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:
smallest number=626
middle number=628
larger number=630
Step-by-step explanation:
To find the numbers, let's use n as the variable. Since we know that the numbers are consecutive even numbers, we know that they increase by 2. For example, we could have 2+4+6=12.
Knowing that the consecutive numbers increase by two's, we can use this.
smallest number: n
middle number: n+2
larger number: n+4
All we have to do is add these together and set it equal to 1884.
n+(n+2)+(n+4)=1884 [combine like terms]
3n+6=1884 [subtract both sides by 6]
3n=1878 [divide both sides by 3]
n=626
Now that we know n=626, we also know that the other numbers are 626, 628, 630 respectively.
Yeah, x= 7/2 and y= -5/2
Please mark as brainliest and I hope this helps
Do 2*3 then do the answer divided by 18 to get the answrr
158 boys, and 163 girls, do this by dividing 321 by two(do get how many of each gender if #s were equal) subtract 2.5 to get boys, and add 5 to that to get girls
