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2 years ago

Use any method of your choice to solve this system. 2x−y=11 6x−3y=15

Mathematics

1 answer:

algol [13]2 years ago

5 0

2x −6x− y+ 3y+15-11 =-4x-2y-4=xy=4+2+4=10

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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

3 × 1 1/2 as a mixed number in simplest form

Anna11 [10]

Answer:

1.5 - 1 1/5 = 3

= 0.3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Marcy has $20 she wants to buy a book that is marked down 30% from its original price of $28. If the sales tax is 2.5 does she h

ale4655 [162]

Answer:

Step-by-step explanation:

thirty percent of $28 is $8.4, so you would subtract the two leaving you with $19.6

2.5 sales tax of $19.6 is $0.49

Adding those two, the total comes to 20.09 which is just over budget

5 0

3 years ago

Y(1 - 2x) + xy²(I - 2x)²

Ghella [55]

How do you want this solved?

5 0

2 years ago

Read 2 more answers

Certain day in Bogotá, the temperature in the morning was 10 C or 50 F. At noon, the temperature was 15 C or 59 F according to t

nikitadnepr [17]

Quick answer: 68oF <<<<

A quick way to figure this out is to double the C temperature and add 30, just so you get an estimate.
F ~ 2*20 + 30 ~ 70oF

Now let's use the actual formula
F = 9/5 * C + 32
F = 9/5 * 20 + 32
F = 180/5 + 32
F = 36 + 32
F = 68o

68oC <<<<< answer.

4 0

2 years ago