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05.02.2020 •
Mathematics
You have a coupon for your favorite clothing store for $25 off any purchase of more than $50. the store is also running a 20%-off sale on its entire inventory. let x be the original price, f(x) be the price with the $25 coupon applied, and g(x) be the price with the 20% discount applied.
a. write an expression for f(x).
b. write an expression for g(x).
c. what would the expression (f o g)(x) represent?
d. what would the expression (g o f)(x) represent?
e. if the store allows you to apply both the 20% discount and the $25-off coupon, does it matter which you apply first? how do y
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Ответ:
f(x) = 0.75x
g(x) = (1 - 0.2)x = 0.8x
g(x) = 0.8x
(f o g)(x) = f(g(x)) = 0.75(0.8x) = 0.6x
(f o g)(x) = 0.6x
(g o f)(x) = 0.8(0.75x) = 0.6x
(g o f)(x) = 0.6x
It does not matter which one you apply first.
Ответ:
3/8th of a gallon.
Step-by-step explanation:
if 1/4th of a gallon is 2/3 of a bin, we need to multiply 2/3 by 3/2 to find what 1 bin is. But we have to multiple both sides by 3/2. So in the end we get 1/4 x 3/2 which is 3/8ths.