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3 years ago

Illustrative Example 1:

Mathematics

1 answer:

dlinn [17]3 years ago

6 0

Given:

The data set is:

87, 84, 85, 85, 86, 90, 79, 82, 78, 76

To find:

The mode of the given data set.

Solution:

We have,

87, 84, 85, 85, 86, 90, 79, 82, 78, 76

Arrange the data values in the ascending order.

76, 78, 79, 82, 84, 85, 85, 86, 87, 90

We know that the mode of date set is the most frequency value of the data set.

From the above data set it is clear that the number 85 has the highest frequency 2.

Therefore, the mode of the data set is 85.

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-1/6b=3<br><br> b=<br><br> A. -18<br> B. -2<br> C 2<br> D 18

goldenfox [79]

$-\frac{1}{6}b = 3\\\\-\frac{1}{6}b\times -6 = 3\times -6\\\\ b = -18$

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4 years ago

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4 years ago

Show all work to identify the asymptotes and state the end behavior of the function f(x)=3x/x-9

lorasvet [3.4K]

Using the asymptote concept, we have that:

The vertical asymptote is x = 9.

The horizontal asymptote is y = 3.

The end behavior is that as $x \rightarrow \infty, y \rightarrow 3$ .

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

$f(x) = \frac{3x}{x - 9}$

For the vertical asymptote, we have that:

x - 9 = 0 -> x = 9.

For the horizontal asymptote:

$y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{3x}{x - 9} = \lim_{x \rightarrow \infty} \frac{3x}{x} = \lim_{x \rightarrow \infty} 3 = 3$

Hence, the end behavior is that as $x \rightarrow \infty, y \rightarrow 3$ .

More can be learned about asymptotes at brainly.com/question/16948935

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2 years ago

Indicate in standard form the equation of the line passing through the given point and having the given slope.

Svetradugi [14.3K]

Equation of a line passing through point (x1, y1) with slope m is given by y - y1 = m(x - x1)
y - 2 = -1/2(x - 6)
2(y - 2) = -(x - 6)
2y - 4 = -x + 6
x + 2y = 6 + 4
x + 2y = 10

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3 years ago

Which expression is represented on this number line?

Mrac [35]

Answer:

where's the number line??

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3 years ago