Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Area of a Rectangle: A = lw
<u>Calculus</u>
Derivatives
Derivative Notation
Implicit Differentiation
Differentiation with respect to time
Derivative Rule [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>
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<u>Step 2: Differentiate</u>
- [Area of Rectangle] Product Rule:

<u>Step 3: Solve</u>
- [Rate] Substitute in variables [Derivative]:

- [Rate] Multiply:

- [Rate] Add:

Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
Answer:
y = 8x
Step-by-step explanation:
Since slope is 8/1 which is equal to 8 and x-intercept is 0.
Put these in slope-intercept equation i.e y = mx + b
X + 5 + 11x = 12x + y
Simplify: 12x + 5 = 12x + y (We are adding x and 11x on the left side)
Subtract 12x from each side makes each zero.
5 = y
So we can plug in and test. I'm picking two random numbers to plug in for x. 10, and 82
x = 10, y = 5
10 + 5 + 11(10) = 12(10) + 5
125 = 125
x = 82, y = 5
82 + 5 + 11(82) = 12(82) + 5
989 = 989
So we verified y = 5
There are 151,200 possible combinations. If you'd like an explanation of my answer, please let me know.
Answer:
2,2,3,4,5
Step-by-step explanation:
Just show how to get the mean, median, mode, and range to justify the answer
Also hey Brailen