Which graph represents the solution to the given system y=-3x-4 and y=3/4x+2
1 answer:
Answer:
See attached picture
Step-by-step explanation:
To graph, use y=mx+b as a guide where m is the slope and b is the y-intercept.
y=-3x-4
Start at -4 on the y-axis. Plot a point. This is the y-intercept b. From this point count down 3 units and 1 unit to the right. Plot this point and connect.
y=3/4x +2
Start at 2 on the y-axis. Plot a point. This is the y-intercept b. From this point count up 3 units and 4 units to the right. Plot this point and connect.
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The new pressure will be 8 kPa.
Explanation
Lets assume, the pressure of the gas is P and volume is V.
P is inversely proportional to V means : , where
is a proportional constant.
First, it is given that, Volume of hydrogen is 3.67 liter with a Pressure of 4 kPa
Now plugging V= 3.67 and P= 4 in the above equation:
Now, we are moving all of the hydrogen to a 1.835 liter container. That means now the Volume is 1.835 liter
Plugging V= 1.835 and k= 14.68 into the original equation ,
So, the new pressure will be 8 kPa.