Answer:
-123
Step-by-step explanation:
The remainder theorem says that when a polynomial is divided by a linear factor x - c (note the minus sign), the remainder is the value of the polynomial at x = c.
When a polynomial P(x) is divided by x - c, the remainder is P(c). In other words, to find the remainder, plug in c for x.
You're dividing by x + 4 which is the same thing as x - (-4) -- the role of c is being played by -4.
3(–4)^3 – (–4)^2 – 20(–4) + 5 = –123
Answer:
The less the correlation between two variables means the more different their output is.
A.) If Rachel wants to diversify her investment by investing on bonds that do not closely follow the returns on the bond. then she should invest in the stocks with low correlation with bonds. I.e: small cap stocks.
B.) Similarly, due to low correlation, small cap bonds will increase ( comparatively to large cap bonds) as the return on her bonds wil drop and vice versa.
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)
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