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3 years ago

Tom caught 4 fish and his son caught 12 fish.

Mathematics

1 answer:

Hitman42 [59]3 years ago

8 0

Answer:

a)33.33333333% b) 25%

Step-by-step explanation:

a) To find you're answer, you need to find the equivalent percentage to the fraction 4/12. SO you need to do 4 divided by 12, or you can find an equivalent fraction. 4/12=1/3 and 1/3 is 33.33333%

b) The total number of fish is 4+12=16. 4/16= 1/4 and 1/4 is 25%

I really hope this answer helps!

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(a) mtan refers to the slope of the tangent line. Given f(x) = 9 + 7x ², compute the difference quotient:

$\dfrac{f(x+h)-f(x)}h = \dfrac{(9+7(x+h)^2)-(9+7x^2)}h = \dfrac{(9+7x^2+14xh+7h^2)-9-7x^2}h = \dfrac{14xh+7h^2}h$

Then as h approaches 0 - bearing in mind that we're specifically considering h near 0, and not h = 0 - we can eliminate the factor of h in the numerator and denominator, so that

$m_{\rm tan} = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{14xh+7h^2}h = \lim_{h\to0}(14x+7h) = 14x$

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(b) The equation of the tangent line is then y = 9.

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