Let s be the subset of the set of ordered pairs of integers defined recursively by: basis step: (0, 0) ∈ s. recursive step: if (a, b) ∈ s, then (a, b + 1) ∈ s, (a + 1, b + 1) ∈ s, and (a + 2, b + 1) ∈ s. a) list the elements of s produced by the first four applications of the recursive definition. b) use strong induction on the number of applications of the recursive step of the definition to show that a ≤ 2b whenever (a, b) ∈ s. c) use structural induction to show that a ≤ 2b whenever (a, b) ∈ s.

Describe a situation that you could represent with the inequality x< 17

Someone answer this asap for gabriella uses the current exchange rate to write the function, h(x), where x is the number of u.s. dollars and h(x) is the number of euros, the european union currency. she checks the rate and finds that h(100) = 7.5. which statement best describes what h(100) = 75 signifies? a. gabriella averages 7.5 u.s. dollars for every 100 euros. b. gabriella averages 100 u.s. dollars for every 25 euros. c. gabriella can exchange 75 u.s. dollars for 100 euros. d. gabriella can exchange 100 u.s. dollars for 75 euros.

Will mark ! (10 points also! ) if x varies inversely with y and x =6 when y= 10, find y when x=8 a. y=4.8 b. y=7.5 c. y=40/3 d. y=4/15