Provide an appropriate response.Paul notes that if a = 3 and b = -3, then
=
= -1. He concludes that for any real numbers a and b,
=
. Do you agree with his reasoning? If not, why not?
What will be an ideal response?
is not equal to
for any a and b. In fact
is equal to
only if a = b or a = -b. Paul has stated that
=
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 =
, but
= 3.
Mathematics
You might also like to view...
Plot each number on a number line.-1.5, 3, 4, -3
A.
B.
C.
D.
Mathematics
Change the polar coordinates (r, ?) to rectangular coordinates (x, y).(-6, ?)
A. (-6, 0) B. (0, 6) C. (0, -6) D. (6, 0)
Mathematics
Find a symbolic representation for f-1(x).f(x) =
A. f-1(x) = (x - 9)2
B. f-1(x) =
C. f-1(x) = x2 + 9, x ? 0
D. Not a one-to-one function
Mathematics
Determine whether the sequence is arithmetic.5, -15, 45, -135, 405, ...
A. Arithmetic B. Not arithmetic
Mathematics