The vertex of the absolute value function f(x) = |x| is (0,0).
What about <span>f(x)=-|x+2|-2? This can be re-written as f(x) = -|x-(-2)| -2.
Three things happen here: first, the graph of f(x) = |x| must be inverted, so that it opens down instead of up; second, the resulting graph must be translated 2 units to the left; and third, the resulting graph must be translated 2 units down.
</span>
This is for 6^7 and ill comment the next one
Answer: After 4.55 hours the ships will be nearest to each other, and this distance would be 54.54 km.
Step-by-step explanation:
Since we have given that
Distance between ship A and ship B = 100 km
Speed at which Ship A is sailing west = 12 km/hr
Speed at which Ship B is sailing south = 10 km/hr
Since they are sailing opposite to each other, so their relative speed would be
![12+10=22\ km/hr](https://tex.z-dn.net/?f=12%2B10%3D22%5C%20km%2Fhr)
So, Time taken is given by
![time=\dfrac{Distance}{Speed}=\dfrac{100}{22}=4.55\ hrs](https://tex.z-dn.net/?f=time%3D%5Cdfrac%7BDistance%7D%7BSpeed%7D%3D%5Cdfrac%7B100%7D%7B22%7D%3D4.55%5C%20hrs)
Distance would be
![\dfrac{x}{12}=\dfrac{100-x}{10}\\\\10x=12(100-x)\\\\10x=1200-12x\\\\10x+12x=1200\\\\ 22x=1200\\\\x=\dfrac{1200}{22}\\\\x=54.54\ km](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B12%7D%3D%5Cdfrac%7B100-x%7D%7B10%7D%5C%5C%5C%5C10x%3D12%28100-x%29%5C%5C%5C%5C10x%3D1200-12x%5C%5C%5C%5C10x%2B12x%3D1200%5C%5C%5C%5C%2022x%3D1200%5C%5C%5C%5Cx%3D%5Cdfrac%7B1200%7D%7B22%7D%5C%5C%5C%5Cx%3D54.54%5C%20km)
Hence, After 4.55 hours the ships will be nearest to each other, and this distance would be 54.54 km.
Good evening ,
Answer:
(x-1) ; (x+3) and (x+5).
Step-by-step explanation:
Since 1 , -3 , -5 are roots of the polynomial function
then the factors of f are:
(x-1) ; (x+3) and (x+5).
:)