3 years ago

What is the solution the this equation? solve using linear combination method:

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

6 0

The solution is x=6 and y=5

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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

3 years ago

Your race car weighs 1.5 tons. To make the car faster, you replaced the steel body with carbon-fiber and reduced the weight by 3

Scorpion4ik [409]

One ton = 2000 lbs
Therefore, 1.5 tons = 3000 lbs
3000-300=2700lbs

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3 years ago

Estimate the volume of the prism 6.8 ft 0.0 ft 0.6 ft

Degger [83]

Answer: If rounded it would be 13 (together not rounded).... If not its would be 12(not rounded)

Step-by-step explanation: 6.8 is about to 7,.... and 0.0 is just 0..... and 0.6 is close to 0.5 all together would be 13 but if we round it would be 12

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3 years ago

Which number line represents the solution set for the inequality 3(8-4x)<6(x-5)

quester [9]

Answer:

x>3

Step-by-step explanation:

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2 years ago

A school play earned over $250 from selling tickets, which cost $11 each. Which of the following inequalities models this situat

jeyben [28]

Its B because its supposed to be OVER 250

7 0

3 years ago

Read 2 more answers