What is the slope of a line that is perpendicular to the line y = 8x + 5?
2 answers:
Answer:
Step-by-step explanation:
The given equation of a line :
We know that general Slope-intercept form of equation is given by :-
, where m is the slope of the line.
When we compare the given equation the general slope intercept form of equation , we get
Slope of line = 8
We know that the product of slopes of two perpendicular line is -1.
Let m be the slope of line that is perpendicular to the line , then we have
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Answer:
0.1667
Step-by-step explanation:
There are 6! ways to arrange the hats. The number of ways for which no guest will receive the proper hat is 5! (since there are 5 wrong hats for the first guest, 4 for the second guest, and so on). The probability that no guest will receive the proper hat is:
The probability is 0.1667.
Answer:
a. The critcal points are at
b. Then, is a maximum and
is a minimum
c. The absolute minimum is at and the absolute maximum is at
Step-by-step explanation:
(a)
Remember that you need to find the points where
Therefore you have to solve this equation.
From that equation you can factor out and you would get
And from that you would have , so
.
And you would also have .
You can factor that equation as
Therefore .
So the critcal points are at
b.
Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since
Then, is a maximum and
is a minimum
c.
The absolute minimum is at and the absolute maximum is at