The augmented matrix is in row-echelon form and represents a system of linear equations. Solve the system using back-substitution.

A. {(3 - z, -9 + z, z)}
B. {(3, -9, z) }
C. {(3 + 6z, -9 - 2z, z)}
D. {(3 - 6z, -9 + 2z, z)}


Answer: D

Mathematics

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Express the given function as a composite of functions f and g such that y = f(g(x)).y =  + 8

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C. f(x) = , g(x) =  + 8 
D. f(x) = x + 8, g(x) = 

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Find all the complex roots. Write the answer in the indicated form.The complex cube roots of 8i (rectangular form)

A. -2i,  + i, -  + i
B. 2i,  + i, -  + i
C. -2i, -  - i,  - i
D. 2i,  - i, -  - i

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Find the standard form of the equation of the following conic section.center (0, ); r = 

A. x2 + (y - )2 = 
B. x2 + (y - )2 = 
C. x2 + (y + )2 = 
D. x2 + (y + )2 = 

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Solve.The number of books in a small library increases according to the function  where t is measured in years. How many books will the library have after 10 year(s)?

A. 6689 B. 2905 C. 18,337 D. 10,890

Mathematics