1.) <span>the ratio of the note A to middle C = 440.0 / 261.6 = 1.6820 ≈ 1.6818
2.) </span><span>the ratio of the note D to middle C = 293.7 / 261.6 = 1.1227
3.) </span><span>D# = 293.6 x 1.0595 = 311.1
4.) </span><span>the ratio of the frequency of G to C is 1 : 262/392 = 1 : 0.6683 ≈ 3 : 2
5.) </span><span>the ratio of the frequency of E to C = 1 : 262/330 = 1 : 0.7939 ≈ 5 : 4
6.) The </span><span>component in a musical note is referred to as the pitch of a sound is the frequency.</span>
A second degree polynomial function has the general form:
, where
.
The leading coefficient is a, so we have a=-1.
5 is a double root means that :
i) f(5)=0,
ii) the discriminant D is 0, where
.
Substituting x=5, we have
f(5)=a(5)^2+b(5)+c,
and since f(5)=0, and a is -1 we have:
0=-25+5b+c
thus c=25-5b.
By ii)
.
Substituting a with -1 and c with 25-5b we have:
Finally we find c: c=25-5b=25-50=-25
Thus the function is
Remark: It is also possible to solve the problem by considering the form
directly.
In general, if a quadratic function has leading coefficient a, and has a root r of multiplicity 2, then its form is
Answer:
2x = 10
Step-by-step explanation:
7 + 3x = 22
-7 -7
Subtract 7 from both sides (you are trying to get the variable alone, and to do that, you have to get every other number to 0. <em>7 - 7 = 0</em>. BUT, whatever you do, you have to do to both sides.)
3x = 15
/3 /3
Divide both sides by three to get the variable alone.
x = 5
Now, plug in the value of x to the second equation and solve.
2(5) = ? --> 10
Answer: 1,000,000,000*10
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Answer:
False
Step-by-step explanation: