Amanufacturing unit currently operates at 80 percent of its capacity. the profit function for the unit at the optimum output, x, is given by p(x) = -0.1x2 + 80x − 60.
if the function f(x) models the current capacity of the unit, the composite function giving the unit's current profit function is ? if the optimum output is 500 units, the current profit is $.

How do i simply this expression (quadratic formula basis) on a ti-84 or normal calculator?

The midpoints of the sides of the large square are joined to form a smaller square. what is the area of the smaller square

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?