#1
4x-6y=12
subtract 4x to both sides
-6y= -4x+12
divide everthing by -6
y= 4/6x-2
y= 2/3x-2
#2
-2x+3y=-6
3y= 2x-6
y= 2/3x-2
<h3><u>
Answer:</u></h3>
The function N(t) is given as:

<h3><u>
Step-by-step explanation:</u></h3>
Jenny studied the characteristics of two species of bacteria.
The number of bacteria of species A, A(t), after t hours is represented by the function:

The number of bacteria of species B, B(t), after t hours is represented by the function:

N(t) denotes the difference in the number of bacteria; hence N(t) is given by after t hours as:
N(t)=A(t)-B(t)

which on simplifying gives:

Hence,
For this case we have the following equation:
f (x) = x ^ 2 + bx-49
Deriving we have:
f '(x) = 2x + b
We match zero:
0 = 2x + b
We clear x:
x = -b / 2
The axis of symmetry is at x = 8, therefore:
x = -b / 2 = 8
Clearing b:
b = -2 * (8)
b = -16
Answer:
the value of b is:
b = -16
there is no graph here to answer this