Answer:
None
Step-by-step explanation:
That equation is fully simplified, unless you know the value of x
Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
Answer:
f(x) is equal to -1 when x=3
Step-by-step explanation:
we have
This is a constant function
we know that
A <u>constant function</u> is a function whose output value is the same for every input value
therefore
when x=3 (input value)
The value of the function is y=-1 (output value)
Answer:
what is the problem
Step-by-step explanation:
i need picture
The answer is 588 because if you multiply 6.75 percent of 4800 by 13, and then subtract it from 4800, you get 588.
