On the return trip: 16 mph * 3/2 hr = 24 miles, which is 6 miles short of 30 mi.
The distance is 30 miles.
The bird flies all 30 miles in 3/2 hr = 1 and 1/2 hour = 1 hour 30 minutes.
On the return trip, the bird flies 24 miles in 1.5 hours, which is 6 miles short.
Answer:
with what
Step-by-step explanation:
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
9514 1404 393
Answer:
y = 3x +3
Step-by-step explanation:
The slope of the line can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
Using the first two sets of table values, this is ...
m = (9 -6)/(2 -1) = 3/1 = 3
You can find the point-slope equation using the form ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -6 = 3(x -1) . . . . . using the first point in the table
Solving for y gives ...
y = 3x -3 +6 . . . eliminate parentheses, add 6
y = 3x +3