Answer:
D
Step-by-step explanation:
If (x - 5) is a factor of P(x) then P(5) = 0 ← Factor theorem
Given
P(x) = x³ - 5x² - x + 5, then
P(5) = 5³ - 5(5)² - 5 + 5 = 125 - 125 - 5 + 5 = 0
Since P(5) = 0 then (x - 5) is a factor of P(x)
<span>f(0)=3 and f(n+1) = -f(n) + 5 for n≥0
so f(1) = -f(0) + 5 = -3 + 5 = 2
f(2) = -f(1) + 5 = -2 + 5 = 3
</span>
Answer: 17.59 cm
Step-by-step explanation: C=2πr=2·π·2.8=17.59292 cm
There would be 48 freight trains and 8 passenger trains in 12 hours, the total of trains would be 56 trains.
For this case, the first thing we must do is define variables:
p: plane speed
w: wind speed
With the wind in favor, the speed is:
With the wind against the speed is:
Rewriting both equations, we have the following system of equations:
Then, solving the system of equations (graphically for example), we have the solution is:
Therefore, jet stream's speed:
Answer:
A) p + w = 960; p - w = 600; jet stream's speed = 180 km / h