Answer: The factor form of the function F(x) is , where gives two complex roots.
Explanation:
The given function is,
According to the rational root theorem 1 and -1 are the possible roots of each polynomial.
Put x=-1
Since the value of F(x) is 0 at x=-1 therefore the -1 is a root of given polynomial and (x+1) is a factor of F(x).
Use synthetic division method to divide the polynomial by (x+1).
The last row of the synthetic division shows the coefficient of remaining polynomial.
At x=2 the value of F(x) is 0, therefore (x-2) is a factor of F(x).
Use synthetic division method to divide the polynomial by (x-2).
Therefore the roots of F(x) are,
Where factors with real root and are factors with complex roots.
Answer:
Step-by-step
In the exponent we write how many times the number is repeated.
x
Answer:
The function r(x) represents a constant rate per unit change in x.
Step-by-step explanation:
This is because when you increase in 2, it goes from 37 to 25, a decrease in 12, then when the x goes from 2 to 3, then it has to drop down by 6, or else it won't be linear. It does. 25-6 is 19. Then it goes from 3 to 5, meaning it has an increase of 2 in x, meaning it has to drop down in 12 to be linear, It does. 19-12 is 7. So it is linear, meaning it has a constant rate per unit change in x.
Answer:
36.8
Step-by-step explanation:
Perimeter is the addition of each side.
8.2 + 4.5 + 7.1 + 10.8 + 3.4 + 2.8
^ ^
12.7 + 7.1
19.8 + 10.8
30.6 + 3.4
34 + 2.8
36.8
Hope this helped.
Answer: (15.47, 24.53)
Step-by-step explanation:
We know that the confidence interval for population mean is given by :_
, where n= sample size.
= standard deviation.
= sample mean.
z*= Critical value.
Given : n= 450
Critical value for 95% confidence = z*=1.96 [From z-value table]
Then, the 95% confidence interval will be :-
Hence, the 95% confidence interval for the mean change in score μ μ in the population of all high school seniors. : (15.47, 24.53)