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.
You might also like to view...
FInd the tangential and normal components of the acceleration.r(t) = (1 + t)3/2i +
(1 - t)3/2j +
tk
A. a = N
B. a = N
C. a = T + N
D. a = T
Rewrite the series using summation notation. Use 1 as the lower limit of summation. +
+
+ . . . +
A.
B.
C.
D.
Find the effective rate of interest.10% compounded continuously
A. 10.517% B. 10.089% C. 10.374% D. 10.451%
Decide whether the equation shows direct, inverse, joint, or compound variation. y = 12x
A. Compound B. Inverse C. Joint D. Direct