Answer:
no because they are not like terms you can't add 2 and a variable so it would be 4k+m-2
<h3>Answer: 1981</h3>
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Work Shown:
Recall that P is in thousands, so P = 95 means 95,000.
Plug in P(x) = 95. Solve for x. Use logarithms to get this done.
P(x)=230(0.881)^x
95=230(0.881)^x
95/230 = (0.881)^x
0.41304347826087 = (0.881)^x
(0.881)^x = 0.41304347826087
Log( (0.881)^x )= Log( 0.41304347826087 )
x*Log( 0.881 )= Log( 0.41304347826087 )
x= Log( 0.41304347826087 )/Log( 0.881 )
x= 6.97883817154785
x= 7
Approximately 7 years after 1974 is when the population will be around 95,000.
7 years after 1974 = 1974+7 = 1981
Answer:
the origin, (0, 0)
Step-by-step explanation:
The coordinates of A' are 1/2 those of A, meaning each has been multiplied by the scale factor 1/2. When the dilated points are all the original points multiplied by the scale factor, the center of dilation is the origin.
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For center of dilation Q, the image of a point A after dilation by a factor of k is ...
A' = kA + (k-1)Q
Then for points A, A', and dilation factor k, the center of dilation can be found to be ...
(A' -kA)/(k-1) = Q
Here, that is ...
Q = ((-2, -2) -(1/2)(-4, -4))/(1/2 -1) = (0, 0)/(-1/2)
Q = (0, 0)