Answer:
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Step-by-step explanation:
The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42
<u>Using trial and error method we will find the first root of the polynomial.</u>
1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42
1 - 10 - 53 - 42 ≠ 0
Therefore 1 is not a root
-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42
- 1 - 10 + 53 - 42
53 - 53 = 0
Therefore - 1 is a root of the polynomial.
Therefore ( x + 1) is a factor.
<u>Now by long division or by using synthetic division we can find other factors.</u>
<u>Synthetic Division :</u>
-1 | 1 -10 -53 - 42
| 0 - 1 11 42
|______________________
1 - 11 - 42 0
Therefore ,
------ ( 1 )
<u>Next further factorize x² - 11x - 42</u>
x² - 11x - 42
= x² - 14x + 3x - 42
=x(x - 14) + 3 (x - 14)
=(x + 3 )(x - 14)
Therefore ,
Answer:
15
Step-by-step explanation:
5:22=15:66, simply multiply 3 in the right hand side
B) $8,250
explanation: since you have a total of 1800 sq ft and it’s $55 dollars per sq ft for the yr, you would start by finding how much it would cost for a year by taking $55 x 1800 sq ft= $99,000 then since you are trying to find the rent for a month you would take the yr value ($99,000) and divide it by 12 since there are 12 months in a yr
99,000/12 = $8,250
The answer would ve B. -204.8 the sum
Answer:
2 5/9 is less than 21/3; 2 5/9 < 21/3
Step-by-step explanation:
<u>Step 1: Convert 2 5/9 into an improper fraction</u>
2 5/9 = 2 * 9/9 + 5/9 = 18/9 + 5/9 = 23/9
<u>Step 2: Convert 21/3 so the denominator is 9</u>
21*3 / 3*3 = 63/9
<u>Step 3: Compare</u>
<em>23/9 < 63/9</em>
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Answer: 2 5/9 is less than 21/3; 2 5/9 < 21/3
