Refer to the attached photo to see the problem worked out
So first let’s combine like terms and add 4/9x and 1/5x together to get 29/45x =58. Next, multiply 58 by 45/29 to isolate x, so x=90
The chessboard is about 26.4 centimeters long. to find the answer you need to know the length of one side of a square, which is about 3.3 centimeters, because the area is 11, so the square root of 11 is about 3.3 centimeters. there are 8 squares, so you have to multiply 8 times 3.3 which equals 26.4.
For this case the first thing we must observe is that the mass increases 0.4 grams when the diameter increases 1 millimeter.
Therefore, the slope of the line is given by:
m = 0.4
Thus, the function that best suits the table is given by:
f (x) = -4 + 0.4x
For example, for x = 20 we have:
f (20) = -4 + 0.4 (20)
f (20) = -4 + 8
f (20) = 4
The result, matches the table.
Answer:
The function that is best represented by the scatter plot is:
f (x) = -4 + 0.4x
Answer:
![f(x) = 2[\frac{3^x}{9}] + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5B%5Cfrac%7B3%5Ex%7D%7B9%7D%5D%20%2B%202)

Step-by-step explanation:
Given


Required
Remove the h component
In a function, the h component is highlighted as:

So, we have:

Split the exponents using the following law of indices:



![f(x) = 2[\frac{3^x}{9}] + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5B%5Cfrac%7B3%5Ex%7D%7B9%7D%5D%20%2B%202)
<em>The h component has been removed</em>

Split the exponent using the following law of indices

So, we have:

Express 4^2 as 16

Divide 16 by 2
