Hi there!
We can use long division to find the other roots of p(x).
We know that x + 1 is a factor, so:
Set up:
Find how many times that the first term in the divisor goes into the first of the dividend. Subtract from like terms.
x² - x - 6
x + 1 | x³ + 0x² - 7x - 6
x³ + x²
0 - x² - 7x
- x² - x
0 - 6x - 6
-6x - 6
0 0
Therefore, x² - x - 6 is another factor. We can factor this further:
Find two numbers that add up to -1 and multiply into -6. We get:
-3, 2
(x - 3)(x + 2)
The entire polynomial factored is:
(x -3)(x + 2)(x + 1)
Step-by-step explanation:
The given rational function defined by the equation:
where :k = average number of vehicles arriving at the gate per minute
r = average number of vehicles admitted by the park attendants
T = the average waiting time in minutes for each vehicle
a) k = 26 , r = ?, T = 30 seconds
T(r) = 30 seconds
on solving:
r = 0.016657 , 30.017
r = 30.017 (accept, given that r > k )
Admittance rate r that is necessary to keep the average waiting time T for each vehicle to 30 sec is 30.017.
b) k = 5.3, r = ?, T = 30 seconds
T(r) = 30 seconds
r = 0.016657 , 5.31672
r = 5.31672 (accept, given that r > k )
5.31672 park attendants will be needed to keep the average wait to 30 seconds.
Answer:
40Kg
Step-by-step explanation:
Rule of 3
12cm---------------96kg
5cm----------------?kg
multiply 5 by 96 and divided by 12
Answer:
x= 60
Step-by-step explanation:
Answer:
4.101
Step-by-step explanation:
4.101