Answer:
<h2>

</h2>
Step-by-step explanation:
g(x) = x² - 2x - 6
h(x) = 2x² - 5x + 2
To find (h-g) (-2) we must first find h - g(x)
To find h - g(x) subtract g(x) from h(x)
We have
<h3>

</h3><h3>

</h3>
To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2
That's
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you
Answer:
A = 4; B = -1 ; C = -29
Step-by-step explanation:
y = 4(x + 6) + 5
y = 4x + 24 +5
y = 4x + 29
Standard form: Ax + By = C
4x - y = -29
METHOD 1
f(3) = 20
f(4) = 30
f(5) = 42
f(6) = 56
rate of change
f(4)-f(3)=10
f(5)-f(4)=12
f(6)-f(5)=14
then the average of change is 10+12+14 /3 = 12
METHOD 2 --- faster
rate of change = f(6)-f(3) / 6-3
= (36+18+2)-(9+9+2) / 3
= 36/3 = 12