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artcher [175]
3 years ago
12

Given that f(x)=x2+2x +3 and g(x)=X+4/3, solve for f(g(x)) when X=2

Mathematics
1 answer:
wlad13 [49]3 years ago
5 0
G(2) =  2 + 4/3 =  10/3

f(g(x)) = f(g(2)) =   (10/3)^2 + 20/3 + 3 =   187/9  =  20 7/9 answer
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The equation that expresses the amount of oil, A, in terms of the number of weeks, w, since October 31 is:

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<h3>How to write the linear equation?</h3>

We know that Betty and Paul start with 250 gallons of oil in October 31, which is our initial time, w = 0.

Since November they start using 15 gallons per week, so one week after, at w = 1 (this would be at the end of the first week of November) they will have:

250 gal - 15 gal = 235 gallons of oil.

And each week after that, the amount of oil in the tank will decrease by a fixed amount of 15 gal. This can be described wit a linear equation.

If for each week the tank losses 15 gallons of oil, after w weeks the amount of oil in the tank is:

A = initial quantity - amount that is lost en the w weeks.

A = 250 gal - w*15gal.

The equation that expresses the amount of oil, A, in terms of the number of weeks, w, since October 31 is:

A(w) = 250 gal - w*15gal.

If you want to learn more about linear equations:

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<h3>Calculating Speed </h3>

From the question, we are to calculate the speed of each stream

From the given information,

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Using the formula,

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For the Down stream,

Distance = 24 km

Time = 4 hours

Thus,

Speed = 24 km / 4 hours

Speed = 6 km/hour

Hence, the upstream speed is 4 km/hour and the down stream speed is 6 km/hour

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