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AleksandrR [38]
3 years ago
13

I don't know how to do this

Mathematics
1 answer:
aliina [53]3 years ago
7 0
Is that division or square root?
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The range of F(x) = 5.2% is all positive real<br> numbers.<br> O A. True<br> O B. False
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Step-by-step explanation:

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What is the answer to this question?
enot [183]

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the equation

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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
Bumek [7]

Answer:

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

The domain for x is all real numbers greater than zero and less than 5 com

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

so

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

5 0
3 years ago
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