Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
Implicit Differentiation
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)
Quotient Rule: ![\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5B%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%5D%3D%5Cfrac%7Bg%28x%29f%27%28x%29-g%27%28x%29f%28x%29%7D%7Bg%5E2%28x%29%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
-y - 2x³ = y²
Rate of change of tangent line at point (-1, -2)
<u>Step 2: Differentiate Pt. 1</u>
<em>Find 1st Derivative</em>
- Implicit Differentiation [Basic Power Rule]:

- [Algebra] Isolate <em>y'</em> terms:

- [Algebra] Factor <em>y'</em>:

- [Algebra] Isolate <em>y'</em>:

- [Algebra] Rewrite:

<u>Step 3: Differentiate Pt. 2</u>
<em>Find 2nd Derivative</em>
- Differentiate [Quotient Rule/Basic Power Rule]:

- [Derivative] Simplify:

- [Derivative] Back-Substitute <em>y'</em>:

- [Derivative] Simplify:

<u>Step 4: Find Slope at Given Point</u>
- [Algebra] Substitute in <em>x</em> and <em>y</em>:

- [Pre-Algebra] Exponents:

- [Pre-Algebra] Multiply:

- [Pre-Algebra] Add:

- [Pre-Algebra] Exponents:

- [Pre-Algebra] Divide:

- [Pre-Algebra] Add:

- [Pre-Algebra] Simplify:

LCM= 40
factors of 5- 5, 10, 15, 20, 25, 30, 35, 40*
factors of 8- 8, 16, 24, 32, 40*
Answer:
D.
Step-by-step explanation:
R is remainder and to have equal amounts in each bin she could not put them in one.
240 homes in the county are between $175,000 and $225,000.
The image attached is associated with this question and m in it refers to the mean value which is $225000 here and d refers to the standard deviation which is $25000 here.
Now since m= $225000
and $175000= $225000-$50000= $225000-(2* $25000)= m-2d
Thus, as per the image area covered between m and m-2d= $225000
and $175000 is (34%+14%)of 500 homes= 68% of 500= 240 homes, is the answer.
A random variable X is said to follow a normal distribution if its parameters are mean and standard deviation. Every other distribution can be reduced to a normal distribution.
Learn to know more about normal distributions on brainly.com/question/4079902
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