Prove that if x and y are distinct and positive real numbers then (x/y) + (y/x) > 2. discuss the conditions (on x and y) under which this inequality becomes an equality.

Which statements are true of the graph of h(x) = ^3 square root of x-4 ? check all that apply.the domain of h(x) is the set of all real numbers. the range of h(x) is the set of all real numbers. for all points (x, h( h(x) exists if and only if x – 4 0. the graph of h(x) is a translation of f(x) down 4 units. the graph of h(x) intercepts the x-axis at (4, 0).

Determine the difference: 3.2 × 1010 – 1.1 × 1010. write your answer in scientific notation.

Use sigma notation to represent the following series for 9 terms.