You and two of your friends go to eat pizza together. There are two deals:
10% off of 1 pizza
30% off of 3 pizzas
Do you want to each pay separately and get 10% off of your bill or do you want to split the bill 3 ways and get 30% off of 3 pizzas?

Write a paragraph that convinces your teacher which one is the better deal. Show all of the math involved in your calculations.

Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.

How many and of which kind of roots does the equation f(x)=2x^4−9x^3+17x^2−16x+6 have?

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.