694,891 - 35,427 rounded to the nearest ten thousand is 614,000.
<h2>>>> Answer <<<</h2>
Let's check which polynomial is divisible by ( x - 1 ) using hit , trial and error method .
A ( x ) = 3x³ + 2x² - x
The word " divisible " itself says that " it is a factor "
Using factor theorem ;
Let;
=> x - 1 = 0
=> x = 1
Substitute the value of x in p ( x )
p ( 1 ) =
3 ( 1 )³ + 2 ( 1 )² - 1
3 ( 1 ) + 2 ( 1 ) - 1
3 + 2 - 1
5 - 1
4
This implies ;
A ( x ) is not divisible by ( x - 1 )
Similarly,
B ( x ) = 5x³ - 4x² - x
B ( 1 ) =
5 ( 1 )³ - 4 ( 1 )² - 1
5 ( 1 ) - 4 ( 1 ) - 1
5 - 4 - 1
5 - 5
0
This implies ;
B ( x ) is divisible by ( x - 1 )
Similarly,
C ( x ) = 2x³ - 3x² + 2x - 1
C ( 1 ) =
2 ( 1 )³ - 3 ( 1 )² + 2 ( 1 ) - 1
2 ( 1 ) - 3 ( 1 ) + 2 - 1
2 - 3 + 2 - 1
4 - 4
0
This implies ;
C ( x ) is divisible by ( x - 1 )
Similarly,
D ( x ) = x³ + 2x² + 3x + 2
D ( 1 ) =
( 1 )³ + 2 ( 1 )² + 3 ( 1 ) + 2
1 + 2 + 3 + 2
8
This implies ;
D ( x ) is not divisible by ( x - 1 )
<h2>Therefore ; </h2>
<h3>B ( x ) & C ( x ) are divisible by ( x - 1 ) </h3>
Answer:
40: 1, 2, 4, 5, 8, 10, 20, 40
150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Step-by-step explanation:
Answer: 30%
Step-by-step explanation:
Percent error = ![\dfrac{|\text{Estimated value - Actual value}|}{\text{Actual value}}\times100\%](https://tex.z-dn.net/?f=%5Cdfrac%7B%7C%5Ctext%7BEstimated%20value%20-%20Actual%20value%7D%7C%7D%7B%5Ctext%7BActual%20value%7D%7D%5Ctimes100%5C%25)
Estimated number of games win this year = 7
Actual number of games won = 10
Now , the percent error of Doug’s estimate = ![\dfrac{|7-10|}{10}\times100\%= \dfrac{3}{1}\times10\%=30\%](https://tex.z-dn.net/?f=%5Cdfrac%7B%7C7-10%7C%7D%7B10%7D%5Ctimes100%5C%25%3D%20%5Cdfrac%7B3%7D%7B1%7D%5Ctimes10%5C%25%3D30%5C%25)
Hence, the percent error of Doug’s estimate = 30%