Answer:
Step-by-step explanation:
1. you distrubute the -4 to the -2x and +7.
2.you combine like terms.
3.you get X in one side of the equation.
4.You divide 1 by 6.
Answer:
They are parrellel and share the same angle conguence.
Subtract the difference from the total, then divide by 2, that would be the age of the youngest, then add the difference to that for the age of the oldest.
37 - 5 = 32
32 / 2 = 16
The youngest is 16.
16 + 5 = 21
The oldest is 21.
The ages are 16 and 21.
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)
Answer:
Step-by-step explanation:
Given
--- selection
Required
Probability of choosing a pair with only B, C and F
The total selection is: 36
This is calculated as thus:
--- First selection can be any of the 6 cards
--- Second selection can be any of the 6 cards [No restriction]
So, we have:
The pair of only B, C or F is:
So, the probability is:
Simplify
