Solve the problem using matrices.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__tttt0526190933__f1q86g6.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: 61.1; System 2: 110.9
B. System 1: 87.8; System 2: 86
C. System 1: 77.8; System 2: 76
D. System 1: 39.8; System 2: 53

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Answer: B

Mathematics

Find an upper bound for the magnitude |E| of the error in the approximation f(x, y) ? L(x, y) at the given point over the given region R. at ; R: |x - 1| ? 0.1, |y + 2| ? 0.1, |z - 3| ? 0.1

A. |E| ? 0.63 B. |E| ? 0.84 C. |E| ? 0.42 D. |E| ? 0.56

Fill in the blank with one of the words or phrases listed below. In the equation y = 4x -2, the coefficient of x is the  of the corresponding graph.

A. linear function B. function C. slope D. slope-intercept

Combine like terms when possible and write the polynomial in descending powers of the variable. Give the degree of the simplified polynomial. Decide whether the simplified polynomial is a monomial, a trinomial, or none of these.6x6 + 6x4 - 2x6

A. 10x4; 4; monomial B. 10x16; 16; monomial C. Cannot be simplified D. 4x6 + 6x4; 6; binomial

The given point is on the graph of y = f(x). Find a point on the graph of y = g(x).g(x) = 2f(x); (2, 4)

A. (4, 4) B. (1, 4) C. (2, 8) D. (5, 1)