Solve each given equation and show your work. tell whether it has one solution, an infinite number of solutions, or no solution, identify each equation as an identify, a contradiction, or neither

a) 20-4x=12-x+8-3x

b) 5x+4x-3=24+8x

c) 5x+6=2x+6+3x-15

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

Joanie watched 1 out of three of a movie in the morning

Find the condition that the zeros of the polynomial f(x) = x^3+3px^2+3px+r may be in a.p.