The correct answer is option D
D. 597
The solution is as following
Determinant of K = 14 *(8*5+ --1*-2) - (-13)*(3*5- (-1)*(-10)) + 0 *( 3*-2 - 8*-10)
= 14 * 38 + 13 * 5 + 0 * 74
= 532 + 65
= 597
Answer with Step-by-step explanation:
We are given that
For each real number 
To prove that f is one -to-one.
Proof:Let 
and 
be any nonzero real numbers such that
By using the definition of f to rewrite the left hand side of this equation
Then, by using the definition of f to rewrite the right hand side of this equation of
Equating the expression then we get
Therefore, f is one-to-one.
Collection 1, no of marbles = 125
Collection 2, no of marbles =36 fewer = 125-36 =89
Collection 3, no of marbles = 53 more =125+53 =178
Hence total marbles = 125+89+178
= 392
Given that he uses 14 trays to hold all the marables
Let us assume that he distributes equally all 392 marbles in 14 trays
Then marbles in each tray = 392/14 = 27
Thus division is used for finding out the no of marbles in a tray.
For finding out no of marbles in 3 trays, we get = 3x27 = 81 marbles
(Here direct variation is used)
Answer is 81 marbles
