John has 15 more baseball cards than michael. together they have a total of 55 cards. how many cards does michael have?

Find csc x if sin x + cot x cos x =√3 a. 9 b. 3 c. √(3)/2 d. √(3)

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Determine if the function below is continuous. a. continuous b. not continuous, 1 hole c. not continuous, > 2 holes d. not continuous, 2 holes