If these are terms of a geometric sequence, they have a common ratio. That is, ...
... (k -1)/(2(1 -k)) = (k +8)/(k -1)
... (k -1)² = 2(1 -k)(k +8) . . . . . multiply by the product of the denominators.
... k² -2k +1 = -2k² -14k +16 . . . eliminate parentheses
... 3k² +12k -15 = 0 . . . . . . . . put in standard form (subtract the right side)
... 3(k +5)(k -1) = 0 . . . . . . . . . factor
Possible values of k are ... -5, +1. The solution k=1 is extraneous, as it makes the first two terms 0 and the third term 8. (It doesn't work.)
The value of k is -5.
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The three terms are 12, -6, 3. The common ratio is -1/2.
30x-18 because 6•5x=30x and 6•3=18.
Answer:
3558 people
Step-by-step explanation:
Since the attendance dropped 8 percent, we know that it's currently at 92% of the original number. We can set up proportions to help us solve this
92/100=3274/x
From here, we can multiply both sides by 100
3274x100 is 327400
Then we multiply both sides by x
Now we are left with 92x=327400
Divide both sides by 92
327400/92 = 3558.7
Obviously we can't have .7 of a person so I would round it down to 3558 people
Answer: x = (2 y)/5 - 6/5 , y = (5 x)/2 + 3
Solve for x:
2 y - 5 x = 6
Subtract 2 y from both sides:
-5 x = 6 - 2 y
Divide both sides by -5:
Answer: x = (2 y)/5 - 6/5
Solve for y:
2 y - 5 x = 6
Add 5 x to both sides:
2 y = 5 x + 6
Divide both sides by 2:
Answer: y = (5 x)/2 + 3
<h2>Twenty</h2><h3>twenty</h3>
And in numerical form, 20