The average rate of change of a function, g(x), over an interval [a, b] is given by
Thus, the average rate of change of
over the interval
is given by:
![Average\ rate\ of\ change= \frac{[-(8)^2-4(8)]-[-(6)^2-4(6)]}{8-6} \\ \\ = \frac{(-64-32)-(-36-24)}{2} = \frac{-96-(-60)}{2} = \frac{-96+60}{2} = \frac{-36}{2} \\ \\ -18](https://tex.z-dn.net/?f=Average%5C%20rate%5C%20of%5C%20change%3D%20%5Cfrac%7B%5B-%288%29%5E2-4%288%29%5D-%5B-%286%29%5E2-4%286%29%5D%7D%7B8-6%7D%20%5C%5C%20%20%5C%5C%20%3D%20%5Cfrac%7B%28-64-32%29-%28-36-24%29%7D%7B2%7D%20%3D%20%5Cfrac%7B-96-%28-60%29%7D%7B2%7D%20%3D%20%5Cfrac%7B-96%2B60%7D%7B2%7D%20%3D%20%5Cfrac%7B-36%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20-18)
Quadrant for for number 5
Answer:
180 people ran on the treadmill at the gym last week.
<span>x + 2y = 2
-x + 3y = 13
As the x-terms of these equations are already opposites, you can begin to solve by elimination by adding the equations together.
</span> x + 2y = 2
-x + 3y = 13
+___________
0 + 5y = 15
y = 3
Now that you have y, substitute its value, 3, into either equation to find x.
x + 2y = 2
x + 2(3) = 2
x + 6 = 2
x = -4
Lastly, check all work by substituting both x- and y-values into both original equations.
x + 2y = 2
-4 + 2(3) = 2
-4 + 6 = 2
2 = 2
-x + 3y = 13
-(-4) + 3(3) = 13
4 + 3(3) = 13
4 + 9 = 13
13 = 13
Answer:
x = -4
y = 3
(-4, 3)
Answer:
she 30 songs 3 albums
Step-by-step explanation:
well you have to see how many songs or albums ahe can buy
