Find the value of StartFraction partial derivative z Over partial derivative x EndFraction at the point (1,1,1) if the equation 5 xy plus z Superscript 4 Baseline x minus 3 yz equals 3 defines z as a function of the two independent variables x and y and the partial derivative exists.

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

[10 points, algebra 2-simplifying complex fractions]according to my answer key the restrictions are -1 and 4. but why not positive 1?

Write an inequality for this description. - one fourth of the opposite of the difference of five and a number is less than twenty.