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Kazeer [188]
3 years ago
8

An artist cuts 4 squares with side length x ft from the corners of a 12 ft-by-18 ft rectangular piece of sheet metal. She bends

up the sides and
welds the comers to form a rectangular garden fountain that is x ft high. Write and simplify a function for the volume of the fountain in terms
of x.
V(x) =
x+
x+

Mathematics
1 answer:
Kruka [31]3 years ago
8 0

Answer:

V=4x^3-60x^2+216x

Step-by-step explanation:

<u>Volume And Function s</u>

Geometry can usually be joined with algebra to express volumes as a function of some variable. The volume of a parallelepiped of dimensions a,b,c is

V=abc

Our problem consists in computing the volume of a box made with some sheet of metal 12 ft by 18 ft. The four corners are cut by a square distance x as shown in the image below .

If the four corners are to be lifted and a box formed, the base of the box will have dimensions (12-2x)(18-2x) and the height will be x. The volume of the box is

V=x(12-2x)(18-2x)

Operating and simplifying

V=4x^3-60x^2+216x

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A sports store sells three different packs of tennis balls. Brand A costs $2.50 for two balls, brand B sells three balls for $3.
meriva

Answer:

Step-by-step explanation:

sports store sells three different packs of tennis balls. Brand A costs $2.50 for two balls, brand B sells three balls for $3.90, and brand C has a sale of four balls for $5.12. Which inequality about the unit price per ball is correct

Brand A:

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Brand C:

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We calculate the unit price :

Brand A:

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Brand B:

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Brand C:

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4 0
3 years ago
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vova2212 [387]

Answer:

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Step-by-step explanation:

yes yes yes it's c :)))))))))

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ICE Princess25 [194]

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7 0
3 years ago
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I’m pretty sure the distance would be (2,5)
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