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3 years ago

Simplify 0.5x-2y > 3

Mathematics

2 answers:

Marat540 [252]3 years ago

5 0

Answer:

$x>4y+6$

Step-by-step explanation:

$0.5x-2y>3$

First, we will have to add 2 to both sides.

$0.5x-2y+2y>3+2y$

This equals to

$0.5x>2y+3$

Now, we will make this into a fraction and divide. We will divide by 0.5.

$\frac{0.5x}{0.5} >\frac{2y+3}{0.5}$

Now that we divided, we got our answer!

$x>4y+6$

Hope this helps!

egoroff_w [7]3 years ago

4 0

I will assume you want it in the form of y>mx+b

0.5x-2y>3

0.5x-3>2y

0.25x-1.5>y

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Answer:

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

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Step-by-step explanation:

The question is

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

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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)

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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

(x^2+y)(x^4y^3)/xy^2

r-ruslan [8.4K]

Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5. Enter your answer into

yulyashka [42]

The equation of the line is $y = (3/5)x + 26/5$

Step-by-step explanation:

The line passes through the point (2,-4).
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To find the equation of the line passing through a point and given its slope, the slope-intercept form is used to find its equation.

The equation of the line when a point and slope is given :

⇒ $(y-y1) = m(x-x1)$

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m is the slope of the line.
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Therefore, the equation of the line can be framed by,

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Now, multiply the number outside the bracket to each term inside the bracket.

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Divide by 5 on both sides of the equation,

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Therefore, the equation of the line is $y = (3/5)x + 26/5$

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