Answer:
The points (2,0), (4,0), and (0,0) are on the line which is parallel to the x-axis.
Step-by-step explanation:
If a line is parallel to the x-axis then, the x-coordinate changes but the y-coordinate remain constant.
Now, in the points (2,0), (4,0), and (0,0) the y-coordinate remains the same but is equal to 0.
Since x-axis itself is a parallel to the x-axis with distance fro the x-axis equal to zero.
Therefore, the points (2,0), (4,0), and (0,0) are on the line which is parallel to the x-axis. (Answer)
Answer:
The rate at which the total personal income was rising in the Richmond-Petersburg area in 1999 is $1.627 billion per year
Step-by-step explanation:
Let 
be the number of years after 1999.
From the information given:
- In 1999, the population in this area was 961400, and the population was increasing at roughly 9200 people per year.
- The average annual income was 30593 dollars per capita, and this average was increasing at about 1400 dollars per year.
The population growth can be modeled with a linear equation. The initial population was 
is 961400 and it grows by 9200 people per year.
The population in time t can be written
The average annual income can be modeled with a linear equation. The initial average annual income was 30593 dollars per capita and it grows by 1400 dollars per year.
If we multiply both together gives the total personal income at time t.
The rate at which the total personal income was rising in the Richmond-Petersburg area is the derivative 
We need to use the Product Rule that says
If f and g are both differentiable, then:
![\frac{d}{dx}[f(x)g(x)]=f(x)\frac{d}{dx}[g(x)] +g(x)\frac{d}{dx}[f(x)]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29g%28x%29%5D%3Df%28x%29%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28x%29%5D%20%2Bg%28x%29%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%5D)
Applying the Product Rule
![\frac{d}{dt}T(t)=\frac{d}{dt} [(9200t+961400)\cdot (1400t+30593)]\\\\T(t)'=\frac{d}{dt}\left(9200t+961400\right)\left(1400t+30593\right)+\frac{d}{dt}\left(1400t+30593\right)\left(9200t+961400\right)\\\\T(t)'=9200\left(1400t+30593\right)+1400\left(9200t+961400\right)\\\\T(t)'=12880000t+281455600+12880000t+1345960000\\\\T(t)'=25760000t+1627415600](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7DT%28t%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%20%5B%289200t%2B961400%29%5Ccdot%20%281400t%2B30593%29%5D%5C%5C%5C%5CT%28t%29%27%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%289200t%2B961400%5Cright%29%5Cleft%281400t%2B30593%5Cright%29%2B%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%281400t%2B30593%5Cright%29%5Cleft%289200t%2B961400%5Cright%29%5C%5C%5C%5CT%28t%29%27%3D9200%5Cleft%281400t%2B30593%5Cright%29%2B1400%5Cleft%289200t%2B961400%5Cright%29%5C%5C%5C%5CT%28t%29%27%3D12880000t%2B281455600%2B12880000t%2B1345960000%5C%5C%5C%5CT%28t%29%27%3D25760000t%2B1627415600)
For 1999, t = 0.
The raising is
The rate at which the total personal income was rising in the Richmond-Petersburg area in 1999 is $1.627 billion per year.
Answer:
4(8+n)
(n×8) + (n×4)
8(n+4)
(n×8) + (n²)
Step-by-step explanation:
just very basically calculate or transform the expressions. pay attention to what is a multiplication, and what is an addition (sometimes the brackets try to suggest something else than what is actually there).
Answer:
James town is 5 meters higher than Takoradi
.
Step-by-step explanation:
Given:
Height of James town = 2 meters below sea level
Height of Takoradi town = 7 meters below sea level
To find:
How much higher is James town that Takoradi = ?
Solution:
As we can see the standard of height is how much the town is below the sea level.
So, the height of town having lesser value will be at a higher level.
Value of Height of James town is lesser than that of Takoradi town.
Therefore, James town is at a higher level.
Difference of height = 7 meters - 2 meters = 5 meters
So, the answer is:
James town is 5 meters higher than Takoradi.
