Apoint t on a segment with endpoints d (1, 4) and f (7, 1) partitions the segment in a 3: 1 ratio. find t. you must show all work to receive credit.

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Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 − 12x − 2 a) maximum value at 38 b) minimum value at 38 c) maximum value at −38 d) minimum value at −38

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?

How many kilograms of a 5% salt solution and how many kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution?