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Elanso [62]
3 years ago
11

Graph the following equation

Mathematics
1 answer:
Shalnov [3]3 years ago
7 0

Answer:

Graphic attached

Step-by-step explanation:

The oblique asymptote of the function has the shape of a line of the form

y = mx + b

We need to find the slope m and the intercept b.

The oblique asymptote is found by these two limits:

m = \lim_{x \to \infty}\frac{f(x)}{x}\\\\b = \lim_{x \to \infty}[f(x) - mx]

If f(x) = \frac{(2x+3)(x-6)}{(x+2)(x-1)} then:

m = \lim_{x \to \infty} \frac{\frac{(2x+3)(x-6)}{(x+2)(x-1)}}{x}\\\\m = \lim_{x \to \infty} \frac{2x^2-9x-18}{x^3 +x^2 -2x}\\\\m = 0

The slope is 0. Therefore the function has no oblique asymptote.

<em>Horizontal asymptote:</em>

y = 2

<em>Vertical asymptote </em>

x = -2\\x = 1

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To find the answer you would need to find the values of x and y. Using the given information you know x/5 is equal to 2/3. Then you would cross multiply and divide in order to fine the value of x, which is 10/3. Doing the same thing to find y, which would be 15/2. Since it’s day the ratio of x and y. You would divide the value of x by y to get your answer of 4/9.
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marysya [2.9K]

Answer:

The mode of the data set is 4.

Step-by-step explanation:

Hey there!
The <u>mode</u> of a data set is the most commonly occurring data value in that set.

To begin, we need to organize the data set in <u>increasing order</u>:

1, 1, 2, 3, 4, 4, 4, 6, 6, 10

Then, we can tally the <u>frequency</u> of each data value occurring in the data set:

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We can see that there are three occurrences for the data value 4 — which is the most frequent occurrence — so 4 is our answer.

Learn more about <u>mode</u> here: brainly.com/question/11163338

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Step-by-step explanation:

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