Answer:

General Formulas and Concepts:
<u>Calculus</u>
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule: ![\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29g%28x%29%5D%3Df%27%28x%29g%28x%29%20%2B%20g%27%28x%29f%28x%29)
Chain Rule: ![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Rewrite</u>

<u>Step 3: Differentiate</u>
- Product Rule [Basic Power/Chain Rule]:

- Simplify:

- Rewrite:

- Add:

Answer:
y= 2x - 4
Step-by-step explanation:
The y-intercept is 4 and the rise and run is 2/1
Probability of anything =
(number of possible successful outcomes)
divided by
(total possible number of outcomes) .
There are 36 total marbles in the bag, so there are 36 total
possible outcomes of one draw.
The successful outcomes are all the possible draws that are
not blue. There are 28 of those.
So the probability of a non-blue selection is
28/36 = 7/9 = 77.8% (rounded)
Answer:
23 females are right handed and 9 are left handed
Step-by-step explanation:
So to get this answer :
18 OF THE 41 RIGHT HANDED EMPLOYEES ARE MALE.
The statement means that there are 41 right handed employees and 18 of those are male thus the remaining are FEMALE.
To find the number of right handed employees who are female just subtracted 18 from 41 ( becaus etotal number of right handed males is 18 and the total number of right handed employees is 41.)
SO 23 FEMALES IN THE COMPANY ARE RIGHT HANDED.
Because 23 females are right handed that means to get the number of left handed females you subtract the total number of right handed females from the total number of females in the company THUS:
32 - 23 = 9 LEFT HANDED FEMALES
HOPE IT HELPED