Answer:
x=-10
Explanation:
6x-3=9x+27(distributive property)
6x-9x=27+3(move like terms to one side)
-3x=30(combine like terms)
x=-10(divide both sides by -3)
C
6/3.5 = 14.875/x
6 x 14.875 = 89.25
89.25/3.5 = 25.5
Step-by-step explanation:
dP/dt = -0.4P
Separate the variables and integrate.
dP/P = -0.4 dt
ln|P| = -0.4t + C
P = Ce^(-0.4t)
Use initial condition to find C.
2 = C^(0)
C = 2
P = 2e^(-0.4t)
dQ/dt = -1
Integrate.
Q = -t + C
Use initial condition to find C.
3 = 0 + C
C = 3
Q = -t + 3
Set the two equal.
2e(-0.4t) = -t + 3
Use a calculator to find t.
t = 2.156
The populations have the same size after 2.156 hours.
Using the quadratic formula, plug a=2, b=3, and c=4 into the formula because the equation given can not be factored.
x= -3(+/-) radical (3^2-4*2*2)/2(2)
therefore, x= (-3+ radical 7 i) / 4
x= (-3- radical 7 i )/ 4.
the answer choice is 1.
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