The polynomial equation x cubed + x squared = negative 9 x minus 9 has complex roots plus-or-minus 3 i. What is the other root? Use a graphing calculator and a system of equations.

-1,3i,-3i

Step-by-step explanation:

X^3+x^2=-9x-9

x^3+x^2+9x+9=0

x^2(x+1)+9(x+1)=0 factorize by taking x+1 common factor

(x+1)(x^2+9)=0

x+1=0 then x=-1

(x^2+9)=0 then x=+ 0r - 3i

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;