State the possible number of positive real zeros, negative real zeros, and imaginary zeros for each function.

1. f(x) = ­x^3 ­- x^2 + 14x ­- 24

2. f(x) = 2x^3 -­ x^2 + 16x ­- 5

An equation is shown below: 3(4x − 2) = 1 which of the following correctly shows the first two steps to solve this equation?

Arestaurant needs to buy thirty-seven new plates. if each box has five plates in it, how many boxes will they need to buy?

The amount of calories consumed by customers at the chinese buffet is normally distributed with mean 2743 and standard deviation 652. one randomly selected customer is observed to see how many calories x that customer consumes. round all answers to 4 decimal places where possible. a. what is the distribution of x? x ~ n(correct, correct) b. find the probability that the customer consumes less than 2355 calories. incorrect c. what proportion of the customers consume over 3026 calories? incorrect d. the piggy award will given out to the 1% of customers who consume the most calories. what is the fewest number of calories a person must consume to receive the piggy award? incorrect calories. (round to the nearest calorie)