Answer: x=30 (Sorry for wasting your time if the answer is wrong)
Step-by-step explanation:
I did it the lazy way
80-20=60
60÷2=30
(If this is completely wrong then again, sorry)
Answer:
14
Step-by-step explanation:
Answer:
Point N(4, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Functions
- Function Notation
- Terms/Coefficients
- Anything to the 0th power is 1
- Exponential Rule [Rewrite]:
- Exponential Rule [Root Rewrite]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<u /><u />
<u /><u />
<u />
<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Root Rewrite]:
- Chain Rule:
- Basic Power Rule:
- Simplify:
- Multiply:
- [Derivative] Rewrite [Exponential Rule - Rewrite]:
- [Derivative] Rewrite [Exponential Rule - Root Rewrite]:
<u>Step 3: Solve</u>
<em>Find coordinates</em>
<em />
<em>x-coordinate</em>
- Substitute in <em>y'</em> [Derivative]:
- [Multiplication Property of Equality] Multiply 2 on both sides:
- [Multiplication Property of Equality] Multiply √(x - 3) on both sides:
- [Equality Property] Square both sides:
- [Addition Property of Equality] Add 3 on both sides:
<em>y-coordinate</em>
- Substitute in <em>x</em> [Function]:
- [√Radical] Subtract:
- [√Radical] Evaluate:
∴ Coordinates of Point N is (4, 1).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
The answer is D Cause the amount of money they make per car plus the amount of money they make from tips times the amount of cars they wash and add them together should give you how much total money they made.
Total sq units of dotted rectangle = 3*5=15sq units
Shaded area= 15-(3*4*1/2+2*5*1/2)
=15-(6+5)
= 15-11
= 4 sq units