Consider a soldier facing in a given direction (say north). Let us denote "left face" by l, "right face" by r, "about face" by a, and "stand fast" by f. (The element f means "don't move from your present position." It does not mean "return to your original position.") Then we define
and an operation
middle;" /> meaning "followed by". Thus,
means "left face" followed by "left face" and is the same as the single "about face". Does the set H and operation
satisfy the commutative property?
?
Answer yes or no.
What will be an ideal response?
yes
Mathematics
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Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation ), and factor f(x) into linear factors.f(x) = x3 + 4x2 - 2x - 8
A. -, multiplicity 2; -2; f(x) = (x +
) 2(x + 2)
B. -, multiplicity 2; -
, multiplicity 2; f(x) = (x +
) 2(x +
)2
C. -4, -2, 2; f(x) = (x + 4)(x + 2)(x - 2)
D. -4, -,
; f(x) = (x + 4)(x +
)(x -
)
Mathematics
Subtract.55 - 23
A. 26 B. 32 C. 78 D. 72
Mathematics
Collect like terms.23x + 14 - 7x - 6
A. 16x + 14 - 6 B. 16x + 8 C. 30x + 20 D. -16x + 8
Mathematics
Perform the indicated operation.2 +
A.
B.
C.
D.
Mathematics