Answer:
i preety sure its (-1,1/2)
Step-by-step explanation:
Answer:
3.92 X 10^12
Step-by-step explanation:
Move the decimal point 12 places to the left:
3.920000000000 X 10^12
Answer:
<-2
Step-by-step explanation:
i took the test
Hey there! I am guessing these are separate equations so lets start with our first ...
(2.1 x 103) x (3.5 x 102) = 77219.1
7.35 x 105 = 771.75
3.6 x 101 = 363.6
6.9 x 103 = 710.7
2.83 x 102 =288.66
A suggestion is to use * as multiplication otherwise some people may get mixed up thinking you are using a variable "x"
I hope this helped :)
The exponential function is ![y=12(8)^{x}](https://tex.z-dn.net/?f=y%3D12%288%29%5E%7Bx%7D)
Step-by-step explanation:
The form of the exponential function is
, where
- a is the value of y when x = 0
- b is the rate of change
∵ The form of the exponential function is ![y=ab^{x}](https://tex.z-dn.net/?f=y%3Dab%5E%7Bx%7D)
∵ The function goes through points (0 , 12) and (2 , 768)
- Substitute the coordinates of the first point to find the value of a
∵ x = 0 and y = 12
∴ ![12=ab^{0}](https://tex.z-dn.net/?f=12%3Dab%5E%7B0%7D)
∵ ![b^{0}=1](https://tex.z-dn.net/?f=b%5E%7B0%7D%3D1)
∴ 12 = a(1)
∴ a = 12
Substitute the value of a in the form of the function
∴ ![y=12(b)^{x}](https://tex.z-dn.net/?f=y%3D12%28b%29%5E%7Bx%7D)
- Substitute the coordinates of the second point to find the value of b
∵ x = 2 and y = 768
∴ ![768=12(b)^{2}](https://tex.z-dn.net/?f=768%3D12%28b%29%5E%7B2%7D)
- Divide both sides by 12
∴ 64 = b²
- Take √ for both sides
∴ b = 8
- Substitute the value of b in the form of the function
∴ ![y=12(8)^{x}](https://tex.z-dn.net/?f=y%3D12%288%29%5E%7Bx%7D)
The exponential function is ![y=12(8)^{x}](https://tex.z-dn.net/?f=y%3D12%288%29%5E%7Bx%7D)
Learn more:
You can learn more about the logarithmic function in brainly.com/question/1447265
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