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3 years ago

12>-4y+7 I cant figure it out

Mathematics

1 answer:

Brut [27]3 years ago

6 0

Answer:

y > -5/4

Step-by-step explanation:

12 > -4y + 7

Subtract 7 from both sides:

5 > -4y

Divide both sides by -4 (remember to flip the sign when multiplying or dividing by a negative number):

-5/4 < y

Here's another way to solve it. First, add 4y to both sides.

12 + 4y > 7

Subtract 12 from both sides:

4y > -5

Divide by 4:

y > -5/4

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SVEN [57.7K]

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3 years ago

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.

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4 years ago

Michelle wants to save $150 for a trip to the Six Flags amusement park. if she saves $12 each week, how many weeks will it take

Vadim26 [7]

Since 150 is the total and 12 is per week you can actuality do this equation

T= Total,150$ W=Amount saved,12$

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While X = 12.5 Weeks So, the correct answer
is 12.5 Weeks it can be stated As,

12 weeks 3 days 12 hours (X=12.5)

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3 years ago

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Answer:

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Step-by-step explanation:

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Any polynomial in a single variable is a function.

Any function is a relation.

So, ...

it represents both a relation and a function

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3 years ago

The area of a parallelogram 420 square cm and the height is 35 cm. Find the corresponding base.

lesya [120]

Answer:

Step-by-step explanation:

420/35

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3 years ago

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