X= 455625 / 1048576 , HOPE THIS HELPS!
Answer:
D. The city's population is decreasing at a rate of 15 people each year.
Step-by-step explanation:
We presume x=0 in 2005, so the population in 2005 is ...
P(0) = -15·0 +53,708 = 53,708 . . . . . . not 53,703
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In 2011, the population would correspond to that for x=6, so would be ...
P(6) = -15·6 +53,708 = 53,618 . . . . . . not 53,813
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The x-coefficient of -15 means that when x increases by 1, the population decreases by 15. The population <em>decreases</em> by 15 each year, not <em>increases</em>.
The answer is 21-(-34)=13
Answer:
(A)(12, 9)
Step-by-step explanation:
Given:
The beginning of the left edge of the stencil falls at (2, −1).
A point, say Q on the stencil is at (4, 1).
Point Q divides the stencil into the ratio 1:4.
We are required to find the end of the stencil.
Mathematically, Point Q divides the stencil internally in the ratio 1:4.
For internal division of a line with beginning point
and end point
in the ratio m:n, we use the formula
![Q(x,y)=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )](https://tex.z-dn.net/?f=Q%28x%2Cy%29%3D%28%5Cdfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%20%2C%5Cdfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%20%29)
,
, Q(x,y)=(4,1), m:n=1:4
Therefore:
![(4,1)=(\dfrac{1x_2+4*2}{1+4} ,\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5} ,\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)](https://tex.z-dn.net/?f=%284%2C1%29%3D%28%5Cdfrac%7B1x_2%2B4%2A2%7D%7B1%2B4%7D%20%2C%5Cdfrac%7B1y_2%2B4%2A-1%7D%7B1%2B4%7D%20%29%5C%5C%284%2C1%29%3D%28%5Cdfrac%7Bx_2%2B8%7D%7B5%7D%20%2C%5Cdfrac%7By_2-4%7D%7B5%7D%20%29%5C%5C%24Therefore%3A%5C%5C%5Cdfrac%7Bx_2%2B8%7D%7B5%7D%3D4%5C%5Cx_2%2B8%3D4X5%5C%5Cx_2%3D20-8%3D12%5C%5C%24Similarly%5C%5C%5Cdfrac%7By_2-4%7D%7B5%7D%3D1%5C%5Cy_2-4%3D5%5C%5Cy_2%3D4%2B5%3D9%5C%5C%28x_2%2Cy_2%29%3D%2812%2C9%29)
The correct option is A.