Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
The equilibrium price is $12.
<h3>What is the
equilibrium price ?</h3>
Equilibrium is the point where the quantity demanded is equal to the quantity supplied. The price at equilibrium is known as the equilibrium price and the quantity at equilibrium is known as the equilibrium quantity.
When shown on a graph, equilibrium is the point where the quantity demanded curve is equal to the quantity supplied curve.
When there is equilibrium, the equation of quantity demanded would be equal to the equation of quantity supplied.
-280 + 40p = 800 - 50p
In order to determine the value of p, take the following steps:
Combine similar terms: 800 + 280 = 40p + 50p
Add similar terms = 1080 = 90p
Divide both sides of the equation by 90 : 1080 / 90 = 12
To learn more about equilibrium, please check: brainly.com/question/26075805
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Answer:
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Step-by-step explanation:
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Answer:
2
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Step-by-step explanation:
