Perform the indicated arithmetic operations for complex numbers z = −4 + 5i and w = −1 − 2i.
a. z + w
b. z − w
c. z + 2w
d. z − z
e. explain how you ad and subtract complex numbers.

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.