En la materia de estudios sociales, la tendencia es una disminución gradual. En cuanto a las demás asignaturas, los resultados varían a lo largo de los años.
Hello!
(x+a)·(x+b) equals x²+xa+xb+ab which simplifies to x²-12x-45
x² equals x²
xa+xb can be expressed as (a+b)x = -12x thus, (a+b) = -12
ab equals -45
Under what conditions do (a+b) equal -12 and ab equal -45?
+3-15 results in -12 while (+3)(-15) gives -45
-3-15 yields -18 and (-3)(-15) results in +45
+3+15 produces +18 and (+3)(+15) also equal to +45
-3+15 equals +12 and (-3+15) results in -45
Conclusion:
(x+3)(x-15)
The question is:
Examine a differential equation expressed as
y′ = f(αt + βy + γ),
where α, β, and γ are constants. Employ the variable change
z = αt + βy + γ to reformulate the differential equation as a separable equation of the type z′ = g(z).
Answer:
The equation
y′ = f(αt + βy + γ)
can be rephrased as
dy/dt = f(αt + βy + γ).
Our goal is to rewrite this differential equation in the form
z' = g(z), that is dz/dt = g(z).
First, be aware that
dz/dt = (dz/dy) * (dy/dt)...................(1)
Utilizing the substitution
z = αt + βy + γ
as specified,
dz/dy = β..........................................(2)
dy/dt = f(αt + βy + γ) = f(z)............(3)
From equations (2) and (3),
dz/dt = β.f(z) = g(z)
Thus,
z' = g(z)
Where g(z) = βf(z).
Begin by determining the monthly interest rate as follows:
<span>Each month, we deduct the monthly rate and the 5% payment from $463, leading to the following formula:</span>
<span>
Therefore, after three months, Bridgette will have a remaining balance of $381.5 in her account.</span>
805 tens
805x10=8050
805 tens equals 8050
