Answer:
x is less than -3
Step-by-step explanation:
3x^2+9x<0
x^2+3x<0
x(x+3)<0
x+3<0
x<-3
Answer:
Total length of the first swing=64 m
Step-by-step explanation:
The total length of all four swings can be expressed as;
Total length of all 4 swings=Length of first swing+length of second swing+length of third swing+length of fourth swing
where;
Total length of all 4 swings=175 m
Length of first swing=x
Length of second swing=75% of length of first swing=(75/100)×x=0.75 x
Length of third swing=75% of length of second swing
Length of third swing=(75/100)×0.75 x=0.5625 x
Length of fourth swing=75% of length of third swing
Length of fourth swing=(75/100)×0.5625 x=0.421875 x
replacing;
Total length of all 4 swings
175=x+0.75 x+0.5625 x+0.421875 x
2.734375 x=175
x=175/2.734375
x=64
Total length of the first swing=x=64 m
Answer:
9
Step-by-step explanation:
Answer:


x(0)=20,y(0)=5
Step-by-step explanation:
We are given that
Tank A contains water=80 gallons
x(0)=20,y(0)=5
Tank B contains water=30 gallons
Rate=4 gallon/min
Concentration of salt is pumped into tank=0.5 pound /gallon of water
Solution pumped from tank A to tank B at the rate=6 gallons/min
Solution pumped from tank B to tank A at the rate=2gallon/min
Solution from tank B is pumped out of the system at the rate=4 gallon/min
We have to find the DE at time t
For x
Rate in=
Rate in=
Rate out=
Rate out=3x/40[/tex]
Rate in-Rate out


For y
Rate in=
Rate in=3/40x
Rate out=
Rate out=y/5
Rate in-Rate out
