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Answer:
there is no price for which weekly revenue would be 1800
Step-by-step explanation:
If there is a solution to the equation ...
r = 1800 = -4p² +40p +1287
then there is a solution to ...
4p² -40p +513 = 0
Comparing this to the standard form quadratic equation
we can match coefficients to see that ...
- a = 4
- b = -40
- c = 513
The discriminant of a quadratic is ...
When we fill in the numbers and evaluate, we find the discriminant is negative. This tells us that solutions to the equation are complex—there are no real solutions, meaning there is no price that will give $1800 weekly revenue.
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A graph shows the highest weekly revenue obtainable at any price is $1387, so there is no price that will give revenue of $1800.
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The quadratic equation that would model this scenario is
Let us take the side of the square = x
Area of the square = x²
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Width of the rectangular garden = x-16
So, the area of the new vegetable garden = length*width
Area of the new or rectangular vegetable garden = 2x(x-16)
<h3>What is a quadratic equation?</h3>The polynomial equation whose highest degree is two is called a quadratic equation. The equation is given by coefficient
non-zero.
Since it is given that
Area of square garden = area of the rectangular garden
Thus, the quadratic equation that would model this scenario is
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