Answer:
is your average rate of change,
Step-by-step explanation:
average rate of change is
, by slope formula
simplify this to get 
, which is the definition of the derivative as h goes to 0
since you defined x=a, we can substitute a for x and vice versa to find our derivative.
simplifying
(your average rate of change)
Answer:
20
Step-by-step explanation:
P/5 + 6 = 10
P/5 = 10 - 6
P/5 = 4
(cross multiply)
P = 5 × 4
P = 20
⇒I will first isolate y together with its coefficient k by placing 
to the right hand side...
⇒Now to leave y independent we have to divide ky by the coefficient of y which in this case is k.
⇒Meaning k will divide all the terms in the equation.
⇒Attached is the answer.
Answer:
y = -1x + 3 or y = -x + 3 (**That is the last option which is D**)
Step-by-step explanation:
You need to do slope-intercept formula and the slope formula.
The Slope-Intercept Formula: y=mx+b
The Slope Formula: y2 - y1 / x2-x1
Your coordinates:
(-1,4) and (1,2)
2 - 4/1- (-1)
-2/2
Simplified is -1
Your "m" in the slope-intercept formula is -1
Formula: y=-1x + b
Now, you need to find the Y-Intercept which is the "b"
Using our slope-intercept formula, you need to plug in "x1" and "y1"
4 = -1(-1) + b
4 = 1 +b
4-1 = b
3 = b
So your equation is:
y = -1x + 3 or y = -x + 3
