2 years ago

Find the output y, when input x is 6

Mathematics

1 answer:

sashaice [31]2 years ago

3 0

Answer: y = 0

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

Tresset [83]

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.

4 0

2 years ago

Subtract -2k^3 + k^2 - 9 from 5k^3 - 3k + 7.

Lady_Fox [76]

5k^3 - 3k + 7 + <span>2k^3 - k^2 + 9
= 7k^3 - k^2 -3k + 16</span>

3 0

3 years ago

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Write a slope-intercept equation for a line with the given characteristics.

Ksivusya [100]

The equation will be y=-5/9x+16/3

6 0

3 years ago

BRAINLIEST!!!

vichka [17]

I believe the answer is $17500

3 0

2 years ago

If you have one quarter, nine pennies, six dimes, and one nickle, how much money would you have?

Nady [450]

Answer:

99 cents

Step-by-step explanation:

one quarter=25 cents

nine pennies= 9 cents

six dimes= 60 cents

one nickle= 5 cents

25+9+60+5=85+14=99

3 0

1 year ago

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