Answer:
x = - 4
Step-by-step explanation:
First do distributive property
5x-15=10x+5
then add 15
5x=10x+20
-10x
-5x=20
divide 5
x=-4
Answer:
Step-by-step explanation:
58 cubic centimeter = 58 millimeter
Answer:
580
Step-by-step explanation:
$60 x 8 = 480
480 + 100 = 580
Arrange the numbers in order from smallest to largest:
28, 35, 40, 40, 45, 52, 54, 58, 60
Median is the middle value = 45
Mode is the number that appears most = 40
Mean is the average. Add the numbers and divide:
412/9 = 45.77 = 45.78
Range is difference between highest and lowest = 60 - 28 = 32
Answer:
b.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
- Exponential Rule [Rewrite]:
- Exponential Rule [Root Rewrite]: <u>
</u>
<u>Calculus</u>
Derivatives
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em /><em />
<em />
<u>Step 2: Differentiate</u>
- Rewrite function [Exponential Rule - Root Rewrite]:
- Chain Rule:
- Basic Power Rule:
- Simplify:
- Rewrite [Exponential Rule - Rewrite]:
<u>Step 3: Evaluate</u>
- Substitute in <em>x</em> [Derivative]:
- Substitute in function values:
- Exponents:
- Multiply:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e