Let a and b be two integers such that a^3 + ab^2 + b^3 = 0. (a) Prove algebraically that if a is even, b must also be even.
(b) Prove algebraically by contradiction that a cannot be odd

Larry bar opened a frame shop and completed these transactions: larry started the shop by investing $41,100 cash and equipment valued at $19,100 in exchange for common stock. purchased $180 of office supplies on credit. paid $2,300 cash for the receptionist's salary. sold a custom frame service and collected $5,600 cash on the sale. completed framing services and billed the client $310. what was the balance of the cash account after these transactions were posted?

Determine the difference: 3.2 × 1010 – 1.1 × 1010. write your answer in scientific notation.

How do you determine whether a relationship represented as as graph is linear or nonlinear