Let . Define an operation  as . Check the commutative and associative properties.

?
It is __________ (commutative but not associative, associative but not commutative, neither commutative nor associative, associative and commutative).

Fill in the blank(s) with the appropriate word(s).


neither commutative nor associative

Mathematics

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Use Cramer's rule to find the solution of the system, if possible. ? ?

A.
B.
C.
D. The system is inconsistent.
E. The equations are dependent.

Mathematics

Solve the system.2x - 2y + 3z = -9  x + 2y - z = 10  2y + z = 7

A. {(1, 4, -1)} B. ? C. {(-1, 4, 3)} D. {(1, 17, -17)}

Mathematics

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.) ? ?

A. 3log8 x3log8 y + 3log8 z
B. 3log8 x + 3log8 y - 3log8 z
C.
D. 3log8 x - 3log8 y - 3log8 z
E. 3log8 x - 3log8 y + 3log8 z

Mathematics

Solve the equation. =  + 

A. 6
B.
C.  
D. -  

Mathematics