Worth 100 points please help Two local hospitals purchase masks and gloves in bulk. The first hospital pays $11.99 per pack of masks and $9.50 per pack of gloves. The other hospital pays $13.75 per pack of gloves and $10 per pack of masks. Both hospitals end up spending within $100 of each other. How many masks and gloves could each hospital have purchased? Explain how you know you are correct using a system of equations.

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!

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.