Answer:

General Formulas and Concepts: <u>
</u>
<u>Algebra I</u>
- Exponentials [Fractions] - Are radicals
- Exponential Rule [Rewrite]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule: ![\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%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)
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Differentiate</u>

- Product Rule:
![\displaystyle y' = \frac{d}{dx}[\sqrt{x}] \cdot (8x - 5) + \sqrt{x} \cdot \frac{d}{dx}[(8x - 5)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Csqrt%7Bx%7D%5D%20%5Ccdot%20%288x%20-%205%29%20%2B%20%5Csqrt%7Bx%7D%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%288x%20-%205%29%5D)
- Rewrite:
![\displaystyle y' = \frac{d}{dx}[x^{\frac{1}{2}}] \cdot (8x - 5) + \sqrt{x} \cdot \frac{d}{dx}[(8x - 5)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5D%20%5Ccdot%20%288x%20-%205%29%20%2B%20%5Csqrt%7Bx%7D%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%288x%20-%205%29%5D)
- Basic Power Rule:

- Simplify:

- Rewrite:

- Multiply:

- Rewrite:

- Add/Rewrite:

D. Is the one which has slope -3
It is because the point of it’s slopes are
( 0,0) and (1,-3)
So the slope will be
(Y2 - Y1)/(X2-X1)
Hence -3 is the slope of graph D.
Answer:
Answer below
Step-by-step explanation:
A base is the number of digits in a number system. For example in the decimal number system we use the 10 digits ( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ). So it has the base 10.
HOPE IT HELPED
The answer is choice C) All real numbers from 0 through 35.
The domain is the set of allowed inputs (x). The points on this graph have x coordinates that span from x = 0 to x = 35. Because x is time in minutes, we can have fractions of a minute (eg: x = 7.5 ---> 7 and a half minutes). So we won't just have integers.