20 POINTS ANSWER FAST!

False: the vertex is (0, -6)

False: Minimum value is -6

False: the axis of symmetry is 0

Step-by-step explanation:

I put the simplified equation (2/3x^2-6) into desmos.com and will link a picture of it.

The minimum value and the vertex are the same in this case. The axis of symmetry is 0 because that is the x-value that goes through the vertex.

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;

yes   because as the functions are graphed they eventually will intersect unless otherwise

step-by-step explanation: