The functions f(x) = –(x − 1)^2 + 5 and g(x) = (x + 2)^2 − 3 have been rewritten using the completing-the-square method. is the vertex for each function a minimum or a maximum? explain your reasoning for each function.

What is the pattern in the values as the exponents increase?

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?

The angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles