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:
$40 per week
Step-by-step explanation:
Step one:
Given data
the initial amount is = $100
the total amount= $500
let the number of weeks be x
Step two:
The expression for the scenario is
From the expression above, the rate of the change is $40 per week.
this means that in every week the account will be increased by $40
Answer:
depends on what the radius is
:)
Step-by-step explanation:
<u>Answer:</u>
32 units
<u>Step-by-step explanation:</u>
We have a quadrilateral ABCD and we are given the following coordinates for these vertices:
A (-11,-6)
B (-3,0)
C (1,0)
D (1,-6)
AB = = 10 units
BC = = 4 units
CD = = 6 units
AD = = 12 units
Perimeter of ABCD = = 32 units
Answer:
2203.20 pesos
Step-by-step explanation:
Joe's original amount was $200
#We convert this amount to $CDN:
Joe now has to convert the Canadian dollars to Mexican pesos(at a rate of 10.8 pesos per $1 CDN):
Hence, he gets a total of 2203.20 pesos in exchange for his Canadian dollars.