Answer with Step-by-step explanation:
The number of marbles are as under
3 red , 3 green , 1 Lavender total = 7
Now to select five marbles from a total of 7 marbles such that at least 2 marbles are included are the sum of the following cases:
1) We select 2 exactly 2 red marbles from 3 reds and the remaining 3 marbles are selected from 4 of other colours
Thus
2)We select all the 3 red marbles and the remaining 2 are selected from the remaining 4 marbles
Thus the total number of ways are
Function defines relationship between variables. The value of the f[g(x)] when the value of f(x)=6x+11 and g(x)=x²+6 is f[g(x)]= 36x²+47.
<h3>What is a function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
Given to us
f(x) = 6x + 11
g(x) = x² + 6
As we know the two functions, given to us f(x) = 6x + 11, therefore substitute the value of x as g(x) in order to find the value of f[g(x)] ,
Hence, the value of the f[g(x)] when the value of f(x)=6x+11 and
g(x)=x²+6 is f[g(x)]= 36x²+47.
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