Firstly expand (x - 3)(ax^2 + bx + c):
ax^3 + bx^2 + cx - 3ax^2 - 3bx - 3c
Now rearrange it so that it's in the form ax^3 + bx^2 + cx + d:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c
Now we can compare both equations:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c = 2x^3 - x^2 - 19x + 12
We get:
(1) a = 2
(2) b - 3a = -1
(3) c - 3b = -19
(4) -3c = 12
If we substitute (1) into (2) we get:
b - 3*2 = -1
b - 6 = -1
b = 5
Now if we solve (4) we get:
-3c = 12
c = -4
Therefor a = 2, b = 5 and c = -4
I’m sorry I don’t really know how to answer this but Ik someone who can
Answer:
0.67
Step-by-step explanation:
The times that I choose a person and it claim english as its mother tongue is a random variable with geometric distribution (in this case, the parameter is p=0.82).
Then:
P(X=2) = (0.82) x (0.82) = 0.6724
Answer:
C
Step-by-step explanation:
Volume = base * height.
The area of the base = base * height/2
That means the area of the triangular base is 8 * 5.1/2 = 20.4
The height is 9, so the volume is 20.4 * 9.
That means the volume is 183.6, which is C
Answer:
i think D or B is the answer
Step-by-step explanation:
