So far, all the expressions you have applied this method to have had a coefficient of 1 on the x2 term. That is a requirement for completing the square. When faced with an expression that does not meet this requirement, you must factor to make it true before applying this method. One important note is that to move a value outside of a parenthesis, it must be multiplied by the same value multiplying the parenthesis. With this note in mind, use the method of completing the square to solve the quadratic equation -2x2 + 12x = 5.

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 sixth grade art students are making a mosaic using tiles in the shape of right triangles.each tile has leg measures of 3 centimeters and 5 centimeters.i f there are 200 tiles in the mosaic what is the area of the mosaic.

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.