if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation

now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.
well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys
-4------------(-1)------------2
so the vertex is at x=-1, namely the axis of symmetry is x = -1.
Answer:
$2220
Step-by-step explanation:
Step one
Given data
Principal= $2000
rate= 1.1%= 0.011
time= 10 years
<u>Required</u>
<u>The final amount A</u>
Step two;
For simple interest, the final amount is given as
A=P(1+rt)
substitute
A=2000(1+0.011*10)
A=2000(1+0.11)
A=2000(1.11)
A=2220
$2220
Answer:

Step-by-step explanation:
Given


Required [Missing from the question]
G(T(x))
We have:

This implies that:

Substitute: 
![G(T(x)) = 3[9(x + 6.9)]](https://tex.z-dn.net/?f=G%28T%28x%29%29%20%3D%203%5B9%28x%20%2B%206.9%29%5D)
Open bracket

Answer:

Step-by-step explanation:
This shape is actually just a rectangle with a missing triangle. We can first find the area of the rectangle with
and subtract the triangle.
Area of missing triangle =
(b is the base and h is the height)
Base = 
Height = 
Area of missing triangle = 
Area of the figure: 
--------------------------------------------------------------------------
Alternatively, you can find the area of each individual shape and add them all up.
Area of the rectangle:
Area of square: 
Area of triangle: 
Total Area: 
Answer:
about 78 years
Step-by-step explanation:
Population
y =ab^t where a is the initial population and b is 1+the percent of increase
t is in years
y = 2000000(1+.04)^t
y = 2000000(1.04)^t
Food
y = a+bt where a is the initial population and b is constant increase
t is in years
b = .5 million = 500000
y = 4000000 +500000t
We need to set these equal and solve for t to determine when food shortage will occur
2000000(1.04)^t= 4000000 +500000t
Using graphing technology, (see attached graph The y axis is in millions of years), where these two lines intersect is the year where food shortages start.
t≈78 years