The total dosage of penicillin V received by a patient is proportional to the number of days the drug is administered. The recommended dosage is 500 mg per day. Which equation could be used to determine the total grams of penicillin (y) the patient receives over a certain number of days (x)? A) y = 500 x B) y = x 500 C) y = x + 500 D) y = 500x

D) y = 500*x

Step-by-step explanation:

To know the amount of penicillin supplied per day, it is necessary to know the constant amount that is supplied daily, in this case it is 500 mg, this value being my constant of variation. Therefore, if 500 mg of the drug is consumed every day, the equation would be the multiplication of the number of days and the constant of variation as follows:

y = 500 * x

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)