Three points are connected by two cubic functions as shown above. Only the function of the first cubic is known. What is the value of the coefficient a20 for the second cubic?

d. A can has a surface area of 1187 square inches. Its height is 5.66 inches. What is the radius of the circular top? 3. Solve each problem. Verify your result using a graphing calculator. a. A ball is thrown upward from ground level with an initial velocity of 108 feet per second. Its height h in feet after t seconds is given by the equation h = -16t² + 108t. At what time will the ball hit the ground?

please solve

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.

Suppose an architect is designing a pagoda that will sit on a 8 foot by 8 foot square base centered on the origin. The ceiling of the pagoda has equation z 32-x² - y². where distances are in feet. What is the average height of the ceiling? =