Suppose events a, b,c, d are mutually independent. show that events ab and cd are independent. justify each step from the definition of mutual independence.

After being rearranged and simplified, which of the following equations could be solved using the quadratic formula? check all that apply. a. 9% + 3x2 = 14 + x-1 b. -x+ + 4x + 7 = -32-9 c. 5x + 4 = 3x4 - 2 d. 2x2 + x2 + x = 30

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 4x^2 - 19x- 5

15 points what is the end behavior of this graph? & what is the asymptote of this graph?