Answer:
f(-x) = x² - 9x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
f(x) = x² + 9x - 6
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function f(x)]: f(-x) = (-x)² + 9(-x) - 6
- [Order of Operations] Simplify: f(-x) = x² - 9x - 6
Answer: The height of fir tree is 9 meters and the height of pine tree is 12 meters.
Step-by-step explanation:
Given : The combined height of one fir tree and one pine tree = 21 meters.
Since, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.
Let x be the height of fir tree and y be the height of pine tree.
Then we get the following equations:
Adding (1) and (2) we get
Substitute the value of x in (1), we get
Hence, the height of fir tree is 9 meters and the height of pine tree is 12 meters.
The measure of the m∠IUV using the addition postulate is equivalent to 82 degrees
<h3>Lines and angles</h3>
A line is defined as the shortest distance between two points while an angle is the point where two lines meet.
Given the following measure of angles
m∠TUI = 65° and
m∠TUV = 147°
Required angle
m∠IUV
Using the addition postulate below
m∠TUV = m∠TUI + m∠IUV
Substitute the given parameters
147 = 65 + m∠IUV
m∠IUV = 147 - 65
m∠IUV = 82 degrees
Hence the measure of the m∠IUV using the addition postulate is equivalent to 82 degrees
Learn more on addition postulate here: brainly.com/question/2134445
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