Is x + 3 a factor of P(x) = x³ - 5x² + 3x + 9 ? Explain.
1 answer:
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Step-by-step explanation:
It is given that,
Initial speed of the car, u = 40 m/s
Final speed of the car, v = 25 m/s
Time taken, t = 3.5 s
(a) We need to find the magnitude and direction of the car’s acceleration as it slows down. It can be calculated using formula as :
The acceleration is in the opposite direction of motion i.e. west.
(b) Let s is the distance the car travel in the 3.5-s time period. It can be calculated using the third equation of motion as
s = 113.9 meters
Hence, this is the required solution.
A nickel is equal to 5 cents or 0.05 dollars.
A quarter is equal to 25 cents or 0.25 dollars.
Let number of nickels be = n
Let number of quarters be = q
...........(1)
As it is given, there are 3 more nickels than quarters so equation becomes,
................(2)
Plug in the value of 'n' from (2) in (1)
=
As we get,
Hence, there are 12 nickels and 9 quarters.
Answer:
$114,000
Step-by-step explanation:
Use formula
where
I = interst
P = principal
r = rate
t = time
First, find the interst for 25 years:
I = unknown
P = $190,000
r = 0.03 (3% as decimal)
t = 25
Now find the interest for 5 years:
I = unknown
P = $190,000
r = 0.03 (3% as decimal)
t = 5
The unpaid balance is