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2 years ago

Anona hires a decorator to redecorate her bedroom. The decorator offers her 2 different plans: the basic plan has

Mathematics

1 answer:

ElenaW [278]2 years ago

7 0

Answer:

The correct option is;

x³ + 4·x² + 3·x < x³ + 13·x² + 54·x + 72.

Step-by-step explanation:

The given parameters are;

The basic plan of the decorator = x wall-color options, x + 1 ceiling-colr options, and x + 3 floor options

The gold plan of the decorator = All of the basic plan options plus 3 additional options in each category

Therefore, the gold plan of the decorator = (x + 3) wall-color options, (x + 1 + 3) ceiling-color options, and (x + 3 + 3) floor options

The total number unique layouts offered by the basic plan = x × (x + 1) × (x + 3) = x³ + 4·x² + 3·x

Also, the total number unique layouts offered by the gold plan = (x + 3) × (x + 1 + 3) × (x + 3 + 3) = (x + 3) × (x + 4) × (x + 6) = x³ + 13·x² + 54·x + 72

Which gives;

The comparison between the total number of unique layouts offered by the basic and gold plans as x³ + 4·x² + 3·x < x³ + 13·x² + 54·x + 72.

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First option is the right choice.

Step-by-step explanation:

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Please help fast elementary school all questions

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2 years ago

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2 years ago