Step-by-step explanation:
given :
2x - 3y = 11
-6x + 8y = 34
find : the solutions of the system by using Cramers Rule.
solutions:
in the matrix 2x2 form =>
[ 2 -3] [x] [11]
=
[-6 8] [ y] [34]
D =
| 2 -3 |
|-6 8 |
= 8×2 - (-3) (-6)
= 16-18 = -2
Dx = | 11 -3 |
| 34 8 |
= 11×8 - (-3) (34)
= 88 + 102
= 190
Dy = | 2 11 |
|-6 34 |
= 2×34 - (-6) (11)
= 68 + 66
= 134
x = Dx/D = 190/-2 = -95
y = Dy/D = 134/-2 = -67
the solutions = {-95, -67}
Answer:

Step-by-step explanation:
we have



we know that
The variable of the function f(g(x)) is equal to the function g(x)
so
f(x) -----> f(g(x))
x^{8} -----> (x+5)^{8}
The variable x becomes (x+5)
therefore
The function g(x) is equal to

Joe's dog has a mass of 28 kilograms. If you want to know about the solution, all you need to consider is this example: 1kg = 1000g. Therefore, the 28,000 gram dog is all-in-all 28 kilograms in terms of overall mass.
Answer:
Option c.
Step-by-step explanation:
It is given that the piecewise function represents the Social Security taxes for 2009.

We need to find Rachel's security tax if she earned $102,000 in 2009.
Since 102,000 lies in
, therefore

Put x=102000.


So, the Social Security tax is $6324.
Therefore, the correct option is c.