Which system of equations could you use to determine where the paths intersect?
y=0 and y= -0.12(x-20)^2
y=0.8x and y= -0.12x^2+20
y=0.8x and y= -0.12(x-20)^2
y= 0.8x+8 and y = -0.12x^2+20

Question:

Which system of equations could you use to determine where the paths intersect?

y=0 and y= -0.12(x-20)^2

y=0.8x and y= -0.12x^2+20

y=0.8x and y= -0.12(x-20)^2

y= 0.8x+8 and y = -0.12x^2+20

B.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

jml angle lkj & angle mj = lm