Answer:
The greatest number of the books that could have been borrowed during the week is 36
Step-by-step explanation:
Let's create an equation which represent this problem, where will rest the book borrow and add the book returned to the 40 initial amount of book on Monday, to get the 22 book in the shelf on Saturday morning
40 (book on the shelf on Monday) - x (book borrowed) + 0.5 * x (50 % of the book was returned before Saturday) = 22 (books in the shelf on Saturday morning)
40 - x + 0.5 * x = 22
40 - 0.5*x = 22
18 = 0.5 * x
18/0.5 = x
36 = x
The amount of borrowed books is 36
(-2x + 4y)(3x - 7y) = -6x^2 - 28y^2 + 12yx
Answer:


Step-by-step explanation:
Let
. We have that
if and only if we can find scalars
such that
. This can be translated to the following equations:
1. 
2.
3. 
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for
and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get


whose unique solutions are
, but note that for this values, the third equation doesn't hold (3+2 = 5
6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get


whose unique solutions are
. Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.
Answer:
5
Step-by-step explanation:
it is 5 because you do 1+4=5
Answer:

Step-by-step explanation:
