The solution of the equation (√x-8) + 2 = 7 is x = 13.
According to the given question.
We have an equation

Since, we solve the above equation for x .
Therefore,

⇒ (√x - 8) = 7 - 2
⇒ (√x - 8) = 5
Squarring both the sides.
⇒ x - 8 = 5
⇒ x = 5 + 8
⇒ x = 13
Hence, the solution of the equation (√x-8) + 2 = 7 is x = 13.
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Step-by-step explanation:
for such regular figures the volume is always
ground area × height.
the volume of the green box (bar on a rectangle) at the bottom is therefore
16×7×3 = 336 in³
the volume of the red object on top (based on a right-angled triangle) we get
5×3/2 × 6 = 5×3×3 = 45 in³
so, the total volume is the sum of both sub-volumes :
336 + 45 = 381 in³
Answer:
Value of
is 8.
Step-by-step explanation:
Given function,
![f(x)=\big[\frac{x}{2}\big]](https://tex.z-dn.net/?f=f%28x%29%3D%5Cbig%5B%5Cfrac%7Bx%7D%7B2%7D%5Cbig%5D)
we have to find : 
It is known that,
=the greatest integer <=x
Then,
![f(x)=\big[\frac{x}{2}\big]](https://tex.z-dn.net/?f=f%28x%29%3D%5Cbig%5B%5Cfrac%7Bx%7D%7B2%7D%5Cbig%5D)
![\implies x=f^{-1}(\big[\frac{x}{2}\big])](https://tex.z-dn.net/?f=%5Cimplies%20x%3Df%5E%7B-1%7D%28%5Cbig%5B%5Cfrac%7Bx%7D%7B2%7D%5Cbig%5D%29)
Taking x=8 we get,
![f^{-1}(\big[\frac{x}{2}\big])=x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28%5Cbig%5B%5Cfrac%7Bx%7D%7B2%7D%5Cbig%5D%29%3Dx)
![\implies f^{-1}(\big[\frac{8}{2}\big])=8](https://tex.z-dn.net/?f=%5Cimplies%20f%5E%7B-1%7D%28%5Cbig%5B%5Cfrac%7B8%7D%7B2%7D%5Cbig%5D%29%3D8)
![\implies f^{-1}([4])=8](https://tex.z-dn.net/?f=%5Cimplies%20f%5E%7B-1%7D%28%5B4%5D%29%3D8)
( Since [4]=4 )
Hence the value of
is 8.