You and your friends are going to the annual Boatnik Fair to play games and ride the rides. You are going there with $20, which is unfortunately not enough for a wristband. If every carnival-style game costs $3, and every ride costs $2, how many rides can you go on if you want to play 4 carnival games? What about if you play just 2 carnival games?

Muscles, a membership-only gym is hoping to open a new branch in a small city in pennsylvania that currently has no fitness centers. according to their research approximately 12,600 residents live within driving distance of the gym. muscles sends out surveys to a sample of 300 randomly selected residents in this area (all of who respond) and finds that 40 residents say they would visit a gym if one was located in their area. based on the past survey research, muscles estimates that approximately 30% of these respondents would actually join the gym if they opened one in the area. based on this information and the results of the sample survey, about how many residents should muscles expect to join its new branch? a) 134 b) 504 c) 1,680 d) 3,780

Aportion of a line bounded by two points is defined as

Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.