Answer:
x^5 - 5 x^4 + 9 x^3 - 9 x^2 + 12 x - 12
Step-by-step explanation:
(x ^4 - 3x^3 + 3x^2 - 3x + 6) (x - 2)
Distribute the x to all the terms in the first parentheses
(x^ 4 *x - 3x^ 3 *x + 3x^ 2 *x - 3x *x + 6*x)
Then simplify
(x^5 - 3x^4 + 3x^ 3 - 3x2 + 6x)
Distribute the -2 to all the terms in the first parentheses
(x^ 4 *(-2) - 3x^ 3 *(-2) + 3x^ 2 *(-2) - 3x *(-2) + 6*(-2))
Then simplify
(-2x^4 +6x^3 -6x^ 2 +6x -12)
Add the terms together
(x^5 - 3x^4 + 3x^ 3 - 3x2 + 6x) +(-2x^4 +6x^3 -6x^ 2 +6x -12)
x^5 - 5 x^4 + 9 x^3 - 9 x^2 + 12 x - 12
Answer:
Only option B is correct, i.e. all real values of x except x = 2.
Step-by-step explanation:
Given the functions are C(x) = 5/(x-2) and D(x) = (x+3)
Finding (C·D)(x) :-
(C·D)(x) = C(x) * D(x)
(C·D)(x) = 5/(x-2) * (x+3)
(C·D)(x) = 5(x+3) / (x-2)
(C·D)(x) = (5x+15) / (x-2)
Let y(x) = (C·D)(x) = (5x+15) / (x-2)
According to definition of functions, the rational functions are defined for all Real values except the one at which denominator is zero.
It means domain will be all Real values except (x-2)≠0 or x≠2.
Hence, only option B is correct, i.e. all real values of x except x = 2.
Answer: 3rd choice is the right answer
Answer:
Base 5
Step-by-step explanation:
We want to determine the base at which:
113 X 2 =231
We consider the last number of the result (231).
The base must be a number such that:
3 X 2 will have a remainder of 1.
3 X 2 = 6 = 5 Remainder 1
Therefore:
113 X 2 =231 in positive integral number base 5.
