First we distribute

into

and

.


That makes the left side of the equation

Now we subtract

from

, which makes

Now the equation is

Our goal is to isolate

, so we both sides by 30
That will make the equation

We multiply -1 on both sides of the equation:

Finally we simplify

, which makes
So the answer is
Answer:
4th option - over the interval (4,7) the local minimum is -7
Step-by-step explanation:
There's only one local minimum in this graph and it's the one between (4,7), so this is the only plausible answer.
3 and 4/8 for question number one
The formula is y-y0=m(x-x0)
So we plug in the Y's and the X's given:
-5-9=m(0-(-3)) >>>> -14=m(3)>>>>> m=-14/3
The next formula is y=mx+b , choose any point to use for X and Y: I'm gonna choose (0,-5)
-5=-14/3(0)+b >>> b=-5
Your formula is: y=-14/3x-5
Answered in my other reply :)