Determine the value(s) of k such that the system of linear equations has the indicated number of solutions. (enter your answers as a comma-separated list.) an infinite number of solutions

9x + ky = 24
kx + y = 8

k=3

Step-by-step explanation:

The given system of equations are

We need to find the value of k if the given system of equation have infinite number of solutions.

If two equations and have infinite number of solutions, then

Using this we get

Therefore, the value of k is 3.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

attachment?

step-by-step explanation: