Answer:

Step-by-step explanation:

Answer:
2
Step-by-step explanation:
Slope or gradient of a line is given by dividing change in y axis by the change in x axis. Slope is represented by m hence
where
is the change in y axis while
is the change in x co-ordinates. Substituting
with 6 units while 3 units substitute
then the slope will be 
Therefore, the gradient is 2
Let S = number of small yogurts ($2 each).
Let M = number of medium yogurts ($3 each)
Let L = number of large yogurts ($5 each)
Total yogurts is 27, therefore
S + M + L = 27
Total revenue generated is $98, therefore
2S + 3M +5L = 98
There are five more large yogurts than small yogurts, therefore
L = S + 5, or
-S + L = 5
These three equations may be written as the matrix equation
[ 1 1 1 | |S| |27|
| 2 3 5 | |M| = |98|
| -1 0 1 | |L| | 5|
The determinant of the matrix is
D = 3 - (2+5) + 3 = -1.
Solve with Cramer's Rule to obtain
S = -[27*3) - (98-25) - 15]
= 7
M = -[(98-25) - 27(2+5) + (10+98)]
= 8
L = -[15 - (10+98) + 27(3)]
= 12
Answer: 7 small, 8 medium, 12 large yogurts.
ANSWER
The value of the expression is

EXPLANATION
Method 1: Rewrite as product of

The expression given to us is,

We use the fact that

to simplify the above expression.

This implies,

We substitute to obtain,


Method 2: Use indices to solve.

This implies that,

