Each day Jacob records the number of laps and the distance he walks, in miles, on a track. Graph the relation and determine whether the distance that Jacob walks is a function of the number of laps.
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}

Answers

Answer 1

The distance is 6.18 miles that Jacob walks as a function of the number of laps which is represented in the attached graph.

We have been given the relation below:

{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}

What is the distance between two points?

The distance between two points is defined as the length of the line segment between two places representing their distance.

The formula of the distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².

The given relation of function is represented in the attached graph.

Take two endpoints (3, 0.75) and (9, 2.25)

x₁ = 3, y₁ = 2.25

x₂ = 4, y₂ = 9

distance = √ (9 – 3)² + (2.25 – 0.75)²

distance = √ (6)² + (1.5)²

distance = √ (36 + 2.25)

distance = √ (38.25)

distance = 6.18 miles

Therefore, the distance is 6.18 miles that Jacob walks is a function of the number of laps.

Learn more about the distance between two points here:

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Each Day Jacob Records The Number Of Laps And The Distance He Walks, In Miles, On A Track. Graph The

Related Questions

How much does the state spend in tax dollars altogether?
a. 20 million dollars
b. 12 million dollars
c. 24 million dollars
d. 48 million dollars

Answers

Answer:

24 mill

Step-by-step explanation:

Answer:

Step-by-step explanation:

The perimeter of a rectangle is 80 inches. The length of the rectangle is 12 inches.

Which equation could represent the width of the rectangle, w?

Answers

Answer:

That will be 7

Step-by-step explanation:

The equation that represents the width of the rectangle will be 2(L + W) = 80. And its width is 28 inches.

What is the perimeter of the rectangle?

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The perimeter of a rectangle is 80 inches. The length of the rectangle is 12 inches. Then the equation is given as,

2(L + W) = 80

2(12 + W) = 80

12 + W = 40

W = 40 - 12

W = 28 inches

The equation that represents the width of the rectangle will be 2(L + W) = 80.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

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add: 8x^2+7xy-6y^2, 4x^2-3xy+2y^2 and -4x^2+xy-y^2

Answers

Answer:

8x² - 5y² + 5xy

Step-by-step explanation:

8x² + 7xy - 6y² + 4x² - 3xy + 2y² - 4x² + xy - y² = (8x² + 4x² -4x²) + (-6y² + 2y² - y²) + (7xy - 3xy + xy) = 8x² - 5y² + 5xy

Under his cell phone plan, Joseph pays a flat cost of $48 per month and $3 per gigabyte, or part of a gigabyte. (For example, if he used 2.3 gigabytes, he would have to pay for 3 whole gigabytes.) He wants to keep his bill under $55 per month. What is the maximum whole number of gigabytes of data he can use while staying within his budget?

Answer:

gigabytes

gigabytes

Answers

Answer: 2 is the maximum number of gigabytes

Step-by-step explanation:

carter has two consecutive numbers with a sum of 49. what is the smaller number?
A. 23
b. 24
C. 25
D. 26

Answers

Answer:

A.23 is the answer

Step-by-step explanation:

49-26=23

49-25=24

49-24=25

if 6 notebooks cost $15 how much would 1 notebook cost?

Answers

Your answers is 9 brainleist plz

Answer:

well altogether it is 15 then it would be 3 dollars each

Step-by-step explanation:

someone pleeeeease help me

Answers

Answer:

22.4cm

Step-by-step explanation:

The formula for the diagonal is:

[tex]d = \sqrt{l^{2} + b^{2} +h {}^{2} } [/tex]

Where:

l is the length (AB, CD)

b is the width (BC, AD)

h is the height (AE, BF, CG, DH)

We know d, l, b and we can calculate h

[tex]25 = \sqrt{10^{2} + 8^{2} + h^{2} } [/tex]

We evaluate both sides to ² to remove the square root:

[tex]25^{2} = 100 + 64 + h {}^{2} [/tex]

[tex]625 = 164 + h {}^{2} [/tex]

To find the value of h we have to do the square root, as it is to the ²:

[tex] \sqrt{625 - 124} = h[/tex]

[tex] \sqrt{501} = h = 22.4cm[/tex]

4x + 7 = 6x + 4. what is this answer step by step?

Answers

[tex]4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32[/tex]

Answer:

x= 3/2

Step-by-step explanation:

4x+7=6x+4

Step 1: Subtract 6x from both sides.

4x+7−6x=6x+4−6x

−2x+7=4

Step 2: Subtract 7 from both sides.

−2x+7−7=4−7

−2x=−3

Step 3: Divide both sides by -2.

-2x=-3

-2 -2

3/2

Choose the angle which is represented by the name.

RUN and NUG

Answers

Answer:

Option C

Step-by-step explanation:

Both RUN and NUG have U in the middle of them, so the bottom one would be correct as U is in the center.

5 1/4 - 2 2/3 in fraction form

Answers

Answer:

6 1/10 (6.1)

Step-by-step explanation:

2 3/5 + 3 1/2 (2.6 + 3.5= 6.1)

2 6/10 + 3 5/10

5 11/10

6 1/10 (6.1)

asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf

Answers

Answer:

Asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf

Step-by-step explanation:

Asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf

these are so confusing, can someone explain how to do this

Answers

Answer:

Step-by-step explanation:

x/2 +6 = 8

subtract 6 from both sides

x/2 = 2

multiply by the reciprocal of 1/2 which is 2. That cancels out the 2 on the x side and x is equal to 4

Hope that helps

Answer:

x = 4

Step-by-step explanation:

The left side of the equation has a variable term (x/2) and a constant term (6).

The right side of the equation has a constant term (8).

This is the form you expect to see for a "two-step" linear equation. It is solved in 2 steps.

Step 1:

Subtract the left-side constant from both sides.

x/2 +6 -6 = 8 -6

x/2 = 2 . . . . . simplify

Step 2:

Multiply both sides of the equation by the reciprocal of the coefficient of x. The coefficient of x is 1/2. Its reciprocal is 2/1 = 2. When you multiply both sides by 2, you get ...

2(x/2) = 2(2)

x = 4 . . . . . . simplify

_____

Additional comment

The idea of a multiplicative inverse (reciprocal) is that a number multiplied by its reciprocal is 1.

[tex]\dfrac{2}{1}\times\dfrac{1}{2}=\dfrac{2}{2}=1[/tex]

1 is the "identity element" for multiplication. That means whatever you multiply by 1 retains its original identity. Multiplying x by 1 gives x.

When we solve an equation of this sort, we use these properties of multiplication (inverse, identity element) to "get rid of" the coefficient of x.

As always, the rules of equality say that whatever you do to one side of the equation must also be done to the other side. So, when we multiply x/2 by 2, we must also multiply the other side of the equation by 2.

Don't let the presentation of the x-term throw you. It can be written several ways that all mean the same thing.

(1/2)x . . . . with or without the parentheses

0.5x

x/2

if y is directly proportional with x and y=180 when x=15,what is the value of x when y=276

Answers

Answer:

Step-by-step explanation:

180/15 = 276/x

12 = 276/x

12x = 276

x = 23

k/5.6+ 41.5 = 10.8
The solution is k=

Answers

Answer: The solution is k = -171.92.

Answer:

k = - 171.92

Step-by-step explanation:

[tex]\frac{k}{5.6}[/tex] + 41.5 = 10.8 ( subtract 41.5 from both sides )

[tex]\frac{k}{5.6}[/tex] = - 30.7 ( multiply both sides by 5.6 to clear the fraction )

k = - 171.92

can i get some help ?::

Answers

Answer:

7+3^2-2*5/4-1*2=

7+9-10/-2=

6/-2 or -3

3/4+1/8=

7/8 divided by 1/8=

7-2^2

-3<3

the second one is larger

Hope This Helps!!!

What are the terms in this expression: x + 7 - 3x + 6y (Check all that apply)

A is x
B is -4
C is -3x
D is 6y
E is +7

Answers

The answer is d and e
6y and +7

solve 4/6 x 2/5(PLEASE HELP I'M FAILING MATH!!!!!!!!!!!!!!!!!!!!!!!!!!)

Answers

[tex] \frac{4}{6} \times \frac{2}{5} \\ = \frac{4 \times 2}{6 \times 5} \\ = \frac{8}{30} \\ = \frac{4}{15} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Which expression is equivalent to 3 2 times 3-5 ?

Answers

Answer:

Step-by-step explanation:

There are 65 seats on a train. 39 of the seats are empty. What percentage of the seats on the train are empty?

Answers

Answer: 60%

Step-by-step explanation:

39/65 = 3/5 = 60%

Answer:

60%

Step-by-step explanation:

65 seats in total = 100%

divide by 65 on both sides to get 1 seat

1 seat=1.54

times by 39

39 seats=60%

The table displays the amount of money Stephen has in his piggy bank.

Stephen’s Piggy Bank
Types of Coins Amount ($)
Quarters 7.50
Dimes 6.00
Nickels 5.50
Pennies 3.00

Which answer choices accurately approximate a comparison between the value of the dimes in the piggy bank and the total value of Stephen’s coins?
Select all the correct answers.

Answer choices:
6%
3/11
6/22
60%
27%
3/5

Answers

Answer:

The answer is 27%, 6/22, and 3/11.

Pls mark brainliest. :D

Please HELPPP!! Thank you

Answers

Answer:

its 6,7 just make it right if im wrong

Simplify the variable expression below as much as possible.
X + 8 .z
Answer here

Answers

Answer:

It will stay at x + 8

Step-by-step explanation:

Identify an example of a pair of skew line from the box below

Answers

Answer:

AB, CD

Step-by-step explanation:

Skew lines do not lie in the same plane, and do not intersect. One such pair is AB and CD.

Additional comment

Any of the lines, and any of the lines that intersect its diagonally-opposite edge will be skew lines.

For example, the opposite edge to line BC is line EG. Lines that intersect EG are ED, EF, GA, GH. All of those four lines are skew with respect to line BC.

What is the equation of the line?

Answers

Answer: x=0

Step-by-step explanation:

The line has an undefined slope and has infinitely many solutions as it passes through the y-axis

Therefore the equation of the line is x=0

Last month the price of a particular pen was $1.20. This month the price of the same pen is $1.50. What is the percent increase in the price of the pen

Answers

Answer:

25%

hope this helps

Brainliestttytttttdd

Answers

Answer: Answer C

Step-by-step explanation:

Only y=x-2 passes through both points as it starts pretty low and rises to the right through both points B and C

The answer is A. y= -2x + 1

I need help with this problem:
Which system of equations belongs to the graph?
a) 2x - 2y = 6 and 2x + 3y = 6
b) 2x + 2y = 6 and 4x – 6y = 12
c) x - 2y = 6 and 4x + 6y = 12
d) None of the above

Answers

Answer:

Step-by-step explanation:

2x + 2y = 6 ---> y=-1x+3

4x – 6y = 12 ---> y= 4/6x -2

Answer:

I think it is a

Step-by-step explanation:

You have to solve those systems first. In the first option, x would be equal to 3 and y would be 0. Therefore, the intersection is (3; 0)

2 Divided by 1 / 5. Rlly need help on this

Answers

Answer:

The answer will be 10

Step-by-step explanation:

2/1/5=10

Why are the two houses of Congress a compromise? How did this address the concerns of both groups?

Answers

Answer:

To balance the interests of both the small and large states, the Framers of the Constitution divided the power of Congress between the two houses. Every state has an equal voice in the Senate, while representation in the House of Representatives is based on the size of each state's population.

Step-by-step explanation:

Algebra 1
Q.13 Complete a function table from an equation 273
Complete the table.
f(x) = 2x - 10
х f(x)
6
7
8
9
Submit

Answers

Answer with step-by-step explanation:

To solve this, all we have to do is replace x in 2x - 10 with the number from the table.

6: 2(6) - 10 = 2

7: 2(7) - 10 = 4

8: 2(8) - 10 = 6

9: 2(9) - 10 = 8

There you have it! Have a good day :)

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Each day Jacob records the number of laps and the distance he walks, in miles, on a track. Graph the relation and determine whether the distance that Jacob walks is a function of the number of laps. {(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}

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Each day Jacob records the number of laps and the distance he walks, in miles, on a track. Graph the relation and determine whether the distance that Jacob walks is a function of the number of laps.
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}