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patriot [66]
3 years ago
14

Using f(x) = 4x + 6 with the domain of {-1,0,2}, find the range

Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0
The range is the output of the function, and there are many ways to find it and write it. Let's find it first by plugging in all the domain values (domain means input) into the function:
f(-1) = 4(-1)+6=-4+6=2
f(0) = 4(0)+6=0+6=6
f(2) = 4(2)+6 = 8+6=14

We have all of our values. We can either write the range as:
{2, 6, 14}

or, subtract the smallest value from the largest one:
14-2=12

So, there are those ways to write it, there are more, but I think you should stick with the first way because that's how the problem was presented to you. If you have any questions, hmu!

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The solution is shown in the graph.

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The cost for b, breakfasts, l, lunches, and d, dinners for a group of people is 6.5b + 9.757 + 17.25d. What is the total cost of
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2 years ago
find the margin of error to use for this sample mean sushi based on a sample of 35 people he average out of pieces of sushi a pe
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{13.7756,18.2244}

Step-by-step explanation:

Given the sample size, the margin of error can be calculated with the formula M=Z*\frac{\sigma}{\sqrt{n}} where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:

M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244

The formula for a confidence interval is CI=\bar{x}+M where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:

CI=\bar{x}\pm[M]=16\pm2.2244={13.7756,18.2244}

Therefore, we are 90% confident that the true mean amount of sushi pieces a person can eat is contained within the interval {13.7756,18.2244}

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