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WITCHER [35]
4 years ago
13

5y-3x+2=0 to y=mx+b form

Mathematics
1 answer:
Makovka662 [10]4 years ago
8 0
5y-3x+2=0\\
5y=3x-2\\
y=\dfrac{3}{5}x-\dfrac{2}{5}
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Find the jacobian of the transformation. x = u2 + uv, y = uv2
atroni [7]
\mathbf J=\begin{bmatrix}\dfrac{\partial x}{\partial u}&\dfrac{\partial x}{\partial v}\\\\\dfrac{\partial y}{\partial u}&\dfrac{\partial y}{\partial v}\end{bmatrix}=\begin{bmatrix}2u+v&u\\v^2&2uv\end{bmatrix}

The Jacobian has determinant

\det\mathbf J=\begin{vmatrix}2u+v&u\\v^2&2uv\end{vmatrix}=(2u+v)2uv-uv^2=4u^2v+uv^2=uv(4u+v)
5 0
4 years ago
Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
JulsSmile [24]

Answer:

y = \frac{1}{3} x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 1 ← is in slope- intercept form

with slope m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-3} = \frac{1}{3}, thus

y = \frac{1}{3} x + c ← is the partial equation of the perpendicular line

To find c substitute (6, 3) into the partial equation

3 = 2 + c ⇒ c = 3 - 2 = 1

y = \frac{1}{3} x + 1 ← equation of perpendicular line

6 0
3 years ago
A vending machine randomly dispenses gumballs of three flavors: orange, grape, and cherry. If the machine currently contains 20
Monica [59]

Answer:

22

Step-by-step explanation:

Find the worst case scenario.

Worst case:

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The answer is 22 gumballs.

Hope this helps :)

Have a great day!

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the answer is 40 dollars

Step-by-step explanation:

all you have to do is multiply 15x2 and then add 10

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Answer:

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Step-by-step explanation:

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3 years ago
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