Name Mixed Review Sections 5
... You have decided to take drum lessons so that you can join a band. There is a cost per lesson plus a onetime fee. The cost for 10 lessons is $125 and the cost of 16 lessons is $317. a) Identify your variables. b) Use the context of the problem to write the two ordered pairs. ...
... You have decided to take drum lessons so that you can join a band. There is a cost per lesson plus a onetime fee. The cost for 10 lessons is $125 and the cost of 16 lessons is $317. a) Identify your variables. b) Use the context of the problem to write the two ordered pairs. ...
Math 060 WORKSHEET
... 3.) Is it true that two arbitrary lines must intersect at a common point? 4.) Is it true that two arbitrary lines may intersect at more than one point? In this section we will answer these questions. A solution to a system of linear equations is an ordered pair that satisfies each equation in the sy ...
... 3.) Is it true that two arbitrary lines must intersect at a common point? 4.) Is it true that two arbitrary lines may intersect at more than one point? In this section we will answer these questions. A solution to a system of linear equations is an ordered pair that satisfies each equation in the sy ...
Review/Outline Frobenius automorphisms Other roots of equations Counting irreducibles
... ϕ(10) = ϕ(2 · 5) = (2 − 1) · (5 − 1) = 4 ϕ(12) = ϕ(22 · 3) = (2 − 1)2 · (3 − 1) = 4 ϕ(15) = ϕ(3 · 5) = (3 − 1) · (5 − 1) = 8 ϕ(30) = ϕ(2 · 3 · 5) = (2 − 1) · (3 − 1) · (5 − 1) = 8 ϕ(100) = ϕ(22 · 52 ) = (2 − 1)2 · (5 − 1)5 = 40 ...
... ϕ(10) = ϕ(2 · 5) = (2 − 1) · (5 − 1) = 4 ϕ(12) = ϕ(22 · 3) = (2 − 1)2 · (3 − 1) = 4 ϕ(15) = ϕ(3 · 5) = (3 − 1) · (5 − 1) = 8 ϕ(30) = ϕ(2 · 3 · 5) = (2 − 1) · (3 − 1) · (5 − 1) = 8 ϕ(100) = ϕ(22 · 52 ) = (2 − 1)2 · (5 − 1)5 = 40 ...
