Answer:
k = 0.5
Step-by-step explanation:
Answer:
To find the point of intersection, just solve for x and y in the equations
so since x - y = -5
x = y - 5
now that we have a value of x, we will substitute x with in in the other equation
<em>5x + 3y = -9</em>
<em>5(y-5) + 3y = -9</em>
<em>5y - 25 + 3y = -9</em>
<em>8y = 16 </em>
y = 2
now use this value of y in the equation we made for x
<em>x = y - 5</em>
<em>x = 2 - 5</em>
x = -3
Hence, the point of contact is (-3 , 2)
Answer:
10.8239 approximately 10.82 (in 2 decimal places)
Step-by-step explanation:
the steps are shown in the picture attached :))
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


The standard method is correct but it shows 53 instead of 5.3
so it is False. Hope it helps