Degree 4 means you'll have x^4 as your leading term. Multiplicity of 3 means you have the same factor 3 times. So if x = -2, then (x + 2) = 0, so (x + 2) is used 3 times. FOIL that out 3 times and you get x^3 + 6x^2 + 12x + 8. Now multiply by (x + 0) to get a 4th degree polynomial of x^4 + 6x^3 + 12x^2 + 8x. There!
We have to assume that the speed before being stuck was sufficient to get to the destination on time had there been no delay. Call that speed "s" in km/h.
Since 200 km is "halfway", the total distance must be 400 km.
time = distance / speed
total time = (time for first half) + (delay) + (time for second half)
400/s = 200/s + 1 + 200/(s+10) . . . .times are in hours, distances in km
200/s = 1 + 200/(s+10) . . . . . . . . . . subtract 200/s
200(s+10) = s(s+10) +200s . . . . . . .multiply by s(s+10)
0 = s² +10s - 2000 . . . . . . . . . . . . . .subtract the left side
(s+50)(s-40) = 0
Solutions are s = -50, s = 40
The speed of the bus before the traffic holdup was 40 km/h.
Answer:
Decrease the sample size.
Step-by-step explanation:
Margin of error is:
ME = CV × √(σ / n)
where σ is the population standard deviation, or:
ME = CV × √(p (1 − p) / n)
where p is the proportion.
In each case, the margin of error is directly proportional to the critical value, and inversely proportional to √n.
Lowering the confidence level will lower the critical value, which will decrease the margin of error. Decreasing the sample size will increase the margin of error.
Answer:
x = 0, y = 0
Step-by-step explanation:
Answer: 12 12/18 cups flour and 18 eggs.
Step-by-step explanation:
