-4x+y= -9 can be turned into
y= -9 + 4x
5x+2y=3 (plug y in)
5x+2(-9+4x)=3
5x-18+8x=3
5x+8x=3+18
13x=21
divide 13 on both sides
x=1.6
Answer:
13800
Step-by-step explanation:
The order of the members is important (because each selected member will receive a different position), thus we then need to use the definition of permutation.
There are 25 members, of which 3 are selected.
![\begin{array}{l}n=25 \\r=3\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7Dn%3D25%20%5C%5Cr%3D3%5C%5Cend%7Barray%7D)
Evaluate the definition of a combination:
![P(25,3)=\frac{25 !}{(25-3) !}=\frac{25 !}{22 !}=25 \cdot 24 \cdot 23=13800](https://tex.z-dn.net/?f=P%2825%2C3%29%3D%5Cfrac%7B25%20%21%7D%7B%2825-3%29%20%21%7D%3D%5Cfrac%7B25%20%21%7D%7B22%20%21%7D%3D25%20%5Ccdot%2024%20%5Ccdot%2023%3D13800)
Answer:
38 mpg
Step-by-step explanation:
Initial efficiency = 39 mpg
Initial speed = 40 mph
Final speed = 50 mph
The efficiency drop between 40 mph and 50 mph is given by:
![E_d = 0.1 \frac{mpg}{mph}*\Delta V](https://tex.z-dn.net/?f=E_d%20%3D%200.1%20%5Cfrac%7Bmpg%7D%7Bmph%7D%2A%5CDelta%20V)
The total efficiency drop from 40 to 50 mph is:
![E_d = 0.1 \frac{mpg}{mph}*(50-40)mph\\E_d = 1\ mpg](https://tex.z-dn.net/?f=E_d%20%3D%200.1%20%5Cfrac%7Bmpg%7D%7Bmph%7D%2A%2850-40%29mph%5C%5CE_d%20%3D%201%5C%20mpg)
Therefore, the efficiency at 50 mph is:
![E_{50} = E_{40} -E_d\\E_{50} = 39 -1\\E_{50} = 38\ mpg](https://tex.z-dn.net/?f=E_%7B50%7D%20%3D%20E_%7B40%7D%20-E_d%5C%5CE_%7B50%7D%20%3D%2039%20-1%5C%5CE_%7B50%7D%20%3D%2038%5C%20mpg)
The value of X is 35 because the angle 35 measures the same as the angle X, hence their values are the same
2 consecutive odd integers...x and x + 2
x + (x + 2) = 36
2x + 2 = 36 <===