Use substitution to solve each system. 2y - 8 = 6x y = 3x + 2
2 answers:
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Answer:
- D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Step-by-step explanation:
<em>See the picture for better visual</em>
Take segments ST and S'T'. If we extend them they will intersect at right angle.
It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.
The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.
<u>This rotation rule is:</u>
- (x, y) → (y, -x)
We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.
<u>We now can conclude the correct choice is D:</u>
- A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Answer:
Equilibrium quantity = 26.92
Equilibrium price is $31.13
Step-by-step explanation:
Given :Demand function :
Supply function :
To Find : find the equilibrium quantity and equilibrium price.
Solution:
Demand function : --A
Supply function : ---B
Now to find the equilibrium quantity and equilibrium price.
Solve A and B
Subtract B from A
So, equilibrium quantity = 26.92
Substitute the value of q in A
So, equilibrium price is $31.13