A curve has the equation y= 2 - 5x - 3x^2. (i) Find the values of a, b and c for which y= a- b(x + c)^2 (ii) State the maximum value of y and the corresponding value of x. (iii) Sketch the graph of y= 2-5x-3x^2 for -2.5<= x <= 1, indicating clearly the coordinates of the maximum point and points of intersection with the axes. (iv) State the set of values of p for -2.5<= x <= 1, where the equation y=p has (a) 2 solutions (b) no solution (c) 1 solution​

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?

Abox holds 500 paperclips. after a week on the teacher's desk 239 paperclips remained. how many paperclips were used?

Which of the following statements is a true conclusion that can be made from the scaled bargraph?