Answer:
Step-by-step explanation:
No solutions....means the lines are parallel...means ur 2 equations have to have the same slope but different y intercepts
y = 2x + 4 and y = 2x + 3
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Infinite solutions...means u have the same line
y = 2x + 4 and 2y = 4x + 8....notice how if u reduce the 2nd one by dividing everything by 2 u get y = 2x + 4...same line
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1 solution....means ur equations will have different slopes and different y intercepts.
y = 2x + 4 and y = 4x + 2
now, u can pick which one u want :)
The slope is 0.10
The y-intercept is 30
The slope, which is 0.10, represents how much is changed per mile driven.
The y-intercept, which is 30, represents the base price to rent the car.
c = 0.10m + 30 represents the situation.
So if we want to know the common solution(s) to a system of 2 equations, So we can just set both equations equal to each other and solve for the x value(s). That’s where I start below;
2x^2-13x+21 = 2x^2+9x-56
2x^2 cancels out and moving everything to one side and anything with an x variable to the other side we have then;
-22x=-77
22x=77 by cancelling the negative signs
x=77/22 therefore x=7/2 or 3.5
Hope this helps you. Any questions please ask.
Answer:
sin⁴x - sin²x
sin²x(sin²x - 1)
(1 - cos²x)(1 - cos²x - 1)
(1 - cos²x)(-cos²x)
-cos²x + cos⁴x
cos⁴x - cos²x
