The answer to this equation would be 278.135
For the first letter we have 24 choices. Since letters can't repeat the second letter has 23 choices (24 minus 1 that was used for the first slot) and the third has 22 (24 minus one for the first slot and one for the second slot).
The total number of combinations is thus: 24 x 23 x 22= 12,144
Question:
Find numbers a and k so that x-2 is a factor of

and

Answer:
and 
Step-by-step explanation:
Given



Required
Find a and k
For 
Substitute -1 for x





Substitute 3 for f(-1)

Collect Like Terms


Also:
If
is a factor, then

Substitute 2 for x and 0 for f(x)





Collect Like Terms



Substitute 12a - 14 for k in 


Collect Like Terms


Solve for a


Substitute 1 for a in 



Remember the order of operations. The first step in this problem will be to solve the exponent.
Take (2x)^3. Remember that since there are parentheses around 2x, that means you have to cube 2 and x.
(2x)^3 = 2^3 * x^3 = 8x^3
Now multiply that answer by 4 to finish simplifying.
8x^3 * 4 = 32 x^3
Your answer should be: 32x^3
A linear function is a function with the form f(x) = ax' + b. It looks like a regular linear equation, but instead of using y, the linear function notation is f(x). To solve a linear function, you would be given the value of f(x) and be asked to find x.