Answer:
25 is greater than -4(-4) because -4(-4) is 16, which is less than 25.
Answer:
The amplitude is 3 and the period is 10π/9.
Step-by-step explanation:
The standard cosine function is in the form:
![y=a\cos(b(x-c))+d](https://tex.z-dn.net/?f=y%3Da%5Ccos%28b%28x-c%29%29%2Bd)
Where |<em>a</em>| is the amplitude, 2π/<em>b</em> is the period, <em>c</em> is the phase shift, and <em>d </em>is the vertical shift.
We have the function:
![f(x)=\displaystyle 3\cos\frac{9}{5}t](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdisplaystyle%203%5Ccos%5Cfrac%7B9%7D%7B5%7Dt)
We can rewrite this as:
![\displaystyle f(x)=(3)\cos\left(\frac{9}{5}\left(t-0\right)\right)-(0)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28x%29%3D%283%29%5Ccos%5Cleft%28%5Cfrac%7B9%7D%7B5%7D%5Cleft%28t-0%5Cright%29%5Cright%29-%280%29)
Therefore, <em>a</em> = 3, <em>b</em> = 9/5, <em>c</em> = 0, and <em>d</em> = 0.
Hence, our amplitude is |3| = 3.
Our period will be:
![\displaystyle \text{Period}=\frac{2\pi}{9/5}=2\pi \cdot \frac{5}{9}=\frac{10\pi}{9}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctext%7BPeriod%7D%3D%5Cfrac%7B2%5Cpi%7D%7B9%2F5%7D%3D2%5Cpi%20%5Ccdot%20%5Cfrac%7B5%7D%7B9%7D%3D%5Cfrac%7B10%5Cpi%7D%7B9%7D)
Answer:
3x^2
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
It will move but stay the same size. You are translating the shape to a different spot, not adding onto its size.
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I hope this helps!
-No one
Answer:
y = -2x + 8/5
Step-by-step explanation: