1. consider the equation ax^2+bx+c=0, where a, b and c are odd integers. prove that if z is a solution to the given equation, then z must be an irrational number. you may assume that sum of two odd integers is even product of two odd integers is odd sum of two even integers is even product of two even integers is even sum of an odd and an even integer is odd product of an odd and an even integer is even

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?