Answer:
P ( -1, -3)
Step-by-step explanation:
Given ratio is AP : PB = 3 : 2 = m : n and points A(5,6) B(-5,-9)
We will calculate coordinates of the point P which divides line segment AB in the following way:
xp = (n · xa + m · xb) / (m+n) = (2 · 5 + 3 · (-5)) / (3+2) = (10-15) / 5 = -5/5 = -1
xp = -1
yp = (n · ya + m · yb) / (m+n) = (2 · 6 + 3 · (-9)) / (3+2) = (12-27) / 5 = -15/5 = -3
yp = -3
Point P( -1, -3)
Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.
<h3>What are the exponential functions?</h3>
The given exponential functions, f(x) and g(x), are respectively given by:
When x < 0, one possible value is x = -1, hence evaluating the functions at these values:


, hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.
More can be learned about exponential functions at brainly.com/question/25537936
6 is your answer, hope it helped