Answer:
![5P3*6C4=60*15=900](https://tex.z-dn.net/?f=5P3%2A6C4%3D60%2A15%3D900)
Step-by-step explanation:
refers to the permutations of 5 items taken 3 at a time. To evaluate this, we use factorials as follows;
![5P3=\frac{5!}{(5-3)!}](https://tex.z-dn.net/?f=5P3%3D%5Cfrac%7B5%21%7D%7B%285-3%29%21%7D)
The factorial of an integer n is evaluated as;
![n!=n*(n-1)*(n-2)*(n-3).......3*2*1](https://tex.z-dn.net/?f=n%21%3Dn%2A%28n-1%29%2A%28n-2%29%2A%28n-3%29.......3%2A2%2A1)
Using this concept, the above expression can now be simplified as follows;
![5P3=\frac{5!}{2!}=\frac{5*4*3*2!}{2!}=5*4*3=60](https://tex.z-dn.net/?f=5P3%3D%5Cfrac%7B5%21%7D%7B2%21%7D%3D%5Cfrac%7B5%2A4%2A3%2A2%21%7D%7B2%21%7D%3D5%2A4%2A3%3D60)
Therefore, the permutations of 5 items taken 3 at a time is 60.
The next expression,
refers to the combinations of 6 items taken 4 at a time. The simplification utilizes similar concepts of permutations since we shall be involving factorials;
![6C4=\frac{6!}{4!(6-4)!}=\frac{6!}{4!*2!}=\frac{6*5*4!}{4!*2*1}=\frac{6*5}{2*1}=15](https://tex.z-dn.net/?f=6C4%3D%5Cfrac%7B6%21%7D%7B4%21%286-4%29%21%7D%3D%5Cfrac%7B6%21%7D%7B4%21%2A2%21%7D%3D%5Cfrac%7B6%2A5%2A4%21%7D%7B4%21%2A2%2A1%7D%3D%5Cfrac%7B6%2A5%7D%7B2%2A1%7D%3D15)
Therefore, the combinations of 6 items taken 4 at a time is 15.
The final step is to evaluate the product;
![5P3*6C4=60*15=900](https://tex.z-dn.net/?f=5P3%2A6C4%3D60%2A15%3D900)
A. so the 3 before the 3(r-5) represents the initial price, in this circumstance being 3
B. the R represents the rentals, for every R another video game has been rented
C. The 5 represents the money subtracted for every video game rented.
Answer:
Your brain.
Step-by-step explanation:
All you have to do is plug the value of -9 into the equation everywhere you see an 'x' and if you are being asked this question I assume you have basic mathematical skills
Answer:
I guess that You made a mistake and You wanted to solve equations
. Then the answer is D because There is no number that gives a negative number after the square root
Step-by-step explanation: