Given the domain -4,0,5 what is the range for 12x+6y=24

The range is -6, 4 , 12.

Step-by-step explanation:

If the domain is -4,0,5, x can only be -4 or 0 or 5.

Substitute each of these x-values into the equation 12x+6y=24. Then isolate to find the possible values of x.

Sub x for -4

12x+6y=24

12(-4)+6y=24

-48+6y=24

6y = 72

y = 12

Sub x for 0

12x+6y=24

12(0)+6y=24

6y = 24

y = 4

Sub x for 5

12x+6y=24

12(5)+6y=24

60 + 6y = 24

6y = -36

y = -6

The possible values of y are -6, 4 ,12 which is the range.

In set notation: R = {y|y=-6,4,12}

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

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;