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grigory [225]
2 years ago
7

Matt wants to buy a pen that costs $2.35.

Mathematics
1 answer:
Troyanec [42]2 years ago
4 0

Answer:

7.65

Step-by-step explanation:

10- 2.35= 7.65

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Let x be the width of the compartment,

Then according to the question,

The length of the compartment = x + 2

And the depth of the compartment = x -1

Thus, the volume of the compartment,  V = (x+2)x(x-1) = x^3 + x^2 - 2x

But, the volume of the compartment must be 8 cubic meters.

⇒ x^3 + x^2 - 2x = 8

⇒ x^3 + x^2 - 2x - 8=0

⇒ (x-2)(x^2+3x+4)=0

If x-2=0\implies x = 2 and if  x^2+3x+4=0\implies x = \text{complex number}

But, width can not be the complex number.

Therefore, width of the compartment = 2 meter.

Length of the compartment = 2 + 2 = 4 meter.

And, Depth of the compartment = 2 - 1 = 1 meter.

Since, the function that shows the volume of the compartment is,

V(x) = x^3 + x^2 - 2x

When we lot the graph of that function we found,

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But width can not infinite,

Therefore, the maximum value of V(x) will be 8.




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3 years ago
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Th The Future Businesses leaders of America club is setting up a school store. Members plan to sell pens and pencils. A pen is $
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Step-by-step explanation:

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