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viktelen [127]
3 years ago
9

Create a set of coordinates to model a relation that is a linear function.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0
I will create a set of arbitrary constants (x1,y1) (x2,y2)

slope = y2-y1/x2-x1

y = (y2-y1/x2-x1)x + b

y2 = (y2-y1/x2-x1)x2 + b

b = y2 - (y2-y1/x2-x1)x2

y = (y2-y1/x2-x1)x + [y2 - (y2-y1/x2-x1)]

Choose any points and just 
Plug the values and you have a linear function.

NOT SURE IF THAT'S WHAT THE QUESTION WANTS.





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Write each of the following expressions without using absolute value: PLEASE HELP I WILL MAKE BRAINLIEST TO WHOEVER GETS BOTH OF
nignag [31]

Answer:

7

Step-by-step explanation:

3 0
2 years ago
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Graph the linear function.<br> f(x) = -2<br> HELP PLEASE!!
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5 0
3 years ago
Identify each function that has a remainder of -3 when divided x+6
Sergeu [11.5K]

Answer:

D

Step-by-step explanation:

According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.

<em>So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.</em>

<em />

<em>For A:</em>

x^5 + 2x^2 - 30x + 30\\=(-6)^5 + 2(-6)^2 - 30(-6) + 30\\=-7494

For B:

x^4 + 4x^3 - 21x^2 - 53x + 12\\=(-6)^4 + 4(-6)^3 - 21(-6)^2 - 53(-6) + 12\\=6

For C:

x^3 - 10x^2 - 7\\=(-6)^3 - 10(-6)^2 - 7\\=-583

For D:

x^4 + 6x^3 - 10x - 63\\=(-6)^4 + 6(-6)^3 - 10(-6) - 63\\=-3

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.

5 0
2 years ago
Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (–10, 6), (4, 6).
fomenos

Answer:

\frac{(x--3)^2}{49} -\frac{(y-6)^2}{32}=1

Step-by-step explanation:

The standard equation of a horizontal hyperbola with center (h,k) is

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is 2a=|4--10|.

\implies 2a=|14|

\implies 2a=14

\implies a=7

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is (\frac{-10+4}{2},\frac{6+6}{2}=(-3,6)

We need to use the relation a^2+b^2=c^2 to find b^2.

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

c=|6--3|=9

\implies 7^2+b^2=9^2

\implies b^2=9^2-7^2

\implies b^2=81-49

\implies b^2=32

We substitute these values into the standard equation of the hyperbola to obtain:

\frac{(x--3)^2}{7^2} - \frac{(y-6)^2}{32}=1

\frac{(x+3)^2}{49} -\frac{(y-6)^2}{32}=1

7 0
3 years ago
:BfJBFLbobafofbudbnmb ggjpbpgbpgsbgubpbgbnopgnpgpngnp ya know
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Answer:

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Step-by-step explanation:

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2 years ago
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