What is the definition of when each input has exactly one output in a relation

Answers

Answer 1
The word you’re looking for is a *function*. Functions can’t have one input associated with more than one output, but multiple inputs *can* produce the same output (so-called “even functions” have this property), and the special functions where each output has exactly one input associated with it are called “one-to-one” functions.

Related Questions

Can anyone plain how to do this?

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it is c becase my anme is c

what did the baseball mitt say to the ball

Answers

Why broooo just whhhhy

Determine the better buy by comparing unit rates.
1. 20 pens for $1.60 or 25 pens for $2.25
2. 13 berries for $2.60 or 17 berries for $3.06

Answers

To find the better buy we have to find the cost per pen for each.

1. 20 pens for $1.60 -> 1.60/20 = .08 cents per pen.
25 pens for $2.25 -> 2.25/25 = .09 cents per pen.

The best buy is 20 pens for $1.60 because it's cheaper per pen. 

2. 13 berries for $2.60 -> 2.60/13 = .20 cents per berry
17 berries for $3.06 -> 3.06/17 = .18 cents per berry

The best buy is 17 berries for $3.06 because it's cheaper per berry.
1. 20 pens for $1.60
2. 17 berries for $3.06


The shelf is made of 3 pieces of wood, each 0.3 meter wide. There is also 0.05 meter of space between the shelf and the wall on each side. What is the width, in meters, of the closet?

A. 0.4
B. 0.8
C. 1
D. 1.9

Answers

The correct answer is: C: 1 meter. The closet width is 1 meter, including the contribution from the three pieces of wood and the spaces on each side.

To determine the width of the closet, we need to add up the widths of the three pieces of wood and the spaces on each side.

Given:

- Width of each piece of wood: 0.3 meters

- Number of pieces of wood: 3

- Space on each side between the shelf and the wall: 0.05 meters

Now, calculate the total width:

[tex]\[ \text{Total Width} = (\text{Width of one piece of wood} \times \text{Number of pieces of wood}) + (\text{Space on one side} \times 2) \][/tex]

[tex]\[ \text{Total Width} = (0.3 \times 3) + (0.05 \times 2) \][/tex]

[tex]\[ \text{Total Width} = 0.9 + 0.1 \][/tex]

[tex]\[ \text{Total Width} = 1 \, \text{meter} \][/tex]

The width of the closet is 1 meter, considering the combined width of the three pieces of wood and the spaces on each side.

Therefore, the correct answer is: C: 1 meter. The closet width is 1 meter, including the contribution from the three pieces of wood and the spaces on each side.

list the independent and dependent variables for each situation:
(a) my height depends on my age.
(b) the amount of sleep I get determines what mood I am in.
(c) the amount of water in a bathtub is a function of the amount of time the water has been running.
(d) my distance from home varies with my speed.
(e) the amount of homework I do affects my average speed.
(f) the amount of homework I do depends on how much is assigned.

Answers

Part (a)

Independent variable = age
Dependent variable = height

"depends on age" indicates that age is independent. 

-----------------------------------
Part (b)

Independent variable = amount of sleep
Dependent variable = mood

The key word is "determines". The stuff before this word is the independent variable which affects the dependent variable.
-----------------------------------
Part (c)

Independent variable = time water has been running
dependent variable = amount of water in the tub

Time is usually the independent variable
-----------------------------------
Part (d)

Independent variable = speed
dependent variable = distance from home

-----------------------------------
Part (e)

Independent variable = amount of homework done
dependent variable = speed

This seems like an odd pairing of homework and speed. Could there be a typo? I noticed that part (f) is very similar

-----------------------------------
Part (f)

Independent variable = amount of hw that is assigned
dependent variable = amount of homework done

Like with part (a), the stuff before "depends" is the dependent variable

Given f(x)=4x^2-3x+1 and g(x)=2x-5 , find f(x)+g(x) .

A.) 4x^2-5x+6

B.) 4x^2-x+6

C.) 4x^2-5x-4

D.) 4x^2-x-4

Answers

[tex]f(x)=4x^2-3x+1\\\\g(x)=2x-5\\\\f(x)+g(x)=(4x^2-3x+1)+(2x-5)=4x^2+(-3x+2x)+(1-5)=4x^2-x-4[/tex]

Answer: D.

what is 3/4× 4/5÷1/4÷1/2

Answers

The answer is 4.8, or 4 4/5.

which quadrant is the point (5.2,-1.7) Located?

IV
II
III
I

Answers

It will be in the bottom right quadrant which is quadrant IV

the line has the same slope as 3x-y=5 and the same y-intercept as the graph of 4y-7x=16
what is the equation in standard form?

Answers

Well standard form is Ax+By=C, so just move the -7x to the front so -7x+47=16

I am a fraction equivalent to 2/5. My numerator is 21 less than my denominator. What fraction am I?

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14/35 or 2/5 is your answer hope I helped

73 is 20% of what number

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1460 bc U multiply and add the zero
365 because to solve the problem, you can create a proportion. 20/100x = 73. After solving the proportion, you should get x=365.

write a related subtraction fact for 7+3=10

Answers

10-7=3 or 10-3=7
These are the answers
Hello There!

One could be:
10 - 3 = 7
Or it could be:
10 - 7 = 3.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

-3(y-5)=24 What is y ?

Answers

Distribute into the parenthesis and you get: -3y+15=24. Now, subtract 15 on both sides and you will get: -3y = 9. Finally, divide -3 on both sides and you will get the final answer: y = -3. You can check your answer by substituting -3 into the original equation: -3(-3-5) = 24. 9 + 15 = 24. 24 = 24
 -3(y - 5) = 24             Use the Distributive Property.
 -3y + 15 = 24            Subtract 15 from both sides of equation.
 -3y = 9                       Divide -3 from both sides of the equation.
 y = -3                         This is your final answer.

A student has a daily reading productivity levels of 1 chapter while at a computer lab, 5 chapters while at a coffee shop, and 7 chapters while at the library. If 1/7 of the day is spent at a computer lab, 5/14 at a coffee shop, and 1/2 at a library, what is the total daily reading productivity level of the students?

Answers

1/7 + 5/14 +1/2
= 2/14 + 5/14 + 7/14
=14/14
=1

The total daily reading productivity level of the students is 1 .

It is required to find the total daily reading productivity level of the students.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

GIven:

computer lab= 1 chapter

coffee shop=5 chapters

library shop=7 chapters

According to given question we have,

1/7 + 5/14 +1/2

= 2/14 + 5/14 + 7/14

=14/14

=1

Therefore, the total daily reading productivity level of the students is 1 .

Learn more details about arithmetic here:

https://brainly.com/question/11559160

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-4(3x-1)=12-8x and plz show how you got it

Answers

step 1:  -4(3x-1) becomes -12x+4
step 2: -12x+4=12-8x
step 3: add 12x to both sides, 4=12+4x
step 4: subtract twelve from both sides -8=4x
step 5: divide by 4, x=-2
-12x + 4 = 12 - 8x
8x. 8x

-4x + 4 = 12
-4. -4

-4x = 8

x = -2 is the answer

Which table shows a proportional relationship between x and y? x 1 5 8 10 y 15 75 120 150 x 4 6 8 10 y 6 8 10 12 x 3 9 10 15 y 1 3 4 5 x 2 3 5 6 y 3 4 7 9

Answers

I'm pretty sure that the answer is the first one.
The answer is the first one

Doug’s family buys 7 postcards while on vacation. Each postcard costs 0.25$ including tax. How can Doug use place value patterns to check his answer.

Answers

by multiplying 0.25 by 7 because he got 7 postcards

help me please and thanks

Answers

The awnser is C 
15÷5 = 3 


Each friend gets 3 

Suppose both employees work the same amount of time determine which employee earns more money

Answers

employee B get more money since on the line graph, line B is above A, making it a greater quantity
B their pay is more and it's shown on the graph

Which ordered pairs are a solution are a solution to the equation?

y = 8x

Select all that apply

a) (3, -24)

b) (2,16)

c) (1,8)

d) ( -16,-2)

e) (-3,-24)

Answers

this is just a matter of subbing ur answer choices into the equation to see which ones make the equation true

y = 8x

solutions are : (2,16), (1,8), (-3,-24)


You need to substitute the y and x for all the values

a) -24 = 8*3 NOT TRUE
b) 16 = 8*2 TRUE
c) 8 = 8*1 TRUE
d) -16 = 8*-2 TRUE
e) -24 = 8*-3 TRUE

OF bisects EOF. EOF=y+30 and FOG=3y-50. solve for y.

Answers


It always helps to draw a picture. Given the information, Segment OF is the center line that is bisecting this angle.

Since it's bisecting (cutting in half)... we can simply set the two angles equal to each other.

y+30=3y-50
-2y+30=-50
-2y=-80
y = 40

C)40.
Final answer:

Setting the given equations equal to each other, we can solve for y and determine that y equals 40.

Explanation:

The question states that OF bisects EOF, which means that EOF and FOG are equal. Hence, you can set the two equations equal to each other to solve for y.

EOF = y + 30FOG = 3y - 50

Set EOF equal to FOG:

y + 30 = 3y - 50

To solve for y, first simplify the equation by subtracting y from both sides:

30 = 2y - 50

Then add 50 to both sides to isolate the y variable on one side:

80 = 2y

Finally, divide both sides by 2 to solve for y:

y = 40

Learn more about Equation Solving here:

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10 people want to share 84 pounds of candy so that each person gets the same amount. Exactly how many pounds of candy should each person get?

Answers

8.4 pounds each is what they should do

I think it’s 8.4 pounds

Marcus sorts his 85 baseballs cards into stacks of 9 cards each. How many stacks of 9 cards Marcus make

Answers

Hello!

To get your answer, you must divide:

85/9 = 9.4

So, Marcus made 9.4 stacks of cards.

I really hope you found this helpful! :)

Marcus can make 9 full stacks.

To determine how many stacks Marcus can make, we need to perform a division of the total number of baseball cards by the number of cards per stack.

Total number of baseball cards: 85.

85 ÷ 9.

= 9 (with a remainder of 4.)

This means Marcus can make 9 full stacks of 9 cards each with 4 cards left over.

In four days, your family drive 5/7 of a trip. Your rate of travel is consistent throughout the trip. the total trip is 1250 miles. In how many days will you reach your destination?

Answers

(5/7)/4= 5/28 of the trip
1/(5/28) = 5.6 days total
Since we already traveled for 4 days, we have 1.6 more days to go.

A submersible vessel at an elevation of -95 feet descends to 5 times that elevation. What is the vessel's new elevation?

Answers

-475
you multiply -95 by 5

Answer:

aaa

Step-by-step explanation:

what is the equation of the line graph

Answers

Slope is 3 and y-axis intercept is at -2, so formula is y=3x-2

answer B

plot -1 1/3 on a number line

Answers

On the line plot 11/3 is the eleventh one. 

 0___1____2___3___4___5___6___7___8___9___10_____11_
3        3       3      3      3      3      3      3      3      3        3            3

Hoped this helped!! If you have any questions let me know!!! I am here to help. 

Step 1. Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Step 2. Write the inequality and show all work to solve the inequality.
Step 3. Graph the solution to your inequality on a number line.
Step 4. Explain what your solution means in the context of the problem.

Answers

1 -A company has 10 acres of land for their company headquarters. They want to increase their headquarters to at least 56 acres of land. How many acres can the company purchase.

2-         10 acres + X ≥ 56 acres

           -10                   -10

         ----------------------------
              0                    46

                      X = 46

 


3-    ß---|--------------------------------------------------------------à

              46

4- 46 is the amount of acres the company needs to buy in order to get at least 56 acres added

The graph shows the number of jam jars filled by two different machines over several minutes. A graph measuring number of jars and time. Two lines, labeled Machine A and Machine B, exit the origin to show that distance increases as time increases The equation y = 3x represents the number of jars, y, Machine A fills in x min. Which equation could represent the number of jars filled by Machine B?

y = 1.5x

y = 3x

y = 6x

y = 8x

Answers

You answer is A y=1.5x
Hope this helps :)

Miguel traveled 340 miles during a 9 hour road trip. What was his average speed during the trip (Round to the nearest tenth)?

Answers

average speed during the trip = 340 / 9 = 37.8
hope it helps
340/9= 37.7777778
Rounded to the nearest tenth: 37.8 mph was his average speed.

I hope this helps!
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