Determine the vertex of the function f(x) = 3(x − 2)2 + 1.

Two sides of a triangle mesure 20cm and 30cm. what is the measure of the third side

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 ratio of men to women working for a company is 4 to 5 . if there are 90 women working for the company, what is the total number of employees?