Answer:
Function 1:
The starting point is (0,0.5)
As x increases, y increases
Function 2:
The starting point is (0,3)
As x increases, y decreases
Step-by-step explanation:
In order to find the starting point, we need to plug in x=0.
As we plug in increasing numbers into function#1, the y-value increases
As we plug in increasing numbers into function #2, the y-value is decreasing
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
Answer:
The lenghts of both legs: 
Step-by-step explanation:
By definition, when a triangle has angles that measures 45°, 45° and 90°, its legs are congruent.
Then, knowing the lenght of the hypotenuse, we can find the lenght (in inches) of any leg of the given triangle by applying the Trigonometric Identity 
:
Finally, simplifying, we get:
Answer:
C.
Step-by-step explanation:
