Mega millions is a national lottery that is played as follows: you pick five different numbers from 1 to 70 then one number from 1 to 25. the mega millions web site lists odds ("chances") of winning, which in each case is listed as "1 in n" for some number n. in each case, these are essentially the fractions number of winning possibilities . number of possible lottery tickets (a) verify that the chances given on the page for winning the jackpot ("1 in 302,575,350") is correct using this rationale. this basically means: verify that the number of possible lottery tickets is 302, 575, 350.

Write the equation of a line that is perpendicular to the given line and that passes through the given point. –3x – 6y = 17; (6, 3) y = x – 9 y = 2x – 9 y = –2x – 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y – 5 = (x – 1). the relationship is not linear. the relationship is linear; y – 5 = (x – 1). the relationship is linear; y – 1 = (x – 5). write an equation in point-slope form for the line through the given point with the given slope. (–10, –1); m = y + 10 = (x + 1) y – 1 = (x – 10) y – 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | – 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x – 5.5 | y = | x | – 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | – 8 y = | x | + 8 y = | x – 8| y = | x + 8|

Simplify the given expression leaving the answer in improper fraction form. 2/3+5/6

What are the solutions for the following system? -2x^2+y=-5 y=-3x^2+5