Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
Answer:
A. y = -x -2
Step-by-step explanation:
thanks for the questions.
Answer:
300 seconds = 5 minutes
Step-by-step explanation:
At first convert the time in minutes which is
5.75 * 60 = 345 seconds
No as the average is 345 seconds at starts from 45 so we subtract that time from 45 seconds
345-45 = 300 seconds (Mean)
So 300 seconds = 300/60 = 5 minutes
So the Accurate mean is 5 minutes
4 loaves : 6 cups
That simplifies to 2 loaves : 3 cups
So, your ratio is 2:3
Okay if there are 8 teachers and 6 reams of paper you would have to divide 6 by 8 and you would get 0.75
6/8= 0.75
each teacher would get 0.75 (3/4) of a ream of paper
