You buy a day pass to use the subway for $5. After buying the pass, you pay $2 per ride. Write an equation to describe how much money, y, you pay to ride x number of rides.

Hi there!

So here says that when I buy a day pass using the subway I pay $5 and $2 per ride.

This means that it’ll be $7 per ride.

y=7

x=1

So for every 1 ride on the subway, I have to spend $7.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

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)