The values of a, b, and c of a quadratic equation written in standard form are 2, 5, and -3, respectively. Another quadratic equation, 2x2 = 5x -3 . Do you agree that the two equations have the same roots? Justify and explain your answer clearly.

Nikolas calculated the volume of the prism. his work is shown below.

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups

(50 points) drag each description to the correct location on the table. each description can be used more than once. some systems of equations and their graphs are given in the table. for each system, place the description(s) in the box that correctly describe the type of system shown. :