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
#SPJ1
Answer:
10 cm
Step-by-step explanation:
add the two together because all the points lie on the same line and you get 10cm.
For the first question;
To calculate the interest accrued from the total amount and compare it from the $300 that is initially paid for the card, there's a need to get 8.75% from $2,348.62. This is possible by multiplying $2,348.62 by 0.0875, which will give a result of $205.50. So it's difference from $300 is $94.50.
For the second question;
Given the interest is $205.50, it needs to be added to the total amount which generates a result of $2554.12. Next, deduct $300 from it for the payment made in the previous month, and divide it by $600. This will result to an answer of 3.76 - the number of months to pay off the debt.
Answer:
(8,-3)
Step-by-step explanation:
<u>Midpoint Formula: </u> 
Plug in your numbers from the coordinates:
(10+6/2, -7+1/2)
(16/2, -6/2)
(8,-3)
Answer:
The solutions are
Step-by-step explanation:
we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
square root both sides
