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Chapter 6: Problem 22
Evaluate the algebraic expression for the given value or values of the variables. \(6+5(x-6)^{3} ; \quad x=8\)
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Determine whether each statement makes sense or does not make sense, and explain your reasoning. I simplified \(\frac{3+2 \sqrt{3}}{2}\) to \(3+\sqrt{3}\) because 2 is a factor of \(2 \sqrt{3}\).
Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-2 x-15\)
Solve each equation by the method of your choice. \(3 x^{2}-6 x-3=12-6 x\)
Solve the equations using the quadratic formula. \(x^{2}-x=14\)
The formula$$N=\frac{t^{2}-t}{2}$$describes the number of football games, \(N\), that must be played in a league with \(t\) teams if each team is to play every other team once. Use this information to solve. If a league has 45 games scheduled, how many teams belong to the league, assuming that each team plays every other team once?
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