Answer following questions

1. You wish to purchase an item that retails for $375. You have a $25 off coupon and a 10% off discount. What is your nal sale price if you apply the coupon and then the discount at checkout? 2. A rock is dropped into a pond. What is the spread of the circular ripple after 25 seconds if the ripple travels outward at a speed of 20 cm/sec? 3. Shoe sizes are marked differently in many countries. In Japan, a shoe size is 16 more than the size in the United States. In Korea, a shoe size is 224 more than the size in Japan. Determine the function of the U.S. size of a shoe in terms of the shoe size in Korea. What is the U.S. shoe size of a shoe that is 250 in Korea? 4. What is the volume of a spherical balloon after 11 seconds if the radius of the balloon is increasing at 1.3 cm/sec? Round to the nearest tenth of a centimeter. 5. A manufacturer sells a lawn mower to a store at $75 over the manufacturing cost. The store then sells the lawn mower for 140% of the price paid to the manufacturer. Determine the function of the price of a lawn mower in terms of the cost to manufacture the mower. What price will a customer pay for this mower if the manufacturer's cost was $230? 2' The roots of a quadratic equation are 5 and 3 . If one of the two factors of the equation is x - 5 , which expression could be a second factor? 0213 4. For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Part A: Consider the polynomial f(x) = x - 6x2 + 3x + 10. The polynomial can be factored as f(x) = (x - 2) (x + 1) (x - 5). Find the x-intercepts of the function. Show your work. Part B: Find the y-intercept of the function. Show your work. Part C: Describe the end behavior of the function. Be sure to explain how you know