12+3x=2x
12=-x
-12=x
the number is negitive 12
Answer:
52 Empty Seats
Step-by-step explanation:
10 rows of 8 seats would be 10 x 8, which you would get 80. Then you would subtract the amount of people seated in those seats. which is 28
10 x 8 = 80
80 - 28 = 52
There are 52 empty seats left.
The rate of trip 2 is 5 km/h
The time of trip 1 is 0.9-x hours
Complete question :
Wang Yong owes the bank $8500. To repay the debt, he paid a fixed amount back to the bank each month. After 12 months, his remaining debt was $6460. How much did Wang Yong pay each month?
Answer:
$170
Step-by-step explanation:
Given that:
Amount owed = $8500
Fixed amount replayed per month :
Amount left after 12 months = $6460
Amount paid per month :
Total amount paid over 12 months :
$(8500 - 6460) = $2040
Amount paid per month :
$2040 / 12
= $170
The solution to the given differential equation is yp=−14xcos(2x)
The characteristic equation for this differential equation is:
P(s)=s2+4
The roots of the characteristic equation are:
s=±2i
Therefore, the homogeneous solution is:
yh=c1sin(2x)+c2cos(2x)
Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:
yp=Axsin(2x)+Bxcos(2x)
If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:
A=0
B=−14
Therefore,
yp=−14xcos(2x)
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