![y= (\frac 1 4 )^x](https://tex.z-dn.net/?f=%20y%3D%20%28%5Cfrac%201%204%20%29%5Ex)
A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so
![y'= -y = - (\frac 1 4)^{x'}](https://tex.z-dn.net/?f=y%27%3D%20-y%20%3D%20-%20%28%5Cfrac%201%204%29%5E%7Bx%27%7D)
A dilation of 2 is the mapping (x'',y'')=(2x', 2y')
So
![x'=x''/2, y'=y''/2](https://tex.z-dn.net/?f=x%27%3Dx%27%27%2F2%2C%20y%27%3Dy%27%27%2F2)
![y''/2= - (\frac 1 4)^{x''/2}](https://tex.z-dn.net/?f=%20y%27%27%2F2%3D%20-%20%28%5Cfrac%201%204%29%5E%7Bx%27%27%2F2%7D)
![y'' = - 2((\frac 1 4)^{1/2})^{x''}](https://tex.z-dn.net/?f=%20y%27%27%20%3D%20%20-%202%28%28%5Cfrac%201%204%29%5E%7B1%2F2%7D%29%5E%7Bx%27%27%7D)
![y''= - 2(\frac 1 2)^{x''}](https://tex.z-dn.net/?f=%20y%27%27%3D%20-%202%28%5Cfrac%201%202%29%5E%7Bx%27%27%7D)
We can rewrite that without the primes and combine the powers of 2.
![y = - 2^{1-x}](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%5E%7B1-x%7D)
Let's graph these and see if we're close,
Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}
To find the original amount, you divide the product by the percentage.
112.79 / 0.15 ≈ 751.933 (the 3's repeat infinitely).
To check your answer, multiply 751.933 by 0.15.
751.933 * 0.15 = 112.78995 ≈ 112.79
It depends if the 12 spice jars are all different.
If they are:
_ _ _ _ _ _ _ _ _ (9 spaces)
12*11*10*9*8*7*6*5*4
12 possibilities for first one, 11 for second, etc...
Multiply out to get:
79833600
Y+2=-4x+24
2=-4x-y+24
-22=-4x-y
Answer:-3
Step-by-step explanation: