The polynomial −3x2 + 300x represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by −1.5x2 + 100x. If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $550,000 in tax revenue in 2011, what was the budget surplus that year? 1) The surplus increased by (answer)
2) Alphaville's budget surplus was $(answer) thousand, or $ (answer) million.

What number should be added to both sides of the equation to complete this square? x^2-10x=7

The avenues in a particular city run north to south and are numbered consecutively with 1st avenue at the western border of the city. the streets in the city run east to west and are numbered consecutively with 1st street at the southern border of the city. for a festival, the city is not allowing cars to park in a rectangular region bordered by 5th avenue to the west. 9th avenue to the east, 4th street to the south, and 6th street to the north. if x is the avenue number and yis the street number, which of the following systems describes the region in which cars are not allowed to park? 5th ave 9th ave

The rectangle shown has a perimeter of 108 cm and the given area. its length is 6 more than five times its width. write and solve a system of equations to find the dimensions of the rectangle.