Answer:
Step-by-step explanation:
2^-3=1/2^3
3^-2=1/3^2
(2^-3)(3^-2)=1/72
Answer:
<u>The greatest depth of the Southern Ocean is 7.24 kilometers</u>
Correct statement, question and data:
The table shows the greatest depths of four of the five oceans in the world. If the average greatest depth is 8.094 kilometers, what is the greatest depth of the Southern Ocean?
Please see the table attached.
Source:
Question that can be found at mathpractice101
Step-by-step explanation:
Let's answer the question, this way:
Depth of the Southern Ocean = x
For solving x, we have:
(10.92 + 9.22 + 7.46 + 5.63 + x)/5 = 8.094
10.92 + 9.22 + 7.46 + 5.63 + x = 40.47 (Multiplying by 5 at both sides)
33.23 + x = 40.47
x = 40.47 - 33.23 (Subtracting 33.23 at both sides)
<u>x = 7.24</u>
<u>The greatest depth of the Southern Ocean is 7.24 kilometers</u>
<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:
-3x + y = -14
Step-by-step explanation:
m = 3/1 = 3
1 = 15 + b
b = -14
Y = 3x - 14
-3x + y = -14
“a” would equal 7!! hope this helps :)
