Genghis motors wants to build cars and motorbikes on a budget. the company plans to spend at most $75000 and use at least 320 workers to build cars and motorbikes. 8000c+5500m≤75000 represents the number of cars c and motorbikes m the company can build by spending at most $75000. 52c+38m≥320 represents the number of cars and motorbikes the company can build by using at least 320 workers. can the company meet both of its expectations by building 4 cars and 6 motorbikes?

Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. the punch has 2 liters of ginger ale. part a: write an equation using one variable that can be used to find the total number of liters of cranberry juice and ginger ale in the punch. define the variable used in the equation and solve the equation. hint: 0.8x represents the number of liters of cranberry juice in the punch. (5 points) part b: how many liters of cranberry juice are present in the punch? show your work.

The graph of f(x), shown below, resembles the graph of g(x) = x2, but it has been changed somewhat. which of the following could be the equation of f(x)?

Solve each quadratic equation by factoring and using the zero product property. x^2 + 18x = 9x