The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 9.6% of his custom
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Using permutations, it is found that there are 12 ways to pick a sequence of two different letters of the alphabet that appear in the word Crab .
The order in which the letters appears is important, as for example, ab is a difference sequence than ba, hence the <em>permutation formula</em> is used.
Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
In this problem, 2 letters are picked from a set of 4, hence:
There are 12 ways to pick a sequence of two different letters of the alphabet that appear in the word Crab .
For more on permutations, you can check brainly.com/question/24905801
Answer:
1, 1
(x is equal to 1 and y is equal to 1)
Step-by-step explanation:
<u>System:</u>
{ -9x + 2y= -7
{ -12x + 3y= -9
<u>Getting a single x value:</u>
[Given] -9x + 2y= -7
[Add 9x + 7 to both sides & then flip the equation] 9x = 2y + 7
[Divide both sides of the equation by 9] x = y +
<u>Solving for y by plugging-in our x:</u>
[Equation] -12x + 3y= -9
[Plug-in] -12(y +
) + 3(
y +
) = -9
[Distribute -12 and 3] +
+
+
= -9
[Multiply both sides of the equation by 9] -24y -84 + 6y + 21 = -81
[Combine like terms & add 63 to both sides] -18y = -18
[Divide both sides by -18] y = 1
<u>Solve for x by plugging-in y,</u>
[Given] -9x + 2y= -7
[Plug-in] -9x + 2(1) = -7
[Multiply] -9x + 2 = -7
[Subtract 2 from both sides] -9x = -9
[Divide both sides by -9] x = 1
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather