Suppose the series σ cn xn has radius of convergence 2 and the series σ dn xn has radius of convergence 3. what is the radius of convergence of the series σ (cn + dn)xn?

Find the greatest common factor of the polynomial: 10x^5+15x^4-25x^3 10x^5 x^3 5x^3 5

The hawaiian alphabet has 12 letters. how many permutations are posible for each number of letters?

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part 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 (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)