Answer:
7x (x + 1 ) ( x + 3 )
Step-by-step explanation:
7x³ +28x² +21x
7x ( x² + 4x + 3 )
7x [ x² + 1x + 3x + 3 ]
7x [ x ( x + 1 ) + 3 ( x + 1 ) ]
7x (x + 1 ) ( x + 3 )
2x2x2 = 8
4 x 2 x 2 = 16
16+8 = 24
Answer is A
X²+3x-21=0
1) we solve this square equation:
x=[-3⁺₋√(9+84)] / 2=(-3⁺₋√93)/2
We have two solutions:
x₁=(-3-√93)/2
x₂=(-3+√93)/2
2) we compute the product of the 2 solutions found.
[(-3-√93)/2][(-3+√93)/2] =(-3-√93)(-3+√93) / 4=
=(9-93)/4=-84/4=-21
Answer: the product of the 2 solutions of this equation is -21
Answer:
The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 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
.
That is z with a pvalue of
, so Z = 1.96.
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 190 - 30 = 160 days
The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.