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3 years ago

14

PLEASE ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️ GIVE BRAINLIST

2 answers:

Andrei [34K]3 years ago

7 0

Answer:

D. all real numbers

Step-by-step explanation:

The domain is all the x's on a graph or that are permitted in an equation (if you have an equation instead of a graph)

If there is nothing on the graph to indicate the graph is a segment (endpoints that are either closed or open) or has other holes in it (literally a point on the line that is open) then the domain for a linear function (a line) is always all real numbers. The same is true for all of the above for the range as well, except the range is all the y's

Ksenya-84 [330]3 years ago

7 0

Answer is D. all real numbers

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VLD [36.1K]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

A box with a square base and closed top is required to have a volume of 27,000 cm3

julia-pushkina [17]

Answer:

h=30cm

Base sides, x=30cm

Step-by-step explanation:

Let x be the dimension of the sides and h the dimension of height;

$V=x^2h$

#Material used is directly proportional to surface area. Minimizing surface area will minimize the amount of material used.

$Area=2x^2+4xh$

Find area as a function of x:

$V=x^2h=27000\\\\h=\frac{27000}{x^2}\\\\Area=2x^2+4x(\frac{27000}{x^2})\\\\=2x^2+\frac{108000}{x}$

To minimize Area, we find the first derivative of Area:

$A=2x^2+\frac{108000}{x}\\\\A\prime=4x+\frac{108000}{x^2}=0\\\\\frac{4x^3-108000}{x^2}=0\\\\4x^3=108000\\\\x=30$

#find the second derivative to verify the minimum:

$A\prime=4x+\frac{108000}{x^2}\\A\prime\prime=4x+\frac{108000}{x^3}=124, x=30$

Substitute x in the volume equation to find h:

$h=\frac{27000}{x^2}\\\\=\frac{27000}{30^2}\\\\h=30$

Hence, the dimensions of the box that minimize the amount of material used h=30cm and x=30cm

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Annette [7]

Answer:

Step-by-step explanation:

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3 years ago