Hey there! :)
Answer:
D: [8, 12].
R: [-10, -6].
Step-by-step explanation:
Notice that the endpoints of the graph are closed circles. This means that square brackets will be used:
The graphed equation is from x = 8 to x = 12. Therefore, the domain of the function is:
D: [8, 12].
The range goes from y = -10 to -6. Therefore:
R: [-10, -6].
Answer: In pretty sure the answer is C im very much sorry if its not C
have a good day!
We know that, as per a corollary of intermediate value theorem, if a function f(x) is continuous on a closed interval [a,b], and values of f(a) and f(b) have opposite signs, then the function f(x) is guaranteed to have a zero on the interval (a,b).
So, basically, we need to figure out two values of x, at which the values of the given cubic function have opposite signs.
Let us consider the interval [-2,1].
We have
. Upon substituting the values x=-2 and x=1 one by one, we get:
![f(x)=2(-2)^{3}-3(-2)+5=-16+6+5=-5](https://tex.z-dn.net/?f=f%28x%29%3D2%28-2%29%5E%7B3%7D-3%28-2%29%2B5%3D-16%2B6%2B5%3D-5)
![f(x)=2(1)^{3}-3(1)+5=2-3+5=4](https://tex.z-dn.net/?f=f%28x%29%3D2%281%29%5E%7B3%7D-3%281%29%2B5%3D2-3%2B5%3D4)
We can see that signs of values of the function at x=-2 and x=1 are opposite, therefore, as per intermediate value theorem, the function is guaranteed to have a zero on the interval [-2,1]
Answer:
47.2 divided by 4 = meters per second
47.2 / 4 = 11.8
<u><em>11.8 mps</em></u>
The researcher should use regression analysis, as a statistical tool, because the researcher is working with two variables measured.
<h3>Regression analysis</h3>
Regression analysis is the most widely used statistical tool that can be used to find out the relation between a set of variables. Thus, from its results, it is possible to analyze the trend or make predictions. In a regression analysis, it is considered the relationships between two or more variables and it is very similar to correlation.
Like the researcher is working with two variables measured at the interval level. The researcher should use regression analysis.
Read more about the regression analysis here:
brainly.com/question/26677136