The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company:

Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)

Part C: Describe the constraints of the domain. (3 points)

lolololkzaxio2ier286udeg

no because mercury has a density of 13.6 grams per centimeter squared while gold has 19.32 grams centimeter squared

step-by-step explanation:

because this is a right triangle, the rules of right-angle trigonometry apply here, namely

for an angle θ in a right-angle triangle.

clearly, it is the case that

sin(30°) = y / (34 √ 3) because opposite to 30 degrees is y and the hypotenuse is always opposite to the 90 degree angle.

solving for y, we get y = 34√3 * sin(30°). if you use a calculator or other knowledge, you find that sin(30°) = 1/2 so we get y = 34√3 * 1/2 = 17√3.

it is also the case that

cos(30°) = x / (34 √ 3), giving us x = 34√3 * cos(30°). using calculator or other methods, we find that cos(30°) = √3 / 2 so x = 34√3 * √3 / 2   = 34 * 3 / 2 = 17 * 3 = 51.

x = 51, y = 17√3.