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.

For what values of the variable x is the expression square root of 7x+14+ square root of 7-x a real number?

Needmax recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Molly shared a spool of ribbon with 12 people. each person received 3 feet of ribbon. which equation can she use to find r, the number of feet of ribbon that her spool originally had?