Answer:
k = 5
Step-by-step explanation:
I will assume that your polynomial is
x^2 - 3x^2 + kx + 14
If x - a is a factor of this polynomial, then a is a root.
Use synthetic division to divide (x - 2) into x^2 - 3x^2 + kx + 14:
2 / 1 -3 k 14
2 -2 2k - 4
-------------------------------------
1 -1 (k - 2) 2k - 10
If 2 is a root (if x - 2 is a factor), then the remainder must be zero.
Setting 2k - 10 = to zero, we get k = 5.
The value of k is 5 and the polynomial is x^2 - 3x^2 + 5x + 14
1. Equations are:
3x + 2 = 5x + 8 and 7x + 2 = 7x - 4
2. The equation is:
2(32x - 2) = 2x + 36
64x - 4 = 2x + 36
3. You have to choose a classmate's question and answer.
4. You have to look at responses and comments.
340 in 0.75 hours. Divide both sides by 0.75, therefore 340/0.75 in 0.75/0.75 hour.
So 453.33 in one hour.(453.33 units per hour)
Hope it helps! :D
Answer: (20.86, 22.52)
Step-by-step explanation:
Formula to find the confidence interval for population mean :-
, where 
= sample mean.
z*= critical z-value
n= sample size.
= Population standard deviation.
By considering the given question , we have
n= 58
Using z-table, the critical z-value for 95% confidence = z* = 1.96
Then, 95% confidence interval for the amount of time spent on administrative issues will be :
Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)
