Answer:
6.75 × 10^10
Step-by-step explanation:
(f+g)(x) is 3x^2 + 3x/2 - 9
(f+g)(x)=f(x)+g(x)=x/2-3+3x^2+x-6= 3x^2 + 3x/2- 9
There are 4 positions in the string that each have 25 choices (any letter in the English alphabet except A) and the other positions are filled with A, so there are 25⁴ possible strings containing exactly 7 A's.
Overall, there are 26¹¹ possible strings of length 11.
Then the probability of randomly generating a string containing exactly 7 A's is
25⁴ / 26¹¹ ≈ 0.000000000106427
Let a, b be two odd integers. Then both can be written as
a=2k-1, k is an integer
b=2m-1, m is an integer
So,
a-b=2k-1-(2m-1)=2k-2m-2=2(k-m-1)
Since, k and m and 1 are all integers, then (k-m-1) is also an integer. Hence, 2(k-m-1) is an even integer.
Thus, a-b is even.
3 times a number (x) minus y equals y plus 2 times x all multiplied by 5
