Question: Hello! I am a busy student and really need help with my calculus test I know nothing and would like assistance as soon as possible.

Hello! I am a busy student and really need help with my calculus test

I know nothing and would like assistance as soon as possible.

This is my quiz

Hello! I am a busy student and really need help with my

10131833: 8 MATH 115 Quiz 1 Spring 2022 1) Graph the equation given: y = 5/3 x - 4 2) Use the graph to determine the function's domain and range. Determine the intervals on which the function is increasing, decreasing, and constant. Given functions f and g, perform the indicated operations. 3) f(x) = 2x 9, g(x) = 5x + 3 Find f+ g. 4) f(x) : 5 - 11x, g(x) = -3x -5 Find f g. 5) f(x) = 2x + 12, g(x) = -2x - 6 Find g. 6) The function f(t) : 0.15t2 + 0.53t + 30.4 models the U.S. population in millions, ages 65 and older, where t represents years after 1990. The function g(t) = 0.56tZ + 12.6t + 105.6 models the tow] yearly cost of Medicare in billions of dollars, where t represents years after 1990. Find (g/l)(12). 7) A rm is considering a new product. The accounting department estimates that the total cost, C(x), of producing x units will be C(x) = 60x + 7870. The sales department estimates that the revenue, R(x), from selling x units will be R(x) = 70x, but that no more than 955 units can be sold at that price. Find and interpret (R - C)( 850). 8) Find the distance and midpoint between the pair of points ( -6, l) and (10, 8) 9) The figure shows a rectangle with two vertices on a semicircle of radius 5 and two vertices on the x-axis. Let P(x, y) be the vertex that lies in the first quadrant. Express the perimeter of the rectangle, P, as a function of x. (bonus) 10) Two apartment tenants have a total of 600 feet of fencing to enclose a rectangular garden and subdivide into two smaller gardens, one for each of them, by placing the fencing parallel to one of the sides. Express the area of the entire garden, A, as a function ofx. (bonus) 1 X t l 1 Y Y

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