Hello,
==>r²=16/36=4/9
==>r=2/3 or r=-2/3
==>r²=16/36=4/9
==>r=2/3 or r=-2/3
A kitchen sink faucet streams 0.5 gallon of water in 10 seconds. A bathroom sink faucet stream 0.75 gallon of water in 18 second
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x = or x = -
consider the factors of the product 6 × - 4 = - 24 which sum to the coefficient of the x- term ( + 5)
the factors are + 8 and - 3 ( split the middle term using these factors
6x² - 3x + 8x - 4 = 0 ( factor by grouping )
3x(2x - 1) + 4(2x - 1 ) ( take out common factor of (2x - 1) )
= (2x - 1)(3x + 4) = 0
equate each factor to zero and solve for x
2x - 1 = 0 ⇒ x =
3x + 4 = 0 ⇒ x = -