1. The paths of two dolphins playing in the ocean were recorded by some biologists. The first dolphin's path could be modelled by the equation h(t) = 2t4 - 17t³+27t² - 252t +232 and the second dolphin's path could be modelled by the equation h(t) = 20t3-20² +300t - 200. When was the first dolphin higher than the second dolphin?

What is the solution of x2+5x-3=0?

For a certain company, the cost for producing a items is 40x + 300 and the revenue for selling x items is 80x – 0.5x². The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values of that will create a profit of $50. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va , type sqrt(a).

9.) solve In (3x-13)-8= 3 %3D