Organize the following polynomial expressions from least to greatest based on their degree: x 2xyz 3x y z 2x3y y2x − 3x 4 9x3yz
1 answer:
Using polynomial concepts, it is found that the sorting of the polynomial expressions from least to greatest based on their degree is given by: I, III, II, IV.
<h3>What is the degree of a polynomial?</h3>The degree of a polynomial is given by it's largest exponent.
In this problem, the <em>polynomials </em>are given by:
- I: x + 2xyz.
- II: 9x³y².
- III: 18x² + 5ab - 6y
- IV:
Hence, the respective degrees are: 1, 3, 2, 4, and the ordering from least to greatest is: I, III, II, IV.
You can learn more about the degree of a polynomial at brainly.com/question/7592815
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The equation of direct variation is,
Substitute the values of <em>y</em> and <em>x</em>.
So, the obtained equation will be <em>y</em>=1.35(x).
Let's check with the values of <em>x</em>.
1) If <em>x</em>=4
2) If <em>x</em>=2
3) If <em>x</em>=-2
In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)
Part (a) asked for the equation of the line in y = mx+b form
That would be y = -2x+9
This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.
The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9
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Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below
