Solve the right triangle. 150 750 Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.) X Find the length of the hypotenuse. (Round your answer to two decimal places.) X Find the other acute angle. X of(xth)-f(x) Find the difference quotient where h #0, for the function below. h f(x) =5x-+2x Simplify your answer as much as possible. f ( x + h ) - f(x) = h X 5Phyllis invested $9,000, a portion earning a simpie interest rate of 5 114 % per year and the rest earning a rate of 5% per year. After one year the total interest earned on these investments was $467.50. How much money did she invest at each rate? (10 points) You should be able to answer these questions without using a calculator. Use the basic definitions of logarithms and exponentials. If you see a base 3 logarithm, for example, compute the first few powers of 3, and see how they relate to the number of which you are taking the logarithm. Evaluate the following expressions. (a) 10g2 (116) = (b) log 1 = (0)10g5 m = (d) 41% '4 = Find a polynomial function with the given real zeros whose graph contains the given point. Zeros: - 1, 0, 1, 2 Degree: 4 Point: -15 f(x) = (Type your answer in factored form. Use integers or fractions for any numbers in the expression.)Refer to the figure below. G 1 . H Select the points that lie in Quadrant I. (Select all that apply.) A OD DE OF DG OH Select the points that lie in Quadrant III. (Select all that apply.) A DE OF GFind all angles # between 0" and 180" satisfying the given equation. Round your answer to one decimal place. (Enter your ariswers as a comma separated list.) sin(8) .Shown below is the graph of the function y = f(x). Sketch the graph of the function: 1 y=5f( x - 1) on the same set of axes. 2 -2 0 2