Prove:
Using mathemetical induction:
P(n) = 
for n=1
P(n) =
= 6
It is divisible by 2 and 3
Now, for n=k, 
P(k) = 
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) = 
P(k+1) = 
P(k+1) = 
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) =
is divisible by 2 and 3 for all positive integer n.
Answer:
The correct option is A) 3 square inches;
.
Step-by-step explanation:
It is given that the length of the frame is (2x-3) and the width is (x-2)
The area of the rectangle is: 
Where, A is the area l is the length and w is the width of the rectangle.
Put
and
in the area of the rectangle.

The area of the frame expressed as a polynomial is
.
Now substitute x=3 in
.

The area of the frame is 3 square inches.
Hence, the correct option is A) 3 square inches;
.
Add or subtract 360 degrees to find a coterminous angle. Since the questions wants you to find one between 0-360, you should subtract 360.
453-360=93 degrees
If he counts 76 feet, that means there’s 38 animals in total, because animals have 2 feet. 76/2=38
Hope that helps..!