Complete the square of the quadratic function f(x) = 3x² - 18x + 26.

The table gives methane gas emissions in millions of metric tons. The quadratic model y = 0.0429x² - 9.73x + 706 approximates the emissions for these years. In the model, x represents the number of years since 2008, so x = 0 represents 2008, x = 1 represents 2009, and so on. Complete parts a and b. Year 2008 2009 2010 2011 2012 Millions of Metric Tons of Methane 706.0 696.3 686.7 677.2 667.8 a. According to the model, what would emissions be in 2014? According to the model, in 2014 the emissions would be 649.2 million metric tons. (Round to the nearest tenth as needed.) b. Find the nearest year beyond 2008 for which this model predicts that emissions will reach 500 million metric tons. The nearest year beyond 2008 for which the model predicts that the emissions will reach 500 million metric tons is (Round down to the nearest year.)

Find the zeros of the quadratic function: f (x) = x + 10x + 24 %3D X = 8 x= 3 x= 4 x = 6 X = -8 x = -3 what is that sou.doCK vet is thak SOMdecx

A rancher is going to fence three sides of a corral next to a river. He needs to maximize the corral area using 240 feet of fencing. The quadratic equation A(x) = x(240 - 2x) gives the area of the corral, A, for the length, of the corral along the river. Find the length of the corral along the river that will give the maximum area, and then find the maximum area of the corral.

To complete the square of x2 + bx, use which of the following?(a) (2b) 2 (b) 2b2 (c) (1/2b)2  (d) 1/2b2

The length of a rectangular garden is three times the width of the garden.  The area of the garden is given by the  quadratic function A=3w2A=3w2    where w is the width of the garden measured in feet. If the area of the garden is 75 square feet, what is the width of the garden? Show all work to receive credit.