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aleksklad [387]
2 years ago
10

Graph and analyze the function f(x)= 1/x-2

Mathematics
1 answer:
Westkost [7]2 years ago
8 0
I graph it for you but I don’t know what to tell you for the rest of your questions

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Ben is 5 years less than 3 times Gracie's age. How can that be represented as an expression?<br>  
Tanzania [10]
You can write 5 times 3
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3 years ago
A rectangular package sent by a postal service can have a maximum combined length and girth (perimeter of a cross sectio) of 108
Morgarella [4.7K]

Answer:

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

Step-by-step explanation:

This is a optimization with restrictions problem.

The restriction is that the perimeter of the square cross section plus the length is equal to 108 inches (as we will maximize the volume, we wil use the maximum of length and cross section perimeter).

This restriction can be expressed as:

4x+L=108

being x: the side of the square of the cross section and L: length of the package.

The volume, that we want to maximize, is:

V=x^2L

If we express L in function of x using the restriction equation, we get:

4x+L=108\\\\L=108-4x

We replace L in the volume formula and we get

V=x^2L=x^2*(108-4x)=-4x^3+108x^2

To maximize the volume we derive and equal to 0

\dfrac{dV}{dx}=-4*3x^2+108*2x=0\\\\\\-12x^2+216x=0\\\\-12x+216=0\\\\12x=216\\\\x=216/12=18

We can replace x to calculate L:

L=108-4x=108-4*18=108-72=36

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

4 0
3 years ago
Read 2 more answers
What are “like terms”? Why can we only add like terms?
SSSSS [86.1K]

Answer:

Like terms are terms whose variables are the same.

We can only add them because if they does not have the same variable you do not actually know if the variables are equivalent and you will get the wrong answer.

Step-by-step explanation:

Ex: 4z,7z,108z,45z

Ex: 4w-2h+7a-2w

You can not add 4w and 7a because you do not know what the variables equal so you do not know the true number so add or subtract by.


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A car dealer sold a car for 120% of the base price. The car sold for 24000. What was the base price of the car
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The correct answer is 19,200. Hope this helps. :)
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The digit 1 in 98,045,132.709
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The answer is Hundred
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