Given ƒ(x) = 8x − 15, find x when ƒ(x) = 9.

First, substitute for .

Now, follow the order of operations in reverse. Add to both sides of the equation.

Finally, divide both sides of the equation by .

Given f(x) =  9

8x - 15 = 9

8x = 24

∴ x = 3

Check :

f( 3) = 3 * 8 - 15

= 24 - 15

f(3) = 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;