There are no feasible solutions for minimum and maximum values for the function z = 2x + 4y that follow the given constraints.
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Answer:
4 liters of 5% solution and 16 liters of 17.5% solution we need.
Step-by-step explanation:
Let us assume that x liters of 5% solution and y liters of 17.5% solution are taken.
So, x + y = 20 ........ (1)
As the final solution is of 15%, so we can write
⇒ 5x + 17.5y = 300 ......... (2)
Now, solving equations (1) and (2) we get,
17.5y - 5y = 200
⇒ 12.5y = 200
⇒ y = 16 liters
Hence, x = 20 - y = 4 liters.
Therefore, 4 liters of 5% solution and 16 liters of 17.5% solution we need. (Answer)
Answer:
1) undefined
2) 0
Step-by-step explanation:
Slope formula:
Problem 1:
(x1, y1) = (-7, 8)
(x2, y2) = (-7, -6)
Plug those 2 points into the slope formula and solve:
Here, you can't divide by 0, so this slope is undefined. An undefined slope would make a completely vertical line on a graph. In this case, the equation of the line would be just:
Problem 2:
(x1, y1) = (-9, -8)
(x2, y2) = (3, -8)
The slope is 0, and that would make a horizontal line on a graph. The equation would be:
You don't actually need to fully work out the slope that way. If you ever have 2 points with the same x-coordinate, the slope has to be undefined. If you ever have 2 points with the same y-coordinate, then the slope has to be 0, assuming it's linear of course. You can see that in the points given, the first 2 have the same x and the second 2 have the same y.