No,

is not a subspace of

. A simple counter-example to the contrary: let

with

. However, scaling by -1 gives the vector

and

.
Answer:
B
Step-by-step explanation:
This is because he would find the most students in the cafeteria. It is not A because not everyone goes to basketball games. It's not C because you're looking for where you will find the most students. And it's not D because thats local and he is trying to find how many students want to organize a club NOT random people at a movie theater.
Zero of 7 with a multiplicity of 3 means one factor is 
Zero of -1 with a multiplicity of 2 means one factor is 
Zero of 5 with a multiplicity of 1 means one factor is 
Multiplying, we get

That's already in factored form so we leave it here.

Explanation:
Since we have given that
There are 6 gray keys for every 11 black keys .
So, the ratio will be 6:11
Let the number of gray keys be 6x
Let the number of black keys be 11x
Now, according to question,

so,

(2/3)-j
put it in parenthesis, the 2/3 to solve it correctly.