Find the x intercept of the graph of the equation -2(x+1)^2 +18

x = - 4, x = 2

Step-by-step explanation:

To find the x- intercepts equate the equation to zero, that is

- 2(x + 1)² + 18 = 0 ( subtract 18 from both sides )

- 2(x + 1)² = - 18 ( divide both sides by - 2 )

(x + 1)² = 9 ( take the square root of both sides )

x + 1 = ± = ± 3 ( subtract 1 from both sides )

x = ± 3 - 1

Hence

x = - 3 - 1 = - 4 and x = 3 - 1 = 2

The x- intercepts are x = - 4, x = 2

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;

t= 1/3.

hope this .

step-by-step explanation: