Step-by-step explanation:
by having two equations that have the same point, you can set the two equations equal to each other
y = 12x + 3, y = x + 1
12x + 3 = x + 1
11x = -2
x = -2/11
when you find the the x value, plug it back into either one of the equations
y = x + 1
y = (-2/11) + 1
y = 11/11 - 2/11
y = 9/11
the point (solution):
(-2/11, 9/11)
Answer:
2 bears in 2020.
Step-by-step explanation:
We have been given that a new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.
We will use exponential decay formula to solve our given problem as:
, where,
y = Final quantity,
a = Initial value,
r = Decay rate in decimal form,
x = Time
Upon substituting our given values in above formula, we will get:

, where x corresponds to year 2000.
To find the population in 2020, we will substitute
in our equation as:



Therefore, 2 bears are there predicted to be in 2020.
Since population is decreasing so population is best described as exponential decay.
Answer:
The answer is 18
Step-by-step explanation:
If you add 15 to 3 then you get 18
Hope this helps!!! :)
Answer: A. 76 sq. units
Step-by-step explanation:
1. You can use the following formula for calcualte the area of the parallelogram:

Where
is the base and
is the height of the parallelogram
and
2. The formula for calculate the area of a rectangle is:

Where
is the base and
is the height of the rectanngle.
and
3. Then, the area of the figure is the sum of the area of the parallelogram and the area of the rectangle:

The third one: No, yes, no