The linear formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014 is:
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.
In this problem:
- The percentage of smokers in 2014 was 16.7%, hence the initial value is
- The percentage is decreasing by 5.6% each year, hence the slope is
.
Then, the <em>equation </em>is:
You can learn more about linear functions at brainly.com/question/24808124
Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have
g(x) = k • f(x) = kx² = (√k x)²
The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means
g(1) = (√k • 1)² = 4
and it follows that k = 4. So g(x) = 4x² = (2x)² and B is the correct choice.
Short-term investments characteristics are:
- More affected by rapid market changes.
- Taxed at a higher rate.
- Subject to more transaction fees.
- Incurs more annual brokerage fees.
<h3>What are Long-Term Investments?</h3>
Others are:
Long-term investments characteristics are:
- Carries the risk of higher inflation.
Long-term investments are known to be a kind of assets that people or a firm intends to keep for a long period of time that is usually more than three years.
Note that Long-term investors usually take on a high degree of risk when one is said to be after higher returns.
Learn more about investments from
brainly.com/question/1305349
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By definition we have that the average rate of change of the function is given by:
Substituting values we have:
Rewriting we have:
Answer:
If x represents time, the average rate of change of the function f(x) in the first two seconds is 25.
79.56 would be the answer, (i’m pretty positive) because you take all three numbers and you multiply them together.
