Answer: Graph D will be correct graph for the given function.
Explanation:
Given function
Since it is a bi-quadratic equation thus it must have 4 roots and (0,1) is one of its point.
Moreover, the degree of the function is even thus the end behavior of the function is, as and as
In graph A, function has four root but it does not have the end behavior same as function f(x).( because in this graph , as and , as .) so, it can not be the graph of given function.
In graph B, neither it has four root nor it has the end behavior same as function f(x).(because in this graph as and as .) so, it can not be the graph of given function.
In graph C, neither it has four root nor it has the same end behavior as function f(x).(because in this graph as and as.) so, it also can not be the graph of given function.
In graph D it has four root as well as it has the same end behavior as the given function. Also it passes through the point (0,1).
Thus, graph D is the graph of given function.
Adjacent because this means they are right next to each other
Answer:
18.66 ft/s
Step-by-step explanation:
The distance between you and the elevator is given by:
The rate of change for the distance between you and the elevator is given by:
Applying the chain rule:
Therefore, at x=300 and y = 500, dy/dt is:
The elevator is descending at 18.66 ft/s.
Answer:
484 miles a day
Step-by-step explanation:
1,942 - 490 = 1,452
1,452 ÷ 3 = 484 miles
Answers
A. Yes
B. Yes
C. No
D. No
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x = number of minutes
y = amount of rope uncoiled
At first we have 50 feet of uncoiled rope. So basically at time x = 0 we have y = 50 feet of uncoiled rope. The point (0,50) is on the line. After 5 minutes, 5*10 = 50 feet of rope is coiled up, as its coiled at 10 ft/min. After these 5 minutes, we have 0 feet of uncoiled rope. The point (5,0) is on the line.
The line goes through (0,50) and (5,0)
Now go through the window options and see which provide the right window to be able to see the line segment with the endpoints mentioned.
- Choice A = yes, because y = 50 is part of the interval
- Choice B = yes, similar reasons as choice A
- Choice C = no, due to the fact that y = 50 is too large and outside the interval
- Choice D = no, same reasoning as choice C