Solve the system by using Gaussian elimination with backward substitution or by reducing the matrix to reduced-row echelon form. x- y+ 4z= -13x+ z= 0 x+ 2y+ z= 2

A. (0, 1, 0)
B. No solution
C. (0, 0, 1)
D. (0, 1, -1)


Answer: A

Mathematics

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Provide an appropriate response.Let f(x) = (x - 8)2/3 (a) Does f'(8) exist? (b) Show that the only local extreme value of f occurs at x = 8. (c) Does the result of (b) contradict the Extreme Value Theorem? (d) Repeat parts (a) and (b) for f(x) = (x - c)2/3.Give reasons for your answers.

What will be an ideal response?

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Find the real or imaginary solutions by completing the square.z2 + 12z + 25 = 0

A. {6 + }
B. {-12 + }
C. {6 ± }
D. {-6 ± }

Mathematics

Provide an appropriate response.List the following numbers in descending order: 465, 654, 456, 564, 645, 546:

A. 456, 465, 546, 564, 645, 654 B. 645, 654, 546, 564, 465, 456 C. 654, 456, 564, 546, 645, 465 D. 654, 645, 564, 546, 465, 456

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Give the equation of the slant asymptote, if any, of the function.f(x) = 

A. y = x + 12 B. x = y + 12 C. none D. y = x + 2

Mathematics