MODELING WITH MATHEMATICS A farmer plants a garden that contains corn and pumpkins. The total area (in square feet) of the garden is modeled by the expression 2x2 + 5x + 4. The area of the corn is modeled by the expression
x2 – 3x + 2. Write an equation in standard form that models the area A of the pumpkins.

The equation in standard form that models the area A of the pumpkins is x² + 8x + 2

From the question, we are given the following parameters

Area of the garden = 2x² + 5x + 4

Area of the corn = x² – 3x + 2

To get the area A of the pumpkin, we will take the difference in the areas as shown:

A = Area of garden - Area of corn

A = (2x² + 5x + 4) - (x² – 3x + 2)

A = 2x² - x² + 5x + 3x + 4 - 2

A = x² + 8x + 2

Hence the equation in standard form that models the area A of the pumpkins is x² + 8x + 2

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The equation in standard form that models area of pumpkins is:

and the area is:

Step-by-step explanation:

Given that the garden has corn and pumpkins

The expressions are:

Total area of garden:

Area of Corn:

Area of Pumpkins:

The sum of areas of corn and pumpkins is the total area of the garden.

It can be expressed mathematically as:

If we have to find the area of pumpkins,

Putting the values

The equation in standard form that models area of pumpkins is:

and the area is:

ab: 2 n83b8eb7ebi. 8e yen in

b

step-by-step explanation:

the word superfluous means unnecessary