F(x)=(x−5)3(x+1)2(x−4)5

Step-by-step explanation:

f ( x + 1 ) = 3 x ^ { 2 } - 2 x - 5. f ( x + 1) = 3 x 2 − 2 x − 5. Factor the expression by grouping. First, the expression needs to be rewritten as 3x^ {2}+ax+bx-5. To find a and b, set up a system to be solved. Factor the expression by grouping. First, the expression needs to be rewritten as 3 x 2 + a x + b x − 5.

y = 0.77(x)

step-by-step explanation:

the jacket retains this value after 23% cut or retains 77% of original value. plug original 87 jacket price for x and the remaining value should be y.

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;