Determine whether the given statement is true or false. justify. a) there exists a positive integer n such that+5n is prime. b) there exists a positive integer n such that +5n + 8 is prime. c) there exists a positive integer n such that n+ 5n+9 is prime. d) there exists infinitely many positive integers n such that+57 is composite. e) for all positive integers n, n+21n+ 1 is prime.

The answer here would be 10

First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.