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Katyanochek1 [597]
3 years ago
13

Is there are 4 more girls than boys in ms. Raubs class of 28 students what is the ratio of girls to boys

Mathematics
1 answer:
Viefleur [7K]3 years ago
7 0
The ratio of girls to boys would be  16:12 because if you divide 28 by 2 you get 14. subtract 2 to on one of them and add the two to the other. You get 12 and 16. There is a difference of 4 to them and when you add them together you get 28. :)
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Suppose that we don't have a formula for g(x) but we know that g(3) = −5 and g'(x) = x2 + 7 for all x. (
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So it tells us that g(3) = -5 and g'(x) = x^2 + 7.

So g(3) = -5 is the point (3, -5)
Using linear approximation
g(2.99) is the point (2.99, g(3) + g'(3)*(2.99-3))

now we just need to simplify that
(2.99, -5 + (16)*(-.01)) which is (2.99, -5 + -.16) which is (2.99, -5.16)
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Doing the same thing for the other g(3.01)
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So we have our linear approximation for the two. 

If you wanted to, you could check your answer by finding g(x).  Since you know g'(x), take the antiderivative and we will get 
g(x) = 1/3x^3 + 7x + C
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So just to check our linear approximations use that to find g(2.99) and g(3.01)

g(2.99) = -5.1597
g(3.01) = -4.8397

So as you can see, using the linear approximation we got our answers as
g(2.99) = -5.16
g(3.01) = -4.84
which are both really close to the actual answer.  Not a bad method if you ever need to use it. 
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Answer:

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