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zaharov [31]
3 years ago
15

F(x) = 1/x^2 and g(x) = 1/2x+4 f[g(x)] = 4x 2 _____

Mathematics
1 answer:
Korolek [52]3 years ago
5 0

Answer:

f[g(x)] = 4x²+1/16

Step-by-step explanation:

We need to put g(x) into f(x).

f[g(x)] = 1/(1/2x+4)²

f[g(x)] = 1/(1/4x²+16) Solve the exponential.

f[g(x)] = 1/(1/4x²+16) Simply the fraction.

f[g(x)] = 4x²+1/16

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Correlation coefficients fall in a scale from -1.0 to 1.0 and show how ________ the points are on the scatter plot around a ____
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postnew [5]

Answer:

The line equation in slope-intercept form is:

y\:=-\frac{2}{5}x+4

Hence, option D is true.

Step-by-step explanation:

Given the points

  • (0, 4)
  • (5, 2)

Finding the slope between the points

\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(5,\:2\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{2-4}{5-0}

m=-\frac{2}{5}

As the y-intercept is obtained by setting the value x = 0.

As we know that when x = 0, the vale of y-intercept y = 4

so the y-intercept is b = 4.

As the slope-intercept form is

substituting the slope m = -2/5 and the y-intercept b=4

y  = mx+b

y\:=-\frac{2}{5}x+4

Therefore, the line equation in slope-intercept form is:

y\:=-\frac{2}{5}x+4

Hence, option D is true.

6 0
2 years ago
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Answer:

y=4/-2

Step-by-step explanation:

I think that is the answer

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