Consider a population that grows according to the recursive rule P
n
=
P
n
−
1
+
30
, with initial population
P
0
=
40
.

Then:

P
1
=
159

P
2
=

Find an explicit formula for the population. Your formula should involve
n
(use lowercase n)

P
n
=

Use your explicit formula to find
P
100

P
100
=

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

14.29%

step-by-step explanation: