A bag contains black and white hats in the ratio of 6 to 9 as shown below: 6 black hats and 9 white hats are shown

Which is another ratio that can describe the black to white hats?

A.8 to 5
B.5 to 8
C.3 to 2
D.2 to 3

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!