Joseph owns a hot dog stand and sells specialized hot dogs. he charges $1.50 for a plain hot dog and then an additional $0.50 for each topping that you want. this can be modeled by the equation c = .5x + 1.5, where c is the total cost of the hot dog and x is the number of toppings you ordered. hattie sells hamburgers at the stand next door and has the same basic cost except she charges $2.50 for a plain hamburger and then $0.25 for each additional topping. how should she change joseph's cost equation to represent her hamburger cost?

Triangle abc was translated 2 untits to the right and 3 units down. write the algebraic rule that describes the translation that was applied to triangle abc to create triangle a'b'c'.

Aconcession manager at yankee stadium wants to know how temperature affects beer sales. she took a sample of 10 games and recorded the number of beers sold and the temperature in the middle of the game. temperature 80 68 78 79 87 74 86 92 77 84 number of beers 20533 1439 13829 21286 30985 17187 30240 87596 9610 28742 a. draw a scatter plot of the data. b. the manager estimates the regression equation to be: numberofbeers = −100, 678 + 1, 513 ∗ temperature draw this on your scatter plot. c. for one of the estimated points, indicate the residual with ei . d. for that same point, indicate what part of the variation is explained by the model with ˆyi − y¯.

State how many imaginary and real zeros the function has. f(x) = x3 - 20x2 + 123x - 216