Answer:
0.4
Step-by-step explanation:
Find square root of 12 and 15
12=3.46 rounded to 3.5
15=3.87 rounded to 3.9
0.9-0.5=0.4
A RATIONAL NUMBER ! i hope i helped
We have the equation:
![y=a\cdot b^x](https://tex.z-dn.net/?f=y%3Da%5Ccdot%20b%5Ex)
We know two points and we will use them to calculate the parameters a and b.
The point (0,3) will let us know a, as b^0=1.
![\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Da%5Ccdot%20b%5Ex%20%5C%5C%203%3Da%5Ccdot%20b%5E0%3Da%20%5C%5C%20a%3D3%20%5Cend%7Bgathered%7D)
Now, we use the point (2, 108/25) to calcualte b:
![\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D3%5Ccdot%20b%5Ex%20%5C%5C%20%5Cfrac%7B108%7D%7B25%7D%3D3%5Ccdot%20b%5E2%20%5C%5C%203%5Ccdot%20b%5E2%3D%5Cfrac%7B108%7D%7B25%7D%20%5C%5C%20b%5E2%3D%5Cfrac%7B108%7D%7B25%5Ccdot3%7D%3D%5Cfrac%7B108%7D%7B3%7D%5Ccdot%5Cfrac%7B1%7D%7B25%7D%3D%5Cfrac%7B36%7D%7B25%7D%20%5C%5C%20b%3D%5Csqrt%5B%5D%7B%5Cfrac%7B36%7D%7B25%7D%7D%20%5C%5C%20b%3D%5Cfrac%7B%5Csqrt%5B%5D%7B36%7D%7D%7B%5Csqrt%5B%5D%7B25%7D%7D%20%5C%5C%20b%3D%5Cfrac%7B6%7D%7B5%7D%20%5Cend%7Bgathered%7D)
Then, we can write the equation as:
Answer:
The correct option is A
Step-by-step explanation:
Since (1, 3) are the solutions to the function g(x), then
g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3
We know that f(x) is on the same plane and f(1) = 1.
Let's take g(1) = (1 – 1)(1 – 3) = 0
Therefore, when x = 1; f = 1 and g = 0. Hence
g(1) = f(1) – 1
In order words, g(x) could be f(x) – 1.
The correct option is A
Answer:
5%
Step-by-step explanation:
To find the tax, we take the price times the tax rate
2 = 40* rate
Divide each side by 40
2/40 =rate
.05 = rate
Changing to percent form
5% = rate