The linear function f(x) passes through the points (0,5) and (2,7) a few values from the exponential function g(x) are shown in the table -1 2/5 2 50 3 250 what is the positive difference in y intercept value of f(x) and g(x)

3

Step-by-step explanation:

The linear function

One of the points is (0,5), so

f(0) = 5

The y-intercept is at (0,5).

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The exponential function

The general formula for an exponential function is .

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Calculate the value of b

    y₃/y₂ = [a(b)³]/[a(b)²]

250/50 = b

         b = 5

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Calculate the value of a

250 = a(5)³

250 = a × 125

   a = 2

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g(0) = 2(5)⁰

g(0) = 2 × 1

g(0) = 2

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|f(0) – g(0)| = |5 – 2|

|f(0) – g(0)| = 3

The positive difference in the y-intercepts of f(x) and g(x) is 3.

You can see the two y-intercepts on the graph below.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

answer: get jesus in your life

step-by-step explanation: