Answer: -2x^2-12x-17
Step-by-step explanation:
-2(x+3)^2+1 Original equation
-2(x^2+3x+3x+9)+1 factor (x+3)(x+3)
-2x^2-12x-18+1 Multiply the factored part by -2
-2x^2-12x-17 Combine like terms
Answer:
The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.
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 the margin of error 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 4500 - 98.7 = 4401.3 gallons
The upper end of the interval is the sample mean added to M. So it is 4500 + 98.7 = 4598.7 gallons
The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.
Answer:
y = 4x - 9
Step-by-step explanation:
Same slope, so they're parallel
Answer:
see explanation
Step-by-step explanation:
The
= i