Perform the following operations and prove closure. show your work.
1. x/x+3 +x+2/x+5
2. x+4/x^2+5x+6• x+3/x^2−16
3. 2/x2−9 − 3x/x^2−5x+6
4. x+4/x^2−5x+6 ÷ x^2−16/x+3
5. compare and contrast division of integers to division of rational expressions.

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

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza. patients with influenza age range number of sick patients 25 to 29 30 to 34 35 to 39 40 to 45 which dot plot could represent the same data as the frequency table? patients with flu

When the ball has traveled a distance of