Write an equation in slope-intercept form with slope 5/3 and y-intercept of -2. show you work

y = (5/3)x

Step-by-step explanation:

Write out the slope-intercept form:  y = mx + b

and then substitute the givens for m and b:  (5/3) for m and (-2) for b:

y = (5/3)x - 2 (answer)

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

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)