Two numbers have a sum of 9 when added together. the same two numbers have a product of 20 when multiplied together. complete the table and write a system of equations to represent the two numbers.

Step-by-step explanation:

If we call one number and the other , we have the equations:

(the sum of the numbers is 9)

(the product of the numbers is 20)

This would be the system of equations corresponding to the situation described.

the solutions to the system are

and

because

(these values can also be found by clearing a variable from the first equation and substituting in the second one)

  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).

it is b)

hope this : )

step-by-step explanation: