If g^2 -g-6 =0 and g< 0 what is the value of -3g

Step-by-step explanation:

g^2 - g - 6 = 0 can be factored as such:

g^2 + 2g - 3g - 6 = 0

g(g + 2) - 3(g + 2) = 0

(g - 3) (g + 2) = 0

g = 3, -2

Because g must be less than 0, 3, a positive number greater than 0, cannot be used to solve "-3g". So instead we use the other solution, -2:

-3(-2) = 6, the value of -3g.

Check:

(-2)^2 - (-2) - 6 = 0

(-2)^2 - (-2) = 6

4 - (-2) = 6

4 + 2 = 6

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)