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Alenkinab [10]
3 years ago
11

Make a table of ordered pairs for the equation. y= 1/2x − 3 Then plot two points to graph the equation.

Mathematics
2 answers:
inysia [295]3 years ago
6 0

Answer:

Check the image

Step-by-step explanation:

To create the table we just have to give values to X and evaluate the equation with those values, we will use from -3 to 3:

X       Y

-3       -4,5

-2       -4

-1        -3,-5

0        -3

1        -2,5

2        -2

3         -1,5

Now that we have this we just use two points and unite them in the graph with a straigh line, I´d recomment using the first and last points. Checjk the image.

MrMuchimi3 years ago
5 0
All you gotta do is pick a random point on the x-axis, lets say, x=2 in this case, and plug it into the equation.

If x=2, y = (1/2)2 - 3 = 2 - 3 = -1
When x = 2, y = -1

Now pick another point, x = 1

x = 1, y = (1/2)1 - 3 = 0.5 - 3 = - 2.5
When x = 1, y = - 2.5

Draw a cross on those 2 points, on the 2d plane
(1, -2.5) and (2, -1)
and draw a line between them, and make the line continue past the points, having no boundaries but the paper you hold, keeping it straight the entire time. With not turns.

If you want to draw out a table, make it have 2 rows, and 6 columns.
Write x in the first column of the first row, and write y in the first column of the second row.

Now, write down a different, random x value, in each column in the first row.
In the second row, in each column, write the y value, that corresponds to the x value given above each individual column, based on the equation
y = 1/2x - 3.
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A fair coin is tossed repeatedly with results Y0, Y1, Y2, . . . that are 0 or 1 with probability 1/2 each. For n ≥ 1 let Xn = Yn
Gekata [30.6K]

Answer:

False. See te explanation an counter example below.

Step-by-step explanation:

For this case we need to find:

P(X_{n+1} = | X_n =i, X_{n-1}=i') =P(X_{n+1}=j |X_n =i) for all i,i',j and for X_n in the Markov Chain assumed. If we proof this then we have a Markov Chain

For example if we assume that j=2, i=1, i'=0 then we have this:

P(X_{n+1} = | X_n =i, X_{n-1}=i') =\frac{1}{2}

Because we can only have j=2, i=1, i'=0 if we have this:

Y_{n+1}=1 , Y_n= 1, Y_{n-1}=0, Y_{n-2}=0, from definition given X_n = Y_n + Y_{n-1}

With i=1, i'=0 we have that Y_n =1 , Y_{n-1}=0, Y_{n-2}=0

So based on these conditions Y_{n+1} would be 1 with probability 1/2 from the definition.

If we find a counter example when the probability is not satisfied we can proof that we don't have a Markov Chain.

Let's assume that j=2, i=1, i'=2 for this case in order to satisfy the definition then Y_n =0, Y_{n-1}=1, Y_{n-2}=1

But on this case that means X_{n+1}\neq 2 and on this case the probability P(X_{n+1}=j| X_n =i, X_{n-1}=i')= 0, so we have a counter example and we have that:

P(X_{n+1} =j| X_n =i, X_{n-1}=i') \neq P(X_{n+1} =j | X_n =i) for all i,i', j so then we can conclude that we don't have a Markov chain for this case.

6 0
2 years ago
Find the sum 7+101/2+14+.........+84​
rewona [7]

Answer: 155.5 Is your sum! (❤´艸`❤)

3 0
3 years ago
What is the value of x?​
pashok25 [27]

Answer:x = 121 degrees

Step-by-step explanation:

X is 121 degrees because it is a same side interior angle to the 59 degree angle. 180-59 = 121.

3 0
3 years ago
Explain why the exponents cannot be added in the product 12^3 x 11^3
cestrela7 [59]
The exponent cannot be added to the product because it stated in the law of exponents. An exponent is simply the shorthand in multiplying your base number. Exponent will give how many times you will multiply the base numbers. It is not possible that you add both exponents in the given situation because they have different value together.
=> 12^3 x 11^3
If we solve this equation following the rule of exponent will get the correct answer:
=> (12 x 12 x 12) x (11 x 11 x 11)
=> 1728 X 1331
=> the answer is 2 299 968
But if we add the exponent, the answer would be wrong
=> 12^3 x 11^3
=> 132^6
=> 5289852801024 which is wrong.



7 0
3 years ago
Read 2 more answers
The length of a rectangle is 2m-1 and the width is m+3. Simplify an expression for the perimeter of the rectangle.
xxTIMURxx [149]

Answer:

6m+ 4

Step-by-step explanation:

2(2m-1) + 2(m+3)

4m - 2 + 2m + 6

6m + 4

5 0
2 years ago
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