A function f is onto if and only if, each element in the codomain of f is the image of at _____ one element in the domain of f

Answers

Answer 1

Answer:

A function f is onto if and only if, each element in the codomain of f is the image of at least one element in the domain of f.

Step-by-step explanation:

A function f is onto if and only if, each element in the codomain of f is the image of at least one element in the domain of f.

Let us consider a function f which maps the elements of X to each element in the domain of f, such that

f(1) = D

f(2) = B

f(3) = C

f(4) = C

From here, we can determine the domain and range, so

Domain  X of f = {1, 2, 3, 4}

Domain  Y of f =  {D, B, C}

Therefore, it is clear that every element in the codomain of f is the image of at least one element in the domain of f.


Related Questions

Solve formula as indicated. - F = m + 2a for a

Answers

Answer:

The value of 'a' will be:

[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]

Step-by-step explanation:

Given the formula

[tex]-F = m+2a[/tex]

Let us solve the equation for 'a'

[tex]-F = m+2a[/tex]

Flip the equation

[tex]2a+m=-f[/tex]

Add -m to both sides

[tex]2a+m+(-m)=-f+(-m)[/tex]

[tex]2a = -f - m[/tex]

Divide both sides by 2

[tex]\frac{2a}{2}=\:\:\frac{-f\:-\:m}{2}[/tex]

[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]

Therefore, the value of 'a' will be:

[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]

Amy has an adjusted gross income of $85,600. For the house she is considering buying, her monthly mortgage payment would be $1,711.22, her semi-annual property tax bill would be $3,239, and her annual homeowner’s insurance bill would be $980. She has a credit card bill that averages $500 per month and a $475 car payment. What is her back-end ratio?​

Answers

Answer:

85,600:6,905.22

Step-by-step explanation:

Read the excerpt from Silent Spring.

On the farms the hens brooded, but no chicks hatched. The farmers complained that they were unable to raise any pigs—the litters were small and the young survived only a few days. The apple trees were coming into bloom but no bees droned among the blossoms, so there was no pollination and there would be no fruit.

The repetition of the word “no” in this excerpt helps create a tone of

motivation.
doom.
acceptance.
violence.

Answers

Answer:

B.) Doom

Step-by-step explanation:

I just did that test on Edge.

The repetition of the word “no” in this excerpt helps create a tone of doom.

What is tone?

Tone in literature is the general character as well as the  attitude of the author on the piece of writing or the  situation.

In the case of the text, doom was used which means the predicament or unpleasant situation that took place in  the farms when the  hens brooded, but no chicks hatched.

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Quick Help please !!! Don’t really know what to do :(

Answers

Answer:

do you have to find the perimeters? or areas?

Step-by-step explanation:

OK ILL SAY IT PEOPLE WANT MONEY TO ANSWER PROBLEMS HERE If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe

Answers

Yes, one of the numbers has to be 48 because the mean of numbers is all the numbers added together, and then divided by how many numbers you added. In this case, we have the mean of 6 number is 48. Now if you think about it,
48*6 = 288
And if you divide 288 by 6, you get:
288/6 = 48.
To make it easier for you to understand, let’s do the original way of finding the mean of this, so :
48 + 48 + 48 + 48 + 48 + 48 = 288
There are six 48’s right? So we divide :

48+48+48+48+48+48
——————————— = 48.
6


When two variables are in a proportional relationship, which of the
following is true about their values. *

their sums are a constant

their differences are a constant

their products are a constant

their quotients are a constant
Submit

Answers

Answer:

Their quotients are a constant

Step-by-step explanation:

Required

Quotient of two variable

Let the variables be x and y

The quotient of x and y in this case is their constant of variation.

Take for instance:

[tex](x_1,y_1) = (2,4)[/tex]

[tex](x_2,y_2) = (4,8)[/tex]

[tex](x_3,y_3) = (8,16)[/tex]

Their quotient is calculated as follows:

[tex]Quotient = \frac{y}{x}[/tex]

[tex](x_1,y_1) = (2,4)[/tex]

[tex]Quotient = \frac{4}{2} = 2[/tex]

[tex](x_2,y_2) = (4,8)[/tex]

[tex]Quotient = \frac{8}{4} = 2[/tex]

[tex](x_3,y_3) = (8,16)[/tex]

[tex]Quotient = \frac{16}{8} = 2[/tex]

Notice that the quotient has a constant value of 2.

However, the sum, difference or products will give a different set of values entirely.

Hence, option (d) is correct

Ellen collected 88 empty cans to recycle,and Carl collected 72 cans. They packed an equal number of cans into each of two boxes to the recycling center

Answers

ellen had 44 per box and carl had 36 per box

but if they had only two boxes altogether then each box had 80 cans in it

Solve for r.

12-1/5r=2r+1

Answers

Answer:

r = 5

Step-by-step explanation:

I hope this helps djndjdnnznz

Gabriel earned $238.40 at His job when he word for 16 hours what was his hourly wage in dollars per hour?

Answers

Answer:

$14.9

Step-by-step explanation:

238.40 / 16 = $14.9 hourly

Answer:

Gabriel earns $14.90 per hour

Step-by-step explanation:

238.4 divided by 16 gives you 14.9

Hope this helps

I need help with mathematics and I have to ask a couple questions about it​

Answers

so please ask question

Answer:

Sure. What are the questions?

what is the coordinates of the point where y-4x=1 crosses the y-axis​

Answers

Answer:

(0, 1)

Step-by-step explanation:

you have to put the equation in the slope point form

y=mx+b and here b is the y-intercept (where it crosses the y axis)

y-4x=1 add 4x to both sides

y=4x+1 so the coordinats are (x=0, y=1)

can u pls help me with this question ​

Answers

D. because 9:45 and 12:60 because if you divide y by x it’s 5, while 3:12 and 6:24 are 4

The two parallelograms below are similar.

What is the length in inches of line PQ?

A. 38 in
B. 34 in
C. 40 in
D. 14 inch

Answers

PQ = 40 inches
The answer is C

what are 2 ratios equivalent to 2:12​

Answers

Answer:

possible answers include 1:6 and 4:24

Step-by-step explanation:

think of ratios like fractions. you can simplify a fraction by dividing each number by the same factor. 2/12 = 1/6 because you divide the top and bottom by 2. now, you need ANOTHER response. if you can divide the top and bottom you can also multiply. 2/12 now multiply 2 and 12 by 2 and you get 4/24.

Answer all of these
18% of 34
27% of 81
85% of 74
54% of 90
33% of 360
TOPIC
62% of 75
4% of 56
6% of 140
© 12% of 625
5% of 134
Finding a Percent of a
90% of 44
9% of 17
48% of 20
70% of 69
2% of 800
Some doctors recommend that no more than 30% of a
person's daily calones come from fats. Following this
recommendation. If you eat 2,400 calones in a day, what
is the maximum number that should come from fats?
When training for a fight Rocky tries to maintain a heart
rate that is 80% of his maximum heart rate, Rocky has a
resting heart rate of 60 and a maximum heart rate of
175 beats per minute. What is his training heart rate?
mbe

Answers

Answer:

18% of 34  = 6.1227% of 81  = 21.8785% of 74  = 62.954% of 90  = 48.633% of 360  = 118.862% of 75  = 46.54% of 56  = 2.246% of 140  = 8.412% of 625  = 755% of 134  = 6.790% of 44  = 39.69% of 17  = 1.5348% of 20  = 9.670% of 69  = 48.32% of 800  = 16

-------------------------------------

30% of 2400 = 720 calories

--------------------------------------

80% of 175 = 140 beats per minute

this app is bad its s lie​

Answers

IKR like I need answer and it takes so long to someone answer:”c but sometimes it helpful

please can someone help me!! :(

Answers

Answer:

G

Step-by-step explanation:

Distribute the -7 to 4x and -5

Answer:

Hey!

The answer is

-7x (4x - 5)

When you multiply them you get

[tex]-28x^{2} + 35[/tex]

So, Option G is the right answer!


Need help please I would really appreciate it

Answers

Answer:

The slope of line is 9

Step-by-step explanation:

We can use two pairs of input-output from the table to find the slope of the given line. Here x is input and y is output.

Slope is defined as the steepness of a line and is given by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Selected pairs from table are:

(-1,-18) and (0,-9)

Here

[tex]x_1 = -1\\x_2 = 0\\y_1 = -18\\y_2 = -9[/tex]

Putting the values in the formula

[tex]m = \frac{-9-(-18)}{0-(-1)}\\=\frac{-9+18}{0+1}\\= 9[/tex]

Hence,

The slope of line is 9

HOw do I complete all my homework on time? I have a BUNCH of homework

Answers

Answer:

One helpful technique I used to stay focused is to buy a pack of m&ms or mini  candies and every time I complete a problem I eat one candy or m&m. Also, try making a goal for yourself for example "my goal is to complete 100 problems in an hour"

Step-by-step explanation:

I hope this helps

message me with any more questions u have

Help please stat! Brainlist!

Answers

Answer:  11.71 meters per second.

PLZ CORRECT ME IF I AM WRONG thxs and have a lovely day :)

Step-by-step explanation:

I NEED HELP ASAP PLS

Answers

Answer:

2/3

Step-by-step explanation:

to move from one point to another (from left to right) you move up two and to the right 3

Answer:

The slope is 2/3

Step-by-step explanation:

The line goes up 2 points and to the right 3 points so if you do rise/run you get 2/3 as the slope.

Which number line best represents the solutions to 7 < -2x + 3?

Answers

Answer:

B or D

Step-by-step explanation:

I need help please!:D

Answers

Answer:

176 R. 5

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

176r5 first

How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths

Answers

C. INTO SIXTHS

I LITRALLY JUST TOOK THE TEST ON EDGE. SO YOU CAN TAKE MY WORD FOR IT

I HOPE I WASNT TOO LATE. IF I WAS, SORRY

The number of grids or intervals on the given number line between any two consecutive whole numbers is six thus option (C) is correct.

What is a number line?

In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

As per the given number line,

Since 1 is a whole number and 2 is also a whole number.

The number of intervals between 1 and 2 is 6.

Thus, between consecutive whole numbers divided on the number line is 6.

Hence "The number of grids or intervals on the given number line between any two consecutive whole numbers is six".

To learn more about the number line,

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A light tower is going to be installed on the left edge of the Skywalk as indicated in the diagram above. The light will shine down to the opposite edge of the Skywalk indicated with the star in the diagram above. How tall does the light tower need to be if the angle of depression is 51°?

Answers

The diagram indicating the light tower is below.

Answer: Tower has to be 86.45 ft high.

Step-by-step explanation: The second attachment shows the right triangle formed by the tower, the floor and the point the light will shine.

Using trigonometric relations among the angle and the sides of the triangle we will have:

[tex]tan(51)=\frac{h}{70}[/tex]

h = 70*tan(51)

h = 86.45

The tower has to be 86.45 ft tall for the angle of depression to be 51°

I need help.........​

Answers

Answer:

number 1

Step-by-step explanation:

The answer is number 1

HELPPPPPP MEEEE!! A deep-sea diver found an amazing reef 15 kilometers below sea level. What integer would represent this situation

Answers

Answer:

-15

Step-by-step explanation:

Sea-level can be seen as 0 on a number line. The Diver is going below the sea-level, so think of this as him going below the number zero, into the negatives. He is going down 15km, so -15km would represent the integer (whole number) that you're looking for.

In how many zeros does 75! end?

Answers

They have 18 zeros this is not

What is the true answer?

Answers

Answer:

What is that stuff

Step-by-step explanation:

It is C i think?

Answer:

first and last one

Step-by-step explanation:

Prove that: 6^7-6^6+6^5 is divisible by 31
15 points!!!

Answers

Step-by-step explanation:

[tex]6^7-6^6+6^5=6^{5+2}-6^{5+1}+6^5\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=6^5\cdot6^2-6^5\cdot6^1+6^5\\\\\text{use the distributive property}\ a(b+c)=ab+ac\\\\=6^5\cdot(6^2-6^1+1)=6^5\cdot(36-6+1)=6^5\cdot31\\\\6^7-6^6+6^5=6^5\cdot31[/tex]

therefore it's divisible by 31

[tex](6^7-6^6+6^5):31=(6^5\cdot31):31=6^5[/tex]

[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.

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,

[tex]6^7 - 6^6 + 6^5[/tex] s

Taking common factors.

[tex]6^5[/tex] (6² - 6 + 1)

[tex]6^5[/tex] (36 - 6 + 1)

[tex]6^5[/tex] x 31

This is divisible by 31.

Thus,

[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.

Learn more about expressions here:

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