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Answer:
f(-6) = 1/64
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right<u> </u>
<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
Answer:
y = x - 2
Step-by-step explanation:
Given coordinate:
( − 6 , − 1 )
Equation of the given line is 6x− y = 7
Unknown:
Equation of the line that passes through the point and is perpendicular = ?
Solution:
A perpendicular line will have a slope that is of negative inverse to the one given;
6x - y = 7
-y = -6x + 7
y = 6x - 7
According to y= mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
Therefore, the slope of the line = 6
Perpendicular to this =
The new line will be;
Let find the intercept;
-1 = x (-6) + c
-1 = 1 + c
c = -2
The new line is;
y = x - 2