Business Email The average number of email messages sent and received per corporate user per day in year t between 2011 (t = 1) and 2015 (t = 5) is projected to be f(t) = 3t + 69 (1 ≤ t ≤ 5). The average number of spam emails sent per corporate user per day for the period under consideration is projected to be g(t) = −0.2t + 13.5 (1 ≤ t ≤ 5). (a) Find a function, h, giving the projected average number of legitimate (non spam) emails sent and received per corporate user per day in year t. Hint: h(t) = f(t) − g(t).

Look at the following graph of the given equation. determine whether the equation is a function. explain why or why not.

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?

Use the following statements to write a compound statement for the conjunction or disjunction. then find its truth value. p: an isosceles triangle has two congruent sides. q: a right angle measures 90° r: four points are always coplanar. s: a decagon has 12 sides. a) a right angle measures 90° or an isosceles triangle has two congruent sides; true. b) a right angle measures 90° and an isosceles triangle has two congruent sides; true. c) a right angle measures 90° and an isosceles triangle does not have two congruent sides; false. d) a right angle measures 90° or an isosceles triangle does not have two congruent sides; true.