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ZanzabumX [31]
3 years ago
10

The model at the right represents a garden. The total area of the garden shown can be represented by the expression 8x2+12x. If

the width of the garden is 4x, what is the length of the garden?

Mathematics
1 answer:
Fantom [35]3 years ago
3 0

Answer:

length = 2x + 3

Step-by-step explanation:

According to the diagram or picture the shape of the garden is a rectangle. The area of the garden and the width of the garden is known. The length of the garden is what we are asked to find . Since the garden is rectangular, the area of a rectangle is use to calculate the length.

Area of the garden(rectangle) = LW

where

L = length

W = width

L = ?

W = 4x

area = 8x² + 12x

area =  L × W

8x² + 12x = 4x L

divide both sides by 4x

L = 8x²/4x + 12x/4x

L = 2x + 3

length = 2x + 3

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For the functions f(x) = x^2+ 8x + 2 and g(x) = -5+9, find (f•g)(x)and (f.g)(-1).
Ne4ueva [31]

Answer:  (f·g)(x) = -5x³ - 31x² + 62x + 18

               (f·g)(-1) = -70

(fog)(x) = 25x² - 130x + 155

(fog)(-1) = 310

<u>Step-by-step explanation:</u>

f(x) = x² + 8x + 2          g(x) = -5x + 9

(f·g)(x) = (x² + 8x + 2)(-5x + 9)

          = -5x³ + 9x²

                    - 40x² + 72x

            <u>                    - 10x + 18</u>

          = -5x³ - 31x² + 62x + 18

(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18

         =  -5(-1)  - 31(1)    - 62      + 18

         =    5     -   31      - 62      + 18

         =  -70

****************************************************************************************

(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2

           = 25x² - 90x + 81

                       - 40x + 72

              <u>                   +   2</u>

           = 25x² - 130x + 155

(fog)(-1) = 25(-1)² - 130(-1) + 155

            =   25    +  130    + 155

            = 310

<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>

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3 years ago
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3 years ago
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ella [17]

Answer:

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Step-by-step explanation:

You can divide 50 by 2 which is 25

Then subtract 5

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It is really simple really ☺️

5 0
2 years ago
5. Find the radius of a cylinder with a volume of 150 in^3<br> and a height of 10 in.
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Answer:

Hi there!

The correct answer is: 2.185 in

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