Answer:
D. y = (x - 3)²
Step-by-step explanation:
The parabola formula in vertex form is:
y = a(x - h)² + k
where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:
y = a(x - 3)² + 0
y = a(x - 3)²
In all possible options the leading coefficient <em>a</em> is equal to one. Therefore:
y = (x - 3)²
is the same as ![\frac{1}{3}x^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%5E2)
Dividing by 3 is the same as multiplying by the fraction 1/3
Complete Question
A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set was split into 5 segments (each 6.4 seconds long), what is the resulting:
a)F minimum
b) F maximum
c) Frequency resolution
Answer:
a) ![Fmax=100Hz](https://tex.z-dn.net/?f=Fmax%3D100Hz)
b) ![Fmin=0Hz](https://tex.z-dn.net/?f=Fmin%3D0Hz)
c) ![F_r=0.0313](https://tex.z-dn.net/?f=F_r%3D0.0313)
Step-by-step explanation:
From the question we are told that:
Time ![t=32sec](https://tex.z-dn.net/?f=t%3D32sec)
Frequency![F=200Hz](https://tex.z-dn.net/?f=F%3D200Hz)
Segments ![\mu=5](https://tex.z-dn.net/?f=%5Cmu%3D5)
Generally the equation for Frequency Range is mathematically given by
![Fmax=\frac{F}{2}](https://tex.z-dn.net/?f=Fmax%3D%5Cfrac%7BF%7D%7B2%7D)
![Fmax=100Hz](https://tex.z-dn.net/?f=Fmax%3D100Hz)
Therefore
a) ![Fmax=100Hz](https://tex.z-dn.net/?f=Fmax%3D100Hz)
b) ![Fmin=0Hz](https://tex.z-dn.net/?f=Fmin%3D0Hz)
c)
Generally the equation for Frequency Resolution is mathematically given by
![F_r=\frac{F}{N}](https://tex.z-dn.net/?f=F_r%3D%5Cfrac%7BF%7D%7BN%7D)
Where
N=The Total dat points
N=Sampling Frequency *Time
![N=200*32](https://tex.z-dn.net/?f=N%3D200%2A32)
![N=6400](https://tex.z-dn.net/?f=N%3D6400)
Therefore
![F_r=\frac{200}{6400}](https://tex.z-dn.net/?f=F_r%3D%5Cfrac%7B200%7D%7B6400%7D)
![F_r=0.0313](https://tex.z-dn.net/?f=F_r%3D0.0313)
16a^18 is the answer for what you typed
If the question was ((2a^3)(4a^6)(2a^3))^6, then the answer would be 16a^72.
Let the smaller one is x so the larger is x+1
x(x+1)=1332
x^2+x=1332
x^2 +x -1332 =0
(x - 36)(x + 37) =0
so x = 36 or x = -37
therefor the larger integer is either 37 or -36