Answer:
first one
Step-by-step explanation:
if you plug the inputs into the equation, you can see that all of the outputs match the ones in the first chart
0 --> 2
1 --> -1
2 --> -4
Answer:
The equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.
Step-by-step explanation:
Market equilibrium occurs in those markets in which the quantity demanded by consumers equals the quantity supplied by firms. In this state, the equilibrium point has its corresponding equilibrium quantity and price. That is, the equilibrium point is that point where, for a given price, the quantity supplied is equal to the quantity demanded.
The supply and demand curves represent the quantities that consumers are willing to buy and producers are willing to sell at that price respectively.
Being:
- demand equation: 6x+p-50=0 ⇒ 6x= 50 - p ⇒
- the supply equation 6x-p+14=0 ⇒ 6x= p - 14 ⇒
Since when the market reaches equilibrium, the quantity demanded equals the quantity supplied and x representing the quantity demanded in units of thousand, then:

Solving, you get:

50 - p= p -14
50 - p +14 = p
50 +14= p + p
64= 2*p

P=32 dollars
This value is the equilibrium price. Replacing this value in the demand and supply equation, the equilibrium quantity is obtained, which should be the same for both cases:
- demand equation:
⇒ x= 3 Thousand units
- the supply equation
⇒ x=3 Thousand units
So, <u><em>the equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.</em></u>
In its graphical representation, the equilibrium point can be seen as that point where the supply and demand curves intersect. You can see this in the attached image, where the blue line represents the supply and the red line the demand.
Answer: One solution
Step-by-step explanation:
y = 3x + 3
y = -2x + 3
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To solve this, you need to understand a few things:
a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions
b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions
c) If two lines have different slopes (and/or y-intercepts), they have one solution
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These two lines have different slopes but the same y-intercept (condition c)
So they have one solution
Answer:
3rd Option
Step-by-step explanation:
When you find the ratio of the 2 triangles, it is 14/5, so the 2nd option and 4th option are out of the park (The triangles are indeed similar). You are left with options 1 and 3. Option 3 is the best answer as you have to match the vertices of each triangle to each other.
360 degrees in a circle
360 degrees minus 90 degrees (the right angle of the square) = 270 degrees
270 degrees divided by 2 = 135 degrees
f = 135 degrees