Step-by-step explanation:
When Delta(b^2-4ac) is greater than 0, the quadratic equation has two distinct real solutions, when it is equal to 0, the quadratic equation has one real solution, when it is negative, it has no real solutions.
Rewrite equation so that it is homogeneous .
Solve characteristic equation:
The solutions to the homogeneous equation are:
Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
Answer:
$17.46 it stays the same smh
Step-by-step explanation:
2*pi*R is the equation for circumference
seeing as the number isn't multiplied my pi yet all we have to do is divide by 2
the radius of the circle is 100<span />
Answer:
Step-by-step explanation:
f(x) = 6(x+2)²-6
f⁻¹(f(x)) = x
f(x) = t => 6(x+2)²-6 = t =>
=> 6(x+2)² = t+6 =>
=> (x+2)² = t/6 + 1
=> x+2 = ±√(t/6 + 1)
=> x = ±√(t/6 + 1) - 2
=> f⁻¹(x) =
{√(x/6 + 1) - 2, x > -6
{-√(x/6 + 1) - 2, x ≤ -6