Answer:
C. 1.8027
Step-by-step explanation:
The exponential population growth model is given by:
In which P(t) is the population after t years, 
is the initial population and r is the growth rate.
At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the population was 1.74 million people.
This means that 
Applying this to the equation, we find r. So
Applying ln to both sides
So
What would be the population of the city 5 years after the start of the population study?
This is P(5).
So the correct answer is:
C. 1.8027
Answer: neither
Explanation:
y=1/5+2/5x
y=-1/5-2/5x
For it to be perpendicular the slopes have to be opposite reciprocals and they are not. For it to be parallel the slopes have to be the same and they too are not.
Equations with absolute value:
Where k is a positive number; if k is a negative number, the equation is impossible (absolute value is always positive).
How to solve:
Then:
1. |x+7|=12
x+7=12 V -x-7=12
x=5 V -x=19
x=5 V x=-19
{-19, 5}
2. |2x+4|=8
2x+4=8 V -2x-4=8
2x=4 V -2x=12
x=2 V x=-6
3. 3|3k|=27
3×3k=27 V 3×(-3k)=27
9k=27 V -9k=27
k=3 V k=-3
{-3, 3}
4. 5|b+8|=30
5×(b+8)=30 V 5×(-b-8)=30
5b+40=30 V -5b-40=30
5b=-10 V -5b=70
b=-2 V b=-14
{-14, -2}
5. |m+9|=5
m+9=5 V -m-9=5
m+9=5 V m+9=-5
Answer:
$8 for 3 pounds
cost for p pounds: 3.50p - 2.50
Step-by-step explanation:
Cost of 3 pounds:
Original cost = Cost per pound x 3
= 3.50 x 3
= 10.50
Coupon = 2.50
Final cost = Original cost - Coupon
= 10.50 - 2.50
= $8
Cost of p pounds:
Original cost = Cost per pound x p
= 3.50 x p
= 3.50p
Coupon = 2.50
Final Cost = Original Cost - Coupon
= 3.50p - 2.50
f(x)=0
Domain are the set of x values
f(x)=0 , we find all the x values where y =0
At x intercepts y is always 0
so we find all the x intercepts.
x intercepts are the points where the graph crosses x axis
In the graph we can see that the graph crosses x axis at
-2.5 , -0.75 and 1
-2.5 , -0.75 and 1 are the domain where f(x)=0
