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Dovator [93]
3 years ago
11

Evaluate 3/7r + 5/8s when r = 14 and s = 8.

Mathematics
1 answer:
Ahat [919]3 years ago
6 0
In this question, plug in 14 for r and 8 for s, which will look like 3/98 + 5/64. Solve, and you will get 0.109 = 0.11.
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Find the LCD of the given rational equation: -3/x+2 + 5x/x-1 = x+2/x^2-3x+2
Natali [406]
Answer:

(x - 1)( x - 2) (x + 2) = x³ -x² -4x + 4.

Explanation:

1) Given equation:

    3             5x            x + 2
- ------- +  -------- =  ---------------
 x + 2        x - 1       x² - 3x + 2

2) So, the denominators are x + 2, x - 1, and x² - 3x + 2

3) The LCD is the product of the common and non common factors raised to the greatest power.

4) x + 2, and x - 1 are already prime factors

5) Factor x² - 3x + 2

x² - 3x + 2 = (x - 2)(x - 1)

6) Then, the factors are x + 2, x - 1, and x - 2, and the LCD is the product of them:
(x - 1)( x - 2) (x + 2)

7) If you expand the products (distributive property) you get:
x³ -x² -4x + 4.



5 0
3 years ago
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