Answer:
See explanations below
Step-by-step explanation:
Given the functions
f(x) = 12x - 12
g(x) = x/12 - 1
To show they are inverses, we, must show that f(g(x)) = g(f(x))
f(g(x)) = f(x/12 - 1)
Replace x with x/12 - 1 into f(x)
f(g(x)) =12((x-12)/12) - 11
f(g(x)) = x-1 - 1
f(g(x)) =x - 2
Similarly for g(f(x))
g(f(x)) = g(12x-12)
g(f(x)) =(12x-12)/12 - 1
12(x-1)/12 - 1
x-1 - 1
x - 2
Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other
Answer:
Step-by-step explanation:
y - 3 = -6(x - 4)
y - 3 = -6x + 24
y = -6x + 27
12
Step-by-step explanation:
12 i think so because i did it before
10 and the math be hide it is 600/60=10
The appropriate choice is ...
(25−2x)(20−2x)x
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When x is cut from each side of the 25 dimension, the remaining dimension of the bottom of the box is 25-2x. Similarly, when x is cut from each side of the 20 dimension, the remaining dimension of the bottom of the box is 20-2x. The length of the side that is folded up is x, so that is how deep the box is.
The volume is the product of the dimensions of the bottom and the side:
(25−2x)(20−2x)x
