3. The ordered pairs, (1, 3), (3, 6), (5, 9) show the cost of theater tickets. For 1 person, thecost of a ticket is $3, the cost for 3 people is $6 and the cost for 5 people is $9. Which formula,explicit or recursive, would be best to use if you wanted to know the ticket price for 9 people?4. Use the table to graph the values.Which type of function does the table and graph show?Are the output values geometric? Why or why not?

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Answered: 3. The ordered pairs, (1, 3), (3, 6),…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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There is another surprising way of characterizing the ged. For two numbers a and b, we think about all the numbers you can get by adding multiples of a and b together. We can imaging this by thinking of a and b as dollar values of bills and then asking what prices can paid with them. For example, if your country only issues a 6 dollar bill and a 14 dollar bill, can you buy something that costs 10 dollars? Yes - you pay with two 14 dollar bills and get three 6 dollar bills back in change. Can you buy something that costs 15 dollars? No - all the bills are worth an even number of dollars so there is no way to get an odd net transaction. Formulated more abstractly: Let S(a, b) = {na + mb : n, m e Z}. Problem 0.1. If c is a common divisor of a and b then c|s for all s E S(a,b) Problem 0.2. If s e S(a, b) then gcd(a, b)|s. Problem 0.3. If s e S(a, b) then sx e S(a, b) for all a € Z Problem 0.4. If S(a, b) = Z if and only if 1 E S %3D Problem 0.5. The set S(0,0) is {0}. For any other a and b…
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COMBINATIONS 3. Ms Cruz asked Pearl to call two more of her classmates to help her carry their textbooks in class, if there are 12 students in Ms Cruz sections, how many different groups of students could Pearl take with her?
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3. The ordered pairs, (1, 3), (3, 6), (5, 9) show the cost of theater tickets. For 1 person, the cost of a ticket is $3, the cost for 3 people is $6 and the cost for 5 people is $9. Which formula, explicit or recursive, would be best to use if you wanted to know the ticket price for 9 people?