Use substitution to solve the system equation.

n=3m-11

2m+3n=0

m = 3, n = -2.

Step-by-step explanation:

Substitute n = 3m - 11 in the second equation:

2m + 3(3m - 11) = 0

2m + 9m - 33 = 0

11m = 33

m = 3.

Substitute for m in n = 3m-11:

n = 3(3) - 11

n = -2.

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.