Determine the holes, vertical asymptotes and horizontal asymptotes of the rational function y=(3x^2+10x-8)/(x^2+7x+12)
1 answer:
First, we have to factor both the numerator and the denominator
A hole in a rational function is defined as any input that leads to the numerator and denominator to equal zero as such, x=-4
The vertical asymptote can be found at x=-4 and x=-3
The horizontal asymptote since the numerator has the same degree as the denominator there is a horizontal asymptote. which is at y= 3
A hole in a rational function is defined as any input that leads to the numerator and denominator to equal zero as such, x=-4
The vertical asymptote can be found at x=-4 and x=-3
The horizontal asymptote since the numerator has the same degree as the denominator there is a horizontal asymptote. which is at y= 3
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Answer:
275
Step-by-step explanation:
Given that a survey of 391 children given at a local elementary school showed that 150 like chocolate ice cream, 225 like pistachio ice cream, and 116 do not like chocolate or pistachio ice cream.
Total = 391
cholocate ice cream =150
pistchio ice cream = 225
Neither -=116
If we partition universal set into disjoint sets exhaustive
we have A-B, B-A, AB, and (AUB)'
Total = 391
Let n(AB) i.e. likes both be x
Then we have n(A-B) = 150-x and n(B-A) = 225-x
Totalling
no of children who like atleast one kind of ice cream = n(U)-n(AUB)"
= 391-116
= 275
Answer:
Step-by-step explanation:
we know that
The circumference of a circle is equal to
we have
assume
substitute the values and solve for r