Solve. 10 z – 4 + 3 z – 3 = 7 z – 2 z 2 – 7 z + 12 z = Enter your answer as a reduced fraction if necessary.

Use the set of ordered pairs to determine whether the relation is a function. Then find the domain of the relation, and the range of the relation. {(-5, 6), (-2, -4), (-1, 5), (-1, -5), (8, 3)} Is the relation a function?    (enter yes or no) The domain of the relation is {}. (Enter the domain elements in numerical order (least to greatest) and separated by commas without spaces.) The range of the relation is {}.   (Enter the range elements in numerical order (least to greatest) and separated by commas without spaces.)

Solve. z 2 + 17 3 z + 3 = 0 z=  (Express your answer in radical form. If no real solution exists, enter DNE.)

Find the equation of the line through the point (7,−9) that is perpendicular to the line with equation y = – 12 7 x + 15 . The equation is (Be sure to enter your answer as an equation)

Rewrite using a rational exponent. Assume all variables are positive. a 3 b 9 5 =

Evaluate each logarithm using the other properties of logarithms.log() =

Simplify. Assume all variables are nonnegative. ( 4 5 z 4 ) ( 2 2 z 4 ) =

Write with a rational exponent. You do not need to expand powers of coefficients. ( 3 x 4 b ) 3 4 =

You can afford to spend no more than 105dollars per month on a high speed data plan. If your high speed data plan costs 30 dollars per month, plus 5 dollars per gigabyte downloaded how many gigabytes can you afford to download? Let x represent the number of gigabytes. Write an inequality that represents the number of gigabytes you can afford to buy:   Use >=, respectively. You can afford to download (enter at least or at most) (enter number) games.

A blogger earns R ( x ) = 4 x + 0 . 021 x 2  in revenue, where x is the number of subscribers and has a cost of C ( x ) = 2250 + 6 x . Let P ( x )  be the profit when there are x subscribers. Write a function giving the blogger’s profit when there are x subscribers. P(x) = The blogger needs at least subscribers to break even.