PLEASE HELP. WILL GIVE BRAINLIEST Explain what optimization and linear programming problems entail. How do you solve them? What are some of the ways these problems can be made easier? How are these problems beneficial? What types of jobs would use the reasoning involved in these kinds of problems?

Write the inverse of the logarithmic function used to represent the situation in model 1, f(x)=3+2in x . express the answer in radical form.

If f(x)=x^3 and g(x)=2x+7 when g(x)=-5

Lance lived in portugal and brazil for a total of 14 months to learn portuguese. he learned an average of 130 new words per month when he lived in portugal, and an average of 150 new words per month when he lived in brazil. in total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil