If some set A has n elements, then it has 2^n subsets.
Using that, the sentence, "The total number of subsets of ‘m’ is 56 more than the total number of subsets of ‘n’." gives you the equation 2^m - 2^n = 56
Factor both sides: 2^n * (2^(m-n) - 1) = 2^3 * 7
Since 2^n is a power of 2 and (2^(m-n) - 1) is an odd integer, we must have 2^n = 2^3 2^(m-n) - 1 = 7
Solving these, you get n = 3 and m = 6.
Answer:
C
Step-by-step explanation:
combine like terms, 4 and -15 = -11
Answer:
Hello, hope this will help:)
Answer:
h = 11/9 or 1 2/9
Step-by-step explanation:
(-5/11)h+(7/9)=(2/9)
(-5/11)h=(2/9)-(7/9)
(-5/11)h=(-5/9)
h = (-5/9)(-11/5)
h = 11/9
or
h = 1 2/9
Answer:
1) 2x-5 2) -10/x^2
Step-by-step explanation:
Use power rule and constant rule for the first one:
1) f(x)=x^2-5x^1+1 (x^n)'=nx^(n-1) and (c)'=0
f'(x)=2x^1-5(1)x^0+0
f'(x)=2x-5(1) x^0=1
f'(x)=2x-5
Use just power rule for last one after a rewrite
2) f(x)=10/x
f(x)=10x^(-1) now use power rule
f'(x)=-10x^(-2) =-10/x^2
