The length of a rectangle is 6 meters more than its width. The area of the rectangle is 114 square meters. Which of the following quadratic equations represents the area of the rectangle? Suppose x is the width of the rectangle. x 2-6x - 114 = 0​ A) x^2-6x-114=0

B) x^2-6x+114=0

C) x^2+6x+114=0

D) x^2+6x-114=0

last one

Step-by-step explanation:

x = width

x+6 = length

Area = length times width

x(x + 6) = + 6x

+ 6x = 114   (subtract 114 from both sides)

+ 6x -114 = 0

goog may have it for you

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;