Answer:
x³ - 5x² + 81x - 405 = 0
Step-by-step explanation:
Complex roots occur in conjugate pairs.
Thus given x = - 9i is a root then x = 9i is also a root
The factors are then (x - 5), (x - 9i) and (x + 9i)
The polynomial is the the product of the roots, that is
f(x) = (x - 5)(x - 9i)(x + 9i) ← expand the complex factors
= (x - 5)(x² - 81i²) → note i² = - 1
= (x - 5)(x² + 81) ← distribute
= x³ + 81x - 5x² - 405, thus
x³ - 5x² + 81x - 405 = 0 ← is the polynomial equation
Answer:
1:2
Step-by-step explanation:
There are 12 total puppies. To find the number of black puppies, we have to subtract the yellow from the total. So:
12 - 8 = 4
There are 4 black puppies. Now we put the black puppies in ratio to yellow puppies:
4:8
Then simplify (divide both sides by 4):
1:2
Cara's rate of commission is 12%.
Step-by-step explanation:
Given,
Paycheck = $6500
Salary = $1000
Commission = Paycheck - Salary
Commission = 6500-1000 = $5500
Total sales for the week = $45000
Commission rate = 
Rounding off to nearest whole number.
Commission rate = 12%
Cara's rate of commission is 12%.
Keywords: commission, subtraction
Learn more about subtraction at:
#LearnwithBrainly
First find the sum of the amount of time it takes her to be finished
20 + 35 + 15 =
35 + 35 = 70
Keep in mind a hour is 60 minutes
1:10 minutes before 8:00
She should get up at 6:50am
Answer:
1-A-ENLARGEMENT
2-B-2 INCHES PER CENTIMETER
Step-by-step explanation:
Its enlargement because it is bigger than the original. And is 2 inches because for every centimeter there are 2 inches.
Hope this helps, rate thanks and brainliest.
