First you would add 5/6 and 3/6 which would be 8/6. Next you would convert the improper fraction (8/6) into a mixed number which would be 1 2/6. Now just add 7 and 2 which is 9. Finally you would add the whole number and the mixed number. So your answer is 10 2/6 unless the instructions say to simplify then your answer would be 10 1/3.
P(t)=500(1+4t/(50+t^2 ))
P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2
by the quotient rule
500 (-4t^2 + 200)/(t^2 + 50)^2
Hence
P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6
Better quality would help, have a good day/night
Linear function: d = -4m+50 (that's a negative 4 btw)
Slope: -4
y-intercept: 50
I'm truly sorry but I forgot how to do the last one :(
