Let f(x) = 1 x+1 . Let fn (x) to be the function f composed with itself n times. (For example, f3 (x) = f(f(f(x))).) Using trial and error, conjecture a guess for f n(x) and use mathematical induction to prove that guess. Your guess should be a closed form without any summations in it. The constants/variables that should appear in your guess n and x.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

35 is an outlier

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.