If f(x) and g(x) are differentiable functions such that f (1 )equals 4, f prime (1 )equals 5, f prime (9 )equals 6, g (1 )equals 9, g prime (1 )equals 8, g prime (2 )equals 9, g prime (5 )equals 10, find StartFraction d Over dx EndFraction f (g (x ))vertical line Subscript x equals 1 Superscript .

Find the measures of the complement and the supplement of each angle, m

Lindsay used two points, (x, y; ) and (+2.82), to find the equation of the line, y = mx + b, that passes through the points. y2-y, first, she used the definition of slope and determined that the value of mis x, - . given this information, which expression must represent the value of b?

Aclassroom is made up of 11 boys and 14 girls. the teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). if the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?