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Karolina [17]
3 years ago
15

The length of a rectangular park is four timesfour times its width. The park is surrounded by a 33​-foot-wide path. Let x denote

the width of the park. Write a quadratic function to represent the total area of the park and the path.
The quadratic function that represents the total area of the park and the path is _____.
​(Simplify your answer. Do not​ factor.)
Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

A(x) = 4x^2 + 330x + 4356

Step-by-step explanation:

width of park: x

length of park: 4x

width + path width = x + 66

length + path width = 4x + 66

area = (x + 66)(4x + 66)

area = 4x^2 + 66x + 264x + 4356

area = 4x^2 + 330x + 4356

A(x) = 4x^2 + 330x + 4356

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Answer:

(5v + 2)(v - 5)

Step-by-step explanation:

Hello!

The expression is written in the form of ax^2 + bx + c

Let's factor by grouping:

ac  = -50

The sum of the factors of -50 should add up to -23.

-25 and 2 work for this.

Expand and factor:

  • 5v^2 - 23v - 10
  • 5v^2 - 25v + 2v - 10
  • 5v(v - 5) +2(v -5 )
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The factored expression is (5v + 2)(v - 5)

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A bullet travels at 850m/s. How long will it take a bullet to go 1km
gregori [183]
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Joe has read ​30 % of a book. He has 63 more pages to finish. How many pages are there in the​ book?
meriva

Answer:

90 pages

Step-by-step explanation:

30% complete

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0.7t = 63

∴ t = ⁶³/₀.₇

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4 0
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a rectangular prism has a length of 2 3/4 feet, a width of 4 1/2 feet, and a height of 6 inches. what is the volume of the prism
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Answer:

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Since we are told to give the units in inches, let's convert the two values which are in feet.

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Step-by-step explanation:

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