Topic : Linear equations in two variables.
Given :
- 2x - y = 3 ––– (i)
- - x - y = 3 ––– (ii)
Solution :
Now,
(i) – (ii)
Now, substituting the value of x in Eq (i) :
Therefore,
- <u>The value of x = 0 and y = -3</u>
The president of a company creates a graph of the price of the company’s stock over one year. He describes the graph as follows:
• The price of the stock rose to about $17 before falling to about $3. • There have only been two periods during which the price of the stock decreased. • The price of the stock is expected to increase in the long run. Which graph correctly shows the price of the stock?
2 answers:
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Answer:
∠WVX = 35°
Step-by-step explanation:
Look at the rough draw.
As you can see,
VW ║ YZ
So ∠XWV is congruent to ∠XYZ through alternate interior angle.
We can solve ∠WVX by considering the two other angles, 88° and 57°.
Total angle of a triangle is 180°.
So,
? + 88 + 57 = 180
? + 145 = 180
? = 180 - 145
? = 35°
- y=2x²+6x+1
- y=-4x²+1
Make the equations equal and solve for x
- 2x²+6x+1=-4x²+1
- 6x²+6x=0
- 6x(x+1)=0
- 6x=0 or x+1=0
- x=0 or x=-1
For x=0
- y=-4(0)+1=1
For x=-1
- y=-4(1)+1=-3
The solutions are
- (0,1) and (-1,-3)
Graph attached
