Factor the trinomial and enter the factorization below. Write each factor as a polynomial in descending order.
x^2+6x-27

( x - 3 )( x + 9 )

Step-by-step explanation:

The first thing we want to do here is to break the expression into groups. This will help us factor out common terms, that will later be grouped - our resulting, factored expression.

x² + 6x - 27 - Break the expression into groups,

( x² - 3x ) + ( 9x - 27 ) - Factor out x from the expression " x² - 3x. " Respectively factor out 9 from the expression "  9x - 27. "

x( x - 3 ) + 9( x - 3 ) - Now this contains the shared expression " x - 3, " and hence can be broken down further through grouping.

Factored Expression: ( x - 3 )( x + 9 )

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;