A local gym has two different fees for their yoga classes. Members of the gym are charged a one-time membership fee of $12 and pay $8 per yoga class. Nonmembers do not pay a membership fee, but they pay $12 per class. How many yoga classes do nonmembers and members have to attend for their costs to be the same?

Translate the word phrase into a math expression. 15 fewer than the product of 4 and a number. (pls immediately)

Solve 3x-18=2y and 5x-6y=14 by elimination or substitution . show all !

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)