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- Which of the following is the graph of f(x)=^3sqaure root of -5x in the image shown and what is domain and range of the equation shown in the pictureThe graph of y = f(x) is transformed by a horizontal expansion by a factor of 4 and a vertical expansion by a factor of 5. The equation of this new image has the form y = af(bx); find a and b. O a a = 5, 6 = }, 6 = | O a = b = 4 O a = O a = 5, b = 4Which of the following is the graph of f(x)= (x-2)^3 A,B,C,D, or E??
- Hey! I need help solving for xYou plan to make a box with a square base and lid, with the largest possible volume, and with surface area 140in^2 a) If the square base of the box is x inches wide, determine a formula for the function V (x) representing the volume of the box (in cubic inches). Your function should contain the variable x and cannot contain any other variables. b) Determine a domain for V(x) which makes sense in the context of the scenario. Briefly explain why you chose the domain you provided c) Determine the largest possible volume of such a box. You must use calculus to verify that the volume you find is the largest possible volume.At time t=0, in seconds, a pair of sunglasses is dropped from the Eiffel Tower in Paris. At time t, its height in feet above the ground is given by h(t)=-16t^2+900. a) What does the function tell us about the height from which the sunglasses were dropped? (including units) b)When do the sunglasses hit the ground? (including units)
- Sec6.4:#439. A basketball is thrown from a height of 4 feet so that its path is modeled by the function fx) = -0.03x² + 1.3x +4. If the exact same shot is taken from a balcony that is 12 feet above where the original shooter was standing, how far away will the ball hit the ground? What is the equation that models this shot? %3DA vehicle purchased for $25000 depreciates at a constant rate of 4%. Determine the approximate value of the vehicle 15 years after purchase. Round to the nearest whole number.