Answer:
![f(x) = \frac{x^{2} -5x-6}{x^{2} -4}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B2%7D%20-5x-6%7D%7Bx%5E%7B2%7D%20-4%7D)
Step-by-step explanation:
Let's factorize the 1st option :
⇒ ![f(x) = \frac{x^{2} -5x-6}{x^{2} -4}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B2%7D%20-5x-6%7D%7Bx%5E%7B2%7D%20-4%7D)
⇒ ![f(x) = \frac{x^{2}+x-6x-6 }{(x+2)(x-2)}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B2%7D%2Bx-6x-6%20%7D%7B%28x%2B2%29%28x-2%29%7D)
⇒ ![f(x) = \frac{(x+1)(x-6)}{(x+2)(x-2)}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%28x%2B1%29%28x-6%29%7D%7B%28x%2B2%29%28x-2%29%7D)
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Finding the zeros :
⇒ Factors of numerator should be equated to 0
- x + 1 = 0 ⇒ x = -1
- x - 6 = 0 ⇒ x = 6
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Solution :
![f(x) = \frac{x^{2} -5x-6}{x^{2} -4}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B2%7D%20-5x-6%7D%7Bx%5E%7B2%7D%20-4%7D)
Answer:
Step-by-step explanation:
there are three identical cubes one of lead, other is of aluminium and the third is made of wood.
The cube of lead and aluminium rests at the bottom of the pond.
The buoyant force acting on the body is given by
Buoyant force = volume of the body immeresed x density of fluid x gravity
Here, the volume immeresed for lead and aluminium is same but the volume immersed for wood is lesser than both lead and aluminium, so the buoyant force acting on the lead and aluminium is maximum and minimum for wood.
Answer:
A. (1, 0)
Reason:
When the first equation is graphed: y <u><</u> x + 1, the left side of the line is shaded and when the second equation is graphed: y <u><</u> x^2 -3x, the bottom is shaded.
The green section does not contain solutions. So D is automatically out.
The red section does not contain solutions as well. So C is automatically out.
For choice B, the point goes out of the shaded blue section, so that's out also.
As for choice A its in the blue shaded section, which makes that answer correct.
(when the two equations are within each other and combine a color, then whatever points is within the shaded part is the right answer)
The answer would be centimeter. so it'll be 0.80. hope that helped