Answer:
280 hours
Step-by-step explanation:
Amount paid + profit = cost of a lesson per hour
$2000 + $5000 = $25(h)
7000 = 25h
7000/25 = h
280 = h
A; rate of change is the same as slope, so, using the slope formula,
, where
is the slope and
,
,
, and
are the
and
values.
Plug in
points for
and
, water level being the
and time being the
since we're looking for the answer in ft/hr-- you can choose any two, but from the same row.
ft/hr
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
you add up 138+225 and you get 363 then you subtract 482-363 this is how you set it up:
4 8 2
- 3 6 3
------------
you have to borrow because 3 does not go into 2 so you change the 8 into a 7 then you 10 to 2 and you get 12 so this is what it looks like:
4 7 12
- 3 6 3
-------------------
so you then subtract 12-3=9 then 7-6=1 then 4-3=1
so this is what it looks like
4 7 12
--- 3 6 3
--------------------
1 1 9
so on Sunday they rode 119 miles
Answer:
the third one
Step-by-step explanation:
