(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.
The formula is given as;

This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.
Therefore, we would have;

Therefore, if the order is relevant, this selection can be done in 6,720 ways.
(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;

The formula can now be applied as follows;

If the order is not relevant, then the selection can be done in 56 ways.
Answer:
Choice D is correct answer.
Step-by-step explanation:
We have given two function.
f(x) =2ˣ+5x and g(x) = 3x-5
We have to find the addition of given two function.
(f+g)(x) = ?
The formula to find the addition, we have
(f+g)(x) = f(x) + g(x)
Putting given values in above formula, we have
(f+g)(x) = (2ˣ+5x)+(3x-5)
(f+g)(x) = 2ˣ+5x+3x-5
Adding like terms, we have
(f+g)(x) = 2ˣ+8x-5 which is the answer.
Answer:
4(4x1-16)
Hope this helps
Have a good day :)
PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64
Step-by-step explanation:
The left side
1.99999925
1.99999925
does not equal to the right side
1
1
, which means that the given statement is false.