Will the opposite of a number always, sometimes, or never be greater than the number itself? Explain. Provide an example to support your reasoning.

Hi!

-When you say opposite of a number, do you mean multiplying the number by (-1)? If so, then it will sometimes be greater than itself. Like for example, -5. The opposite of -5 is 5. Because -5(-1) is 5.

-But if we have a positive number to begin with like 9, it would be less than itself because 9(-1) is -9.

Hope this gave a brief explanation and helped in some way.

irrational, cannot

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!