For f(x)=2x+1 and g(x)=x^2-7 find (f-g)(x)

-x² + 2x + 8

Step-by-step explanation:

Essentially we need to subtract g(x) from f(x):

(f - g)(x) = f(x) - g(x) = (2x + 1) - (x² - 7)

Distribute the negative:

(2x + 1) - x² - (-7) = (2x + 1) - x² + 7

Combine like terms:

2x + 1 - x² + 7

-x² + 2x + 8

Thus, the answer is -x² + 2x + 8.

~ an aesthetics lover

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;