What are the solutions to the system of equations? y=−x2−5x −6x+y=−3

Step-by-step explanation:

y = -x² - 5x

-6x + y = -3            

Use substitution method:

-6x + (-x² - 5x) = -3      substituted "y" with "-x² - 5x"

-x² -11x = -3                 simplified left side (added like terms)

-x² - 11x + 3 = 0            added 3 to both sides

Solve using quadratic formula:

a = -1, b = -11, c = 3

  and    

Next, solve for "y" by plugging the x-values above into the equation: y = -x² - 5x

and

  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).

you forgot an image

step-by-step explanation: