Mathematics College

From the given functions from Z x Z to Z, identify the onto functions. (Check all that apply.) Check All That Apply
a. f(m, n) = 2m-n b. f(m, n) = m 2-n2 c. f(m, n) m + n+1 d f(m, n) = |m|-|n|

Answers

Answer 1

The onto functions (surjective functions) are:

c. f(m, n) = m + n + 1.

At first we have to identify onto (surjective) functions from Z x Z to Z, we need to check if each element in the codomain (Z) has at least one preimage in the domain (Z x Z).

a. f(m, n) = 2m - n

This function is not onto because for odd numbers in the codomain (Z), there is no pair of integers (m, n) in the domain that will map to them.

b. [tex]f(m, n) = m^2 - n^2[/tex]

This function is not onto because for negative numbers in the codomain (Z), there is no pair of integers (m, n) in the domain that will map to them.

c. f(m, n) = m + n + 1

This function is onto. For any integer 'z' in the codomain (Z), we can find a pair of integers (m, n) in the domain such that m + n + 1 = z.

For example, if z = 0, we can choose m = 0 and n = -1, and then m + n + 1 = 0.

d. f(m, n) = |m| - |n|

This function is not onto because negative numbers in the codomain (Z) cannot be obtained from the domain (Z x Z).

For example, there is no pair of integers (m, n) in the domain that maps to -1.

Hence, The onto functions (surjective functions) are:

c. f(m, n) = m + n + 1.

To learn more on function click:

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Related Questions

arianna read a total of 24 books in 6 weeks. How many books will she read in 36 weeks at the same rate?

Answers

Answer:

216

Step-by-step explanation:

if she reads 24 books in 6 weeks

you do 36x6

which is 216

Please help I’m begging someone p,ease help I can’t do this anymore help

Answers

Answer:

-5.99

-3

-6

-5.9

-1

-5.999

-5

2

Step-by-step explanation:

All these numbers are greater (or equal to) -6 because they are closer to 0

15. 12 kg çilekten 6 kg reçel
yapılıyor.
22 kg reçel yapmak
için kaç kg çileğe ihti-
yaç olur?​

Answers

Answer:

12kg

Step-by-step explanation:

because 2×2×2+4=12

jskgx

will be the new 30 is a 50 horizontal percent scale factor decreases and 75% vertical scale factor increases or applied to the rank rectangle above

Answers

Answer:

788888

Step-by-step explanation:

х 9 17 25 33 -6 -24 -96 -384 Is the relationship linear , exponential , or neither?

Answers

Answer:

exponential!!! That is the answer if this is for Khan Academy!!

What is the percent of increase from 25 to 26?

Answers

Answer:

4 percent

Step-by-step explanation:

because the new value is greater than the old value

The Answer is  4 percent

Solve for z.
-30 = 5(x+1)

Answers

-30= 5 (x+1 )

-5 from 5= 0
-5 from -30= -35

-35= (x+1)

1/-35= -35

what is the Multiplicative of -12​

Answers

multiplicative would be ;

-12 ------> 1/-12

P(A and B)
Hint:
Find P (Senior Boy)
P(B)
Classroom of Students
Boys Girls
Freshman 4
4 8
Sophomore 5 7 12
[?]
Junior 2 3 5
Senior 1
4 5
12 18
Please help :(

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Number of boys = 12

Number of girls = 18

Total number of students = 12 + 18 = 30

Probability refers to chances of occurrence of any event.

Probability = Number of favorable outcomes ÷ Total number of possible outcomes

To find P(Senior | Boy), use [tex]P(A|B)=\frac{P(A\,\,and\,\,B)}{P(B)}[/tex]

P(Senior and Boy) = [tex]\frac{1}{30}[/tex]

P(Boy) = [tex]\frac{12}{30}[/tex]

So,

P(Senior | Boy) = P(Senior and Boy) ÷ P(Boy) = [tex]\frac{\frac{1}{30} }{\frac{12}{30} } =\frac{1}{12}[/tex]

Answer:

1/12

Step-by-step explanation:

(–8x + 7y) + 9y + (–8x)

Answers

The answer is -16x+16y
The answer is -16x + 16y

Solve the exponential equation for x.

Answers

Answer:

c. x=-2

Step-by-step explanation:

256=(1/4)^(3x+2)

㏒(1/4) (256)=3x+2

-4=3x+2

3x=-6

x=-2

What is the unit rate of the equation below? y = 2x + 8

Answers

I don’t know how to find unit rate I don’t even know what it means

Please help will give brainliest.

Answers

Answer:

13 petunias

Step-by-step explanation:

13x7=91

9x8=72

add them and you get 163

which statement best describes the roots of f(x)=x^2-6x+25?

Answers

Answer:

permiteme veré en álgebra baldor

The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.

What are the roots of the equation?

Let the equation be ax² + bx + c = 0. Then the roots of the equation will be

[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]

The quadratic equation is given below.

f(x) = x² - 6x + 25

Compare both the equations, then the value of a, b, and c will be 1, -6, and 25, respectively.

Then the roots of the equation are given as,

[tex]\rm x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4 \times 1 \times 25 }}{2 \times 1}\\x = \dfrac{6 \pm \sqrt{-64}}{2}[/tex]

Simplify the equation further, then we have

x = 3 ± 4i

The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.

More about the roots of the equation link is given below.

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Solve the inequality 5 - 4x > -x+8​

Answers

The answer is,

[tex]x < - 1[/tex]

PLEASE ANSWER THIS QUESTION RIGHT.What piece of information does c identify in the following equation?
y=ax2+bx+c

Answers

i think y -interceptplease talk me my answer is correct or not

Find the value of the variable. A
610
790

Answers

Answer: Allie made a 240- mile trip in just 4 hours.

Step-by-step explanation:

Q1. Butternut is a ski resort in Massachusetts. One of their triple chair lifts unloads 576 skiers per hour at the top of the slope. (A triple chair lift can carry three passengers per chair.) If 108 skiers are riding on the lift at any one time, how long does the ride from the bottom to the top take

Answers

Answer:

11.25minutes

Step-by-step explanation:

From the question we are told that lifts unloads 576 skiers per hour at the top of the slope, this is expressed as;

576skiers = 1hr

To determine the time it will take 108skier, we can write

108skier = x

Divide both expressions

576/108 = 1/x

576x =108

x = 108/576

x = 0.1875hr

Convert to minute

x = 0.1875×60

x = 11.25minutes

Hence it took the ride 11.25minutes

I NEED THE ANSWER ASAPPP!!! help please

Answers

Answer:

Step-by-step explanation:

x^2 + 8^2 = 9^2

x^2 + 64 = 81

x^2 = 17

x = sqrt(17)

answer is D

4 - 2/8 =
what is 4 minus a fraction of 2/8 equal to?

Answers

Answer:

= 15/4

Step-by-step explanation:

4=32/8 so 32/8-2/8=30/8. 30/8 -> 15/4 or 3.75

I can’t understand the graph

Answers

Focus with the teacher

find the missing angles for #4

Answers

1= 88°

2= 42°

3= 113°

hope that helps^^

Calculate the monthly share of annual expenses and find the total monthly expenses.

Annual Expenses: $3,494.04

Living: $475.75

Fixed: $679.65

Monthly share of Annual:

Total Monthly Expenses:

Answers

Answer:

918,14

Step-by-step explanation:

3,494.04

679.65

= 918,14

What will the area be?


Include the appropriate unit in your answer.

Answers

Answer:

Step-by-step explanation:

area of triangle = ½(base)(height)

= ½(25 m)(12 m)

= 150 m²

Divide.
24,350 + 50 =
O A. 478
OB. 487
O C. 527
O D. 587


PLS HURRY IM SUPER CONFUSED

Answers

Answer: 487, B.

Step-by-step explanation:

24350 ÷ 50 = 487.

Divide :)

The answer is 487, or B.

When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 75 days by 11 workers. How many days would it take to build a similar house with 33 workers?

Answers

Answer:

25 days

Step-by-step explanation:

11 workers in 75 days

so 33 workers do it in 25 days

MARK ME AS BRAINLIST

please help it’s urgent!!

Answers

Answer:

Perimeter= a1+a2+a3

P= 20+ 15+ 25= 60 units

Six more than the quotient of a number squared and eleven

Answers

Answer:

Step-by-step explanation:

[tex]\frac{n^2}{11}+6[/tex]

I need help answering this please

Answers

Answer:

DF = 20.4

Step-by-step explanation:

The figure given is a kite.

A kite has two set of opposite sides that are congruent. And the diagonals bisect each other. Thus,

∆DEH is congruent to ∆FEH, therefore, DH = HF

Use pythagorean theorem to find DH:

DH² = DE² - EH²

DH² = 15² - 11²

DH² = 104

DH = √104

DH = 10.2 (nearest tenth)

DF = 2(DH)

DF = 2(10.2)

DF = 20.4

What is the slope of the following equation of a line? 2x + 3y = 12

Answers

Answer:

m = -2/3

Step-by-step explanation:

2x + 3y = 12

-2x. -2x

3y = -2x + 12

÷3. ÷3. ÷3

y = -2/3x + 4

m = -2/3

There’s an easy rule for this form !
if you ever see this form : ax+by=c
and it asks about the slope, then you can use this rule : slope= -a/b

and if it asks about the y-intercept, you can use this rule : y-intercept= c/b

so to get the slope of your question, all you have to do is : slope = -2/3

I hope this helped !
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