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Fed [463]
1 year ago
7

The slope of the line below is 3. Which of the following is the point slopeform of the ling?O A. y-2=3(446)O B. y-6--3/442)O C.

y425-34-5)O D. 446=-3x - 2)

Mathematics
1 answer:
polet [3.4K]1 year ago
4 0

The slope of the line is given as -3 and it passes through the point (2, -6).

Thus we can write the equation of the line in point-slope form;

\begin{gathered} \frac{y-y_1}{x-x_1}=-3 \\ \frac{y-(-6)}{x-2}=-3 \\ \frac{y+6}{x-2}=-3 \\ y+6=-3(x-2) \\  \end{gathered}

Therefore, the correct option is D

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To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7

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Therefore, the population of Ohio will be 10 million in the year 1970

Learn more here:  brainly.com/question/25504185

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