a right rectangular prism has a length of 6 cm, a width of 8 cm, and a height of 4 cm. the dimensions of the prism are halved. what is the volume of the reduced prism?

Mr. walker gave his class the function f(x) = (x + 3)(x + 5). four students made a claim about the function. each student’s claim is below. jeremiah: the y-intercept is at (15, 0). lindsay: the x-intercepts are at (–3, 0) and (5, 0). stephen: the vertex is at (–4, –1). alexis: the midpoint between the x-intercepts is at (4, 0). which student’s claim about the function is correct?

For which rational expression is -2 an excluded value of x?

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?