Answer:
f(-6) = 1/64
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
- Exponential Rule [Rewrite]:

Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2ˣ
f(-6) is x = -6 for function f(x)
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function]: f(-6) = 2⁻⁶
- Exponential Rule - Rewrite: f(-6) = 1/2⁶
- Exponents: f(-6) = 1/64
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Answer: Divide the first equation, −4x + 8y = 16, by 2
Step-by-step explanation:
Answer:
38
Step-by-step explanation:
The simplest (almost trivial) solution is to add the two inequalities:
(x +3y) +(3x +2y) ≤ (13) +(25)
4x +5y ≤ 38
The maximum value of P is 38.
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Perhaps more conventionally, you can graph the equations, or solve them to find the point of intersection of their boundary lines. That point is (x, y) = (7, 2), which is the point in the doubly-shaded solution space that gives the maximum value of P (puts the objective function line farthest from the origin).
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In the attached graph, we have been a little sloppy, not applying the constraints that x, y ≥ 0. For the purpose of finding the requested solution, that is of no consequence.
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