Answer: Seven ate Nine
Step-by-step explanation:
Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?
NeX [460]
Answer:
The function is 
.
The slope is 
.
The y-intercept is 
.
Step-by-step explanation:
Our aim is to calculate the values <em>m</em> (slope) and <em>b</em> (y-intercept) in the equation of a line :
We have the following data:
To find the line of best fit for the points given, you must:
Step 1: Find 
and 
as it was done in the table below.
Step 2: Find the sum of every column:
Step 3: Use the following equations to find <em>b</em> and <em>m</em>:
Step 4: Assemble the equation of a line
The graph of the regression line is:
For the answer to the question above,
<span>Let's work with the left-hand side
We're going to times cosx/1-sinx by 1+sinx/1+sinx, you can do this because 1+sinx/1+sinx is equal to 1, so you aren't really changing anything.
After you've times the top and bottom by 1+sinx, you get:
cosx(1+sinx) / (1-sinx)(1+sinx)
The denominator is a difference of squares, so you get 1-sin^2 x
what you have now is
cosx(1+sinx) / 1-sin^2x
You know that 1-sin^2x is equal to cos^2x
so know you have
cosx(1+sinx) / cos^2x
get rid of the cosx on top by simplifying and the cos^2x so that you're left with
(1+sinx) / cos x
Therefore cosx / 1- sinx = 1 + sinx / cos x</span>
You would use the equation 1000(1+0.3)^x
Plug in 6 months for x
1000(1.3)^6
When you solve for that you get 4826.809 and then round to the nearest tenth I would assume so 4826.8
Hope this helps!
