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Anton [14]
3 years ago
8

Edgar builds a sand castle with a rectangular base. The side lengths of the base are 25 in. And 16 in. He wants to surround the

castle's base with a moat that is w inches wide. Write a quadratic function A in standard form to represent the combined area taken up by the castle and the moat.
Mathematics
1 answer:
STALIN [3.7K]3 years ago
7 0

Answer:

A=4w^2+32w+400

Step-by-step explanation:

-Given the castle dimensions is 25in by 16 in.

-And the moat's width is w:

The moat's width will increase the castle's dimension bytwice it's width, 2w:

#The castles area is thus calculated as:

A=lw\\\\=(25+2w)(16+2w)\\\\=400+80w+32w+4w^2\\\\=4w^2+32w+400

Hence, the combined area of the boat is given as A=4w^2+32w+400

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At a rental car company, a customers daily rental charge D (in dollars) for m miles driven is determined by the function D = 35
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Answer:

See below

Step-by-step explanation:

<u>Given function:</u>

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m represents the domain and D represents the range of the function, therefore m = x, D = y

<u>Filling in the table:</u>

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Solve using quadratic formula<br> 1. y=3x^2-x-6<br><br> 2. y=-5x+7x+3
nignag [31]
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2 years ago
A is inversely proportional to b. If a=7.2 when b=-4, what will a equal when b=6?
Tpy6a [65]

Answer:

<h2>a = - 4.8</h2>

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

a \:  \:  \alpha  \:  \:  \frac{k}{b}

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When a = 7.2 , b = -4

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<h3>a = - 4.8</h3>

Hope this helps you

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