F(x) = | 3x+1 | find the vertex of value function

The vertex is the point

Step-by-step explanation:

we know that

The general form of an absolute value equation is

The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables  h, and k, tell us how far the graph shifts horizontally and vertically

The vertex is the point (h,k)

we have

Rewrite the expression (3x+1)

substitute

therefore

The vertex is the point

see the attached figure to better understand the problem

answer: options?

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;