A. 600 is % of 500 b. 100 is % more than 40.

9514 1404 393

  A. 120%

  B. 150%

Step-by-step explanation:

a. Let 'a' represent the percentage of interest.

  600 = a% × 500

  600/500 = a/100 . . . . . . . % means /100

  100(6/5) = a = 120

  600 is 120 % of 500

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b. Let 'b' represent the percentage of interest. The given statement means ...

  100 = 40 + b% × 40

  100 = 40(1 +b/100) . . . . . factor out 40, use /100 for %

  2.50 = 1 +b/100 . . . . . . . divide by 40

  1.50 = b/100 . . . . . . . . . . subtract 1

  150 = b . . . . . . . . . . . . . . multiply by 100

100 is 150 % more than 40

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!

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.