Find the maximum value of C=3x+2y
1 answer:
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Answer:
1.)
2.)
3.)
4.)
Step-by-step explanation:
The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:
However, with certain graphs, the slope can be found in a simpler manner.
- You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.
- Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each
- When you move up, the number will be positive
. If you move down, the number will be negative
.
- If you move to the right, the number will be positive
. If you move to the left, the number will be negative
.
The two possible positions of point P are:
(3, -5) and (0.6, 5.8)
<h3>How to find the two possible positions of point P?</h3>
We know that point P lies on the line:
y = 4 - 3*x
And that the distance between P and the origin is √34, then if the coordinates of point P are (x, y), we have that:
Now, we can replace "y" in the distance equation by the linear equation, and also remove the square roots:
Now we can solve the quadratic equation for x:
The solutions are:
So the two solutions are:
x = (24 + 36)/20 = 3
x = (24 - 36)/20 = -0.6
To get the points, we need to evaluate y on these values:
y = 4 - 3*3 = -5 So we have P = (3, -5)
y = 4 - 3*(-0.6) = 2.2 So we have the point (0.6, 5.8)
There are the two possible positions of point P.
If you want to learn more about quadratic equations:
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