The sum of the two <em>rational</em> equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).
<h3>How to simplify the addition between two rational equations</h3>
In this question we must use <em>algebra</em> definitions and theorems to simplify the addition of two <em>rational</em> equations into a <em>single rational</em> equation. Now we proceed to show the procedure of solution in detail:
- (n + 5) / (n² + 3 · n - 10) + 5 / (3 · n²) Given
- (n + 5) / [(n + 5) · (n - 2)] + 5 / (3 · n²) x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)
- 1 / (n - 2) + 5 / (3 · n²) Associative and modulative property / Existence of the multiplicative inverse
- [3 · n² + 5 · (n - 2)] / [3 · n² · (n - 2)] Addition of fractions with different denominator
- (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²) Distributive property / Power properties / Result
To learn more on rational equations: brainly.com/question/20850120
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So I think that number 6 is just dividing by 3 and the second one doesn't like divide so number 7 is no and number 6 is yes
Answer:
0.2222222...
Step-by-step explanation:
Long division or just googl
Answer:
-25
Step-by-step explanation:
You must first pick two points. I picked the points of (4, 400) and (8, 300). You can pick different points and still get the right answer.
Subtract the y's and the x's. Divide the difference of y by the difference of x.
400 - 300 = 100
4 - 8 = -4
100/-4 = -25
The slope, or rate of change, is -25.
Given a <span>graph showing the relationship between daily caffeine consumption and
resting heart rate for some adults.
In the graph, the y-axis is labelled 'resting heart rate (bpm)' while the x-axs is labelled 'total coffee intake (cups)'
From the graph it can be seen that the y-value increases as the x-value increases.
Thus the phrases that describe the
relationship between heart rate and daily intake of caffeine are as follows:
</span>
increasing heart rate and positive correlation
