How many integers between 0 and 4n (inclusive) must you pick in order to be certain

that at least one of them is odd?

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.

Leila is buying a dinosaur model. the price of the model is xxx dollars, and she also has to pay a 7\%7%7, percent tax.

Ahyperbola centered at the origin has a vertex at (-6,0) and a focus at (10,0). what are the directrices?