Solve the problem.The final grade for an algebra course is determined by grades on the midterm and final exam. The grades for four students and two possible grading systems are modeled by the following matrices.  

src="https://sciemce.com/media/4/ppg__10624191842__f1q224g6.jpg" style="vertical-align: -15.0px;" />Find the final course score for Student 3 for both grading System 1 and System 2.

A. System 1: 81.5; System 2: 80.5
B. System 1: 64.9; System 2: 96.1
C. System 1: 44.2; System 2: 53
D. System 1: 77.2; System 2: 76

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Answer: A

Mathematics

Solve the problem.In a survey, people are asked to rank 6 issues such as the economy and the environment in order of importance. Replies are filed in folders, and two replies are put in the same folder if and only if they give the same ranking to all 6 issues. Find the maximum number of folders that might be needed.

A. 720 B. 6 C. 5040 D. 36

Simplify the complex fraction.

A.
B.
C. 45y(y + 8)
D.

Write in simplified form and list all restrictions on the domain.f(x) = 

A. f(x) = , x ? 8
B. f(x) = - , x ? 8
C. f(x) = - , x ? -8
D. Cannot simplify

Provide an appropriate response.Two supermarkets, R and C, want to run a promotional on the same item. A market research firm provided the payoff matrix below, where each entry indicates the percentage of customers going to market R at the indicated prices of that item. Find the saddle value, and the optimum strategy for each store. Store C Store R   

A. 60%; R sells the item at $1.85, C sells the item at $1.55. B. 50%; R sells the item at $1.85, C sells the item at $1.55. C. 50%; R sells the item at $1.55, C sells the item at $1.85. D. 60%; R sells the item at $1.55, C sells the item at $1.85.