(06.04) Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences. Courtesy of Texas Instruments

(05.01) Which of the following is the solution to the equation 25(z + 4) = 125?

(06.01 MC) Solve the system of equations below. x + y = 83x + 2y = 21

(06.04 MC) Christopher is analyzing a circle, y2 + x2 = 121, and a linear function g(x). Will they intersect? y2 + x2 = 121 g(x) x g(x) −1 14 0 12 1 10

(07.04 LC) What is the sum of the geometric sequence −3, 18, −108, … if there are 8 terms?

(05.02 MC) Shannon manages a small zoo and she has been analyzing the attendance data. Shannon finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 3x. Shannon also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by g(x) = −x + 4. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents. Courtesy of Texas Instruments

(05.05) Given an exponential function for compounding interest, A(x) = P(.91)x, what is the rate of change?

(07.03 LC) What are the explicit equation and domain for a geometric sequence with a first term of 4 and a second term of −8?

(08.05 LC) In a study of 250 adults, the average heart rate was 70 beats per minute. Assume the population of heart rates is known to be approximately normal, with a standard deviation of 12 beats per minute. What does a margin of error of 2 for the 98% confidence interval of the average beats per minute mean?

(08.02 MC) Arthur is testing the effectiveness of a new acne medication. There are 100 people with acne in the study. Forty patients received the acne medication, and 60 other patients did not receive treatment. Fifteen of the patients who received the medication reported clearer skin at the end of the study. Twenty of the patients who did not receive medication reported clearer skin at the end of the study. What is the probability that a patient chosen at random from this study took the medication, given that they reported clearer skin?