Answer:
mathematics is the study of numbers shapes and patterns
<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:
B is the correct answer, as x - 2 in the exponent would move the graph to the right 2.
Answer:
20 miles.
Step-by-step explanation:
Let m be number of miles.
Laguana's Truck Rentals charges $20 plus $2 per mile.
Total cost of Laguana's Truck = 
.... (1)
Salvatori's truck rentals charges $3 per mile.
Total cost of Salvatori's truck = 
... (2)
We need to find the number of hours after that the total cost for both companies will be the same.
Therefore, after 20 miles the total cost for both companies will be the same.
Answer:
Step-by-step explanation:
d(t)=-2t^2+9t+18
calculate the derivate : f'(t) = - 4t+9
f'(t) = 0 : - 4t+9= 0 so t = 9/4
the maximum value is f(9/4) = ....... continue
