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nadezda [96]
1 year ago
7

in the blanks below. Find the slope of the line passing through the points (-9, 2) and (9,2). slope: ​

Mathematics
1 answer:
user100 [1]1 year ago
3 0

I will assume that we are trying to find the slope between (-9,2) and (9, 2)

The slope's equation ⇒  \frac{y2-y1}{x2-x1}

<u>Let's set the variables</u>:

   (x1, y1) --> (-9, 2)

   (x2, y2) --> (9, 2)

<u>Now let's plug them in:</u>

  Slope = \frac{2-2}{9--9} =\frac{0}{18} =0

<u>Thus the slope of the line is 0.</u>

Hope that helps!

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Hope that helps

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Let f(x)=241+3e−1.3x . What is the point of maximum growth rate for the logistic function f(x) ? Round your answer to the neares
FromTheMoon [43]

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The point of maximum growth is at x=0.82

Step-by-step explanation:

Given a logistic function

f(x)=\frac{24}{1+e^{-1.3x}}

we have to find the point of maximum growth rate for the logistic function f(x).

From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at y=\frac{24}{2} i.e between 0 to 12

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\frac{24}{2}=\frac{24}{1+e^{-1.3x}}

⇒ 2=1+3\exp{-1.3x}

⇒ 1=3.\exp{-1.3x} ⇒ \frac{1}{3}=\exp{-1.3x}

                             ⇒ log 3=-1.3x

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5 0
3 years ago
I need help with this problem please ​
Gwar [14]

Answer:

  (a) reduction

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Each of the points A'B'C'D' is half as far from the origin as the original points ABCD, so the scale factor is 1/2.

_____

Draw lines C'C and D'D. You will see they meet at the origin, which is the center of dilation. Then look at how far the points are along those lines. C' is one grid square diagonal along the line; C is 2 grid square diagonals along that line, so is twice as far from the origin. That is, C' is 1/2 the distance of C, so represents a reduction by a scale factor of 1/2.

The same distance considerations are observed along the line D'D. The point D' is the diagonal of a 2x1 rectangle from the origin (A distance of √5.) The point D is the diagonal of a 4x2 rectangle from the origin, so is twice as far. Once again D' is 1/2 the distance of D, so represents a reduction by a factor of 1/2.

4 0
3 years ago
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