Evaluate: 6! a. 60 b. 120 c. 360 d. 720

 D.  

720

Step-by-step explanation:

We know that the value of  n factorial or n! is given by :-

We are given to find the value of 6! (or 6 factorial )

Using the above formula , the value of 6! is given by :-

Therefore , the value of 6! = 720

x = 16

Step-by-step explanation:

0=x^2-14x+46 is to be solved for x by completing the square.  The first two terms, x^2 and -14x, are the incomplete square.  We must find a term to add to, and then subtract from x^2 - 14x, so that we have a perfects square on the left and a negative number on the right:

x^2 - 14x = x^2 - 14x + (half of -14)^2 - (half of -14)^2 results in transformation of the original 0=x^2-14x+46 to

x^2 - 14x + 49 - 49 + 46 = 0, which simplifies to:

(x - 7)^2 - 3 = 0.  We want to solve this for x.

To do that, rewrite (x - 7)^2 - 3 = 0 as (x - 7)^2 = 3, and then square both sides.  We get:

x - 7 = 9, or x = 16