Answer:
The answer is 357
Step-by-step explanation:
Given:
The image of a lens crosses the x-axis at –2 and 3.
The point (–1, 2) is also on the parabola.
To find:
The equation that can be used to model the image of the lens.
Solution:
If the graph of polynomial intersect the x-axis at c, then (x-c) is a factor of the polynomial.
It is given that the image of a lens crosses the x-axis at –2 and 3. It means (x+2) and (x-3) are factors of the function.
So, the equation of the parabola is:
...(i)
Where, k is a constant.
It is given that the point (–1, 2) is also on the parabola. It means the equation of the parabola must be satisfy by the point (-1,2).
Putting
in (i), we get
![2=k(-1+2)(-1-3)](https://tex.z-dn.net/?f=2%3Dk%28-1%2B2%29%28-1-3%29)
![2=k(1)(-4)](https://tex.z-dn.net/?f=2%3Dk%281%29%28-4%29)
![2=-4k](https://tex.z-dn.net/?f=2%3D-4k)
Divide both sides by -4.
![\dfrac{2}{-4}=k](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B-4%7D%3Dk)
![-\dfrac{1}{2}=k](https://tex.z-dn.net/?f=-%5Cdfrac%7B1%7D%7B2%7D%3Dk)
Putting
in (i), we get
![y=-\dfrac{1}{2}(x+2)(x-3)](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B2%7D%28x%2B2%29%28x-3%29)
Therefore, the required equation of the parabola is
.
Note: All options are incorrect.
12 x 12 x 12 = 1728
6 x 6 x 6 = 216
8 x 8 x 8 = 512
216 +512 = 728
1728 - 728 = 1000
cube root of 1000 = 10
cube is 10 cm
Answer:
-9
Step-by-step explanation: