Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality: A) The origin is not included in the shaded region and the shaded area is below the line.
B) The origin is included in the shaded region and the shaded area is above the line.
C) The origin is included in the shaded region and the shaded area is below the line.
D) The origin is not included in the shaded region and the shaded area is above the line.

D: The origin is not included in the shaded region, and the shaded area is above the line.

Step-by-step explanation:

First of all, let's find the shaded region for our given inequality:

y > ⅓x +4

To determine whether the origin is included in the shaded region, let's put in the value of x and y at the origin (0,0)

Plugging in x = 0 and y = 0 into the inequality gives;

0 > ⅓(0) + 4

0 > 4

0 is not greater than 4 like it states and thus it is false

Therefore, we conclude that the point (0,0) which is the origin is not included in the shaded region

In the inequality we have the symbol ">" which means greater than. For that symbol, we usually shade above the line on the inequality graph.

The only option that corresponds to our answers is option D

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)