Answer:
There are two rational roots for f(x)
Step-by-step explanation:
We are given a function
To find the number of rational roots for f(x).
Let us use remainder theorem that when
f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.
Substitute 1 for x
f(1) = 1-2-5+6=0
Hence x=1 is one solution.
Let us try x=-1
f(-1) = 1-2-5+6 =0
So x =-1 is also a solution and x+1 is a factor
We can write f(x) by trial and error as
We find that 
factor gives two irrational solutions as
±√3.
Hence number of rational roots are 2.
Answer:
The margin of error is of 0.01.
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 Z-table as such z has a p-value of 
.
That is z with a pvalue of 
, so Z = 1.037.
The margin of error is of:
In which 
is the standard deviation of the population and n is the size of the sample.
Standard deviation was 0.21.
This means that 
Sample of 450:
This means that 
What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?
The margin of error is of 0.01.
Answer: 8 hours
Step-by-step explanation: First, find the unit rate. For one hour of work, she earns 0.05263157894. Multiply this number 152.
The correct excluded value is 2.
Answer:
65°
Step-by-step explanation:
All triangles equal 180 degrees. So just subtract the other values.
