1 Explain in complete sentences. in why the equation has two solutions. Then solve the equation to find the solutions. ( + 3) ^2 + 8 = 72

2 This is Mrs. Galicia’s solution for the equation ^2 − 8 − 9 = 0:
^2 − 8 − 9 = 0
^2 − 8 = 9
^2 − 8 + 16 = 9 + 16
( − 4)^2 = 25
− 4 = 25 = 29
− 4 = −25
= −21
Is Mrs. Galicia’s solution correct? Explain in complete sentences.

3 Use the quadratic formula to solve 2 ^2 − 5 − 12. Show your work. Then describe the solution.

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 ratio of men to women working for a company is 4 to 5 . if there are 90 women working for the company, what is the total number of employees?

What is the result of the following division?