The answer to the first question is 9
Rewrite the first function so that the two functions are in standard form:
y - 3 = -2x - 8 => y = 3 - 2x - 8 => y = -2x - 5
and
y= -2x - 5
We can now see immediately that these two functions have the same slope (-2) and same y-intercept (providing that you meant "y = -2x - 5).
The graphs of these 2 functions are identical.
Answer:
You can use graphing to determing whether (5, 2) is a solution to the system of inequalities by creating a line going from the origin (0,0) and bring the line to (5, 2). Using this, you can find the x & y intercept, slope, etc.
Step-by-step explanation:
Answer:
The 95% confidence interval for the population mean is between 17.93 days and 24.07 days.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 21 - 3.07 = 17.93 days
The upper end of the interval is the sample mean added to M. So it is 21 + 3.07 = 24.07 days
The 95% confidence interval for the population mean is between 17.93 days and 24.07 days.