Old McDonald has a goat to help mow his field. The length the goat can cover in one day can be represented by the expression (2x−11). The width the goat can cover in one day is represented by (3x+5). If Area = length × width, write an expression in terms of x for the area the goat can cover in one day.

Is a positive integer raised to a negative power always positive

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

Point r divides in the ratio 1 : 3. if the x-coordinate of r is -1 and the x-coordinate of p is -3, what is the x-coordinate of q? a. b. 3 c. 5 d. 6 e. -9