1. Solve the equation " 5/x-5 = 6/x " by graphing. Find the solution algebraically to verify your graph. Are there any values for x that are not found in the domain? In other words, are there any values for x that make the equation undefined? What are they?
2. If a gas was in a 7.5 liter flexible container under 4 atmospheres of pressure, how would the volume of the gas change and what would it be if the pressure was increased to 6.5 atmospheres, keeping all other variables constant?
2. If a gas was in a 7.5 liter flexible container under 4 atmospheres of pressure, how would the volume of the gas change and what would it be if the pressure was increased to 6.5 atmospheres, keeping all other variables constant?
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1) 5x = 6x-30
x = 30
2) P1V1 = P2V2
7.5*4 = 6.5V2
V2 = 4.62 L
x = 30
2) P1V1 = P2V2
7.5*4 = 6.5V2
V2 = 4.62 L
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1 ) LET 1/x=y
so , 5y-6y=5
so ,y= -5
so x = - (1/5)
U see , solving it we find it to be a linear eqn.....so it will have single soln
But if u put x=0 , soln is undefined bcoz infinite-infinite is not equals to 0.
2 ) pv=PV
7.5*4=6.5*V
So V=4.61 lts
Done !!
so , 5y-6y=5
so ,y= -5
so x = - (1/5)
U see , solving it we find it to be a linear eqn.....so it will have single soln
But if u put x=0 , soln is undefined bcoz infinite-infinite is not equals to 0.
2 ) pv=PV
7.5*4=6.5*V
So V=4.61 lts
Done !!