2 (l + w) = 36
l + w = 18
2x + 7x = 18
9x = 18
x = 2
the length of the sides
l = 2x
l = 2(2)
l = 4
w = 7x
w = 7(2)
w = 14
Answer:
49a^8, I hope this helps :)
3. (24 + x) / 2 > 58 <== ur inequality
(24 + x) > 58 * 2
24 + x > 116
x > 116 - 24
x > 92....so she would have to score at least 93 points
4. 6x - 60 > = 510 <== ur inequality
6x > = 510 + 60
6x > = 570
x > = 570/6
x > = 95 <== solution
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)
