The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function?

The Group Of Points {(0, 1), (0, 5), (2, 6), (3, 3)} Is Not A Function, But The Group Of Points {(1,

Answers

Answer 1

You can use the definition of a function to classify which mapping is a function and which mapping is not a function.

The first group is not a function as there are two outputs for 0

The second group is a function as there are single output to each input.

What is a function?

There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.

Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.

So, for a mapping to be function, we need each input to be mapped to only one output.

Using above definition

For group 1, we see that 0 has output 1 and output 5 both. Since for a mapping to be a function, we need each input to have single output, thus, this group doesn't represent a function.

For group 2, we see that each input has only one output, thus,this group represents a function.

Remember that we assumed that the pair of points were written as

(input, output)

Thus.

The first group is not a function as there are two outputs for 0

The second group is a function as there are single output to each input.

Learn more about functions here:

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Related Questions

Write the phrase "one more than the product of six and nine" as a mathematical expression.

Answers

Answer:

6.9+1

Step-by-step explanation:

hope it helps

[tex]\huge\mathfrak\blue{ ☃ }[/tex]

Answer:

the product of six and nine is fifty five

Given an undirected graph G= (V, E) determined by the adjacency matrix as follows:
01001

10111

01010

01101

11010

The number of odd degree vertices of the graph is

Select one

A.2
B.4
C.3
D.1
if anyone knows the question please help me :(

Answers

The degree of a vertex is defined as the number of edges that touch the vertex. The (i, j)-th entry of the adjacency matrix tells you whether vertex i touches vertex j (1 if yes, 0 if no). Then the degree of vertex i is equal to the sum of the i-th row in the adjacency matrix.

• vertex 1 : degree = 0 + 1 + 0 + 0 + 1 = 2

• vertex 2 : degree = 1 + 0 + 1 + 1 + 1 = 4

• vertex 3 : degree = 0 + 1 + 0 + 1 + 0 = 2

• vertex 4 : degree = 0 + 1 + 1 + 0 + 1 = 3

• vertex 5 : degree = 1 + 1 + 0 + 1 + 0 = 3

So, the correct answer is A. 2.

I need help with this, can anybody help me? thank you, have. a great day!

Answers

Answer:a

Step-by-step explanation:

Answer:

As a mixed number, it is 3 5/8.

As an improper fraction it is 29/8.

Hope that helps you. x

Solve the equation square root of x-2+5 = 7 for the variable. Show each step of your solution process

Answers

Answer:

x=4

Step-by-step explanation:

x+3=7

subtract 3 from both sides

simplify

Work out m and c for the line: y = 8 − x

Answers

The answer is

M = -1
C = 8

m=-1 and c=8 for the line  y = 8 − x

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation is  y = 8 − x

This equation we can write in the form of slope intercept form

y=-x+8

y=(-1)x+8

Now compare the above equation with slope intercept form

m=-1 and c=8

Hence, m=-1 and c=8 for the line  y = 8 − x

To learn more on slope intercept form click:

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#SPJ2

At a local movie theatre, sodas cost$4.50 and bags of popcorn cost &1.50. Kirk buys three times as many bags of popcorn as sodas and pays a total of $36. Write a system of equations and solve it using any method to determine how many of each item Kirk bought.

Answers

Answer:

this might help

Step-by-step explanation:

this might be kinda similar

Chickens and rabbits

In the yard were chickens and rabbits. Together they had 18 heads and 56 legs. How many chickens and how many rabbits were in the yard?

Correct answer:

chickens:  8

rabbits:  10

Step-by-step explanation:

a+b=18

2a+4b=56

a=8

b=10

a+b = 18

2•a+4•b=56

a+b = 18

2a+4b = 56

a = 8

b = 10

what step is first when solving
3/4 x-3 = -18
NO LINKS WHATSOEVER

Answers

Answer:

Add 3 to both sides.

Step-by-step explanation:

Add 3 to both sides.

This is how you figure it out. Imagine you have a value you want to use for x on the left side, such as 5.

In other words, evaluate 3/4 x - 3 for x = 5

The left side turns into 3/4 × 5 - 3.

What order of operations would you use now on the left side.

1) Multiply 3/4 by 5

2) Subtract -3

To solve an equation, you do the opposite operations in the opposite order.

Since to evaluate the left side with a number for x, you end by subtracting 3, to solve the equation you start by adding 3. Then you divide by 3/4.

Answer: add 3 to both sides

What is mean number of strawberries collected each day Round to the nearest whole number if necessary 107,122,148,135,126,154

Answers

Answer:

132

Step-by-step explanation:

step one: add all the numbers in the data set.

      107 + 122 + 148 + 135 + 126 + 154

                                         = 792

step two: divide the sum by the how many numbers are in the data set

      792/6 = 132

the mean number of strawberries collected each day is 132 strawberries.

hope this helps!<3

Seven less than one-fourth of a number is 2. What is the number?

Answers

Based on the equation given, it can be deduced that the value of the number will be 36.

Let the number be represented by x

Therefore, seven less than one-fourth of a number will be:

=(1/4 × x) - 7

= 0.25x - 7

Now, seven less than one-fourth of a number is 2 will be written as:

0.25x - 7 = 2

0.25x = 2 + 7

0.25x = 9

x = 9/0.25

x = 36

Learn more about equation on:

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which measures form a triangle​

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

Measure of each side of a triangle can't be greater than the sum of the other two sides and can't be smaller than the difference between the two other sides. therefore the most appropriate choice is ~

4 cm , 7 cm and 9 cm

I hope it helps ~

We have:

1) 3 + 5 = 8 ⇒ wrong

2) 4 + 7 > 9 ⇒ right

3) 2 + 11 < 15 ⇒ wrong

ANSWER: 4 cm, 7 cm, 9 cm

Ok done. Thank to me :>


A line passes through the point (-4, 7) and has a slope of -5/4
Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=-\frac{5}{4} x+2.[/tex]

Step-by-step explanation:

1) slope-interception form is: y=s*x+i, where 's' and 'i' are slope and interception;

2) according to the condition s= -5/4, then the required equation is: y= -5/4 *x +i, where i - interception;

3) if to substitute (-4;7) into the required equation y= -5/4 *x +i, it is possible to calculate 'i':

7= -5/4*(-4)+i; ⇒i=2, then

[tex]4) \ finally, \ y=-\frac{5}{4}x+2.[/tex]

1/2 2/5 6/10 least to greatest

Answers

Answer:

2/5, 1/2, 6/10

Step-by-step explanation:

did problem

Answer:

1. 2/5

2. 1/2

3. 6/10

Step-by-step explanation:

Hope this helps

May I get braineist pls

Help me pllllllllllease! I have only got 2 minutes!
When I divide an integer by 15, the remainder is an integer from 0 to 14. When divide an integer by 27, the remainder is an integer from 0 to 26. For instance, if the integer is 100 then the remainders are 10 and 19, which are different. How many integers from 1 to 1000 leave the same remainders after division by 15 and after division by 27?

Answers

Answer:

Two minutes for what???

sin(3x)+sin(x)=0 solve for x

Answers

Answer:

[tex]x=k\frac\pi2; k\in \mathbb{Z}[/tex]

Step-by-step explanation:

Let's use the formulas that change a sum of two sines into a product:

[tex]sin\ p + sin\ q =2 sin{\frac{p+q}2}cos{\frac{p-q}2}[/tex]

[tex]sin 3x+sinx =2sin \frac{3x+x}2 cos \frac{3x-x}2 = 2(sin2x)(cosx)=0[/tex]

At this point it's either [tex]sin 2x =0 \implies 2x= k\pi \rightarrow x = k\frac{\pi}2[/tex]

or [tex]cosx=0 \rightarrow x=\frac\pi2+ k\pi = (2k+1)\frac\pi2[/tex]

with the usual condition of [tex]k\in \mathbb{Z}[/tex].

Now if you look at both sets of solutions, first one considers all multiples of [tex]\frac\pi2[/tex], while the second only the odd multiples. it means that the first includes the second.

Help me plz plllzzzz

Answers

Whenever you multiply by a negative number.

Hopefully that helps you a little.

A large community college has professors and lecturers. The total number of faculty members is 136. The school reported that they have 6 professors for every 11 lecturers. How many professors does the community college employ?

Answers

Your answer is 88 I believe.

The price of gas on Wednesday was $2.03/gallon. On Friday, the price of gas was $2.26. What is the percent change in the price of gas?

Answers

Answer:

Percent change in the price of gas is [tex]9.85\%[/tex]

Step-by-step explanation:

Percentage change equals the change in value divided by the absolute value of the original value, multiplied by [tex]100[/tex] .

[tex]\text { Percentage Change }=\frac{\Delta V}{\left|V_{1}\right|} \times 100[/tex]

Here

[tex]\Delta V=2.26-2.03\\\\=0.23\$/gallon[/tex]

[tex]V_{1}=2.03\$/gallon[/tex]

The percent change in the price of gas

[tex]=\frac{0.23}{2.03} \times100\\\\=9.85\%[/tex]

Percent change in the price of gas is [tex]9.85\%[/tex]

pls helpppppppppppppppp

Answers

Answer:

Step-by-step explanation:

I believe it’s yes

Answer:

Yes

Step-by-step explanation:

A function has only one output value for each input value.

If a shirt for RS 18 is marked up to RS 20 then the percentage increase is equal to

Answers

Answer:

11.1%

Step-by-step explanation:

Increase = 20 - 18

= 2

% increase= increase/initial price × 100

= 2/18 × 100

11.1%

The points (0,3) and (1,12) are solutions of an exponential function. What is the equation of the exponential function?

A) h(x) = 3(4)x
B) h(x) = 4(3)x
C) h(x) = 4(1∕3)x
D) h(x) = 3(0.25)x

Answers

Answer:

A

Step-by-step explanation:

An exponential function has the form

y = a[tex](b)^{x}[/tex]

Use the given solutions to find a and b

Using (0, 3 ) , then

3 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , so

a = 3

y = 3[tex](b)^{x}[/tex]

Using (1, 12 ) , then

12 = 3[tex]b^{1}[/tex] = 3b ( divide both sides by 3 )

4 = b , then

h(x) = 3[tex](4)^{x}[/tex] → A

5. How much would d dollars earn in one year at thē rate of p percent compounded annually?

Answers

Answer:

a

Step-by-step explanation:

a

Question
Bill needs to mow his yard which has the dimensions in the shape below. What is the area of yard he needs to mow?
Note: Round your answer to one decimal place.
12 m
5 m
15 m

Answers

Answer:

Step-by-step explanation:

imagine you chop off a right triangle from the left side

now you have a rectangle and a right triangle

the rectangle

height 5

width 12

5 x 12 = 60

triangle

height 5

width 3

3 x 5 = 15

15 / 2 = 7.5

60 + 7.5 = 67.5 m^2

Answer: 67.5 m^2

Step-by-step explanation:

To find out the area of the yard, we split the shape up into a triangle and rectangle. The area of the triangle is,

A = 1 × b × h/2 = 1 × 3 × 5/2 = 7.5 m^2.

And the area of the rectangle is,

A = 12 × 5 = 60 m^2.

We then add the area of the triangle and the area of the rectangle.

A = 7.5 + 60 =67.5 m^2

Rounded to one decimal place, the area of the yard is 67.5 square meters.

the product of seven non-zero factors. of which only three are positive. is

a) positive
B) negative
c) null​​

Answers

Answer:

The answer is A

Step-by-step explanation:

This is one of those sneaky questions where you think there is no definite answer, but don't despair. There is an answer.

You have 7 numbers

3 of them are positive which means greater than 0. Let's pick them

3 4 5 = 60

That part's easy. Those 3 numbers give a plus result.

Now try the other 4 numbers

-3  - 2  - 1 - 4

Do you see what's going to happen. You have -3 * - 2 = 6

then you get - 1 * - 4 = 4

All of a sudden you get a positive result 6 * 4 = 24

60 * 24 = 1440

So the answer is any 3 plus numbers multiplied by 4 minus numbers gives a plus result.

Answer:

  a) positive

Step-by-step explanation:

If 3 of the 7 numbers are positive, the other 4 are negative. The product of an even number of negative factors is positive. The product of any number of positive factors is positive.

The product is positive.

A guy wire runs from the top of a cell tower to a metal stake in the ground. Jayden places a 8-foot tall pole to support the guy wire. After placing the pole, Jayden measures the distance from the stake to the pole to be 5 ft. He then measures the distance from the pole to the tower to be 21 ft. Find the length of the guy wire, to the nearest foot.

Answers

Answer:

length of the guy wire: 49.056

Step-by-step explanation:

here are the steps

Answer:

47 FT

Step-by-step explanation:

The body mass index, I, can be used to determine an individual's risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by
700W
the formula, or model, I=
where W= weight, in pounds, and H = height, in inches. Jerome is 70 inches tall. What weights will keep his body mass index
H2
between 20 and 28?

Answers

Using the BMI equation, it is found that weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.

The BMI B, for a person of weight w(in pounds) and height h(in inches) is given by:

[tex]BMI = \frac{703w}{h^2}[/tex]

In this problem:

Height of 70 inches, hence [tex]h = 70[/tex].

For a BMI of 20 inches, the weight is:

[tex]BMI = \frac{703w}{h^2}[/tex]

[tex]20 = \frac{703w}{70^2}[/tex]

[tex]w = \frac{20 \times 70^2}{703}[/tex]

[tex]w = 139.4[/tex]

For a BMI of 28 inches, the weight is:

[tex]BMI = \frac{703w}{h^2}[/tex]

[tex]28 = \frac{703w}{70^2}[/tex]

[tex]w = \frac{28 \times 70^2}{703}[/tex]

[tex]w = 195.2[/tex]

Weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.

To learn more about the BMI, you can take a look at https://brainly.com/question/24457127

The curve y= 1/3 x⁴ - 4x² -3x has a gradient of -3 at three points.

Find the coordinates of these points.

Answers

Answer:

[tex]\boxed{(0, 0), (\sqrt{6}, -12-3\sqrt{6}), (-\sqrt{6}, -12+3\sqrt{6})}[/tex]

Step-by-step explanation:

Step 1: Take the derivative of the function with respect to x

[tex]\frac{d}{dx} (\frac{1}{3}x^4-4x^2-3x)\\=\frac{d}{dx} (\frac{1}{3}x^4)-\frac{d}{dx}(4x^2)-\frac{d}{dx}(3x)\\=\frac{4}{3}x^3-8x-3[/tex]

Now, you have the gradient of every point given the x value. We want the gradient to be -3, so,

Step 2: Set the derivative of the function equal to -3 and solve for x

[tex]\frac{4}{3}x^3-8x-3=-3\\\frac{4}{3}x^3-8x=0\\4x(\frac{1}{3}x^2-2)=0\\[/tex]

We can see that one solution is x=0.

The other 2 solutions are:

[tex]\frac{1}{3}x^2-2=0\\\frac{1}{3}x^2=2\\x^2=6\\x=\sqrt{6}, x=-\sqrt{6}[/tex]

Now that we found out the x value, we can plug it in back to the equation to find their respective y value:

x=0: y=0

x=sqrt(6): y=-12-3sqrt(6)

x=-sqrt(6): y=-12+3sqrt(6)

Hence we have our answer.

Given -3, -2,0,3,7 .... Find the next term

Answers

Answer:

12

Step-by-step explanation:

9. The length of a rectangle is 3 cm longer than twice the width. If the area of the rectangle is 65 cm2,
find its length and the width.

Answers

Answer:

  length: 13 cm

  width: 5 cm

Step-by-step explanation:

You may be aware that 65 = 5×13. We note that 13 is 3 more than twice 5, so these are the dimensions of the rectangle:

  5 cm wide; 13 cm long

__

If you want so solve this algebraically, you can let w represent the width. Then the length is 2w+3 and the area is ...

  A = LW

  65 = (2w+3)(w)

In standard form, this equation is ...

  2w^2 +3w -65 = 0

To factor this, you look for factors of 2×(-65) = -130 that have a sum of 3. Those would be ...

  -130 = (-10)(13)

Then the factored equation is ...

  2w^2 +13w -10w -65 = 0

  w(2w+13) -5(2w+13) = 0

  (w -5)(2w +13) = 0   ⇒   w = 5, -13/2

The positive solution makes sense in this problem, so ...

  width = 5 cm

  length = 2(5) +3 = 13 cm

HELP!!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the multiplication expressions to the exponential expressions.

Answers

Answer:

Step-by-step explanation:

If A=−2x+8 and B=2x−4, find an expression that equals 2A+B in standard form.

Answers

Answer: -2x + 12

Step-by-step explanation:

2A + B = 2(-2x + 8) + (2x - 4) = -4x + 16 + 2x - 4 = -2x + 12

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