The correct answer is option D.
F(G(x)) denotes the composition of the two functions F(x) and G(x). The composition of two functions result in x, if the two functions are inverses of each other. So in this case F(x) and G(x) will be the inverse of each other. So option D is the correct answer.
Answer:
The smallest positive integer solution to the given system of congruences is 30.
Step-by-step explanation:
The given system of congruences is


where, m and n are positive integers.
It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as



Now, we can say that m>n because m and n are positive integers.
For n=1,


19 is not divisible by 5 so m is not an integer for n=1.
For n=2,



The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

Therefore the smallest positive integer solution to the given system of congruences is 30.
8 beehives for every 3.25 acres
Answer:
Step-by-step explanation:
4x - 5y= 5
-4x. -4x
-5y = -4x + 5
divide all by -5
y= 4/5x -1
slope is 4/5
y intercept is -1
The length of the shorter side is 7 longer side is 12 7+7+12+12 is 38 and 7x12 is 84