Answer:
x^2 - 2x + 5 = 0.
Step-by-step explanation:
The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as
y = ax^2 + bx + 5 where a and b are constants to be found.
Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:
a(1)^2 + 1b + 5 = 4
a(2)^2 + 2b + 5 = 5
Simplify these 2 equations:
a + b = -1 .................(1)
4a + 2b = 0..................(2)
Multiply the first equation by -2:
-2a - 2b = 2 .................(3)
Add (2) + (3):
2a = 2
a = 1.
Substitute a = 1 into (2):-
4*1 + 2b = 0
2b = -4
b = -2.
Answer:
Step-by-step explanation:
To rid the denominators, multiply both sides by 
.
We get:
Simplifying, we have:
Solving, we get:
Therefore, the solution with the greatest value is 
Answer:
The frequency increases as the pitch increases, and the amplitude increases as the volume increases
Step-by-step explanation:
Recall the binomial theorem.
1. The binomial expansion of 
is
Observe that
When we multiply these by 
,
• 
and 
combine to make 
• 
and 
combine to make 
and the sum of these terms is
2. The binomial expansion is
We get the 
term when 
:
