Help please any One who can solve this equation? ☺

Mathematics

1 answer:

malfutka [58]3 years ago

6 0

If y varies directly with x, that means they change at proportion rates. We can define their relationship using a constant k.

y = kx

Plug in what we know to find k.

-3 = 5k

k = -3/5

So:

y = -1 * (-3/5)

y = 3/5

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3 years ago

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Vikki [24]

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1. The y-intercept is 10

2. The slope-intercept is -2

Step-by-step explanation:

1. The y-intercept is 10 because when the x-intercept is 0 the y-intercept should be on the other side.

2. (2,6) and (-1,12)

slope=rise/run= the change of y/the change of x=m=y2-y1/x2-x1

1. change of x=-1-2=-3 and change of y= 12-6=6

2. 6/-3= -2

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2 years ago

Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector

Feliz [49]

$f(x,y,z)=2z^2x+y^3$

$f$ has gradient

$\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k$

which at the point (-1, 4, 3) has a value of

$\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k$

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say $\vec u=15\,\vec\imath+25\,\vec\jmath$ , in which case we have