Suppose that you work for a company that offers $25 and $60 gift certificates. Determine the money denominations that you can create using these denominations. Then use strong induction to prove your conjecture.

The money denominations that can be created for the $25 and $60 gift certificates are:

$5, $10, $20, and $50.

Step-by-step explanation:

To give the $25 gift certificate to a worker, the company will give either two of $10 plus one of $5 denominations or one of $20 plus one of $5 denominations.  These denominations will result in the same $25.

To give the $60 gift certificate to a worker, the company will either give one of $50 and one of $10 denominations, three of the $20 denominations, or six of the $10 denominations.  These denominations in their different combinations will result in the same $60.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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