None of the equations are true they are all false when you plug in 3.5 for x
Answer:
1/5
Step-by-step explanation:
slope is rise over run
change in y over the change in X
-8 - (-7) = -1
-9 - (-4) = -5
-1/-5 = 1/5
Answer:
a) The order of αβ is 9 and αβ is an even permutation
b) See proof
Step-by-step explanation:
a) Given that: α is a cycle of length 3 and β a cycle of length 9.
We want to find the order of αβ .
The order of αβ is the LCM of the length of the disjoint cycles.
Therefore the order is the LCM of 3 and 9 which is 9.
Since α is a cycle of length 3 and β a cycle of length 9, and (3-1)+(9-1)=10, the permutation αβ is even.
b) We want to show that, for every positive integer n,
Proof:
Expanding from left, we have
Since α and β commutes, we rearrange to get:
We simplify on the right to get:
The domain is how far left and right it goes on a graph, and the range is how far up and down it goes on a graph. Because this equation is linear (if you graphed it, it would be in a straight line), both the domain and range are infinity, because it keeps going up and to the right, the larger X gets, and smaller and to the left, the more negative X gets.
Answer:
63g extra
Step-by-step explanation:
420 x 0.15 =63 g