Answer:
b. The stipend you receive.
Step-by-step explanation:
It would say paid intern if they were paid.
Answer:
Step-by-step explanation:
<u>As per question we have:</u>
- 2(l + w) = 414 ⇒ l + w = 207
- l = 5w - 39
<u>Solve it for l by substitution:</u>
- 5w - 39 + w = 207
- 6w = 207 + 39
- 6w = 246
- w = 246/6
- w = 41
<u>Find l:</u>
Here's the sum rule for the tangent function:

In the special case a=b, this becomes the double angle formula:

In your case, you case use the sum rule once:

And use it again, in the special case of the double angle:

We can obvisouly simplify this expression a lot: let's deal with the numerator and denominator separately: the numerator is

and the denominator is

So, the fraction is

The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.