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
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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.
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)}
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 x + 3log8 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
Solve the equation. =
+
A. 6
B.
C.
D. -