Both expression have the same denominator: 9x²-1. Thus it must not be 0.
9x²-1=(3x-1)(3x+1)=0, resulting x=+-1/3.
Restrictions: x in R\{-1/3, 1/3}
Adding those expressions:
E=(-x-2)/(9x²-1 ) + (-5x+4)/(9x²-1)=
(-x-2-5x+4)/(9x²-1)=(-6x+2)/(9x²-1)=
(-2)(3x-1)/(9x²-1)=-2/(3x+1)
E=-2/(3x+1)
Add them all together: 36
Hockey card probability: 4/36
Simplify: 1/9
Answer:
farmers market sold 4/9 plums in bushel
Step-by-step explanation:
We know that at the beginning of the day we have 7/9 of a bushel of plums and that after a while there are 1/3 of a bushel of plums, so to calculate how many were sold we have to subtract the bushel of plums that were left from the initial ones
7/9 - 1/3
if we want to do this subtraction we have to find a fraction equivalent to 1/3 that can be subtracted from 7/9
1/3 = (1 * 3) / (3 * 3) = 3/9
now we are just the top and leave the denominator the same as before
7/9 - 3/9 = 4/9
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