2. You have some coins, each of which is a penny (1 cent), a nickel (5...

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2. You have some coins, each of which is a penny (1 cent), a nickel (5 cents), a dime (10 cents), a quarter (25 cents), or a half-dollar (50 cents). You know that you have three times as many dimes as quarters, • the number of pennies and nickels combined is one more than the number of dimes and quarters combined, • you have 13 coins in total, • and the total value of your coins is $2.68 (268 cents). (a) Set up (do not solve) a system of linear equations for the numbers of pennies (p), nickels (n), dimes (d), quarters (q), and half-dollars (h) you have. (b) Write down the augmented matrix corresponding to your linear system from part (a). (c) Is it possible that there a unique solution (where p, n, d, q, and h are real numbers) to your linear system from part (a)? Answer yes or no (no justification necessary). 2. You have some coins, each of which is a penny (1 cent), a nickel (5 cents), a dime (10 cents), a quarter (25 cents), or a half-dollar (50 cents). You know that you have three times as many dimes as quarters, • the number of pennies and nickels combined is one more than the number of dimes and quarters combined, • you have 13 coins in total, • and the total value of your coins is $2.68 (268 cents). (a) Set up (do not solve) a system of linear equations for the numbers of pennies (p), nickels (n), dimes (d), quarters (q), and half-dollars (h) you have. (b) Write down the augmented matrix corresponding to your linear system from part (a). (c) Is it possible that there a unique solution (where p, n, d, q, and h are real numbers) to your linear system from part (a)? Answer yes or no (no justification necessary).

Answer rating: 100% (QA)

a p n d q 3d 2q p n d q h 13 p n 5d 5q 50h 268 b p n d q h 13 3d 2q 0 p ... View the full answer