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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Answer:
0.0538% (3 sf)
Step-by-step explanation:
annual = 1 yr = 12 months = 52 weeks
2.8% / 52 = 0.053846153
X = 1 hr lessons and y = 1/2 hr lessons
x + y = 35......y = 35 - x
40x + 25y = 1115
40x + 25(35 - x) = 1115
40x + 875 - 25x = 1115
40x - 25x = 1115 - 875
15x = 240
x = 240/15
x = 16 <=== there are 16 one-hr lessons
and 19 half-hr lessons
Firstly, brainly allows 1 question per question. So do not try this again.
Lets make the fractions all like terms.
242/4 - 37/4=205/4. Lets now make this a mixed fraction.
By doing 205/4, we find out that 4 goes in less than 51 times.
1. 51 1/4.
2. 11/2 = 66/12.....so 66/12 - 29/12= 37/12. Make it mixed fraction: 3 1/12.
3. 36/5=72/10. 72/10 - 37/10 = 35/10. As a mixed it is 3 1/2
4. 35/3 - 17/2 can be rewritten by finding their GCM (Greatest Common Multiple). In this case it is 6.
70/6 - 51/6 = 19/6. 3 1/6.
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Answer:
C
Step-by-step explanation:
Since the number outside of the parentheses is -5, the negative factor means that the line is reflected across the x-axis.
