Aaron has $480 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $427.79.
He buys 2 bicycle reflectors for $10.31 each and a pair of bike gloves for $29.94.
He plans to spend some or all of the money he has left to buy new biking outfits for $47.45 each.

Which inequality can be used to determine o, the maximum number of outfits Aaron can purchase while staying within his budget?

A: 478.35+47.45o≤480
B: 478.35+47.45o≥480
C: 47.45+478.35o≤480
D: 47.45+478.35o≥480

Started: jun 20 at 10: 35pm quiz instructions question 3 y 2x+4 graph the system of linear inequalities 1 by < 2x-2 ty

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Describe the 2 algebraic methods you can use to find the zeros of the function f(t)=-16t^2+400.