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3 years ago

Help me get this:Y=3x+C

Mathematics

1 answer:

Sedbober [7]3 years ago

4 0

Hi there!

$Y = 3x + c$

Simplifying

$Y = 3x + c$

Reorder the terms:

$Y = c + 3x$

Solving

$Y = c + 3x$

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Simplifying

$Y = c + 3x$

Hope this helped you!

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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard

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Answer:

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

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Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

$V=LWH$

we have

$L=(10-2x)\ cm$

$W=(10-2x)\ cm$

$H=x)\ cm$

substitute

$V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

Find the domain for x

we know that

$(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm$

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

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3 years ago

Elliott is 63 inches tall, which is 9inches taller than cousin, Jackson.write and solve an addition equation to find Jackson hei

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Answer:

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Step-by-step explanation:

Using the variable 'J' for the height of Jackson, we know that Elliott is Jackson's height, plus an additional 9 inches. Since Elliott is 64 inches tall in total, we can add Jackson's height plus 9 to get Elliot's height:

Jackson's height + 9 inches = Elliot's height

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Help me get this:Y=3x+C​

Help me get this:Y=3x+C