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3 years ago

-6x + 3y = 910x + 4y = -6

Mathematics

1 answer:

Stells [14]3 years ago

8 0

Step-by-step explanation:

(-6x +3y=9 )×4

( 10x+4y)×3

-24x +12y =36

30x+12y= -18

-24x+12y- (30x+12y)= 36-(-18)

-54x = 54

x= -1

by using 10x +4y = -6

apply x= -1

-10+4y= -6

4y= -6 +10

4y=4

y=1

so the answer is x=-1 and y= 1

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$\frac{5}{3}$ in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

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Height of box=x

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Substitute the values then we get

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Differentiate w.r.t x

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$x-6=0\implies x=6$

$3x-5=0\implies x=\frac{5}{3}$

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$V''(x)=24x-92$

Substitute x=6

$V''(6)=24(6)-92=52>0$

Substitute x=5/3

$V''(5/3)=24(5/3)-92=-52$

Hence, the volume is maximum at x= $\frac{5}{3}$

Therefore, the side of the square , $x=\frac{5}{3}$ in cutout that gives the box the largest possible volume.

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3 years ago

-6x + 3y = 910x + 4y = -6​

-6x + 3y = 910x + 4y = -6