Let the predicatesP, T, andEbe defined below. The domain is the set of all positive integers. P(x) :xis odd. T(x, y) : 2x < yE(x, y, z) :xy2=zIndicate whether each logical expression is a proposition. If the expression is a proposition, then give itstruth value and show your work. If the expression is not a proposition, explain why not.

The table shows the balance of a money market account over time. write a function that represents the balance y(in dollars) after t years.

Aregular pentagon with a perimeter of 21 inches is dilated by a scale factor of 5/3 to create a new pentagon. what is the perimeter of the new pentagon?

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)