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:
The answers would be 9 and 6
Answer: 4(2x²+9) or 
Step-by-step explanation:
To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.
8x²=-36 [add both sides by 36]
8x²+36=0
When it comes to factoring, we want to pull out numbers or variables that are common in each term.
8x²+36=0 [take out a 4 in each term]
4(2x²+9)=0
It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.
To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).
4(2x²+9)=0 [divide both sides by 4]
2x²+9=0 [subtract both sides by 9]
2x²=-9 [divide both sides by 2]
x²=-9/2 [square root both sides]
or 
Answer:
First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.
Option A is correct.
Step-by-step explanation:
The total width of box is = 32.476
Width of box of T-shirts = 15.438
Width of box of Socks = 3.18
We need to find width of coat box.
The width of coat box can be found as:
Total Width = Width of box of T-shirts + Width of box of Socks + width of coat box
32.476 = 15.438 + 3.18 + width of coat box
32.476 = 18.618 + width of coat box
width of coat box= 32.476 - 18.618
width of coat box = 13.858
So, The Width of coat box = 13.858 inches
First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.
Option A is correct.
Answer:
1/13
Step-by-step explanation:
there are 10 people that use the gym and track and 10 is 1/13 of 130
