Answer:Your left hand side evaluates to:
m+(−1)mn+(−1)m+(−1)mnp
and your right hand side evaluates to:
m+(−1)mn+(−1)m+np
After eliminating the common terms:
m+(−1)mn from both sides, we are left with showing:
(−1)m+(−1)mnp=(−1)m+np
If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:
(−1)(−1)mn=(−1)n.
It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:
(−1)(−1)mn=(−1)−n=1(−1)n
Multiplying both sides by (−1)n then yields:
1=(−1)2n=[(−1)n]2 which is always true, no matter what n is
Answer:
the first 3 consecutive numbers
x, x +1, x +2 = 270
x+x+1+x+2 =270
3x +3 =270
collect like terms
3x =270 -3
3x =267
divide both sides by 3
x =89
$135
60% markup means 60 percent of 90 dollars added back into the price
45 is 60 percent of 90 dollars so you would add that to $90
The value of Y would be -5 = 2y
