The <em>first</em> series uses a <em>linear</em> function with - 1 as <em>first</em> element and 1 as <em>common</em> difference, then the rule corresponding to the series is y = |- 1 + x|.
The <em>second</em> series uses a <em>linear</em> function with - 3 as <em>second</em> element as 2 as <em>common</em> difference, then the rule corresponding to the series is y = |- 3 + 2 · x|.
<h3>What is the pattern and the function behind a given series?</h3>
In this problem we have two cases of <em>arithmetic</em> series, which are sets of elements generated by a condition in the form of <em>linear</em> function and inside <em>absolute</em> power. <em>Linear</em> <em>functions</em> used in these series are of the form:
y = a + r · x (1)
Where:
- a - Value of the first element of the series.
- r - Common difference between two consecutive numbers of the series.
- x - Index of the element of the series.
The <em>first</em> series uses a <em>linear</em> function with - 1 as <em>first</em> element and 1 as <em>common</em> difference, then the rule corresponding to the series is y = |- 1 + x|.
The <em>second</em> series uses a <em>linear</em> function with - 3 as <em>second</em> element as 2 as <em>common</em> difference, then the rule corresponding to the series is y = |- 3 + 2 · x|.
To learn more on series: brainly.com/question/15415793
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Answer:
Step-by-step explanation:
Weight decreased = 108 - 88 = 20 Kg
Percentage decrease = 
= 18.52%
Solution:
<u>Note that:</u>
- 3x + 50 = 6x - 10 (Vertically opposite angles)
Simplify the equation to find x.
<u>Add 10 both sides.</u>
- 3x + 50 = 6x - 10
- => 3x + 50 + 10 = 6x - 10 + 10
- => 3x + 60 = 6x
<u>Subtract 3x both sides.</u>
- 3x + 60 = 6x
- => 3x - 3x + 60 = 6x - 3x
- => 60 = 3x
<u>Divide 3 both sides.</u>
- 60 = 3x
- => 60/3 = 3x/3
- => x = 20
A.
<u>You would leave $30.24 as the tip.</u>
That's a LOT!
B.
<u>The total amount being paid is $178.08.</u>
A total of a $10.08 tax!
C.
<u>You would have spent a total of $208.32.</u>
Yikes!
Hope this helped! If it didn't, please tell me so I can fix it!
