Factor 81x^2-49y^2 please show work.

(9 x - 7 y) (9 x + 7 y)

Step-by-step explanation:

Factor the following:

81 x^2 - 49 y^2

Hint: | Express 81 x^2 - 49 y^2 as a difference of squares.

81 x^2 - 49 y^2 = (9 x)^2 - (7 y)^2:

(9 x)^2 - (7 y)^2

Hint: | Factor the difference of two squares.

Factor the difference of two squares. (9 x)^2 - (7 y)^2 = (9 x - 7 y) (9 x + 7 y):

(9 x - 7 y) (9 x + 7 y)

24+x=y

step-by-step explanation:

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;