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 
meaning "followed by." Thus, ![]()
data-wiris-created="true" src="https://sciemce.com/media/3/ppg__cognero__5.1_Natural_Numbers__media__b7a05c3d-45f5-4d96-a61f-68bd26c98133.PNG" style="vertical-align:middle;" /> means "left face" followed by "left face" and is the same as the single command "about face." Does the set H and operation satisfy the associative property?
?
A. no
B. yes
Answer: B
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Factor the trinomial.54 + 15x + x2
A. (x + 9)(x + 6) B. (x - 9)(x - 6) C. (x - 9)(x + 6) D. (x + 54)(x + 1)
Factor out the GCF.x9y8 - x9y7 + x7y5 - x6y5
A. x5y5(x3y3 + x3y2 + x + 1) B. x6y5(x2y3 - x2y2 + xy - 1) C. x6y5(x3y3 - x2y2 + x - 1) D. x6y5(x3y3 - x3y2 + x - 1)
Solve the problem.A gas company has the following rate schedule for natural gas usage in single-family residences:Monthly service charge$8.80Per therm service charge1st 25 therms$0.6686/thermOver 25 therms$0.85870/thermWhat is the charge for using 25 therms in one month?What is the charge for using 45 therms in one month?Construct a function that gives the monthly charge C for x therms of gas.
What will be an ideal response?
Find 
.
?
What will be an ideal response?