Answer: (1.5, 3.5)
Explanation:
Find the slope by using the coordinates for points L and K.
3 - 4 = -1
5 - (-2) = 7
Slope = -1/7
Then you plot your points on the graph.
But you want to half your slope to find the midpoint. So your slope would now be -0.5/3.5.
And when you follow that slope, you will plot down the coordinate (1.5, 3.5), which is the midpoint.
Hope this helped! :3
(Also don’t mind the 19 at the top left)
Answer:
d is greater than c, since at 
Step-by-step explanation:
We are given two exponential functions, f and g.
Since f has the higher base(3 instead of 2 in g), it increases faster, so initially, g is greater than f, and after point (p,q), f is greater than g.
The values of c and d are found when
. At this point, we have that g is greater than f, so d is greater than c.
Answer:
I'm going to lay this out in a chart so it's a little easier to see:
F(x) = f(g(x))
x | f (x) | f ' (x) | g (x) | g ' (x)
--------------------------------------
-2 | 8 | 4 |
5 | | 3 | -2 | 6
Remember the chain rule, which says
(f (g (x))) ' = g ' (x) f ' (g (x))
When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.
Using the chain rule, that's
F ' (5) = g ' (5) f ' (g (5))
We can simplify using the numbers provided.
F ' (5) = (6) f ' (-2)
F ' (5) = (6) (4)
F ' (5) = 24
I hope that helps!
by jannat <33
Answer:
c
Step-by-step explanation: