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
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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Related Questions
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.
these are so confusing, can someone explain how to do this
Answers
Answer:
4
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
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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.
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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
asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf
Answers
Answer:
Asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf
Step-by-step explanation:
Asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf
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:
24
Step-by-step explanation:
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:
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<3
the second one is larger
Hope This Helps!!!
if 6 notebooks cost $15 how much would 1 notebook cost?
Answers
Answer:
well altogether it is 15 then it would be 3 dollars each
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%
if y is directly proportional with x and y=180 when x=15,what is the value of x when y=276
Answers
Answer:
23
Step-by-step explanation:
180/15 = 276/x
12 = 276/x
12x = 276
x = 23
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)
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
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
Which expression is equivalent to 3 2 times 3-5 ?
Answers
Answer:
A)
Step-by-step explanation:
Please HELPPP!! Thank you
Answers
Answer:
its 6,7 just make it right if im wrong
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:
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:
b)
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)
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]
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
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
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 :)
Last month the price of a particular pen was $1.20. This month the price of the same pen is $1.50. What is the percent increase in the price of the pen
Answers
Answer:
25%
hope this helps
carter has two consecutive numbers with a sum of 49. what is the smaller number?
A. 23
b. 24
C. 25
D. 26
Answers
Answer:
A.23 is the answer
Step-by-step explanation:
49-26=23
49-25=24
49-24=25
add: 8x^2+7xy-6y^2, 4x^2-3xy+2y^2 and -4x^2+xy-y^2
Answers
Answer:
8x² - 5y² + 5xy
Step-by-step explanation:
8x² + 7xy - 6y² + 4x² - 3xy + 2y² - 4x² + xy - y² = (8x² + 4x² -4x²) + (-6y² + 2y² - y²) + (7xy - 3xy + xy) = 8x² - 5y² + 5xy
Identify an example of a pair of skew line from the box below
Answers
Answer:
AB, CD
Step-by-step explanation:
Skew lines do not lie in the same plane, and do not intersect. One such pair is AB and CD.
__
Additional comment
Any of the lines, and any of the lines that intersect its diagonally-opposite edge will be skew lines.
For example, the opposite edge to line BC is line EG. Lines that intersect EG are ED, EF, GA, GH. All of those four lines are skew with respect to line BC.
What are the terms in this expression: x + 7 - 3x + 6y (Check all that apply)
A is x
B is -4
C is -3x
D is 6y
E is +7
Answers
6y and +7
The table displays the amount of money Stephen has in his piggy bank.
Stephen’s Piggy Bank
Types of Coins Amount ($)
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
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.
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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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:
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