An influencer is planning a lunch banquet. The equation C= + g models the relation between the cost in dollars, C, of the lunch banquet and the number of guests, g.Find the cost if the number of guests is .

Find the domain and range of the function  f ( x ) = – 1 – 7 x . The domain is  x ∈  (Enter your answer in interval notation) The range is  y ∈  (Enter your answer in interval notation)  

John is setting up a daycare company. The expenses include 50 dollars for each child he accepts for insurance and supplies. He also must pay 310 dollars to rent the space. Let Y be the total cost, and c be the number of children he accepts. Write an equation that represents John’s total costs:  

Miranda is going to throw a ball from the top floor of her apartment building. The function   h ( t ) = − 16 t 2 + 32 t + 128   models the height, h , of the ball above the ground as a function of time, t . Find the time(s) when the ball’s height is 128 feet. The ball has a height of 128 feet when t=    seconds. (If there is more than one answer, express your answers separated by commas and no spaces.) The ball hits the ground at t=    seconds.

Find the intersection point(s) of the lines with equations: – 4 x – 10 y = 9 – 3 x + 3 y = 9 The intersection point is (Enter your answer as an ordered pair in reduced fraction form if necessary. Enter DNE if no solution exists.)

Colleen gets a gift card with a value of $60, and her favorite drink (a peanut butter pumpkin spice latte) costs $5.35 (including tax). How many peanut butter pumpkin spice lattes can she buy with the gift card? Let x represent the number of peanut butter pumpkin spice lattes. Write the inequality that represents the maximum number of peanut butter pumpkin spice lattes that Colleen can buy with her gift card:   Use >=, respectively. Find the number of peanut butter pumpkin spice lattes Colleen can buy: Colleen can buy (enter less than or more than) (enter number) espressos.

Rationalize the numerator and simplify: 10 x – 6 + 6 x + 5 4 x – 10 =

In the graph provided,  R ( x )  (solid) shows the revenue a bicycle company makes when x bikes are sold, and  C ( x )  (dashed) is the cost the company incurs for each bike sold. Graph Approximately how many bikes must the company sell to break even?

The area of a rectangle is given by 5 x 3 + 15 x 2 – 22 x – 2 . The width of the same rectangle is given by x+4. Find the length of the rectangle. Remember, the the length times the width of a rectangle is equal to its area. The length of the rectangle is  (If there is a remainder r , express it in the form r/(x+4) .)

Audio example #11 is which piece from the list of musical selections below? undefined?Kq3cZcYS15=f82bf6ac01114d478c258570ea1debcd&VxJw3wfC56=1764205653&3cCnGYSz89=7DW5ifcQiC3rJoX6y9HglBIPoxlHj6WUDgb%2Fvjy7ibQ%3D