Answer:
2, 1, 3, 4, 6, 5
Step-by-step explanation:
The rate of change of function f(x) on an interval [a, b] is defined as ...
average rate of change = (f(b) -f(a))/(b -a)
For the function h(x) = 2^-x, this will be ...
arc = (h(b) -h(a))/(b -a) = (2^-b -2^-a)/(b-a) = (2^-a)(2^(a-b) -1)/(b -a)
__
1. For the interval [0, 2], the average rate of change is ...
arc = (2^-0)(2^(0-2) -1)(2 -0) = (1/4 -1)/2 = -3/8 = -0.375
1 goes in the 2nd answer blank
2-6. For the other intervals, it is convenient to let a calculator or spreadsheet compute the values. The average rates of change are shown in the attachment.
Answer:
F
Step-by-step explanation:
Since f(x) and g(x) are a negative quadratic (aka, looks like an upside down U), two of them have maximum points and not minimum points. h(x) is the only one with a minimum point.
With Combination, There are the 98280 ways by which we place books on the shelf.
According to the statement
We have to find that the number of ways can by which place books on the shelf.
So, For this purpose, we know that the
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
From the given information:
The library has 28 science fiction books. Each shelf holds 5 books
Then
apply the combination,
Then
C(n,r) = C(28,5)
after solving it become
C(28,5) = 28! /(5!(28-5)!)
And
C(28,5) = 28! /(5!(23)!)
Then after rearranging the terms and solving the value becomes
C(28,5) = 98280.
So, With Combination, There are the 98280 ways by which we place books on the shelf.
Learn more about Combination here
brainly.com/question/295961
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Answer:
see explanation
Step-by-step explanation:
(a)
9n =
- 2 ( multiply through by 7 to clear the fraction )
63n = 15 - 14 = 1 ( divide both sides by 63 )
n = 
(b)
= k - 4 ( multiply through by 3 to clear the fraction )
1 = 3k - 12 ( add 12 to both sides )
13 = 3k ( divide both sides by 3 )
= k
(c)
g -
g = 3 ( multiply through by 5 to clear the fraction )
5g - 2g = 15
3g = 15 ( divide both sides by 3 )
g = 5
(d)
w + 2w = 3 ( multiply through by 7 to clear the fraction )
3w + 14w = 21
17w = 21 ( divide both sides by 17 )
w = 