F(x) = 9x^3 + 2x^2 - 5x^3 - 7x + 4 and g(x) = 5x^3 - 7x + 4. what is f(x) - g(x)? show all of your steps and write your final answer in factored form.

Statement: if two distinct planes intersect, then their intersection is a line. which geometry term does the statement represent? defined term postulate theorem undefined term

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Achemist has 200 ml of a 10% sucrose solution. she adds x ml of a 40% sucrose solution. the percent concentration, y, of the final mixture is given by the rational function: the chemist needs the concentration of the final mixture to be 30%. how many milliliters of the 40% solution should she add to the 10% solution to get this concentration?