Answer:
B: 11 minutes.
Step-by-step explanation:
So, we know that the machine prints at a constant rate.
After 3 minutes, the machine prints 108 posters.
So, let’s find the <em>unit rate. </em>We will divide the output over the input. So:

So, the unit rate of the machine is 36 posters per minute.
We can write an equation. If t represent the number of minutes and p represent the amount of posters, then:

Gives the amount of posters p and t minutes.
We want to know how long it will take Jeffrey to make 396 posters.
So, we can substitute 396 for p and solve for t. Hence:

Divide both sides by 36:

Therefore, it will take Jeffrey 11 minutes to make 396 posters.
Since each vector is a member of

, the vectors will span

if they form a basis for

, which requires that they be linearly independent of one another.
To show this, you have to establish that the only linear combination of the three vectors

that gives the zero vector

occurs for scalars

.

Solving this, you'll find that

, so the vectors are indeed linearly independent, thus forming a basis for

and therefore they must span

.
Answer:
acute triangle
Step-by-step explanation: