The answer should be C.
good luck :)
Answer:
x = 1/2
and
y = -1
Step-by-step explanation:
8x + 3y = 1
4x + 2y = 0
Multiply 4x + 2y = 0 by 2
8x + 3y = 1
8x + 4y = 0
8x + 4y = 0 minus 8x + 3y = 1
y = -1
For 8x + 3y = 1 plug in y = -1
8x + 3(-1) = 1
8x - 3 x 1 = 1
8x - 3 = 1
Add 3 to both sides
8x - 3 + 3 = 1 + 3
8x = 4
Divide both sides by 8
8x/8 (cancels out) = 4/8
x = 1/2
Answer:
Point N(4, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Functions
- Function Notation
- Terms/Coefficients
- Anything to the 0th power is 1
- Exponential Rule [Rewrite]:
- Exponential Rule [Root Rewrite]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<u /><u />
<u /><u />
<u />
<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Root Rewrite]:
- Chain Rule:
- Basic Power Rule:
- Simplify:
- Multiply:
- [Derivative] Rewrite [Exponential Rule - Rewrite]:
- [Derivative] Rewrite [Exponential Rule - Root Rewrite]:
<u>Step 3: Solve</u>
<em>Find coordinates</em>
<em />
<em>x-coordinate</em>
- Substitute in <em>y'</em> [Derivative]:
- [Multiplication Property of Equality] Multiply 2 on both sides:
- [Multiplication Property of Equality] Multiply √(x - 3) on both sides:
- [Equality Property] Square both sides:
- [Addition Property of Equality] Add 3 on both sides:
<em>y-coordinate</em>
- Substitute in <em>x</em> [Function]:
- [√Radical] Subtract:
- [√Radical] Evaluate:
∴ Coordinates of Point N is (4, 1).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
190 Jeans
Step-by-step explanation:
The daily production cost of the jeans manufacturer is given as:
To determine the number of Jeans,x that should be produced daily to minimize cost, C. We take the derivative of C and solve for its critical points.
Therefore, to minimize daily cost, 190 Jeans is the number of jeans that should be produced daily.
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