Answer:
Determinant = -12
Step-by-step explanation:
rewrite the system as
-2 = 2x - 3y + 0z
0 = 0x + y - 2z
1 = -3x + 2y - z
then the coefficient matrix is
{ [2, -3, 0]
[0, 1, -2]
[-3, 2, -1] }
to find determinant
{ [2, -3, 0] , 2, -3
[0, 1, -2] , 0, 1
[-3, 2, -1] }, -3, 2
determinant = 2*1*-1 + (-3 * -2 * -3) + (0*0*2) - 0 - (2*-2*2) - 0
determinant = -2 - 18 + 0 - 0 + 8 = -12
(X + 3)(x + 4) is the right answer.
Answer:
84.78%
Step-by-step explanation:
Data provided in the question:
P( Infection occurred ) = 4% = 0.04
P( Repair fails ) = 12% = 0.12
P( Both infection and failure occur ) = 0.78% = 0.0078
Now,
P( operations succeed and are free from infection )
= 1 - P( Failure ∪ Infection )
also,
P( Failure ∪ Infection )
= P( Infection occurred ) + P( Repair fails ) - P( Both infection and failure occur )
or
P( Failure ∪ Infection ) = 0.04 + 0.12 - 0.0078 = 0.1522
Therefore,
P( operations succeed and are free from infection )
= 1 - P( Failure ∪ Infection )
or
= 1 - 0.1522
= 0.8478
or
⇒ 0.8478 × 100% = 84.78%
Answer:
2a to the second power + 3a
Step-by-step explanation:
Answer:
Angle A = Angle X
Line Segment CA = Line Segment ZX
Angle Y = Angle B
Line Segment YX = Line Segment BA
Step-by-step explanation:
Both triangles are stated to be equal so we can draw two triangles and label them. One triangle has Point A, Point B, and Point C. The second triangle has Point X, Point Y, and Point Z. Make sure that Point X on the second triangle is in the same spot as Point A on the first triangle (same for points B, C, Y, and Z).
