Answer:
question I don't understand what you want to be done herewhat's the q
Answer:
Step-by-step explanation:
![y=f(x)=\dfrac 19 x +2\\\\\text{Replace x with y and then solve for y,}\\\\~~~~~~~x = \dfrac 19 y+2\\\\\implies 9x =y + 18~~~~~~~~~~~~~~~;[\text{Multiply both sides by 9}]\\ \\\implies y = 9x -18\\\\\implies f^{-1}(x) = 9x -18\\\\\text{Hence, the inverse of the given function is}~ f^{-1}(x) = 9x -18.](https://tex.z-dn.net/?f=y%3Df%28x%29%3D%5Cdfrac%2019%20x%20%2B2%5C%5C%5C%5C%5Ctext%7BReplace%20x%20with%20y%20and%20then%20solve%20for%20y%2C%7D%5C%5C%5C%5C~~~~~~~x%20%3D%20%5Cdfrac%2019%20y%2B2%5C%5C%5C%5C%5Cimplies%209x%20%3Dy%20%2B%2018~~~~~~~~~~~~~~~%3B%5B%5Ctext%7BMultiply%20both%20sides%20by%209%7D%5D%5C%5C%20%5C%5C%5Cimplies%20y%20%3D%209x%20-18%5C%5C%5C%5C%5Cimplies%20f%5E%7B-1%7D%28x%29%20%3D%209x%20-18%5C%5C%5C%5C%5Ctext%7BHence%2C%20the%20inverse%20of%20the%20given%20function%20is%7D~%20%20f%5E%7B-1%7D%28x%29%20%3D%209x%20-18.)
Answer:
b = 18 m
c = 19.5 m
h = 9 m
Step-by-step explanation:
Call the smaller solid the original one, and call the larger solid the scaled one.
1. Find the scale factor
scale factor = length in scaled one / corresponding length in original one
scale factor = 7.5/5 = 1.5
The scale factor is 1.5
That means if you multiply any linear dimension of the original one by 1.5, you get the corresponding dimension of the scaled one.
Let's check our scale factor to make sure it's correct.
We see that the 5 m side corresponds to the 7.5 m side.
5 m * 1.5 = 7.5 m
Multiplying an original length by the scale factor of 1.5 gives us the scaled up length, so our scale factor of 1.5 is correct. Now we apply the scale factor of 1.5 to find b, c, and h.
b corresponds to 12 m
b = 12 m * 1.5 = 18 m
c corresponds to 13 m
c = 13 m * 1.5 = 19.5 m
h corresponds to 6 m
h = 6 m * 1.5 = 9 m
Answer:
b = 18 m
c = 19.5 m
h = 9 m
Answer:
11 hours
Step-by-step explanation:
The number of machines working in the factory = 6 machines
Decreasing it by a factor of 2 =
6 ÷ 2 = 3 machines.
Hence:
If 6 machines complete a big order = 22 hours
3 machines = x hours
Cross Multiply
6 machines × x hours = 22 hours × 3 machines
x hours = 22 hours × 3/6
= 66/6
x = 11 hours
Therefoee, it would take 11 hours to fill the order if the number of working machines decreased by factor of 2.
Answer:
No.
Step-by-step explanation:
If you rotate it at any angle, it will not appear like this. This picture is here to fool you. This is the one angle that it looks perfectly simmetrical.
Thus, the answer is no.
