By equating both quadratic equations, Brian can determine the point of intersection of both equations. Upon graphing he was able to identify that both share the same vertex but of opposite opening. Based on this, he can say that both equations are equations of parabolas with same vertex but open on different directions.
The balance will be 75 dollars.
Because August is the month in which her annual fee for her credit card charges and she only paid 45 dollars which is for the annual fee. The 75 dollars that she purchased is not yet paid.
A bag has 5 red marbles, 6 blue marbles and 4 black marbles
so total no. of marbles = 5 + 6 + 4 = 15
now probability of picking a black marble = 4/15
after replacement again probability of picking black marble is 4/15
it is given that black marble is picked two times
so probability of picking black marble two times or picking , replacing , and then picking is 4/15*4/15 = 16/225