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__yrty0513191737__f1q44g6.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: 63.6; System 2: 94.4
B. System 1: 79.8; System 2: 79
C. System 1: 44.2; System 2: 53
D. System 1: 77.2; System 2: 76

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Answer: B

Mathematics

Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x.1/g2(x), x = 4

A. - 
B.
C.
D. - 

Solve the problem by guessing and adjusting.Ramon spent twice as long on his English homework as he did on his History homework. If he spent 60 minutes on the two combined, then how long did he spend on his History homework?

A. 10 minutes B. 12 minutes C. 40 minutes D. 20 minutes

For the following question(s), refer to the digraph below. Vertex D is

A. incident to vertex E only. B. incident to vertex C only. C. incident to vertex A, B, C, and E. D. incident to vertices C and E. E. none of these

Find the reciprocal.

A. 1
B.
C. 5
D. 0