3 years ago

Solve system of linear equations by graphing. -2x - 5y = -10 3x + 6y= 18

Mathematics

1 answer:

astraxan [27]3 years ago

4 0

Answer:

this is the answer bb

Step-by-step explanation:

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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

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Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

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3 years ago

Given the function f(x) = -5|x + 11 + 3, for what values of x is f(x) = -12?

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Find the equation of the

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Step-by-step explanation:

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The highest common factor of $x^2 y$ and $x$ is $\boxed{x}$

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