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Oksana_A [137]
3 years ago
15

Find the value of the permutation. 8P1 ?

Mathematics
2 answers:
olganol [36]3 years ago
8 0

Answer:

8P1 = 8

Step-by-step explanation:

<u>Permutation  </u>

The number of elements can be selected from a set of elements.

Let r be the number of elements want to select and n be the set of elements.

It can be written as nPr

nPr = n!/(n - r)!

<u>To find 8P1 </u>

n= 8 and r = 1

8P1 = 8!/(8-1)! = 8!/7! = (8 x 7!)/7! = 8

Therefore 8P1 = 8

vovangra [49]3 years ago
7 0
P(n, r) = n!
____
(n-r)!

= 8!
____
(8-1)!

= 8
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Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1,3).
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Answer:

Step-by-step explanation:

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first I use a graphing calcuator to solve the problem

I like to use y intercept form better, but you don't have use it

I will try to solve it directly without going through the y intercept equation

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y = -x/5 + 10/5    

y = -x/5 + 2

Now I need to find a parallel line that passes through the x =1 and y = 3 point recall this line will have the same slope =     m = -1/5

and a different Y axis crossing point 'b' that we don't know

y = -x/5 + b      y = 3 when x = 1 so slove for 'b'

3 = -1/5 + b

3 = -0.2 + b    add -0.2 to both sides

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                          if you multiply both sides by 5

5y = -x + 16        add x to both sides

x + 5y = 16         answer in standard form

THE EASIER WAY TO SOLVE THE PROBLEM IS ......

x + 5y = 10      find a line parallel that passes through x  = 1,  y = 3  

x + 5y = Z       Z is an unknown value  plug in x and y and solve for Z

1 + 5(3) = Z

Z = 16              so the parallel line in standard form is

x + 5y = 16    

same as before,  my y intercept method was correct, but not  worth the effort

       

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Step-by-step explanation:

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