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Mathematics

1 answer:

UNO [17]3 years ago

7 0

9514 1404 393

Answer:

(2x +y)(2x -y +6)

Step-by-step explanation:

The shaded area is the difference of the areas of the outer square and the inner square. In turn, those areas are the square of the edge dimension of the square. So, the shaded area is the difference of squares:

area = (2x +3)² -(y -3)²

The difference of squares is a "special product" in that it has a factored form that is worth remembering.

a² -b² = (a -b)(a +b)

Using this form for our area, we have ...

area = ((2x +3) -(y -3))((2x +3) +(y -3))

area = (2x -y +6)(2x +y)

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In 2000, the population of Snowy Egrets went from 5,000 individuals to 15,000 individuals. What is the growth rate over those 4

finlep [7]

Answer:

$x=\sqrt[4]{3}-1$ or $x=0.316$

Step-by-step explanation:

To write this equation you would need to use this equation for growth.

Final amount=initial amount (1+growth rate)^time

We have the final amount, 15,000, the initial amount, 5,000, and the time, 4 years. Now we have to plug in the values. We can write the growth rate as x.

$15,000=5000(1+x)^4$