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
From the given scenario in this item, we can say that the sum of x and y is 500. By the aluminum balance, the equation that we can formulate from this,
0.25x + 0.40y = (500)(0.35)
The system of linear equations that can best express the given is,
x + y = 500
0.25x + 0.40y = 175
Answer: $18 dollars left
Step-by-step explanation:
multiply $4 by 5 that gives you $20 then subtract $20 from $40
giving you $20 then divide $20 by seven and you can only get 2 chicken.
then subtract $20 from $40 then subtract that answer by 2 which leaves you with $18
1 inch=8 miles
so if you had x miles on the scale then it is 8 times x mils in real ife
so you are trying to find acutal milage and then convert it to other map of 6 miles per inc
distance=1 and1/2 inches
multiply by 8
1 and 1/2 times 8=8+4=12
so the acual distance is 12 miles
then we convert it
6 miles=1 in
divide by 6
1 mile=1/6 inch
12 miles=1/6 inch itmes 12=12/6=2
2 inches
answer is C
Answer:
3/4
Step-by-step explanation:
Given the following :
Number of boxes = 2
First box :
White balls = 3
Blue balls = 2
Second box:
White balls = 4
Blue balls = 1
What is the probability that Frida picked a ball from the first box if she has selected a blue ball?
Probability (P) = (required outcome / Total possible outcomes)
Probability of picking first box : P(F) = 1/2
Probability of not picking second box :P(S) 1/2
Probability of picking blue from first box : P(B | F) = 3/5
Probability of picking blue, but not from first box : P(Blue not from second box) P(B|S) = 1/5
probability that Frida picked a ball from the first box if she has selected a blue ball?
P(F) * P(B|F) ÷ (P(F) * P(B|F)) + (P(S) * P(B|S))
(1/2 * 3/5) ÷ ((1/2 *3/5) + (1/2 * 1/5)
3/10 ÷ (3/10 + 1/10)
3/10 ÷ 4/10
3/10 * 10/4
= 3/4
