G=Z6×Z2G=Z6×Z2 will do (where ZnZn denotes the cyclic group of order nn). As a direct product of cyclic (so abelian) groups, GG is again abelian. Given any element (x,y)∈G(x,y)∈G, the order of (x,y)(x,y) will be the least common multiple of the orders of x,y.x,y.
The order of xx must divide 66 and the order of yy must divide 2,2, so the order of (x,y)(x,y) is at most lcm(6,2)=6.lcm(6,2)=6. But |G|=|Z6|⋅|Z2|=6⋅2=12.|G|=|Z6|⋅|Z2|=6⋅2=12. Since no element of GG has order 12,12, then GG is not cyclic.
Answer:
x<3
Step-by-step explanation:
Move all terms containing
x
to the left side of the inequality.
Tap for more steps...
x
+
3
<
6
Move all terms not containing
x
to the right side of the inequality.
Tap for more steps...
x
<
3
The result can be shown in multiple forms.
Inequality Form:
x
<
3
Interval Notation:
(
−
∞
,
3
)
Answer:
if it equals 3276 then yes its correct
Step-by-step explanation:
Answer:
The miles-per-gallon rating of this car is 20.83.
Step-by-step explanation:
This question can be solved by a rule of three.
What is the miles-per-gallon rating of this car?
How many miles for 1 gallon?
4.8 gallons are used for 100 miles. So
4.8 gallons - 100 miles
1 gallon - x miles
The miles-per-gallon rating of this car is 20.83.
