Answer:
See below
Step-by-step explanation:
If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line , which is a diagonal line passing through the origin at a 45 degree angle.
None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.
There are 6720 ways by 8 distinguishable books be placed in 5 shelves.
According to statement
The number of books (n) is 8
The number of shelves (r) is 5
Now, we find the ways by which the 8 books be placed in 5 distinguishable shelves
From Permutation formula
P(n,r) = n! / (n-r)!
Substitute the values then
P(n,r) = 8! / (8-5)!
P(n,r) = (8*7*6*5*4*3*2*1) / (3*2*1)
P(n,r) = 8*7*6*5*4
P(n,r) = 6720
So, there are 6720 ways by 8 distinguishable books be placed in 5 shelves.
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Answer:
Step-by-step explanation:
Given
Required
Find c using Intermediate Value theorem
First, check if the value of M is within the given range:
M is within range.
Solving further:
We have:
Substitute 21 for f(x) in
Express as quadratic function
Expand
or
or
The value of is outside the
So:
By comparison: