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3 years ago

What is the solution to the system of equations shown in the graph?

Mathematics

2 answers:

kotykmax [81]3 years ago

7 0

What graph? We can’t solve if we don’t have a graph.

tamaranim1 [39]3 years ago

7 0

There is no graph so I cannot answer this question

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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:

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

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

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

5 0

3 years ago

What is the property the statement illustrates7•m=m•7?

marishachu [46]

That would be the commutative property

7 0

3 years ago

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Maria deposited her pay check of $301.86 into her savings account that already had $123.16. She then withdrew $60.00 for her wee

stich3 [128]

Her new balance is -$8.42

8 0

3 years ago

Read 2 more answers

20 days to 2 weeks ratio

Andreas93 [3]

Answer:

20:14 = 10:7

Step-by-step explanation:

A week is equal to 7 days

2 weeks is equal to 2*7 = 14 days

8 0

3 years ago

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3/10 multiply to find an equivalent fraction

SCORPION-xisa [38]

You multiply both the numerator and the denominator by the same number (but not 1 or 0), but don't simplify. 3/10 is your fraction, and you could multiply the top and bottom numbers by 2 to get 6/20.

I hope I helped please leave thanks

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3 years ago