]

[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]

Now simplify, multiply two terms together,

[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]

Repeat this process,

[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]

Repeat this process one final time,

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

An 18-ounce bottle of juice costs $4.86. What is the unit rate for the juice

Answers

Answer:

3.7

Step-by-step explanation:

Answer:

The Unit Rate would be 0.27:1

Step-by-step explanation:

Divide 4.86 by 18 to get 0.27

Hope this helps! Pls make brainliest

Are there any supplementary angles ? If so name two pairs if not explain why not

Answers

I need to see the picture but just know that supplementary angles=180 degrees

If out of a sample of 180 drivers prefer a standard transmission over automatic , about a standard transmission in a population of 900
A:700
B:22
C:360
D:200

Answers

Answer:

This is a matter of ratio and proportion, let us represent the unknown value as x. Since the two ratios are related,

40 : 180 :::: x : 900

40 / 180 = x / 900

x = (40/180)(900)

x = 200q

In a polling station, there were 900 registered voters. During an election 10% of the registered voters did not cast their votes. The rest cast their votes to Ahmed, Babu and Chambuko in the ratio 3:2:1.If 30 votes were spoilt,how many votes did Ahmed get?​

Answers

Answer:

Ahmed got 390 votes

Step-by-step explanation:

Here, we want to know the number of votes obtained by Ahmed

from the question, there were 900 registered voters

10% did not cast their votes

The number that didn’t cast their votes will be;

10% of 900

= 10/100 * 900 = 90

So the rest 90% casted and this value will be 900-90 = 810

810 people casted their votes

30 votes were spoilt;

The number of valid votes is thus;

810 - 30 = 780

Ahmed got a ratio of 3 in 3:2:1

The total value here is 3 + 2 + 1 = 6

So what Ahmed got will be;

3/6 * 780

= 780/2 = 390

Школьник поднял гирю весом 16 кг на высоту 2,1 м за 2 с. Определите:
а) Механическую работу, выполненную школьником;
б) Механическую мощность, развитую им;
в) На сколько увеличилась при этом потенциальная энергия си-
стемы „гиря-земля". Считать g = 10 Н/кг.
ОЧЕНБ ОЧЕНЬ СРОЧЬНО НАДО. ПОМОГИТЕ ПОЖАЛУЙСТА ЩЯС.​

Answers

Answer:

what type of language is this isn't this India?

16,when g=4
Answer please

Answers

Answer:

Is this multiplcation cuz its 4

Step-by-step explanation:

4x4=16

Answer:

4X4=16

Step-by-step explanation:

ILL GIVE BRAINLY IF YOU CAN HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

If you simply add a negative sign to the x coordinate, you get the reflected point.

Which set of data has the highest interquartile range? Group of answer choices 8,12,14,14,20 8,12,14,14,22 9,13,14,15,19 all of the above

Answers

Given:

The given data set are:

8,12,14,14,20

8,12,14,14,22

9,13,14,15,19

All of the above

To find:

The set of data that has the highest interquartile range(IQR).

Solution:

We know that, the interquartile range(IQR) of a data set is the difference between the third quartile and first quartile.

[tex]IQR=Q_3-Q_1[/tex]

All the given data set has five values in ascending order. So, the first value is the minimum value, second value is the first quartile, third value is the median, the fourth value is the third quartile and the fifth value is the maximum value.

For 8,12,14,14,20,

[tex]IQR=14-12[/tex]

[tex]IQR=2[/tex]

For 8,12,14,14,22,

[tex]IQR=14-12[/tex]

[tex]IQR=2[/tex]

For 9,13,14,15,19,

[tex]IQR=15-13[/tex]

[tex]IQR=2[/tex]

All interquartile ranges are equal. So, all the data sets has t he highest interquartile range.

Therefore, the correct option is D.

Find what x =

4
9
16

Answers

16 Bc it’s just that

Find the value of ‘N’ in each of the following:

a. 2n = ¼
b. 10⁶÷10n = 10²​

Answers

[tex] \purple{ \huge{ \tt{ \: ✨ Answer ✨ \: }}}[/tex]

[tex]a. \: \: n \: = \: \red{ \boxed{ \tt{{ \: \frac{1}{8} \: }}}} \\ \\ \: \: \: \: \: \: b. \: \: n \: = \: \red{ \boxed{ \tt{ \: 10 {}^{ - 3} \: }}}[/tex]

Answer:

a. n=1/8

b. n=10^-3

please mark as brainliest

Please help me out there is no tutorssssss

Answers

Answer:

its 12

heart if it helped!

Please help!!! I’ll mark you as brainliest!!!!!

Answers

Answer:80%.

Step-by-step explanation:

Solve for x in the picture below

Answers

Answer:

x=19

Step-by-step explanation:

90+7x+3+128+5x+8+111+9x-19=(6-2)180 (angle sum of polygon)

x=19

Aiden got a loan for $600 that has a 5% simple interest for
2 years.

Answers

Answer:

The simple interest is $60 for 2 years

Step-by-step explanation:

1. 600*0.05=30

2. 30*2=60

Solve for x. Show all your steps/work.
216x = 6x + 1

Answers

216x-6x=1
210x=1
x= 1/210
x= 0.00476

simplify the expressing by combining like terms
1 + 3x - 8x + 7​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{1 + 3x - 8x + 7}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS }[/tex]

[tex]\large\textsf{ (3x - 8x) + (1 + 7)}[/tex]

[tex]\large\textsf{3x - 8x = \bf -5x}[/tex]

[tex]\large\textsf{1 + 7 = \bf 8}[/tex]

[tex]\large\textsf{= -5x + 8}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf -5x + 8}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

If you apply the changes below to the linear parent function ,f(x)=|x| over the x-axis what is the equation to the new function

Answers

Answer:

Answer: A. G(x)= ax=y= - f(x) is flip over x-axis. Therefore, f(x) =14x would become f(x) =-14x. Therefore, final transformed function f(x)=-14x is vertically stretch by a factor of 14 and flip over the x-axis.

Step-by-step explanation:

If 6 men build 150m wall how many needed to build 200m

PLZS help need by today!

Answers

Answer:

15

Step-by-step explanation:

We know that the expression is equal to 110° since it is a vertical angle. So what we do is we ad 10 to both sides of the equation. We are left with 8x=120 so if we divide 120/8 we get 15 which would leave it as x=15. Now plug it in and check it.

whats the difference between coterminal, reference, and rotational angles?

Answers

Answer:

If two angles in standard position have the same terminal side, they are called coterminal angles.

The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.

Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation

If two angles in standard position have the same terminal side, they are called coterminal angles.

What is an angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.

The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.

Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation.

Hence, if two angles in standard position have the same terminal side, they are called coterminal angles.

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Plz help ASAP I will add branliest to the first answer, I need to solve for the letter

Answers

Answer:

6. r=2

8.x=3

Step-by-step explanation:

6. 4r-3=5

4r-3=5 add 3 to both sides

4r=8 divide 4 by both sides

r=2

8. 5x-6=9

5x-6=9 add 6 to both sides

5x=15 divide 5 by both sides

x=3

Question 6) 4r - 3 = 5
First we need to add 3 to each side.
4r - 3 + 3 = 5 + 3
4r = 8
Then we will divide each side into 4 groups.
4r/4 = 8/4
r = 2

Question 8) 5x - 6 = 9
First we need to add 6 to each side.
5x - 6 + 6 = 9 + 6
5x = 15
Then we will divide each side into 5 groups.
5x/5 = 15/5
x = 3

find the value for x

Answers

Answer:

X=22

Step-by-step explanation:

measurement of angle a is right angle

mA=4x+2

90=4x+2

4x=90-2

4x=88

4x/4=88/4

X=22

Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)

3 pages, with work pleasee

Answers

Step-by-step explanation:

isosceles trapezoidtrapezoidrhombussquarerectangleparallelogramquadrilateral10x+18+62=180 co interior angle

10x=180-80

x=100/10=10

:.x=10

9.

8x+2=7x+14 corresponding angle of parallelogram are equal

8x-7x=14-2

x=12

10.

4x+4=5x+1 corresponding sides of parallelogram are equal

4-1=5x-4x

x=3

11.

4+3x=19corresponding sides of parallelogram are equal

3x=19-4

x=15/3

x=5

5/7 x 9/10

please show your work and the answer has to be a simplified fraction . thanks :)

Answers

Answer:

Step-by-step explanation:

5/7 x 9/10

=5/7 9/5 X 2

=1/7 X 9/2

=1 X 9/ 7 X 2

=9/ 7 X 2

=9/14

The expression 5/7 x 9/10, is equivalent to 9/14.

What is a expression? What is a mathematical equation?Linear function is a function whose degree is one. It is of the form -f(x) = ax + bA mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

5/7 x 9/10

Given is -

5/7 x 9/10

1/7 x 9/2

9/14

Therefore, the expression 5/7 x 9/10, is equivalent to 9/14.

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