Consider this sequence of transformations performed on shape I: a dilation by a scale factor of 2, followed by a reflection across the x-axis, and then a translation left 1 unit. Does the sequence prove that shapes I and IV are similar? Explain your answer.

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?

2. explain in words how you plot the point (4, −2) in a rectangular coordinate system.

Which statement is true about a number and its additive inverse? a. their product is always one. b. their sum is always one. c. they are always reciprocals of each other. d. their sum is always zero.