I think it’s between 50-55
Answer:
this isn’t a 100% guaranteed correct answer but maybe the second option saying “PQ and P’G’ are parallel”
(i’m doing the test rn)
ANSWER
On photo
EXPLANATION
Use the quadratic formula since the equation doesn't factorize not simplify by 3
Answer:
amplitude = |-4| =4
period = 2 pi/3
phase shift = pi / 3
midline = 2
Step-by-step explanation:
f(x)=-4 cos (3x-pi)+2
The equation is in the form
f(x) = a cos (bx -c) +d where |a| is the amplitude
period is 2 pi /b
phase shift: c/b
midline = d
amplitude = |-4| =4
period = 2 pi/3
phase shift = pi / 3
midline = 2
Answer:
The rate of change is m = -5.093
Step-by-step explanation:
If we have a function f(x)
then the rate of change of this function in the interval [b, c] is:
![m = \frac{f(c)-f(b)}{c-b}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Bf%28c%29-f%28b%29%7D%7Bc-b%7D)
In this problem the function is:
y el intervalo es:
to ![x =\frac{\pi}{2}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B%5Cpi%7D%7B2%7D)
First we must find
and ![f(\frac{\pi}{2})](https://tex.z-dn.net/?f=f%28%5Cfrac%7B%5Cpi%7D%7B2%7D%29)
![f(\frac{\pi}{2}) = -2cos(4(\frac{\pi}{2}))-3\\\\f(\frac{\pi}{2}) = -2cos(2\pi)-3\\\\f(\frac{\pi}{2}) = -5](https://tex.z-dn.net/?f=f%28%5Cfrac%7B%5Cpi%7D%7B2%7D%29%20%3D%20-2cos%284%28%5Cfrac%7B%5Cpi%7D%7B2%7D%29%29-3%5C%5C%5C%5Cf%28%5Cfrac%7B%5Cpi%7D%7B2%7D%29%20%3D%20-2cos%282%5Cpi%29-3%5C%5C%5C%5Cf%28%5Cfrac%7B%5Cpi%7D%7B2%7D%29%20%3D%20-5)
Now we find ![x =\frac{\pi}{4}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B%5Cpi%7D%7B4%7D)
![f(\frac{\pi}{4}) = -2cos(4(\frac{\pi}{4}))-3\\\\f(\frac{\pi}{4}) = -2cos(\pi)-3\\\\f(\frac{\pi}{4}) = -1](https://tex.z-dn.net/?f=f%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%20%3D%20-2cos%284%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%29-3%5C%5C%5C%5Cf%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%20%3D%20-2cos%28%5Cpi%29-3%5C%5C%5C%5Cf%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%20%3D%20-1)
Then:
![m = \frac{f(\frac{\pi}{2})-f(\frac{\pi}{4})}{\frac{\pi}{2}-\frac{\pi}{4}}\\\\m = \frac{5-(-1)}{\frac{\pi}{2}-\frac{\pi}{4}}\\\\m = -5.093](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Bf%28%5Cfrac%7B%5Cpi%7D%7B2%7D%29-f%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%7D%7B%5Cfrac%7B%5Cpi%7D%7B2%7D-%5Cfrac%7B%5Cpi%7D%7B4%7D%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B5-%28-1%29%7D%7B%5Cfrac%7B%5Cpi%7D%7B2%7D-%5Cfrac%7B%5Cpi%7D%7B4%7D%7D%5C%5C%5C%5Cm%20%3D%20-5.093)