Answer:
<em>5</em>
Step-by-step explanation:
General equation of direct variation:
y = kx,
where k is the constant of proportionality.
In your case, you have
y = 5x, so 5 is the constant of proportionality.
Answer:
Step-by-step explanation:
step 1
Find the value of y
we know that
In the right triangle of the figure
Remember that
so
Simplify
step 2
Find the value of x
In the right triangle of the figure
Remember that
so
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
