Choose all of the equations that are true.

x2 + 2x − 24 = (x + 6)(x − 4)
x2 − 8x + 15 = (x + 5)(x + 3)
3x2 + 4x + 1 = (3x + 1)(x + 1)
5x2 − 2x − 3 = (5x + 3)(x − 1)
4x2 − 49 = (2x − 7)(2x + 7)

Polygons efgh and e′f′g′h′ are shown on the coordinate grid: what set of transformations is performed on efgh to form e′f′g′h′? a. a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin b. a translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin c. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the right d. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Which expression is equivalent to -5(3x - 6/7)