Answer:

Step-by-step explanation:
The equations are:


The two graphs intersect when:



To find the area under the curve for the first equation:

To find the area under the curve for the second equation:

To find the total area:

Simplifying the equation:

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).
Answer: The slope is 
Step-by-step explanation:
The slope of a line can be calculated with the following formula:

Observe the graph provided in the exercise.
You can notice that these two points are on the line:
and 
Then you can identify that:

Knowing these coordinates, you can substitute values into the formula for calculate the slope.
Then, you get that the slope of the graph is:

Answer:
g(2) = -1
Step-by-step explanation:
When x = 2, we can pick the last expression in the g(x) limit, since our x-value matches the criteria of that expression (our x value is equal to 2)
Now we just plug in our x-value and solve for g(x) [in this case, g(2)]
g(2) = 2x - 5
g(2) = 2(2) - 5
g(2) = 4 - 5
g(2) = -1
Answer:
23.8
Step-by-step explanation:
68.4 - 44.6 = 23.8