Answer:
-n=-3
Step-by-step explanation:
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Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -2 = -2</span>
Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is <span> 1 </span>.
<span><span> -2 + 1 = -1</span><span> -1 + 2 = 1 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 2
<span>x2 - 1x</span> + 2x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-1)
Add up the last 2 terms, pulling out common factors :
2 • (x-1)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-1)
Which is the desired factorization
Final result : (x + 2) • (x - 1) • (x - 3) • (2x - 5)
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Answer:
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Given that y varies directly with x in the above table, if the value of x is 5, the value of y is 15.
<h3>How to calculate direct variation?</h3>
According to this question, a 2-column table with 5 rows is given.
- Column 1 is labeled x with entries 1, 3, 6, 9, 12
- Column 2 is labeled y with entries 3, 9, 18, 27, 36
If y varies directly with x, the mathematical representation is as follows:
y = kx
Since y = 3, when x = 1
3 = k × 1
k = 3
The relationship between x and y is as follows: y = 3x
Therefore, if the value of x is 5, the value of y = 3 × 5 = 15.
Learn more about direct variation at: brainly.com/question/14254277
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