Gym rents out its basketball courts for 50 dollars for a night while charging an additional entrance fee of 3 dollars for every player using the court. if the gym made 83 dollars in a night, write an equation that correctly models the situation for the unknown number of players, p

11

Step-by-step explanation:

Your constant rate in order to rent out the gym is $50(that number will never go up or down) The player fee which is $3 is your x, meaning it can change. The total made was $83 so first subtract your flat rate ($50) which leaves you with $33 divide this amount by the player fee ($3) and that leaves you with 11, which is the number of players

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)