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liubo4ka [24]
2 years ago
8

Make a table of values and create a line of best fit

Mathematics
1 answer:
Anni [7]2 years ago
4 0
<h2>Explanation:</h2><h2></h2>

Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:

\begin{array}{cc}x & y\\0 & 0\\1 & 2\\2 & 4\\3 & 6\\4 & 8\\5 & 10\end{array}

As you can see, x increases in steps of 1 units. So let's check the difference in y:

\bullet \ \text{From x=0 to x=1} \\ \\ \Delta y=2-0=2 \\ \\ \\ \bullet \ \text{From x=1 to x=2} \\ \\ \Delta y=4-2=2 \\ \\ \\ \bullet \ \text{From x=2 to x=3} \\ \\ \Delta y=6-4=2 \\ \\ \\ \bullet \ \text{From x=3 to x=4} \\ \\ \Delta y=8-6=2 \\ \\ \\ \bullet \ \text{From x=4 to x=5} \\ \\ \Delta y=10-8=2

So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:

y=kx \\ \\ Where: \\ \\ k \ is \ constant \ of \ proportionality \ or \ the \ slope

Then:

k=\frac{2-0}{1-0}=2

Finally, the equation of the line is:

\boxed{y=2x}

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Which of the following sets of ordered pairs does not represent a function?
Annette [7]

Answer:

b does ot represent a function

Step-by-step explanation:

6 0
3 years ago
Can someone please help me without using a link?
USPshnik [31]

Answer:

The answer is Prism T (C)

Step-by-step explanation:

R = 24

S = 25

T = 30

U = 28

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

3 0
3 years ago
Read 2 more answers
Trains headed for destination A arrive at the train station at 15-minute intervals tarting at 7am, where as trains headed for de
grandymaker [24]

Answer: a.) 2/3 ; b.) 7/12

Step-by-step explanation:

Given the following details :

Destination A trains arrives at station at 15 minutes interval starting from 7am

Destination B trains arrives at station at 15 minutes interval starting from 7.05am

A.) if a passenger arrives at station uniformly between 7am and 8am and gets on first train. What proportion of time does the passenger leave from destination A?

To leave for destination A. The passenger has to arrive before train to A departs and after train to B leaves.

Train to B leaves, starting at at 7.05 a.m and at interval of 15 minutes

Train to A leaves at 7.00 am and at interval of 15 minutes.

Therefore,

(Train B departs - train A arrives) (between 7 to 8am)

(7.05 - 7.15) + (7.20 - 7.30) + (7.35 - 7.45) + (7.50 - 8.00) = 40 minutes

Total time = 7.00 - 8.00 = 60 minutes

(40 ÷ 60) = 2/3 or 0.667

B.) If passenger arrives uniformly between 7.10am - 8:10am

(7.10 - 7.15) + (7.20 - 7.30) + (7.35 - 7.45) + (7.50 - 8)

5 + 10 + 10 + 10 = 35

35/60 = 7/12 or 0.583

8 0
3 years ago
Can you help me please
STALIN [3.7K]

Answer:

36

Step-by-step explanation:

Here we a given a rule

It say

x(y÷3)^2

And we are given the values of x and y as

x=4 and y = 9

Let us replace them in the rule we are provided with

4(9÷3)^2

Applying DMAS rule, which says, first Division ollowed by Multiplication addition and then subtraction .

We first divide 9 by 3

9÷3 = 3

Hence

4(9÷3)^2 = 4(3)^2

Now we square first

3^2 = 3 \times 3 = 9

4(3)^2 = 4 \times 9

4(3)^2 = 36

Hence our final answer will be 36

4 0
3 years ago
What is the x-coordinate of the point shown in the graph?<br> 2<br> 08<br> X
Ber [7]

Answer:

-5

Step-by-step explanation:

The point A is located at (-5, -7), as shown in the graph. The x-coordinate is -5,  and the y-coordinate is -7.

4 0
3 years ago
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