Find the vertex and state whether the function has a max or min value   f(x)=3x2−24x+5 (3x squared)

The graph to the right shows the number of students enrolled in schools for selected years from 2000 through 2008 for country A. The data shown can be modeled by the function f(x) = 15x+320, where f(x) represents the number of students enrolled in schools, in thousands, x years after 2000. Use this information to solve a and b. %3D

A house painter has found that the number of job 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 104.35 jobs j(x) = 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. Average Income per Job Year 2004 2005 2006 2007 2008 2009 2010 Income (dollars) 430 559 727 945 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 your calculator before reporting the answer with all numerical values rounded to three decimal places.) p(x) = dollars per job gives the average amount the painter was paid per job x years since 2004✓ ✔ . 0≤x≤6 (b) The equation for the painter's annual income is t(x) = [j(x)p(x) ✔ dollars. (c) Using the unrounded…

You have 600 yards of fencing to enclose a rectangular field. Express the area of the field, A, as a function of one of its dimensions, x.