we are given the function adn we can see that when t is increased, P(t) is decreasing because of the negative sign. This means the value of the population which is the original of 64 billion will have to decrease.The answer that makes sense here is D. D. In 1990, there were 5.33 billion people.
Answer:
- reflection over the x-axis
- translate right 2 units
- translate down 3 units
Step-by-step explanation:
Horizontal translation of the graph of a function is accomplished by replacing x with (x-h) for translation h units to the right. Vertical translation of the graph is accomplished by adding the amount of translation to the function value: f(x)+k translates the graph k units upward.
Reflection of a function over the x-axis is accomplished by changing the sign of every function value: -f(x).
<h3>Application</h3>
We observe that f(x) has been transformed by ...
- multiplying by -1 to get -f(x)
- replacing x with (x -2) to get -f(x -2)
- adding -3 to the function value to get -f(x -2) -3
The effect of these transformations is (correspondingly) ...
- reflection over the x-axis
- translate right 2 units
- translate down 3 units
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The attached graph shows a function f(x) (red) and the transformed function (blue).
The margin of error is 1.41.
The margin of error is calculated using the formula
![z*\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
where z is the z-score associated with the confidence level, σ is the standard deviation, and n is the sample size.
For a confidence level of 95%, we find the z-score by first converting the percent to a decimal and subtracting it from 1:
1 - 0.95 = 0.05
Divide that by 2:
0.05/2 = 0.025
This is the area in each tail.
Subtract this from 1 again, since we want the area between the tails:
1 - 0.025 = 0.975
Looking this up in the z-table (http://www.z-table.com) we see that the z-score is 1.96.
Using our information, we have:
Total = 6x^2 and 2x
so
6x^2 + 2x = 2x (3x +1)
answer
A. 2x (3x +1)