You go to a school dance. there is an entrance fee, and there are slices of pizza for sale. after having 1 slice of pizza, you have spent a total of $6. after having 2 more slices of pizza, you have spent a total of $10. write an equation that represents the total cost y after buying x slices of pizza at the dance

answer:

the driving time at 54 miles per hour is 37.04 hours.

the driving time is at 75 miles per hour is 26.67 hours.

the gasoline cost at 54 miles per hour is ​$201.82

the gasoline cost at 75 miles per hour is ​$302.73

step-by-step explanation:

suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per​ hour,

and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour.

the driving time for a 2000​-mile trip if you drive at an average speed of 54 miles per​ hour = distance / speed = 2000 / 54 = 37.04 hours.

the driving time for a 2000​-mile trip if you drive at an average speed of 75 miles per​ hour = distance / speed = 2000 / 75 = 26.67 hours.

assume a gasoline price of ​$3.33 per gallon.

the gasoline cost for a 2000​-mile trip if you drive at an average speed of 54 miles per​ hour = (distance / gas mileage) * cost = (2000/33)*3.33 = $201.82

the gasoline cost for a 2000​-mile trip if you drive at an average speed of 75 miles per​ hour = (distance / gas mileage) * cost = (2000/22)*3.33 = $302.73

answer:

step-by-step explanation:

the equation of the ellipse is

where are the coordinates of the center.

if the vertices of an ellipse are at a(1, 5) and b(1, -5), then the center is the midpoint of the segment ab. hence, the center has coordinates

the coordinates of the vertices satisfy the equation:

if (3, 0) is a point on the ellipse, then its coordinates satisfy the equation:

therefore, the equation of the ellipse is