Answer:

Step-by-step explanation:
we know that
The tangency point on the x-axis is (r,0)
The tangency point on the y-axis is (0,r)
Find the slope of the line containing the points of tangency

Remember that the equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have


substitute

The hot dogs remaining are decreasing by 11 as 2 minutes go by.
11 / 2 = 5.5
So he's eating 5.5 hot dogs per minute.
Minutes 2 4 6 8 9
Hot dogs remaining 49 38 27 16 5
Step-by-step explanation:
if three(3) is not less than x, this means it's more than x so it'll be 3+x
Whatever is inside parentheses first [g(x)], is what you would evaluate first, then after that, you would substitute that answer into the f(x) function for EVERY "X" YOU SEE:
[2x² + 5]² + [2x² + 5] + 2
[2x² + 5]² + [2x² + 7]↓
This is your final answer. You get it?