What two numbers multiply to get 36 add to -15

The answer would be -12 and -3. -12x-3=36 and -12+-3=-15.  Think through simple multiplication first. I hope this helps. :)

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.

where's the diagram?

step-by-step explanation: