An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 6.34 cents per kilowatt-hour to its base charge of $18.38 per month. write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used. (let y be measured in dollars.)

y = 18.38 + 0.0634x

Step-by-step explanation:

Given,

Monthly base charge = $18.38,

Also, the cost of each kilowatt-hours = 6.34 cents = $ 0.0634

( 1 cents = 0.01 dollars ),

So, the cost of x kilowatt-hours = 0.0634x,

If y represents the total monthly charge ( in dollars ) for x kilowatt-hours,

Thus, the total monthly charge for x kilowatt-hours = base charge + cost of x kilowatt-hours,

⇒ y = 18.38 + 0.0634x

Which is the required equation.

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)

where is the diagram? shown below where? ?

step-by-step explanation: