Provide an appropriate response.Sheila notes that if a = 20 and b = 20, then a - b = b - a = 0. She concludes that for any real numbers a and b, a - b = b - a . Do you agree with her reasoning? If not, why not?

What will be an ideal response?


a - b is not equal to b - a for any a and b. In fact a - b is equal to b - a only if a = b . Sheila has stated that a - b = b - a for all real numbers a and b. To disprove this statement, it is sufficient to find one counterexample. 
One possible counterexample is a = 2, b = 6. Then a - b = -4, but b - a = 4.

Mathematics

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A. 15 B. 14.3 C. 13.5 D. 15.8

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A. {4} B. {-5} C. {5} D. {-4}

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Graph the equation.(y - 2)2 = -8(x - 1)

A.

B.

C.

D.

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Solve.Aviva has a total of 61 coins in a jar, all of which are either dimes or nickels. The total value of the coins is $4.60. If n represents the number of nickels Aviva has, solve the following equation to find the number of nickels in the jar.

A. 30 nickels B. 35 nickels C. 31 nickels D. 32 nickels

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