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sammy [17]
3 years ago
15

Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?

Mathematics
1 answer:
blondinia [14]3 years ago
9 0
X^2 - 2x + 4
= (x - 1)^2 - 1 + 4
= (x - 1)^2  + 3
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A-One Talent Agency has 108 clients. 42 of the clients play piano and 51 of the clients play guitar.
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Thwre are 28 clients who don not play any of the instrument using the principle of Venn distribution.

<u>Using a Venn diagram analogy</u> :

  • Total number of client, U = 108
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  • Piano and Guitar, (PnG) = 13
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<u>From the information given</u> :

  • P only = 42 - 13 = 29
  • G only = 51 - 13 = 38

<u>The total number of clients can be related thus</u> :

  • Total = P only + G only + PnG + None

108 = 29 + 38 + 13 + None

108 = 80 + None

None = 108 - 80

None = 28

Therefore, the number of clients who do not play any of the instruments is 28

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Answer:

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Step-by-step explanation:

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A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of
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Answer:

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Step-by-step explanation:

The problem tells us that the length and width of these boxes are both 4 inches less than the height of the box.

So if we name <u>h the height of the box</u>, the <u>width of the box would be h - 4 </u>and the <u>height of the box would be h - 4.</u>

Now, the volume  of a rectangular prism is given by V = height x width x length

So, considering the values we have in this problem we get:

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V = h (h-4)(h-4)

V= h(h-4)²

V= h (h²-8h + 16)

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Therefore, the polynomial representing the volume of this box in terms of the height is h³- 8h² + 16h

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Step-by-step explanation:

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