Answer:
The base is: ![3 \sqrt[3]{4}](https://tex.z-dn.net/?f=3%20%5Csqrt%5B3%5D%7B4%7D)
Step-by-step explanation:
Given
![f(x) = \frac{1}{4}(\sqrt[3]{108})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%28%5Csqrt%5B3%5D%7B108%7D%29%5Ex)
Required
The base
Expand 108
![f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%28%5Csqrt%5B3%5D%7B3%5E3%20%2A%204%7D%29%5Ex)
Rewrite the exponent as:
Expand
Rewrite as:
![f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%283%20%5Csqrt%5B3%5D%7B4%7D%29%5Ex)
An exponential function has the following form:
Where
By comparison:
![b =3 \sqrt[3]{4}](https://tex.z-dn.net/?f=b%20%3D3%20%5Csqrt%5B3%5D%7B4%7D)
So, the base is:
You just have to divide 309 by 4.78 so it would =64.6443
Algebra is the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formula and equations.
Equation examples:
· Slope intercept form: y = mx+b, where m is the slope and b is the y-intercept.
· Point slope form: <span>y - k = m(x - h)
</span>· <span>Pythagorean theorem: a</span>² + b² = c²
Answer:
I think, 18,058 dollars.
Step-by-step explanation:
Well you multiply 7.85 x 13.0 or length x width. Which is 102.5 or rounded is 103. Please pick me for brainliest!! :)
