Answer:
175
Step-by-step explanation:
give brainlist
Answer:
Step-by-step explanation:
27x + 12y = -216
8x - 12y = -64
35x = -280
x= -8
2(-8) - 3y = -16
-16 - 3y = -16
-3y = 0
y = 0
(-8, 0)
Answer:
7.324840764
Step-by-step explanation:
23/3.14=7.324840764
The value of the expression 3ac - b² - c² is -61.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The expression will be solved as below:-
3ac - b² - c² = ( 3 x 4 x -3 ) - ( 4 )² - ( -3 )²
= ( -36 - 16 - 9 )
= ( -61 )
Therefore, the value of the expression 3ac - b² - c² is -61.
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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)