If a quadratic equation has a negative leading coefficient and a discriminant of -40, which of the following is true? 1. The graph will be a parabola that opens down and does not touch the x-axis.

2. The graph will be a parabola that opens up and does not touch the x-axis.

3. The graph will be a parabola that opens down and touches the x-axis once.

4. The graph will be a parabola that opens down and touches the x-axis twice.

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

The sum of two numbers is 86, and their difference is 20. find the two numbers

How many real-number solutions does the equation have? -4x^2 + 10x + 6 = 0 a. no solutions b. two solutions c. infinitely many solutions d. one solution