Yes you used the chain rule properly to follow the correct steps to get the right answer. Great job.
If you wanted, you can come up with examples for f(x) and g(x) to help confirm the answer. A quick way to do this is to use something like GeoGebra to help graph the two expressions and you'll notice that the curves match up perfectly (indicating equivalent expressions). Note: GeoGebra can handle derivatives through the Derivative[] comand or you can type the function in the input bar with a tickmark after it to tell GeoGebra to derive the function.
Answer:
P (A and A) =
= 
P (A and B and C) =
= 
P (B) = 
P (C) = 
Step-by-step explanation:
The word AND means multiplying the probabilities of getting each outcome. And since we are replacing tiles each time we draw one, the denominator, or the number of total possible outcomes, remains 9 throughout.
Answer:
dawn has $ 1,670 in account 1 and $ 1,570 in account 2
Step-by-step explanation:
<u>C. 42 units</u>
Step-by-step explanation:
I have attached a diagram to help you understand this problem. By looking at the diagram you can see that AE is half of BD, and that BD will be equal to AC. So we need to figure out the length of line BD to get AC.
To do this, you will multiply the length of AE by 2 and set it equal to BD.

Then distribute, multiply what is in the parentheses by 2.

Subtract 4x from both sides.

Subtract 2 from both sides.

x = 8
Now that we have x, we can plug it into the equation to find BD.

BD is equal to 42 units, so we know...
<u><em>AC = 42 units</em></u>
Format: y = mx + b
b = y intercept
Answer: y intercept is -7