In the function f(x) = 5(x2 − 4x + + 15, what number belongs in the blank to complete the square?

If x=-3 is the only x-intercept of the graph of a quadratic equation, which statement best discribes the discriminant of the equation?

Oscar and julie ashton are celebrating their 15th anniversary by having a reception hall. they have budgeted $4,500 for their reception. if the reception hall charges a $90 cleanup fee plus & 36 per person, find the greatest number of people that they may invite and still stay within their budget.

How many sides does a regular polygon have if each exterior angle measure is 45 degrees explain your answer, i really don't understand this.