![\bf 2cos^2(x)+3cos(x)-2=0\impliedby \textit{so, notice is just a quadratic} \\\\\\\ [2cos(x)~~-~~1][cos(x)~~+~~2]=0\\\\ -------------------------------\\\\ 2cos(x)-1=0\implies 2cos(x)=1\implies cos(x)=\cfrac{1}{2} \\\\\\ \measuredangle x=cos^{-1}\left( \frac{1}{2} \right)\implies \measuredangle x= \begin{cases} \frac{\pi }{3}\\\\ \frac{5\pi }{3} \end{cases}\\\\ -------------------------------\\\\ cos(x)+2=0\implies cos(x)=-2](https://tex.z-dn.net/?f=%5Cbf%202cos%5E2%28x%29%2B3cos%28x%29-2%3D0%5Cimpliedby%20%5Ctextit%7Bso%2C%20notice%20is%20just%20a%20quadratic%7D%0A%5C%5C%5C%5C%5C%5C%5C%0A%5B2cos%28x%29~~-~~1%5D%5Bcos%28x%29~~%2B~~2%5D%3D0%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0A2cos%28x%29-1%3D0%5Cimplies%202cos%28x%29%3D1%5Cimplies%20cos%28x%29%3D%5Ccfrac%7B1%7D%7B2%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cmeasuredangle%20x%3Dcos%5E%7B-1%7D%5Cleft%28%20%5Cfrac%7B1%7D%7B2%7D%20%5Cright%29%5Cimplies%20%5Cmeasuredangle%20x%3D%0A%5Cbegin%7Bcases%7D%0A%5Cfrac%7B%5Cpi%20%7D%7B3%7D%5C%5C%5C%5C%0A%5Cfrac%7B5%5Cpi%20%7D%7B3%7D%0A%5Cend%7Bcases%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0Acos%28x%29%2B2%3D0%5Cimplies%20cos%28x%29%3D-2)
now, for the second case, recall that the cosine is always a value between -1 and 1, so a -2 is just a way to say, such angle doesn't exist.
It took 32 minutes for Ella to go to school on Friday.
Step-by-step explanation:
Time for first four days in minutes,
30,28,34,31
Let x be the time on Friday
Average = 31 min
As we know

Multiplying both sides by 5;

It took 32 minutes for Ella to go to school on Friday.
Keywords: Average, Addition
Learn more about addition at:
#LearnwithBrainly
Answer:
f-1(x) = √x. +5
Step-by-step explanation:
f(x) = (x-5)^2
x = (y-5)²
√x = y-5
√x +5 = y