Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have
f^(-1)(f(x)) = x
Differentiating with the chain rule gives
(f^(-1))'(f(x)) f'(x) = 1
so that
(f^(-1))'(f(x)) = 1/f'(x)
Let x = a; then
(f^(-1))'(f(a)) = 1/f'(a)
(f^(-1))'(b) = 1/f'(a)
In particular, we take a = 2 and b = 7; then
(f^(-1))'(7) = 1/f'(2) = 1/5
Answer:
y=60 due to adjacent angle
Because what your doing is breaking apart the dividend to make it easy to divide with the divisor.
Example 189/3
What you do is place value in hundreds would be
180/3= 60
9/3=3 add together you get 63
It can go 1,220 miles in 2 hours and it’s going 610 mph
There’s a 3:1:2 ratio. If you add those numbers up you get 6.
Divide 36 by 6 to get 6.
Now multiply the numbers in the ratio by 6 and you should get....
18 : 6 : 12
Notice how if you add those up you get 36
So: there are 18 silver beads, 6 crystal and 12 purple
Hope this helps! Any questions let me know :)