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Answer: y=3/7x + 5
Step-by-step explanation:
Simplify
f(x) = 3 + 11
Multiple
fx = 3x + 11
<span>Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Divide each side by 'x'.
f = 11x-1 + 3
Simplifying
f = 11x-1 + 3
Reorder the terms:
f = 3 + 11x<span>-1</span></span>
Answer:
dy/dt = y ( 3 - y )
Step-by-step explanation:
Given data:
Determine an autonomous differential equation with the following properties
y = 0 and Y = 3
y' > 0 for 0 < y < 3
y' < 0 for -∞ < y < 0 and 3 < y < ∞
considering an autonomous differential equation
dy/dt = y ( 3 - y )
y = 0 and 3 represents equilibrium solutions
if 0 < y < 3 then y ( 3 - y ) > 0 for 0 < y < 3
hence : dy / dt = y' > 0 for 0 < y < 3
y ( 3 - y ) < 0 for -∞ < y < 0 and 3 < y < ∞
hence : dy / dt = y' < 0 for -∞ < y < 0 and 3 < y < ∞
this shows that the autonomous differential equation satisfies every condition hence the autonomous differential equation is :
dy/dt = y ( 3 - y )
Answer:
(x+2)(x+4)=x^2+6x+8
Step-by-step explanation:
first you foil (x+2)(x+4) and you get x^2, 2x+4x+8
then combine like terms and you get x^2+6x+8
