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sleet_krkn [62]
3 years ago
15

GARDEN Amanda is planting flowers in a rectangular garden. She wants to know the amount of space in her backyard the garden will

occupy. The length of the garden is represented by the function L(x) = 2x + 1 and the width of the garden is represented by the function W(x) = x – 2. What function represents the area of the garden, A(x)?
Mathematics
1 answer:
Andrew [12]3 years ago
6 0

The function A(x) = 2x²-3x-2 represents the area of the garden.

Step-by-step explanation:

Given,

Length of rectangular garden is given by;

L(x) = 2x+1

Width of rectangular garden is given by;

W(x) = x-2

Area of rectangular garden;

A(x) = L(x) * W(x)

A(x) = (2x+1)(x-2)\\A(x) = 2x(x-2)+1(x-2)\\A(x) =2x^2-4x+x-2\\A(x) = 2x^2-3x-2

The function A(x) = 2x²-3x-2 represents the area of the garden.

Keywords: Area, rectangle

Learn more about area at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

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Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

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We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

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To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

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If you want to learn more about systems of equations:

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1 year ago
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Answer:

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Step-by-step explanation:

We have, 15% × x = 42

or,

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Multiplying both sides by 100 and dividing both sides by 15,

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If you are using a calculator, simply enter 42×100÷15, which will give you the answer.

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