Danielle is considering investing money into a portfolio of stocks. Her plan is to invest no more than $2,000 total in stocks, with at least four times as much money invested in technology company stocks than food company stocks. Using T for the amount of invested in technology stocks and F for the amount of money invested in food company stocks, write an inequality representing the total stock investment constraint for this situation.

Muscles, a membership-only gym is hoping to open a new branch in a small city in pennsylvania that currently has no fitness centers. according to their research approximately 12,600 residents live within driving distance of the gym. muscles sends out surveys to a sample of 300 randomly selected residents in this area (all of who respond) and finds that 40 residents say they would visit a gym if one was located in their area. based on the past survey research, muscles estimates that approximately 30% of these respondents would actually join the gym if they opened one in the area. based on this information and the results of the sample survey, about how many residents should muscles expect to join its new branch? a) 134 b) 504 c) 1,680 d) 3,780

Use the quadratic formula to solve 5x=6x^2-3,what are the values of x?

What is the y intercept of f(x)=(1/2)^x?