Answer:
The formula for exponential growth is f(x)=a(1+r)^x, where a is the initial amount/number, r is the growth rate, and x is the number of years/month/etc. The problem tells us that the initial area is 4500. Every year, it decreases by 7.25%, which is technically -0.0725. "t" is the time. Therefore, we plug in those values into the formula. Then, we have:
f(x) = 4500(1-0.0725)^t
f(x) = 4500(0.9275)^t.
Total: 160, Left:100 Right:60
The value of a2 will be I dont care
Question 1: Option B: 
Question 2: Option D: 
Solution:
Question 1:
The point on the given line are (2, 4) and (4, –2).
Slope of the given line:


m = –3.
Slope of perpendicular line = –1 ÷ Slope of the given line
Slope of perpendicular line = 
Perpendicular line passing through the point (3, 1).
Slope -intercept form using point slope formula,




Option B is the correct answer.
Question 2:
The point on the given line are (0, –3) and (2, 3).
Slope of the given line:


m = 3.
Slope of parallel lines are equal.
Slope of parallel line =3
parallel lines passing through the point (–1, –1).
Point slope formula:


Option D is the correct answer.
Answer:
6x^2 - 2
Step-by-step explanation:
plug in f(x) into the g(x) formula given
g(f(x)) = (3x)^2 + 1
simplify
= 9x^2+2
plug in g(x) into the f(x) formula given
f(g(x)) = 3(x^2+1)
distribute
= 3x^2 +3
set g(f(x)) - f(g(x))
(9x^2+2) - (3x^2+3)
carry the negative
9x^2+2-3x^2-3
simplify by combining like terms
6x^2-2