2. The second graph is simply 3 below the first in all places.
3. x = -2 (this is where the vertex is)
Answer:
Team's rowing speed in still water: 11.8 miles per hour.
Speed of the current: 3.4 miles per hour.
Step-by-step explanation:
Let r represent team's rowing speed in still water and speed of current be c.
Rowing speed with current would be
and rowing speed against current would be
.
We have been given that a rowing team rowed an average of 15.2 miles per hour with the current. We can represent this information in an equation as:
![r+c=15.2...(1)](https://tex.z-dn.net/?f=r%2Bc%3D15.2...%281%29)
We are also told that rowing team rowed an average of 8.4 miles per hour against the current. We can represent this information in an equation as:
![r-c=8.4...(2)](https://tex.z-dn.net/?f=r-c%3D8.4...%282%29)
Upon adding equation (1) and (2), we will get:
![r+r+c+(-c)=15.2+8.4](https://tex.z-dn.net/?f=r%2Br%2Bc%2B%28-c%29%3D15.2%2B8.4)
![r+r+c-c=15.2+8.4](https://tex.z-dn.net/?f=r%2Br%2Bc-c%3D15.2%2B8.4)
![2r=23.6](https://tex.z-dn.net/?f=2r%3D23.6)
![\frac{2r}{2}=\frac{23.6}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2r%7D%7B2%7D%3D%5Cfrac%7B23.6%7D%7B2%7D)
![r=11.8](https://tex.z-dn.net/?f=r%3D11.8)
Therefore, teams's rowing speed in still water was 11.8 miles per hour.
Upon substituting
in equation (1), we will get:
![11.8+c=15.2](https://tex.z-dn.net/?f=11.8%2Bc%3D15.2)
![11.8-11.8+c=15.2-11.8](https://tex.z-dn.net/?f=11.8-11.8%2Bc%3D15.2-11.8)
![c=3.4](https://tex.z-dn.net/?f=c%3D3.4)
Therefore, speed of the current was 3.4 miles per hour.
A. The center of dilation is (-2,-1) because you can draw a straight line from B to B’ as well as C to C’.
b. The scale factor is 1.5 because using the C and C’ length ratio, where 6:4 is 6/4 => 3/2 aka 1.5.
Answer = 955
At a constant rate of 3% year over year their would be 955 students after 6 years
The cost of old computer is $ 357
<em><u>Solution:</u></em>
Let "x" be the cost of old computer
From given,
Cost of new computer = $ 709
Blairs new computer cost 5$ less than twice the cost of her old computer
Therefore,
Cost of new computer = twice the cost of old computer - 5
Cost of new computer = 2x - 5
709 = 2x - 5
2x = 709 + 5
2x = 714
Divide both sides by 2
x = 357
Thus the cost of old computer is $ 357