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pochemuha
3 years ago
15

The function

Mathematics
1 answer:
kumpel [21]3 years ago
3 0
<h3>Answer:</h3>

The rate of change in the 2nd 3-year interval is 3.375 times that in the 1st 3-year interval.

<h3>Explanation:</h3>

The exponential function tells you that each year values get multiplied by 1.5. Then after thee years, values are multiplied by 1.5³ = 3.375. This is true for all function values, including average rate of change. Whatever the rate of change is in years 0–3, it will be 3.375 times that in years 3–6.

The calculation performed by the graphing calculator confirms this:

... the average rate of change in years 3–6 is 160.3125; in years 0–3, it is 47.5.

The ratio of these average rate of cange values is 3.375.

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Step-by-step explanation:

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Write a rational function with the given characteristics.
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According to the question, to express the rational function for the vertical asymptote whose equation is x=8 and horizontal asymptote whose equation is at y=0.

As per the question, the function 'f(x)' is vertical at x=8. Therefore, the denominator be (x-8)

f(x)=\frac{g(x)}{(x-8)}

The function 'g(x)' should have same degree as the denominator function has and it is defined asy=0

The rational function can be written as:

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To learn more about rational function from the given link:

<u>brainly.com/question/19044037</u>

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Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?
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Answer:

shows correct substitution of the values a, b, and c  from the given quadratic equation    into quadratic formula.

Step-by-step explanation:

Given: The quadratic equation

We have to show the correct substitution of the values a, b, and c from the given quadratic equation    into quadratic formula.

The standard form of quadratic equation is  then the solution of quadratic equation using quadratic formula is given as

Consider the given  quadratic equation

Comparing with general  quadratic equation, we have

a = -3 , b = -2 , c = 6

Substitute in quadratic formula, we get,

Simplify, we have,

Thus,  and x_{2}=\frac{2-\sqrt{76} }{-6}

Simplify, we get,

Thus,  shows correct substitution of the values a, b, and c  from the given quadratic equation    into quadratic formula.

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