Answer:
Step-wwwkwnwby-step explanation:
Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by

where
y is the population of rabbits
x is the number of years since 1991
a is the initial value
r is the rate of change
we have

substitute

For the year 1998
the number of years is equal to
x=1998-1991=7 years
so
we have the ordered pair (7,18,000)
substitute in the exponential equation and solve for r


elevated both sides to 1/7


therefore


Predict the population of rabbits in the year 2006
Find the value of x
x=2006-1991=15 years
substitute the value of x in the equation


Filling in the given values in point-slope equation
y = m(x -x₁) +y1
you have
y = 1(x -5) +3
This simplifies to ...
A. y = x - 2
Answer:
(14, -2)
Step-by-step explanation:
To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

Now we know what <em>x</em> equals. Let's substitute this into the second equation:

We can then simplify:
Given equation
Combine y terms
Add 2
Divide by -11
So, we now know the value of y = -2.
To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

Substitute for y
Distribute 8
Add 16
So, we now know the value of x = 14.
Therefore, we know a solution to the system of equations is (14, -2).
Answer: (x + 3)^2 + (y - 4)^2 = 49
Step-by-step explanation:
The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2
Given: center (-3,4) ; h = -3 and k = 4
diameter = 14
To find the radius: divide the diameter by 2 = 14/2 = 7 = r
Center: (-3,4) and radius: 7
Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2
Substitute h = -3, k = 4, r = 7
(x - (-3))^2 + (y - 4)^2 = 7^2
Answer:
Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49