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miv72 [106K]
3 years ago
13

How do you simplify(n!)^2/(n+1)!(n-1)!

Mathematics
1 answer:
ANTONII [103]3 years ago
5 0
We haven n! = (n-1)! x n and (n+1)! = n! x (n + 1);
Then, (n!)^2 = n! x n! = n! x (n-1)! x n;
And (n+1)!(n-1)! = n! x (n + 1) x (n-1)!;
Finally, [n! x (n-1)! x n] / [n! x (n + 1) x (n-1)!] = (n+1)/n;
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Factoring with Diagrams
Finger [1]

Answer:

(x - 7)(x - 4)(x + 4).            

Step-by-step explanation:

A(x) = x3 – 7x² – 16x +112

Dividing by x-7:

      x^2  - 16               <-------- Quotient

     -----------------------------

x-7)x^3 - 7x^2 - 16x + 112

     x^3 - 7x^2

                    0 - 16x + 112

                        - 16x + 112

                          ..............

so A(x) = (x - 7)(x^2 - 16)       x^2 - 16 is the difference of 2 squares so we have:

(x - 7)(x - 4)(x + 4).

Checking by expanding the brackets:  

(x - 7)(x - 4)(x + 4)

= x(x - 4)(x + 4) - 7(x - 4)(x + 4)

= x(x^2 - 16) - 7(x^2 - 16)

= x^3 - 16x - 7x^2 + 114

= x^3 - 7x^2 - 16x + 112          

7 0
3 years ago
Select the coin which cannot be used by itself to count 0.75.
cestrela7 [59]
It is a dime cause a dime is 10¢ and you cannot divide 75 by 10 you get a decimal
3 0
3 years ago
Maine has a cold climate in the winter. Which statement about the probability of temperatures falling below 32 Fahrenheit in Mai
aliya0001 [1]

Answer: The probability is 100.

Step-by-step explanation:

Maine has a cold climate in winter which means that we can expect cold weather when winter season reaches Maine.

January is a winter month so the probability that the temperature in Maine will drop below 32° in January is a certain occurrence which means that the probability is a 100%.

6 0
3 years ago
Find the area of the region bounded by the y-axis, the line y=6, and the line y = 1/2.
Ghella [55]

Solution:

As region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis.

We consider a line , one dimensional  if it's thickness is negligible.

So, Line is  two dimensional if it's thickness is not negligible becomes a quadrilateral.

So, Area (region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis)= Area of line segment between [,y=6 and  y=1/2.]= 6-1/2=11/2 units if we consider thickness of line as negligible.

4 0
3 years ago
Our family car travels 40 miles in 2 hours. What is our average speed in mph?
slavikrds [6]

Answer:

B. 20 mph

Step-by-step explanation:

To find the average speed, take the distance and divide by the time

40 miles / 2 hours

20 miles per hour

4 0
3 years ago
Read 2 more answers
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