Samuel has been reviewing his notes on functions in preparation for the next test. He thinks it’s possible in a function for the amount of domain values to be greater than the amount of range values. Is Samuel correct? Explain why or why not.

Answers

Answer 1

Answer:

He is incorrect.

Step-by-step explanation:

The range values cannot be greater than the domain values because of the known mathematical fact that all inputs (domain) can only have one output (range). This mathematical fact proves that the range can only be equal to the amount of inputs, not greater. To show why let's look at an example.

Ex:

Inputs:     Outputs:

   1                   2

   3                  2

   6                  2

Using that example we can already conclude that the domain values can be greater than the range values because each of the different inputs can have the same outputs as shown in the table above. But the thing with range is you can't have more than one output for the inputs. For example 1 (input) = 2 output and this will always equal 2 no matter what. You cannot have the inputs of 1 and have different outputs 2 and 4. Since you cannot have more than one output for an input it makes the amount of range values impossible to be greater than the domain values.

Hope that helped.


Related Questions

80 + ? + -30 = 0 whats in the middle

Answers

Answer: The answer is -50

because 80 + -50 = 30 and 30 + -30= 0              .

The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest penny.

Answers

Answer:

537.64

Step-by-step explanation:

8 cans of corn cost $16. What is the cost per can?

Answers

Answer:

2$

Step-by-step explanation:

If you buy 8 cans of corn and it cost you 16 dollars for all of the cans Then you can divide

Divide 16 by 8

16 divided by 8 =2

The cost of each can of corn is 2 dollars

Ans. 2

Step-by-step explanation:

Use directly proportional

X1/Y1=X2/Y2

8/16=1/X

and then solve for x

What equation is a proportion?

A. 1/3 = 1/4
B. 3/4 = 6/9
C. 5/8= 20/32
D 7/9 = 21/28

Answers

Answer:

c. 5/8= 20/32

Step-by-step explanation:

because 5*4=20 and 8*4=32

5x10^5+2x10^4+8x10^2

Answers

Answer:

52800

Step-by-step explanation:

Answer:

520800

Step-by-step explanation:

ive done this on.

Five less than twice the value of a number is equal to three times the quantity of four more than one-half the number. What is the number?

Answers

Answer:

2x - 5 = (1/2)

 

4x - 10           [multiply by 2]

 x - 10 = -13                 [subtract 3x from both sides]

  x = -3                        [add 10 to both sides]

Step-by-step explanation:

The required number would be 34 which is determined by the phrase "five less than twice the value of a number is equal to three times the quantity of four more than one-half the number"

What is algebra?

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

When broken down, these sorts of statements are not intimidating. First, consider "five less than twice the value of a number."

"Twice the value of a number" is simply 2x.

"Five less" is simply -5, so for the first part we have (2x-5)

Examine the second section next. "Three times four times more than one half the number."

"Three times the quantity" simply indicates "three times something."

4 + "one half the number" or 4 + (1/2)x is "the quantity of four more than one half the number."

So the second part is simply 3(4+x/2).

Finally, we complete the equation, (2x-5) = 3(4+x/2) and solve for x.

2x-5 = 12 + (3/2)x

2x-(3/2)x = 17

x/2 = 17

x = 34

Therefore, the required number would be 34.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Explain how you know when 2 ratios are proportional.​

Answers

Answer:

Ratios are proportional when they represent the same relationship.

Step-by-step explanation:

Such as: finding equivalent fractions

Answer:

Ratios are proportional if they represent the same relationship.

Step-by-step explanation

One good way to tell is to make them fractions and then reduce them. If the reduced fractions are the same, you ratio is proportional! Good luck !

A gym membership charges a one-time application fee of $15, plus $32 each month. Which of the following equations could represent the total cost, y, for x number of months?

A.y = 32x + 15
B.y = 15x + 32
C.y = 47x
D.15y = 32x

Answers

Answer:

The answer is A. y =32x + 15

Step-by-step explanation:

The reason behind this is the rate. The amount of money each month is the slope (m). The additional fee would be the b.

Kate's math homework had a set of equations and a one-word problem. She took 3 minutes to solve each equation, then 7 minutes to solve the word problem if it took her 52 minutes total, how many equations did she solve

Answers

Answer:

15 equations

Step-by-step explanation:

Let

Number of equations in the homework = x

There is only a one-word problem

y = amount of time used to solve the word problem

She took 3 minutes to solve each equation, then 7 minutes to solve the word problem if it took her 52 minutes total,

Total = 3x + y

52 = 3x + 7

Subtract 7 from both sides

52 - 7 = 3x + 7 - 7

45 = 3x

Divide both sides by 3

x = 45 / 3

= 15

x = 15 equations

Therefore, she solved 15 equations

i need the answer pls!!!​

Answers

(3,1) is the solution. When u plug in 3 for x and 1 for y you find that this is the only pair that works

Kevin has five less than twice the number of baseball caps Steph has. If Kevin has 13 baseball caps, how many baseball caps does Steph have?

Answers

Answer:

21

Step-by-step explanation:

13x2=26-5=21 so thats how I got the answer

what two numbers add up to be 116.5

Answers

Answer:

58.25

Step-by-step explanation:

116.5 / 2

= 58.25

Hope this helps!!

58.25+58.25

Those are the two numbers that add up to that number (116.5)

Btw there are also MULTIPLE numbers that add up to 116.5, I'm just putting the one that makes the most sense.

(。ŏ﹏ŏ)

Miri

can I get help someone​

Answers

Answer:

m ≤ 4250

Step-by-step explanation:

What we know:

Mr. Loureiro has to pay $25 plus 10 cents every mile.

The equation becomes 25 + 0.1x = 450

25 + 0.1x = 450

0.1x = 450 - 25

0.1x = 425

x = 4250

So, Mr. Loureiro can travel no more than 4250 mi. (m ≤ 4250)

plsssss help im honestly brain dead

Answers

Answer:

same but like 123

Step-by-step explanation:

Answer:

the slope represents minutes per miles.

Step-by-step explanation:

the other 3 are wrong

PLEASE HURRY
In a local city, the temperature at noon is Negative 3 degrees Celsius. The temperature is expected to decrease by 2.5 degrees Celsius each hour until the temperature reaches Negative 18 degrees Celsius. How many hours will it take for the temperature to reach Negative 18 degrees Celsius? 6 hours 7 hours 7.2 hours 8.4 hours

Answers

Answer:

6 hours

Step-by-step explanation:

-3-2.5-2.5-2.5-2.5-2.5-2.5=18

srry if I took too long

Answer:

6 HOURS

Step-by-step explanation:

The correct answer would be 6 hours or A!

Hope this helps! Have a great day! :))

the shapes below are mathematically simillar ​

Answers

Answer:

6

Step-by-step explanation:

complete the solution of the equation. Find the value of y when x equals 9. 3x + 4y = 43 Enter the correct answer. ​

Answers

3(9)+4y=43
27+4y=43
4y=16
Y=4

a^5b^3/a^3 = b^11


Help

Answers

Answer:

what are you trying to solve?

you ok need to be like mmm you eabgshdhsjdjidjd

ten less than four times a number is 50
the equation is -----the solution is ------

Answers

Answer:

2.5

Step-by-step explanation:

50÷4-10

50=(4x)-10

Equation:

(4*n)=50

Solution:

(4*n)-10=50

(4*n)-10-10=50-10

(4*n)=40

4*10=40

n=40

Find the slope of the line.​

Answers

Answer:

The slop in the line is 3

Step-by-step explanation:

Answer:

-2 I think this is the answer hope it helps

Step-by-step explanation:

If the coordinates of point E are (-4, y), what is the value
of y?
O -8
O -4
O0
O8

Answers

-4 of course .........

The value of y is -8

What is slope of the line?

"The slope of tee line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]"

What is y-intercept?

"The point at which the graph intersects the Y-axis."

What is slope intercept form of the line?

"y = mx + c, where m is the slope of the line and c is the Y-intercept."

For given question,

We have been given the graph of a line.

From the graph, we can observe that the line is passing through the points (4, 4) and (-6, 0)

Using slope formula the slope of the line would be,

[tex]\Rightarrow m=\frac{4-(-6)}{4-0}\\\\\Rightarrow m=\frac{10}{4}\\\\\Rightarrow m=\frac{5}{2}[/tex]

Also, the line intersects y-axis at y = 2

This means the y-intercept is c = 2

Using the slope-intercept form of the line the equation of the line would be,

[tex]y=mx+c\\\\y=\frac{5}{2}x+2[/tex]

Point E(-4, y) lies on the given line.

So, this point satisfies the equation of the line.

[tex]\Rightarrow y=\frac{5}{2}(-4)+2\\\\ \Rightarrow y=-10+2\\\\\Rightarrow y=-8[/tex]

Therefore, the value of y is -8

Learn more about the equation of the line here:

https://brainly.com/question/21511618

#SPJ3

Isaiah bought a total of 22 pieces of candy. The tootsie rolls cost 3 cents each and
the jolly ranchers cost 5 cents each. If Isaiah spent a total of 90 cents, how many
JOLLY RANCHERS were purchased?
A) 11
B)8
C) 10
O 12
07

Answers

i think the anwser should be 12

you flip a coin twice what is the probability of getting tails then getting heads

HELP ASAP

Answers

Answer: The odds of getting tails twice in a row are 1/2 * 1/2 = 1/4. So 25% of the time you'll get heads twice in a row. But, if you've already flipped a coin 99 times, and gotten heads each time, then the odds of your next flip being heads is still just 50:50.

Step-by-step explanation:

(11y + 19) °
8x °
96 °

Answers

Answer:

lol 96

Step-by-step explanation:

I am super confused


A small aquarium holds 70% as much as a large aquarium. If the small aquarium holds 35 liters, how many liters does the large aquarium hold?

Answers

Answer:

50

Step-by-step explanation:

so in other words, 35 is 70% of something. So you can divide 35 by 0.7 to get your answer.

Answer:

24.5 litres I guess is the answer for the question

10 points
Does any one know of the game with the metal ball and you go around on a play form reaching the check points it is on the iPhone and is 3D but it is a real game, not like a ketchup game.

Answers

YOU JUST BROUGHT BACK A OLD MEMORY!!

Answer:

smash hit?

Step-by-step explanation:

Find the measure of angle abc

Answers

I think it’s B: 20 but I could be wrong. I just added it all up together

Answer:

The answer is 9!

Step-by-step explanation:

Ik this is late but for people in the future, the answer is definetly 9.

180 = 6x + 6x + 8x

Now substituting 9 in for the x values;

180 = 6(9) + 6(9) + 8(9)

180 = 54 + 54 + 72

180 = 180

BYE!

no one answers with 20 points so here’s 60 points again lol

Answers

Answer:

Was B the correct answer?

I thought it was B as well.


What are the zeros of this function? HELP

Answers

The zeros of this function is when y = 0.
(x, 0) and (x,0)
Looking on the graph
It would be (3,0) and (6,0)
The solution is x = 3, x = 6

Answer:

answer is B

Step-by-step explanation:

There were 239 people at Travis Scott concert.Admission to get the drive in concert was $15 for adults and $5.50 for children the total cost was 2759.50 how many adults attended and how many children attended

Answers

Answer: There are 152 adults and 87 children.

Step-by-step explanation:

Let x= Number of adults

y= Number of children

As per given, we have

x+y = 239                 (i)

15x+5.50y= 2758.50              (ii)

Multiply 5.50 on both sides of (i) , we get

5.50x+5.50y=1314.5             (iii)

Subtract (iii)  from (ii), we get

9.5x = 1444

⇒  x = 152

Put value of x in (i) , we get

152+y=239

⇒ y= 239-152

⇒ y= 87

Hence, there are 152 adults and 87 children.

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