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First we consider how to represent an odd number. We know that any even number can be represented as 2k for some integer k since, by definition, all even numbers are multiples of 2. We also know that all ...

P(win 2 out of 2 games) = P(win first game and win second game) = P(win first game)^2. So want to find the probability of winning a game.To win, either we need A odd and B even or we need A even and B odd...

Break this down into two parts.
a. Multiply out the 1st bracket, (2x+3)^2: This goes to (2x+3)(2x+3) which is equal to 4x^2 + 9 +6x+6x . Collect the like terms to get 4x^2 +12x +9.
b. Multiply...

There are two groups of verbs in French which use être in the passé composé rather than avoir. The first group are the reflexive verbs (think of the morning routine verbs se laver, se lever, se doucher) a...

Start by analysing the parts of the function, it's clearly a combination of two functions: f = g(x) / h(x) and drawing them both out.Examine behaviour for -inf. and +inf.Notice a problem in a situation wh...