Answer:
The answer to the question are
(B) The set is not a vector space because it is not closed under addition. and
(D) The set is not a vector space because an additive inverse does not exist.
Step-by-step explanation:
To be able to identify the possible things that can affect a possible vector space one would have to practice on several exercises.
The vector space axioms that failed are as follows
(B) The set is not a vector space because it is not closed under addition.
(2·x⁸ + 3·x) + (-2·x⁸ +x) = 4·x which is not an eighth degree polynomial
(D) The set is not a vector space because an additive inverse does not exist.
There is no eight degree polynomial = 0
The axioms for real vector space are
- Addition: Possibility of forming the sum x+y which is in X from elements x and y which are also in X
- Inverse: Possibility of forming an inverse -x which is in X from an element x which is in X
- Scalar multiplication: The possibility of forming multiplication between an element x in X and a real number c of which the product cx is also an element of X
⇒ 
⇒ 
⇒
; sin(x) ≠ 0, cos(x) ≠ 0
⇒ 
; sin(x) ≠ 0, cos(x) ≠ 0
⇒ 
Use the Unit Circle to determine when
Answer: 45° and 315° 
Factor top and bottom, cancel like-terms
Answer:
It is D, D sounds reasonable.
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sorry if that was no help at all
Answer:
4 more years, then June and Jimmy will both be 60 inches tall.
Step-by-step explanation:
I just kept adding 6 to June's 36 inches, while adding 9 to Jimmy's 24 inches at the same time, until they both landed on the same number.
