PLEASE HELP! Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88 × 10^12 miles. Suppose a star is 2.23 × 10^2 light-years from Earth. In scientific notation, approximately how many miles is it?
2.23 x 10^14
1.31 x 10^14
1.31 x 10^15
5.88 x 10^12

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!

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