Answer: C
Step-by-step explanation:
If (X + 8) is a factor of f(x), then to find the root, equate the factor to zero. That is,
X + 8 = 0
X = 0 - 8
X = -8
If -8 is substituted into f(x), the equation will tend to zero. That is,
F( -8 ) = 0
C is therefore the correct answer.
<h2>Answer:
</h2><h2>
Techno ∩ (European ∩ Dutch)'</h2>
Step-by-step explanation:
According to sets theory ;
Intersection ( ∩ ) - e.g (European ∩ Dutch) represents both European and
Dutch , while (European ∩ Dutch)' represents neither
European nor Dutch .
Union ( ∪ ) - e.g (European ∪ Dutch) represents either European or Dutch .
So , Techno ∩ (European ∩ Dutch)' represents set notation of techno musics that is neither European nor Dutch .
Answer:

Step-by-step explanation:
First, you have to substitute both functions into the equation to get:

Then, you distribute the negative sign in front of g(x) to get:

And finally, you add/subtract the x's that have the same power to get:

Answer:
i) superset (A)
ii) 0.577 (A)
Step-by-step explanation:
i) A subset is a set which has all its elements contained in another set.
For two sets A and B, if each element of set A is an element of set B, then A is a subset of B.
A superset is a set that houses another set. So if set A is a subset of set B, then B is a superset of A.
Proper subset
For a set (A) to be a proper subset of another (B) every element of A would be in B but there exists at least one element in B that is not in A.
An Empty Set (or Null Set) doesn't have aren't any elements in it. It is empty.
Since every element of the superset is in the superset. Therefore, A superset contains all the subset of superset.
ii) Square root of 1/3 = √⅓
= ± √⅓ = +√⅓ or -√⅓
+√⅓ = +(√1/√3) = +(1/√3)
+√⅓ = +(1/1.7321)
+√⅓ = +0.577
Therefore Positive square root of 1/3 is 0.577 (A)