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1 year ago

* One endpoint of a line segment has coordinates represented by (x + 2, 5y): The midpoint of the line segment is (6, –3).

Mathematics

1 answer:

kirill [66]1 year ago

3 0

Answer:

$m = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 3 - 5y}{6 - (x + 2)} \\ = \frac{ - 3 - 5y}{6 - x - 2} \\ m = \frac{ - 3 - 5y}{4 - x}$

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bixtya [17]

Using an exponential function, it is found that f(5.5) = 19.8.

<h3>What is an exponential function?</h3>

An exponential function is a function in which the growth rate is a percentage, modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change.

f(3.5) = 25 means that:

$ab^{3.5} = 25$

$a = \frac{25}{b^{3.5}}$

f(8.5) = 14 means that:

$ab^{8.5} = 14$

Hence:

$\frac{25}{b^{3.5}} \times b^{8.5} = 14$

$25b^5 = 14$

$b = \sqrt[5]{\frac{14}{25}}$

$b = 0.89$

$a = \frac{25}{0.89^{3.5}} = 37.59$

Hence, the function is given by:

$y = 37.59(0.89)^x$

Then, when x = 5.5:

$f(5.5) = 37.59(0.89)^{5.5} = 19.8$

More can be learned about exponential functions at brainly.com/question/25537936

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1 year ago

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kozerog [31]

Answer:

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2 years ago

The product of a constant factor 15 and a 2-term factor x+4

dezoksy [38]

The product of 15 and $x+4$ is $15(x+4) = 15x+60$ . This is a linear binomial.

$4x^3-2x-9-(2x^3)$ is a cubic trinomial. In your original question, I'm not sure what the $5x+3$ means.

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dmitriy555 [2]

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Step-by-step explanation:

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2 years ago

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ira [324]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers