Winning the jackpot in a particular lottery requires that you select the correct five numbers between 1 and 35 and, in a separate drawing, you must also select the correct single number between 1 and 22. Find the probability of winning the jackpot. The probability of winning the jackpot is:

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.

Complete the input-output table for the linear function y = 3x. complete the input-output table for the linear function y = 3x. a = b = c =