Choice B would be the correct answer. I hope that helps! :D
Answer:
Step-by-step explanation:
Given:
Area = 3x^3 - 16x^2 + 31x - 20
Base:
x^3 - 5x
Area of trapezoid, S = 1/2 × (A + B) × h
Using long division,
(2 × (3x^3 - 16x^2 + 31x - 20))/x^3 - 5x
= (6x^3 - 32x^2 + 62x - 40))/x^3 - 5x = 6 - (32x^2 - 92x + 40)/x^3 - 5x = 2S/Bh - Ah/Bh
= 2S/Bh - A/B
= (2S/B × 1/h) - A/B
Since, x^3 - 5x = B
Comparing the above,
A = 32x^2 - 92x + 40
2S/B = 6
Therefore, h = 1
First of all it is always a good idea to graph a question like this one. Here are the three graphs
y = x^4 - x^2 Color: Red This is the base graph
y = x^4 - x^2 - 4 Color Blue This has - 4 added to it.
y = x^4 - x^2 + 4 Color Green This has 4 added to the base graph
Which one is correct? The red and blue one are not. The graph you want is plotted upward from the base graph. The base graph (red nothing added to it) is not right because it has points on the x axis. The graph you want does not.
The same is true of the blue graph. It cuts the x axis. That only leaves the green one.
Answer: C
Step-by-step explanation: What they mean is if you were to say put all that data onto a graph, any kind of graph. What graph would you chose, and why? How you would work through this kind of problem, or at least how I would approach it weight out the pros and cons of each graph, or put some data on different graphs and see what works best. On the contrary if you have a rough idea of how each graph would look like you would just chose the one you think conveys the information best. I think they're is a best answer, but no wrong answer, you can make an argument for most graphs if you try, so just chose the one you think is best, and write your reasoning.
Answer:
100 is the correct answer