Answer:
The answers I have come are as follows.
-26
-14
-4
16
Answer:
Step-by-step explanation:
<u>Simplify the numerator:</u>
- (2x - y)/(2x + y) + (2x + y)/(3y - 6x) + 8xy/(12x² - 3y²) =
- (2x - y)/(2x + y) - (2x + y)/3(2x - y) + 8xy/3(2x + y)(2x - y) =
- [3(2x - y)² - (2x + y)² + 8xy] / [3(2x + y)(2x - y)] =
- [12x² - 12xy + 3y² - 4x² - 4xy - y² + 8xy] / [3(2x + y)(2x - y)] =
- [8x² - 8xy + 2y²] / [3(2x + y)(2x - y)] =
- 2{2x - y)² / [3(2x + y)(2x - y)] =
- 2(2x - y) / [3(2x + y)]
<u>Simplify the denominator:</u>
- (4x²y - 2xy²) / (6x + 3y) =
- 2xy(2x - y) / [3(2x + y)]
<u>Now simplify the remainder of the expression:</u>
- 2(2x - y) / [3(2x + y)] × [3(2x + y)]/[2xy(2x - y}] =
- 1/xy
To be able to determine the unknown range of the number with tolerance given, first we need to determine the 4% of 500. This can be done by multiplying 500 by the decimal equivalent of 4% which is equal to 0.04.
tolerance = (500) x (0.04) = 20
Lower limit: The lower limit is determined by subtracting 20 from 500.
Lower limit = 500 - 20 = 480
Upper limit: The upper limit is determined by adding 20 to the base value 500.
Upper limit = 500 + 20 = 520
The values, therefore, rang from 480 to 500.
<em>ANSWER: 480 - 520</em>
