Answer:
48 feet of fence
Step-by-step explanation:
A rectangle has 4 sides, the parallel sides are equal to each other in length.
If Hector used 14 feet of fence on the long side, he used 28 feet in total for both long sides.
If Hector used 10 feet for the width/short side, he used 20 feet in total for both short sides.
Put simply: (14 x 2) + (10 x 2) = 48 feet of fence in total
Answer:
100 packets
Step-by-step explanation:
Given :
Cost = fixed cost + variable cost
Fixed cost = $500
Variable cost = $10
Sales price = $15
Let :
Number of packets = x
To break even :
fixed cost + variable cost = sales made
500 + 10x = 15x
500 = 15x - 10x
500 = 5x
x = 500 / 5
x = 100
100 packets
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:

Answer:
B
Step-by-step explanation: