The table shows the number of gallons of gas used and the number of miles driven. Gallons of Gas Used 12 15 18 12 14 16 Miles Driven 300 400 450 350 400 450 Is the resulting data set a function? Explain your reasoning. A The table is a function. The function can have more than one input value paired with the same output value. B The table is a function. The function can have more than one output value paired with the same input value. C The table is not a function. The function cannot have different input values paired with the same output value. D The table is not a function. The function cannot have the same input value paired with different output values.

Answers

Answer 1

There is one input being mapped into two different outputs, so this is not a function. The correct option is D.

What is a function?

A function is a relation that maps elements from one set (the domain) into elements from another set (the range). Such that each element from the domain can be mapped into only one element from the range.

In this case, the table is:

Gallons of Gas Used: 12 15 18 12 14 16Miles Driven: 300 400 450 350 400 450

So, the input "12" appears twice, the first time is mapped into 300 miles, and the second time is mapped into 350.

So the same value from the domain is being mapped into two different values of the range, meaning that this is not a function. So the correct option is D.

If you want to learn more about functions, you can read:

https://brainly.com/question/13136492


Related Questions

what is 23/100 plus 7/10​

Answers

Answer:

93/100

Step-by-step explanation:

You have to make the denominator the same so

7x10=70 and 10x10=100. Then you add 23+70 which is 93 so the answer is 93/100

There are 250 students in the 6th grade. 45 percent of the students eat lunch 4th period. How many students eat lunch 4th period?

Answers

Answer

About 112 students eat lunch 4th period

Step-by-step explanation:

250*.45 = 113

112.5 rounded is 112 because there can not be any half students

114 Students.

There are 114 students.

PLEASE HELP!!

Find the equation of the axis of symmetry of the parabola. Each box in the grid represents 1 unit.


Enter the answer as an equation.

Answers

Answer:

The axis of symmetry of this parabola will be the line x=−b2a .

Step-by-step explanation:

Graph the parabola y=x2−7x+2 .

Compare the equation with y=ax2+bx+c to find the values of a , b , and c .

Here, a=1,b=−7 and c=2 .

Use the values of the coefficients to write the equation of axis of symmetry .

The graph of a quadratic equation in the form   y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .

Substitute x=72 in the equation to find the y -coordinate of the vertex.

y=(72)2−7(72)+2    =494−492+2    =49 − 98 + 84     =−414

Therefore, the coordinates of the vertex are (72,−414) .

Answer:

2

Step-by-step explanation:

If x^2+y^2=0, what is the value of 2x-7y?

Answers

Answer:

Answer will be zero , since the value of x and y are zero and any value multiply with zero will be zero only .

(System of inequality word problem.)

Frankie is saving his money to buy the new Nintendo Switch. The switch is on sale for $300. He already has $215 saved up and his mother tells him she will pay him $7 for each extra chore he completes around the house. What is the minimum number of chores he must complete to have enough money for the Switch?

A. 12 chores
B. 14 chores
C. 13 chores
D. 11 chores

Answers

Answer:

C

Step-by-step explanation:

Because nintendo price=300$

He has 215$

1 chore he does=7$

Meaning if he did 10 chores he get's 70$ added so he did 10 now he has 285$ If he does 2 more chores that is 14$ more added.

So he now has 299$ so he done 12 chores and he needs 1 more dollar so if he did 1 more he gets 306$ and that was the least amount of chores he could do if he wanted 300$

And there's your answer

Hope this helps have a awesome day:)

Construct the truth table for:

p → (q ∧ r)

The choices below represent the final column for the truth table. Identify the correct answer.

Answers

You should know that

p ⇒ q ≡ ¬p ∨ q

so that

p ⇒ (q ∧ r) ≡ ¬p ∨ (q ∧ r)

Then making the truth table is simple:

[tex]\begin{array}{cccccc} p & q & r & \neg p & q \land r & p \implies (q\land r) \\ T & T & T & F & T & T \\ T & T & F & F & F & F \\ T & F & T & F & F & F \\ T & F & F & F & F & F \\ F & T & T & T &  T & T \\ F & T & F & T & F &  T \\ F & F & T & T & F & T \\ F & F & F & T & F & T \end{array}[/tex]


You have 3 red, 4 blue and 5 yellow marbles. What is the probability of not picking blue?

Answers

Answer:  2/3

This is because there are 3 red + 5 yellow = 8 non-blue marbles out of 3+4+5 = 12 total. This leads to the fraction 8/12 and it reduces to 2/3.

Answer:

cause it's blue  it might make u sad

Step-by-step explanation:

Jane has a pile of 6 books. Together, the books weigh 4 pounds. If the books aresimilar in weight, about how much does each book weigh?

Answers

Answer:

this is just division

6/4=1/2

each book weighs 1/2

Hope This Helps!!!

Answer:

the answer is 1.5 pounds

Step-by-step explanation:

just took the the test

Marie has $60,000 in a savings account that earns 7% interest per year. How much will she have in 4 months?

Answers

Answer:

21,400

Solving steps:

Since, Marie has $60,000 in a savings account that earns 7% interest per year.

Find: How much will she have in 4 months.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: solution[/tex]

Step 1: Find the money for the 7% rate

=> [tex] 60000 \times \frac{7}{100} [/tex]

=> [tex] \frac{60000}{1} \times \frac{7}{100} [/tex]

cancel the two zeros of 60,000 and 100

=> 600 × 7

=> 4,200

Add 4,200 to 60,000

=> 64,200

per year = 64,200

Now, divide 64,200 by 12

since 12 months to make one year

=> 64,200 ÷ 12

=> 5,350

now multiply it by 4 months she gets 5350 per month

=> 21,400

Which answers describe the shape below? Check all that apply. A. Rectangle B. Quadrilateral I c. Parallelogram D. Square E. Trapezoid F. Rhombus​

Answers

E trapezoid it can’t be a parallelogram because one set of side will eventually touch so it is B and E

URGENT!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

aₙ = a₁ * 2ⁿ⁺¹

Step-by-step explanation:

a₁ = 6

a₂ = 12

a₃ = 24

Note a₂/a₁ = 2 = a₃/a₂

So it is a geometric sequence with common ratio of 2

a₂ = a₁ * 2 = a₁ * 2¹ = a₁ * 2²⁺¹

a₃ = a₂ * 2 = a₁ * 2 * 2 = a₁ * 2² = a₁ * 2³⁺¹

Then

aₙ = a₁ * 2ⁿ⁺¹

PLEASE HELP ME

IF GIVE ME REASON HOW YOU GOT THE ANSWER I WILL MARK BRAINLIEST!

Answers

Answer:  52

Explanation:

The key thing to focus on is the phrasing "starting at the age of 8"

Specifically, your teacher wants the starting height when Mia was 8 years old. That height being 52 inches.

The 7 inches refers to how much she had grown over the 2 years, which is part of the rate of change (and will be part of the slope).

Side note: 52 inches = 4 ft, 4 inches

I WILL GIVE BRAINLIEST Francis is buying a new coffee table that is 45% off. The original price of the coffee table was $166. Which option gives the best estimate for the price after the discount?
A.$120
B.$85
C.$70

Answers

Answer:

the answer is A

Step-by-step explanation: it is A because 45 percent of $166 is $47.7 and if you subtract it from 166 it turns out to be $118.3

1. What is the area of this shape?

Answers

Answer: 80cm

Step-by-step explanation:

i know

Answer:

80cm

Step-by-step explanation:

it may be right ......

Please help! My friend is doing missing assignments <3

Answers

Answer:

4 1/4 in.

Step-by-step explanation:

Highest record: 24 ft. 6 3/4 in.

John's best long jump: 24 ft. 2 1/2 in.

convert 1/2 to have denominator of 4...

1/2 x 2/2=2/4

subtract from highest record...

3/4-2/4=1/4

add to whole numbers...

6-2=4

4+1/4= 4 1/4

6. Find the value of each missing variable.

Answers

Answer:

x = 110

y = 102

z = 82

Step-by-step explanation:

Angles that create a line are equal to 180

x + 70 = 180

x = 110

y + 78 = 180

y = 102

A quadrilateral's angles add up to 360

110 + 78 + 90 + z = 360

278 + z = 360

z = 82

a. The number 6 is 7 units away from 13 on a number line.
Which other integer is 7 units away from 6 on a
number line?

B.which integers are 10 units away from 5 on a number line?

C.Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?

Please answer thiss, thank you guys so much!!!!!!! :)

Answers

Answer:

a. -1

Subtracting 6-7 would give you -1. Negative 1 is 7 units from the number 6.

b. -5 and 15

Adding and subtracting 10 from 5 would give you -5 and 15.

c. -3

Starting at -7, and going to the right 4 means that Darcy moved +4. -7+4 would give you negative 3.

Answer:

[A] - 1

[B] - 5

[C] -3

Step-by-step explanation:

[A] The number 6 is 7 units away from 13 on a number line. Which other integer is 7 units away from 6 on a number line?

Solve:

6+7=13

6-7=-1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[B] which integers are 10 units away from 5 on a number line?

Solve:

5-10=-5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[C] Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?

Solve:

-7+4=-3

Negative + Positive =[ Negative]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~lenvy~

Order the steps to factor the quadratic trinomial completely.

Answers

Answer:

1, 4, 3, 5, 6

Step-by-step explanation:

5(5x² - 9x) = 45x + 40 ← distribute parenthesis on left side

25x² - 45x = 45x + 40 ← subtract 45x + 40 from both sides

25x² - 90x - 40 = 0 ← factor out 5 from each term

5(5x² - 18x - 8) = 0

5(x(5x + 2) - 4(5x + 2))

5(x - 4)(5x + 2)

Answer:

The order is: 1, 4, 3, 5, 6

Step-by-step explanation:

5(5x² - 9x) = 45x + 40

25x² - 45x = 45x + 40

25x² - 90x - 40 = 0

5(5x² - 18x - 8) = 0

5(x(5x + 2) - 4(5x + 2)

5(x - 4)(5x + 2)

The order is: 1, 4, 3, 5, 6

1+1
keep it simple, I need help to pass the sat. this question is in my practice and I need help

Answers

Answer:

11

Step-by-step explanation:

(if youre fr in a sat HOW- is 2)

If you have one apple and buy another apple, how many apples will you have? 2! The answer is 2! Please give me brainliest!

a Juan is thinking of a number between 25 and 30. When you count by 4's you say the number. What number is Juan thinking of?​

Answers

Answer:

28

Step-by-step explanation:

4,8,12,16,20,24,28. +4 every time

Answer:

28

Step-by-step explanation:

multiples of 4: 4,8,12,16,24,28

ASAP!!!!!! Solve for X and Y by elimination method 2x+3y=7

Answers

Answer:

first divide by 2x on both sides then times both by 7 then divide by 2 that will get u ur x at least

Step-by-step explanation:

Answer:

Slope = -1.333/2.000 = -0.667  

x-intercept = 7/2 = 3.50000 

 y-intercept = 7/3 = 2.33333

Step-by-step explanation:

I guess if right please mark as brainlest?

I need help figuring this out- ASAP. pls

Answers

t is the total increase of the followers made up --> t = '____'

3 followers for every 'h' (hashtag)

            --> '3h' is the increase of followers for every hastag

5 followers for every 'i' (influencer)

           --> '5i' is the increase of followers for every influence

Now lets put it together

   t = 3h + 5i ; fourth choice

Hope it helps!

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.45. See the figure below.
If the monthly cost for 13 HCF is $46.33, what is the monthly cost for 17 HCF?

Answers

The monthly cost for 17 hundred of cubic feet is $52.13.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the bill paid for x HCF of water.

The slope is 1.45, hence m = 1.45.

The monthly cost for 13 HCF is $46.33, hence:

46.33 = 1.45(13) + b

b = 27.48

y = 1.45x + 27.48

For 17 HCF:

y = 1.45(17) + 27.48 = 52.13

The monthly cost for 17 hundred of cubic feet is $52.13.

Find out more on linear equation at: https://brainly.com/question/14323743

How far is it from the gift shop to the bank?
Bank is -3,-2

Answers

Answer:

-1 I apologize if I'm wrong

Answer:

-5 steps away

explanation:

Add the x and y axis and then count how many it resulted in.

I'm not sure where the gift shop was, but since that wasn't included I had to assume it was at (0, 0). Let me know so I can change this if I need to. Thank you.

I need help u suck at word problems

Answers

I would solve this by calculating the percentage of dislikes that makes up to this amount of likes:

First one, "The True Science of Parallel Universes" would be:

5/300)*100 = 1.66

Second one, "did the Past Really Happen?" would be:

7/400)*100 = 1.75

The first one has less dislikes compared to likes. So "The True Science of Parallel Universes" is the video that is better liked

you have a credit card that has a balance of $3589.90 if you have a good credit rating how much must you pay at the end of the month to get the balance to acceptable debt ratio percentage?

Answers

Answer:

$1107.55

Step-by-step explanation:

3,589.90 x .0590/12 = $17.65

3,589.90 + 17.65 =3,607.55

3,607.55 - 2,500 = $1,107.55

Divide
(3x⁴ +7x³-20x²-30x+25) ÷ (x²+x−6)

Answers

Answer:

[tex]3x { }^{2} + 4x - 6 - \ \frac{11}{x {}^{2} + x - 6 } [/tex]

Determine the solution to the given equation.

4 + 3y = 6y – 5
A.
y = 3
B.
y = –3
C.
y = 1
D.
y = –1

Answers

Answer:

[tex]\huge\boxed{\sf y = 3}[/tex]

Step-by-step explanation:

Given Equation:

4 + 3y = 6y - 5

Add 5 to both sides

4 + 5 + 3y = 6y

9 + 3y = 6y

Subtract 3y to both sides

9 = 6y - 3y

9 = 3y

Divide 3 to both sides

3 = y

OR

y = 3

[tex]\rule[225]{225}{2}[/tex]

Answer:

A

Step-by-step explanation:

y=3

The angle measures of a triangle are shown in the diagram.
50
(2x)
(3x – 10)
What is the value of x?

Answers

Answer:

28

Step-by-step explanation:

2*28 = 56

3*28 = 84 -10 = 74

74+56+50 = 180

180 degrees in a triangle

80 points. Please answer!

Answers

Answer:

a cube that is 1 yard long, 1 yard wide, and 1 yard high

Step-by-step explanation:

The dimensions for a unit cube are:

[tex]1\times1\times1[/tex]

Please note that the units for each side MUST be the same (or if they're different, then the lengths have to be equivalent).

Looking at the answer choices, we can see that the last answer choice is a 1 yd by 1 yd by 1 yd cube, therefore it is a unit cube.

Answer:

I guess 4, because it has only 1 unit in it, and not 9 inches^3.

Step-by-step explanation:

Hope this helps.

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