Answer:
m = -1/3
Step-by-step explanation:
There are two ways that you can use to get this answer.
The first way is to use the graph. You can see that to get from Point A to Point B, the dots go over 1 and down 3. For the fraction, you put the amount that you go to the side (1) over the amount you go down (3) to get 1/3. Since the points go down gradually, the slope is negative, so 1/3 becomes -1/3.
The second way is to take the two points, (1, 4) and (2, 1) and subtract them. First, subtract the x-coordinate from Point B from Point A to get -1. Then do the same thing with the y-coordinates to get 3. Put the -1 over 3 because x comes before y, and you have your slope.
I hope this helped :)
Answer:
![(fof^{-1})(x)=x](https://tex.z-dn.net/?f=%28fof%5E%7B-1%7D%29%28x%29%3Dx)
Step-by-step explanation:
Composition of two functions f(x) and g(x) is represented by,
(fog)(x) = f[g(x)]
If a function is,
f(x) = (-6x - 8)² [where x ≤
]
Another function is the inverse of f(x),
![f^{-1}(x)=-\frac{\sqrt{x}+8}{6}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D-%5Cfrac%7B%5Csqrt%7Bx%7D%2B8%7D%7B6%7D)
Now composite function of these functions will be,
![(fof^{-1})(x)=f[f^{-1}(x)]](https://tex.z-dn.net/?f=%28fof%5E%7B-1%7D%29%28x%29%3Df%5Bf%5E%7B-1%7D%28x%29%5D)
= ![[-6(\frac{\sqrt{x}+8}{6})-8]^{2}](https://tex.z-dn.net/?f=%5B-6%28%5Cfrac%7B%5Csqrt%7Bx%7D%2B8%7D%7B6%7D%29-8%5D%5E%7B2%7D)
= ![[-\sqrt{x}+8-8]^2](https://tex.z-dn.net/?f=%5B-%5Csqrt%7Bx%7D%2B8-8%5D%5E2)
= ![(-\sqrt{x})^2](https://tex.z-dn.net/?f=%28-%5Csqrt%7Bx%7D%29%5E2)
= x
Therefore, ![(fof^{-1})(x)=x](https://tex.z-dn.net/?f=%28fof%5E%7B-1%7D%29%28x%29%3Dx)
Answer:
20 million = 2 crore
Step-by-step explanation:
Here we will show you how to convert 20 million to crores (twenty million in crores). This may be useful if you for example want to convert 20 million rupees to crore rupees or 20 million dollars to crore dollars.
In some parts of the world like the United States, large numbers are separated with commas in three-digit-interval format like this:
...,BBB,MMM,TTT,HHH
BBB = billions
MMM = millions
TTT = thousands
HHH = hundreds
In certain parts of Asia, the format is a little different. From right to left, it starts out with three digits followed by a comma like the US, but after that, it is in intervals of two digits like this:
..,AA,CC,LL,TT,HHH
AA = arabs
CC = crores
LL = lakhs
TT = thousands
HHH = hundreds
Below we have displayed 20 million with the two number systems, based on the information above:
MM,TTT,HHH
20,000,000
=
C,LL,TT,HHH
2,00,00,000
When you match up 20 million with the C,LL,TT,HHH format above, you can see what 20 million is in crores. The answer to 20 million in crores is as follows:
20 million
= 2 crore
Divide the larger one by the smaller one. 2.4 divided by 0.3 gives you 8. That means the scale factor is 8, or the larger triangle is 8 times larger than the smaller. We can prove this by multiplying 0.3 by 8 and getting 2.4