Electricity Consumption The table below gives the retail sale of electricity (in billions of kilowatt-hours) for the residential and commercial sectors of the United States. Residential (billions of kilowatt-hours) Year 2000 2003 2006 2009 2012 2015 1,192 1,276 1,400 1,420 1,402 1,390 Let a represent time (in years) with x = 0 corresponding to 2000, and let y represent the corresponding residential sales. Find the quadratic regression equation for the data y = R(x) = ax²+bx+c with a rounded to the nearest hundredth (2 decimal places), b rounded to the nearest tenth (1 decimal place), and c rounded to the nearest integer. (See the Regression page in the Getting Started module for ways of computing a regression model.)

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.)

Write the equation of the quadratic function whose graph is shown. Ay 10 8 (3,6 + 08842b (5, 2) 810 X E ○ A. y=-(x-3)²+6 ○ B. y = (x-3)²+6 y= ○ C. y=-(x+3)²+6 OD. y= -2(x-3)²+6

Suppose that a baseball is thrown upward with an initial velocity of 44 feet per second (30 miles per hour) and it is released 6 feet above the ground. Its height h after t seconds is given by h = - 16t² +44t+ 6. After how many seconds does the baseball reach a maximum height? Estimate this height. The baseball reaches the maximum height after approximately (Round to the nearest integer as needed.) The estimated maximum height is ft. (Round to the nearest integer as needed.) sec from the time its being thrown upward.

A quadratic function models a projectile's height, in meters, above the ground in terms of the time, in seconds, after it was launched. The model estimates that the projectile was launched from an initial height of 7 meters above the ground and reached a maximum height of 51.1 meters above the ground 3 seconds after the launch. How many seconds after the launch does the model estimate that the projectile will return to a height of 7 meters? A. 3 B. 6 C. 7 D. 9

brett expects that each guest 0.2 of a sandwich. sketch a model to show how many sandwiches brett expects the guests to eat in all.

Find a quadratic function whose graph passes through the following points: (0, 0), (1, 1), (9, -23). If there is no solution, enter NO SOLUTION.

X 10. Write the equation of the quadratic graphed below -10- 5 10 -10 (0,5) -2,3) 0 -5 --10- (16) 5 Sile

The table below shows data on the number of employees that a small company had from 1975 to 2000. Year 1975 1980 1985 1990 1995 2000 # of 50 65 70 60 55 44 Employees Let 0 represent the year 1975. Find a quadratic model for this function. .2 y = ax + bx + c Using the above equation, fill in the coefficients for a, b, and c rounding all decimals to the hundredths place.

A football is passed through the air until it hits the ground. The height h of the ball(in feet) at any given time t is modeled the quadratic equation h = - + 12t + 6. What will the height of the ball be after 5 seconds in the air? 41 feet 52 feet 26 feet O 31 feet %23 2 30°F Partly sunny o search Insert Del F12 Prt Sc F10 F11 F9 F7 F8 F6 F5 Backspace %23 6 3 4 CO