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3 years ago

Equation horizontal asymptote vertical asymptote

Mathematics

1 answer:

ira [324]3 years ago

3 0

Answer:

Hello,

In order to determine which is the horizontal asymptote remember that the horizontal is always x= something and remember that horizontal is straight from left to right.

So Horizontal asymptote = 2

For vertical asymptote it goes from the bottom of the graph, directly up. Think about it like this, you stand upright...or vertically right? So the vertical asymptote is

y= 0

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1 point) Are the functions f,g, and h given below linearly independent? f(x)=e3x+cos(5x), g(x)=e3x−cos(5x), h(x)=cos(5x). If the

Fynjy0 [20]

Answer:

Functions are linearly dependent (are not linearly independent.)

Step-by-step explanation:

Remember that two functions f(x), g(x) and h(x) are said linearly independent on an interval I if the <em>only solution</em> to the equation

$\alpha f(x)+\beta g(x)+\omega h(x)=0, \ \text{for all } x\in I$

is the trivial one: α = 0, β = 0, ω = 0. If they are not linearly independent, they are called linearly dependent.

Now, let f(x), g(x) and h(x) be the functions:

$f(x)=e^{3x}+\cos(5x),$

$g(x)=e^{3x}-\cos(5x),$

$h(x)=\cos(5x).$

Then, letting α = 1, β= -1 and ω = -2, we see that:

$\alpha f(x)+\beta g(x)+ \omega h(x)=e^{3x}+\cos(5x)-e^{3x}+\cos(5x)+2\cos(5x)=0.$

Hence, the functions f(x), g(x) and h(x) are not linearly independent, or equivalently, are linearly dependent.

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3 years ago

You have the following expenses: clothes—$98.95, utilities—$234.98, rent—$875.34, and groceries—$103.98. Which expenses are disc

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Utilities and groceries

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3 years ago

Read 2 more answers

Find m∠A.<br> A. 32<br> B. 26<br> C. 27<br> D. 30

krok68 [10]

<h3>Answer: B. 26</h3>

============================================

Use law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

9^2 = 6^2 + 14^2 - 2*6*14*cos(A)

81 = 36 + 196 - 168*cos(A)

81 = 232 - 168*cos(A)

81 - 232 = -168*cos(A)

-151 = -168*cos(A)

-168*cos(A) = -151

cos(A) = (-151)/(-168)

cos(A) = 0.8988095

A = arccos(0.8988095)

A = 25.9979801

A = 26 degrees approximately

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3 years ago

lauren is the youngest of four sisters. the average of their ages(all different whole numbers) is 9 years. what is the oldest th

Elina [12.6K]

The max of Lauren's age --> the minimum of the others' ages, 1, 2 & 3

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3 years ago

2. Use this box and whisker graph to list the following scores.

Schach [20]

The list of scores from the given box-and-whisker plot are:

Lowest score: 20

Lower quartile (Q1): 30

Median: 60

Upper quartile (Q3): 80

Highest score: 100

The range = 80

<h3>How to Determine the Scores or Data Point from a Box-and-whisker Plot?</h3>

There are specifically 5 values that are referred to as the five-number summary which are displayed by a typical box-and-whisker plot. As shown in the image attached below, these values include the following:

The minimum value which is the least value
The lower quartile value (Q1)
The median value
The upper quartile value (Q3),
The maximum value which is the largest data score.

Thus, from the box-and-whisker plot that is given in this question, the five-number summary are:

Minimum value (lowest score): 20

Lower quartile value (Q1): 30

Median: 60

Upper quartile value (Q3): 80

Maximum value (highest score): 100

The range = max - min = 100 - 20

The range = 80

Learn more about the box-and-whisker plot on:

brainly.com/question/27849170

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