Answer:
In total, 
permutations of three items can be selected from a group of six distinct elements.
In particular, there are 
ways to order three distinct items.
.
Step-by-step explanation:
The formula 
gives the number of ways to select and order 
items from a group of 
distinct elements.
To select and order three items from a group six distinct elements, let 
and 
. Apply the formula:
.
In other words, there are unique ways to select and order three items (select a permutation of three items) from a group of six distinct elements.
Consider: what's the number of ways to order three distinct items? That's the same as asking: how many ways are there to select and order three items from a group of three distinct elements? Let 
and . Apply the formula for permutation:
.
To find the permutations, start by selecting one element as the first of the list. A tree diagram might be helpful. Refer to the attachment for an example.
answer: 0.000027= 2.7× 10 to the power of -5
Answer:
The answer would be 55
Step-by-step explanation:
To find the slope and y-intercept, you can convert the linear equation into the form y = mx + b, where m is the slope and b is the intercept.
To do so, just simplify for y.
So, the y-intercept is (0, 28) and the slope is 4.5.
Hope that helps!
<h3>
Answer: Choice A</h3>
Explanation:
Choice A has the f(x) values going down on the interval -1 < x < 1 only.
Choice B appears to be decreasing over its entire domain, so we can rule this out (since we want -1 < x < 1 to be the only decreasing interval).
Choice C's table isn't decreasing when -1 < x < 1 since y = -3 increases to y = 0 (from x = -1 to x = 0). So we can rule it out.
A similar situation happens with choice D as well, so we can rule this out. The function isn't decreasing when we go from f(-1) to f(0).
