Answer:
Step-by-step explanation:
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:
6
Step-by-step explanation:
The mode is the number which appears most often in a set of numbers in this case that would be 6 because it appears twice
Answer: x = -8, y = 13
Step-by-step explanation:
x+y=5
3x+y=-11
now subtract the two equations
x-3x+y-y=5-(-11)
-2x=16, x = -8
now substitute
-8 + y = 5, y = 13
Answer:
<h2>
3 2/4</h2>
Step-by-step explanation:
5 3/4 - 2 1/4
whole numbers
5 - 2 = 3
fractions
3/4 - 1/4 = 2/4
so
<u><em>3 2/4</em></u> is the answer
