Answer:
In 2010 the population become 206,123,000.
Step-by-step explanation:
Consider the provided equation.
Where P represents the population in millions.
We need to determine the year in which the country had population of 206,123,000.
As P is in millions so divide 206,123,000 by one million.
Substitute P = 206.123 in above equation.
30 year from 1980 the population become 206,123,000.
In 2010 the population become 206,123,000.
a. Find the graph of their common region in the attachment
b. The area of the common region of the graphs is 8 units²
<h3>a. How to sketch the region common to the graphs?</h3>Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.
So, the graph of x + y ≤ 6 is the region below the line y = - x + 6
From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)
Find the graph of their common region in the attachment
<h3>b. The area of the common region</h3>From the graph, we see that the common region is a right angled triangle with
So, its area = 1/2 × height × base
= 1/2 × 4 units × 4 units
= 1/2 × 16 units²
= 8 units²
So, the area of the common region of the graphs is 8 units²
Learn more about region common to graphs here:
#SPJ1
