Answer:
The answer to your question is below
Step-by-step explanation:
*A(x)=3x³ + 2x² - x This polynomial is not divisible by (x - 1)
Factor completely 3x(x + 1)(3x - 1)
*B(x)=5x³ - 4x² - x This polynomial is divisible by (x - 1)
factor completely 3x(x - 1)(5x + 1)
*C(x)=2x³ - 3x² + 2x - 1 This polynomial is divisible by (x - 1)
Synthetic division 2 - 3 + 2 -1 1
2 -1 1
2 -1 1 0
*D(x)=x³ + 2x² + 3x + 2 This polynomial is not divisible by (x - 1)
Synthetic division 1 2 3 2 1
1 3 6
1 3 6 8
Answer:
The margin of error is 6.45.
Step-by-step explanation:
The complete question is:
As an early intervention effort, a school psychologist wants to estimate the average score on the Stanford-Binet Intelligence Scale for all students with a specific type of learning disorder using a simple random sample of 36 students with the disorder.
Determine the margin of error, of a 99% confidence interval for the mean IQ score of all students with the disorder. Assume that the standard deviation IQ score among the population of all students with the disorder is the same as the standard deviation of IQ score for the general population, σ = 15 points.
The (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:

The margin of error for this interval is:

Given:
<em>n</em> = 36
σ = 15
(1 - <em>α</em>)% = 99%
Compute the critical value of <em>z</em> for 99% confidence level as follows:

*Use a <em>z</em>-table.
Compute the value of MOE as follows:



Thus, the margin of error is 6.45.
Answer:
See below.
Step-by-step explanation:
There is an infinite number of lines parallel to y = -3/2x - 1.
They have the same slope, -3/2, and a different y-intercept.
Examples:
y = -3/2x + 1
y = -3/2x
y = -3/2x - 5
Step-by-step explanation:
m=

=6÷-4
=-1.5
also
(-2,22)
=-2÷22
=-1.5909090
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:

We find the slope of the line:

Thus, the equation of the line is of the form:

We substitute one of the points and find b:

Finally, the equation is:

Answer:
