Arrange the parabolas represented by the equations in order of the positions of their directives on the coordinate plane, starting with the
lowest and ending with the highest
y=x^2/8+ 3x/4+41/8
y=x^2/20+2x/5+29/5
y=-x^2/52-4x/13-146/13
y = -x^2/16+3x/4-21/4
y=-x^2/8-x/2-1/2
y=-x^2/32-x/16-289/32
y=-x^2/12-7x/2-109/12 y=x^2/28-5x/14+333/28

Part of the total score for each program is the sum of five program component scores. on the free program, the sum of these five program component scores is multiplied by a factor of 2.0. yuzuru hanyu, of japan, earned scores of 9.07, 8.96, 8.89, 9.21, and 9.36 for the program components portion of his free program. how many total points did he receive for this portion?

For what value of x does 4x = (1/8) x + 5?

Estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles. answer to the nearest integer.