Each boy in a class has 7 pockets and each girl in that class has 11 pockets. How many boys and how many girls are there in this
2 answers:
Answer: There are 10 boys and 7 girls in the class.
Step-by-step explanation:
Let x be the number of boys and y be the number of girls then according to the question we have the following equations :-
The value of y from (1) will be
, substitute this in equation (2), we get
∴
Hence, there are 10 boys and 7 girls in the class.
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The vertical asympototes of f(x) are at x = -6 and x = 6
Step-by-step explanation:
To find the vertical asymptote(s) of a rational function,
- Equate the denominator by 0
- Solve it for x
- If x = a, then the vertical asymptote is at x = a
∵
- Equate the denominator x² - 36 by 0
∵ x² - 36 = 0
- Add 36 to both sides
∴ x² = 36
- Take √ for both sides
∴ x = ± 6
∴ There are vertical asymptotes at x = -6 and x = 6
The vertical asympototes of f(x) are at x = -6 and x = 6
Learn more:
You can learn more about the asymptotes in brainly.com/question/6459599
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Here are the answer: a) R = 3.6 and b) A = 2
Step-by-step explanation:
Given,
R is inversely proportional to A.
R ∝
so, R = -------eq 1 where k is any constant
To find the values of a) R when A = 5 and
b) Value of A when R = 9
Now,
Putting R = 12 and A = 1.5 in eq 1 we get,
12 =
or, k = 12×1.5 = 18
From eq 1 we get,
R = --------- eq 2
Now,
a) Putting A= 5 in eq 2 we get,
R = = 3.6
b) Putting R = 9 in eq 2 we get
R =
or, A = = 2