Equations:
4x - 2y = 12
-4x - 9y = 54
Multiple them in both sides
4x - 2y - 4x - 9y = 12 + 54
-2y - 9y = 66
-11y = 66
y= -6
If y= -6 then put y in first or second equation.
I put it in first equation
4x - 2.(-6) = 12
4x + 12 = 12
x= 0
Therefore
(x,y) = (0, -6)
Answer:
$1683.50
Step-by-step explanation:
You are expected to know that a "mill" is one thousandth of a dollar. In this context, it is the amount of tax on one dollar of assessed valuation. So, the tax amount is found by multiplying the valuation by 18.5/1000:
tax = 0.0185 · $91,000 = $1683.50
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Functions
- Function Notation
- Terms/Coefficients
- Exponential Rule [Rewrite]:

<u>Calculus</u>
Derivatives
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />

<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Rewrite]:

- Basic Power Rule:

- Simplify:

- Rewrite [Exponential Rule - Rewrite]:

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

- Evaluate exponents:

- Divide:

Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e