Slope = 4, y-intercept = (0, 2)
equation: y = 4x + 2
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Answer: y = 4x + 2
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He swapped the 6 and the 5 in the beginning of the number
Answer:
5x - 18
Step-by-step explanation:
-3(x + 6) + 8x
Multiply
(-3 * x) + (-3 * 6) + 8x
-3x + (-18) + 8x
5x - 18
Hope this helps :)
Answer:
![f(x)=0.5\cdot (0.2)^x](https://tex.z-dn.net/?f=f%28x%29%3D0.5%5Ccdot%20%280.2%29%5Ex)
Step-by-step explanation:
Given the table
![\begin{array}{cc}x&f(x)\\ \\-2&12.5\\ -1&2.5\\0&0.5\\1&0.1\\2&0.02\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7Dx%26f%28x%29%5C%5C%20%5C%5C-2%2612.5%5C%5C%20-1%262.5%5C%5C0%260.5%5C%5C1%260.1%5C%5C2%260.02%5Cend%7Barray%7D)
The exponential function can be written
To find
and
substitute some values:
When
then
![0.5=a\cdot b^0\Rightarrow a=0.5\ [ b^0=1]](https://tex.z-dn.net/?f=0.5%3Da%5Ccdot%20b%5E0%5CRightarrow%20a%3D0.5%5C%20%5B%20b%5E0%3D1%5D)
When
then
![0.1=0.5\cdot b^1\Rightarrow 0.5b=0.1,\ b=0.2](https://tex.z-dn.net/?f=0.1%3D0.5%5Ccdot%20b%5E1%5CRightarrow%200.5b%3D0.1%2C%5C%20b%3D0.2)
Thus,
![f(x)=0.5\cdot (0.2)^x](https://tex.z-dn.net/?f=f%28x%29%3D0.5%5Ccdot%20%280.2%29%5Ex)
Check remaining values:
![f(-2)=0.5\cdot 0.02^{-2}=0.5\cdot 5^2=0.5\cdot 25=12.5\\ \\f(-1)=0.5\cdot 0.2^{-1}=0.5\cdot 5=2.5\\ \\f(2)=0.5\cdot 0.2^2=0.5\cdot 0.04=0.02](https://tex.z-dn.net/?f=f%28-2%29%3D0.5%5Ccdot%200.02%5E%7B-2%7D%3D0.5%5Ccdot%205%5E2%3D0.5%5Ccdot%2025%3D12.5%5C%5C%20%5C%5Cf%28-1%29%3D0.5%5Ccdot%200.2%5E%7B-1%7D%3D0.5%5Ccdot%205%3D2.5%5C%5C%20%5C%5Cf%282%29%3D0.5%5Ccdot%200.2%5E2%3D0.5%5Ccdot%200.04%3D0.02)
Answer:
A linear function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.
Step-by-step explanation: