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Natasha_Volkova [10]
3 years ago
10

Solve the following system of equations graphically.

Mathematics
2 answers:
alina1380 [7]3 years ago
7 0
<span>y - 4 = 0 so y = 4

</span><span>2x - 4 - 2 = 0
2x = 6
x = 3

(3, 4) is the solution

answer is </span><span>{(3, 4)} (last choice)</span>
NemiM [27]3 years ago
5 0
The correct answer is C.
(3,4) 
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Murrr4er [49]

If you mean f(x)=x+\frac1x, then the derivative is

\displaystyle f'(x) = \lim_{h\to0} \frac{\left(x+h+\frac1{x+h}\right) - \left(x+\frac1x\right)}h \\\\ = \lim_{h\to0} \frac{(x+h)-x}h + \lim_{h\to0} \frac{\frac1{x+h} - \frac1x}h \\\\ = \lim_{h\to0} \frac hh + \lim_{h\to0} \frac{x-(x+h)}{hx(x+h)} \\\\ = \lim_{h\to0} 1 - \lim_{h\to0} \frac h{hx(x+h)} \\\\ = 1 - \lim_{h\to0} \frac1{x(x+h)} \\\\ = \boxed{1 - \frac1{x^2}}

If you mean f(x) = \frac{x+1}x = 1 + \frac1x, we know from above that

\displaystyle \left(\frac1x\right)' = \lim_{h\to0} \frac{\frac1{x+h}-\frac1x}h = -\frac1{x^2}

which leaves the constant term, whose derivative is

\displaystyle (1)' = \lim_{h\to0}\frac{1 - 1}h = 0

and so

f'(x) = -\dfrac1{x^2}

6 0
2 years ago
The price of an item has been reduced by $2.18. The new sale price is $36.64. What was the original price?
Ilia_Sergeevich [38]

Hello :D

To find out the original price you have to do:

$36.64 + $2.18 = $38.82

Original price = $38.82

4 0
2 years ago
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schepotkina [342]

Answer:

25\pi

Step-by-step explanation:

The formula for the area of a circle is A=\pi r^{2}, r is your radius, A is your area, and π is pi (3.1415...). You plug in your radius, or 5 into r, square it, 25, and multiply it by pi. You may be asked to use a certain number of digits of pi, and in that case you multiply for example 3.14 by 25, however 25\pi is the exact answer.

6 0
2 years ago
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