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:
C
Step-by-step explanation:
-×/6>_3
-x>_3×6
-x>_18
x<_-18
Answer:
The distance she bikes is 11/6 times as much as the distance she runs.
Step-by-step explanation:
Alex bikes 2.75 miles, runs 1.5 miles. The distance she bikes is 2.75/1.5 times as much as the distance she runs.
The distance she bikes is 11/6 times as much as the distance she runs.
Switch sides
4/5 (x+3)=y+6
Multiply both sides by 5
5*4/5 (x+3) = 5y+5*6
Simplify
4(x+3) = 57+30
Divide both sides by 4
4(x+3)/4 = 5y/4+ 30/4
Simplify
x+3 = 5y+30/4
Subtract 3 from both sides
x+3 - 3 = 5y+30/4 - 3
Simplify
x=5y+30/4 - 3
C is the answer
they have equivalent sides and equivalent measurements
