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lana66690 [7]
3 years ago
10

Katrin is making a poster for school elections. She draws a line 20.4 centimeters long across the poster board. She starts at on

e end of the line and makes a mark every 3.4 centimeters along it. She plans to write the letters of her name in the spaces between the marks. Will Katrin make enough spaces for each letter of her name to go in one space? Explain how you know​
Mathematics
1 answer:
ra1l [238]3 years ago
3 0

Answer:

yes

to determine if she would have enough space, divide 20.4 by 3.4. this gives 6

Katrin has 6 letters

so it would be enough

Step-by-step explanation:

Number of spaces created = length of the line / distance between each space

20.4 / 3.4 = 6

Katrina is made up of 6 letters.

the space would fit

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Studentka2010 [4]

Part A: Vertical asymptote is x=0

Part B: Domain is \left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)

Part C: Horizontal asymptote is y=4

Part D: Range is \left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)

Explanation:

Part A: We need to determine the vertical asymptote

The vertical asymptote of a function can be determined by equating the denominator equal to zero.

Thus, we have,

x=0

Hence, the vertical asymptote is x=0

Part B: We need to determine the domain

The domain of the function is the set of all independent x - values for which the function is real and well defined.

Let us take the denominator and equate to zero.

Hence, we have, x=0

Therefore, the function is undefined at the point x=0

Thus, the domain of the function is \left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)

Part C: We need to determine the horizontal asymptote

The horizontal asymptote of the function can be determined by dividing the leading coefficient of the numerator by leading coefficient of the denominator.

Thus, we have, y=4

Hence, the horizontal asymptote of the function is y=4

Part D: We need to determine the range

The range of the function is the set of all dependent y -values of the function.

In other words, the range of the function can be determined by substituting the values for x.

Thus, we have,

\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)

Therefore, the range of the function is \left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)

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