Which input value produces the same output value for the two functions on the graph? x = −3 x = −2 x = −1 x = 3

x = -2

Step-by-step explanation:

The input values that provides the same output values for the two given given plotted on the graph above is the value of x of the point where the line of the two functions intersect each other. At that point, the input value (x value) and the output values (y value) for both functions are the same.

Thus, for f(x), when x = -2, y = 1.

For g(x), when x = -2, y = 1 also.

The input value, x = -2, will produce the same output values for f(x) and g(x).

x^2 + 5n = 4mx

=> x^2 - 4mx + 5n = 0

D=0 (since one root then roots are equal)

b^2-4ac = 0

(-4m)^2 - 4(1)(5n) = 0

16m^2 - 20n = 0

16m^2 = 20n

8m^2 = 10n

4m^2 = 5n

hope it helps