Answer:
<em>The correct option is: C) 4x(3y + 7z)</em>
Step-by-step explanation:
Given expression is:
First we need to find the GCF(Greatest common factor) of and and then we will factor out that GCF.
We can see that the common factors are:
So, the GCF will be:
Now factoring out from the given expression, we will get.....
So, the complete factorization will be:
Answer:
Volume = 50.24 ft^3.
Step-by-step explanation:
Substitute the given values in the formula:
V = 1/3 pi r^2 h
= 1/3 * 3.14 * 4^2 * 3
= 50.24 ft^3.
Answer:
f'(1) = 2
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>
The definition of a derivative is the slope of the tangent line.
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x²
Point (1, f(1))
<u>Step 2: Differentiate</u>
- Basic Power Rule: f'(x) = 2 · x²⁻¹
- Simplify: f'(x) = 2x
<u>Step 3: Find Slope</u>
<em>Use the point (1, f(1)) to find the instantaneous slope</em>
- Substitute in <em>x</em>: f'(1) = 2(1)
- Multiply: f'(1) = 2
This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)