Abiologist is comparing the growth of a population of flies per week to the number of flies a lizard will consume per week. she has devised an equation to solve for which day(x) the lizard would be able to eat the entire population. the equation is 3^x=5x-1 explain the biologist how she can solve this on a graph using a system of equation

Segment ab is shown on the graph. which shows how to find the x-coordinate of the point that will divide ab into a 2: 3 ratio using the formula

In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ? x - 36

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?