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3 years ago

Find a formula for a function that has vertical asymptotes x = 2 and x = 7 and horizontal asymptote y = 2.

Mathematics

1 answer:

Pie3 years ago

6 0

Hello :

hello : 
1 ) if : xـــــــ> ± ∞ 
limf(x) = b ....(b∈R) so : y=b is the equation of the line horizontal asymptote.

2) if : xـــــــ> a ...(a∈R)
limf(x) = ± ∞
so : x=a is the equation of the line vertical asymptote.

hint : in this exercice : a = 2 or a = 7 but : b=2

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Answer:

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Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Number of girls in the grade = 81

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Number of students in the grade = 81 + 72 = 153

2. Let's find the number of girls in a group that has 16 boys.

For getting that number we will use the Rule of three simple, this way:

Number of girls in a group that has 16 boys = (81 * 16)/72

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3 years ago

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Step-by-step explanation:

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Taking into account that from the first equation we know that: $4x=2y+10$ , we can express the second equation as:

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Because (-8) is being divided by (2+k), then (2+k) can't be equal to 0, so:

$2+k=0$ if $k=-2$

This means that k can be any number different than -2, and for each of these solutions, there is a different solution for y, allowing also, different solutions for x.

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