Answer:
Plot and connect (5,4), (3,0) and (7,0).
Step-by-step explanation:
This is in factored form and can be graphed directly from the equation. The equation shows the x-intercepts.
The x-intercepts are found by solving for x using the zero product rule.
(x-3)=0 so x = 3
(x-7) = 0 so x = 7
The intercepts are (3,0) and (7,0). Plot the points. The vertex will occur halfway between these points. 7-3 / 2 = 4/2 = 2. This means the axis of symmetry is at x = 5 and this is the x-coordinate of the vertex too.
Substitute x = 5 into the equation and solve for y.
-(5-3)(5-7) = -(2)(-2) = 4
The vertex is (5,4). Plot it and connect the points.
If you are looking for the equation, then it would be y = -x+3
This is the same as y = -1x+3 which is in slope intercept form y = mx+b
m = -1 = slope
b = 3 = y intercept
If you want to graph this, then plot the points (0,3) and (1,2). Then draw a straight line through them both. Extend the line in both directions as much as possible.
You can draw a line to make a square and a rectangle to help find the area. The other method would be to form 2 squares and 1 rectangle.
This is probably wrong but I hope it helps!
SOLUTION
We have been given the equation of the decay as
So we are looking for the time
Plugging the values into the equation, we have
Taking Ln of both sides, we have
Hence the answer is 4308 to the nearest year
