Answer:
![11x^{2} -5x+5](https://tex.z-dn.net/?f=11x%5E%7B2%7D%20-5x%2B5)
Step-by-step explanation:
![3x^{2}-4x-1+8x^{2} -x+6](https://tex.z-dn.net/?f=3x%5E%7B2%7D-4x-1%2B8x%5E%7B2%7D%20-x%2B6)
![3x^{2}+8x^{2}-4x-x-1+6](https://tex.z-dn.net/?f=3x%5E%7B2%7D%2B8x%5E%7B2%7D-4x-x-1%2B6)
Combine like terms
![11x^{2}-5x +5](https://tex.z-dn.net/?f=11x%5E%7B2%7D-5x%20%2B5)
Answer:
12
Step-by-step explanation:
12 is 75 of 15 %^%^%^%^^^___<<<7<
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:
Ari catches up to Amanda at 19.3 meters
Step-by-step explanation:
Given :
Ari is swimming a 25-meter race.
After swimming 6 meters she catches up to Amanda in a ratio of 7:3 from the 6-meter mark.
Solution :
The distance between 6 meters and 25 meters = 19 meters.
Since she catched Amanda in ratio 7:3
So, she catched her at 7/10 of the distance
So, the distance at which she catched Amanda = ![\frac{7}{10} *19](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B10%7D%20%2A19)
=13.3
Ari catches 13.3 metres from 6 m marks
The point on number line at which she catches her = 13.3+6
Hence Ari catches up to Amanda at 19.3 meters
your answer is y = -3x + 2