Chapter 1.3, Problem 53E

Write the quadratic function in f(x)=a(xh)2+k form whose graph is shown.

To put the quadratic function f(x)=ax2+bx+c in standard form, we complete the ________________.

Graph the quadratic function f(x)=2x24x3 first using the properties as we did in the last section and then graph it using transformations. Which method do you prefer? Why

Graph f(x)=x2+2x8 by using its properties.

A house painter has found that the number of jobs that he has each year is decreasing with respect to the number of years he has been in business. The number of jobs he has each year can be modeled as 104.95 X where x is the number of years since 2004. The painter has kept records of the average amount he was paid for each job. His income per job is presented in the table. j(x) = - jobs Average Income per Job Year 2004 2005 2006 2007 2008 2009 2010 Income (dollars) 430 ---Select--- 559 727 945 1228 1597 2075 (a) Fill in the blanks to complete an exponential model for average income per job, p, with input x aligned to years since 2004. (Remember to paste the unrounded function model into you calculator before reporting the answer with all numerical values rounded to three decimal places.) p(x) ✓gives the average amount the painter was paid per job |---Select--- 0≤x≤6 (b) The equation for the painter's annual income is t(x) = ---Select--- dollars. (c) Using the unrounded models above,…

In a 6 acre apple orchard, it is decided to plant 20 or more trees per acre. If 20 trees are planted per acre then each mature tree will yield 700 apples per year. For each additional tree planted per acre, the number of apples produced by each tree decreases by 12 per year. Express the total number of apples A produced per year in terms of the number n of trees per acre. A(n)= |

An analyst who works for an appliance manufacturer finds that if the firm produced x waffle makers per year, the total profit in dollars is given by the function P(x) = 8x+0.3x^2-0.0013x^3-372, what is the largest possible profit the manufacturer could have? Round answer to two decimal places) a. $166.19 b. $25.23 c. $3276.23 d. None of these

Use a calculator with a yx key or a Λ key to solve: The 1986 explosion at the Chernobyl nuclear power plant in the former Soviet Union sent about 1000 kilograms of radioactive cesium-137 into the atmosphere. The function f(x) = 1000(0.5) x /30 describes the amount, f(x), in kilograms, of cesium-137 remaining in Chernobyl x years after 1986. If even 100 kilograms of cesium-137 remain in Chernobyl’s atmosphere, the area is considered unsafe for human habitation. Find f(80) and determine if Chernobyl will be safe for human habitation by 2066.