A suitable calculator finds the determinant to be ...
... B. -203
_____
This can be calculated by hand by copying the first two columns to the right of the given matrix, then forming the sum of products of the downward diagonals and subtracting the sum of products of the upward diagonals.
... (-4)(3)(-5) +(-4)(-5)(-5) +(-3)(3)(2) -(-5)(3)(-3) -(2)(-5)(-4) -(-5)(3)(-4)
... = 60 -100 -18 -45 -40 -60
... = -203
Answer:
x^2 - 15x - 27
---------------------- (Answer C)
9
Step-by-step explanation:
(h - g)(x) is the difference between funcions h and g. Subtract g(x) from h(x) as follows:
x^2 + 2 - x
-(4x + 5)
-------------------
x^2 - 5x - 3 = (h - g)(x)
To find (h - g)(x/3), substitute x/3 for x in x^2 - 5x - 3 = (h - g)(x), obtaining:
(x/3)^2 - 5(x/3) - 3
We must expand this and then combine like terms:
x^2/9 - (5/3)x - 3
The LCD of these three terms is 9. The first term stays as is. The second term becomes (15/9)x. The third term becomes 27/9.
Combining these three terms, all with denominator 9, we get:
x^2 - 15x - 27
----------------------
9
This matches Answer C.
Answer:
2:3
Step-by-step explanation:
First, create the ratio by putting the numbers together:
There are 4 red and 6 blue marbles:
4:6
Since both of these are divisible by 2, it can be simplified:
4:6
2:3
So, the ratio of red marbles to blue marbles is 2:3
Answer: The Mason High Cougars Football team
Is there a ingeneral question about them or some thing?
:)
Step-by-step explanation: