The equation \(a=50h+50\) represents the amount a that an air-conditioning repair company charges for h hours of labour. Make a table and sketch a graph of the equation
Let g be an element of a group G. If \(|G|\) is finite and even, show that \(g \neq 1\) in G exists such that \(g^2 = 1\)
Given the groups \(R\times\) and Z, let \(G = R×Z\). Define a binary operation \(\circ\) on G by \((a,m)\times(b,n) = (ab,m + n)\). Show that G is a group under this operation.