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Nastasia [14]
3 years ago
6

What is the constant of proportionality in the equation y=\dfrac{5}{9}xy= 9 5 ​ XY, equals, start fraction, 5, divided by, 9, en

d fraction, x?
Mathematics
1 answer:
Molodets [167]3 years ago
7 0

Answer:

k=\dfrac{5}{9}

Step-by-step explanation:

The given equation is :

y=\dfrac{5}{9}x ...(1)

We need to find the constant of proportionality in the equation.

In this equation, y is directly proportional to x i.e.

y ∝ x

or

y = kx  ...(2)

k is constant of proportionality

If we compare equation (1) and (2), we find that,

k=\dfrac{5}{9}

So, the constant of proportionality is equal to \dfrac{5}{9}.

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Please solve needed as soon as possible thank you I really appreciate it
e-lub [12.9K]

Answer:

143

Step-by-step explanation:

Substitute n=3 into the problem

6(3^{3})-2(3^{2}) +3-4

Then figure out squared and power by 3

6(27)-2(9)+3-4

Next multiply

162-18+3-4

Finally, add and subtract

144+3=147

147-4=143

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3 years ago
Will the graph be continuous or discrete ?
Kobotan [32]

Answer:

continous

Step-by-step explanation:

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3 years ago
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Describe two ways to tell if a graph is a function
Dima020 [189]

Answer:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

Step-by-step explanation:

Hope that helps you out!

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8 0
3 years ago
Use cubic regression to find a function that fits the following points.
olasank [31]

Answer:

The cubic regression that fits the points (x,y) =(-2,-16), (x,y) = (1,5), (x,y) = (3, 59) and (x,y) =(6,440) is y =2\cdot x^{3}+x+2.

Step-by-step explanation:

A cubic polynomial is a polynomial that has the following form:

y = a\cdot x^{3}+b\cdot x^{2}+c\cdot x + d (1)

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

a, b, c, d - Coefficients, dimensionless.

We construct the following system of equations to determine the coefficients of the cubic regression:

(x,y) =(-2,-16)

-8\cdot a +4\cdot b -2\cdot c + d = -16 (1)

(x,y) = (1,5)

a+b+c+d= 5 (2)

(x,y) = (3, 59)

27\cdot a + 9\cdot b + 3\cdot c + d = 59 (3)

(x,y) =(6,440)

216\cdot a + 36\cdot b + 6\cdot c + d = 440 (4)

The solution of the system of linear equations is:

a = 2, b = 0, c = 1, d = 2

The cubic regression that fits the points (x,y) =(-2,-16), (x,y) = (1,5), (x,y) = (3, 59) and (x,y) =(6,440) is y =2\cdot x^{3}+x+2.

7 0
3 years ago
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