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zhannawk [14.2K]
4 years ago
10

explain why the function f(x)= 5x-15/x-3 is not asymptotic to the line x=3. sketch the graph of this function.

Mathematics
1 answer:
Katyanochek1 [597]4 years ago
3 0
X=3 is a vertical line . The question is "Is this line a vertical asymptotefor the function f(x)?". Vertical asymptote is vertical line near which the function grows without bound.
The function f(x)=5x-15/x-3 is not asymptotic to the line x=3, because for x=3 f(x)=5*3-15/3-3=0/0=0 . So, there is a value for x=3 and the function f(x) does not grow near x=3 without bound.

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The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the point- slope
natta225 [31]
I think the answer is the second choice.
4 0
3 years ago
Solve for f: 6f + 9g = 3g + f
lozanna [386]
Hi there!

Let's solve this equation step by step!
6f + 9g = 3g + f

To solve for f, we need to bring all the terms in the equation with an f in it to the left, and all the other terms (with a g) to the right.

First subtract f from both sides.
5f + 9g = 3g

Now subtract 9g from both sides.
5f = -6g

And finally divide both sides by 5.
f = (-6/5)g

Hence, your answer;
f =  -  \frac{6}{5} g

~ Hope this helps you!
6 0
3 years ago
Read 2 more answers
What is the word form of the number 602,107?
Nadusha1986 [10]
<span><u>Answer</u>
Six hundred and two thousand, one hundred and seven.

<u>Explanation </u>
When writing numbers in words you consider the place value of the digits forming that number. A digit is defined by its place value.
In the questions above, 6 is in hundred thousands place, 0 in ten thousands place, 2 in thousands place, 1 in hundreds place, 0 in tens place and 7 in ones place.
So, the 602, 107 in words is Six hundred and two thousand, one hundred and seven. 
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3 0
3 years ago
If g(x) = x4<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="absmiddle" class="l
ELEN [110]
Answer: 69,904

Explanation:
g(-16)= (-16)^4-(-16)^3+(-16)^2-(-16)
g(-16)= (65,536)-(-4,096)+(256)-(-16)
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4 0
3 years ago
A drug used to relieve anxiety and nervousness has a half-life of 16 hours. if a doctor prescribes one 2.8-milligram every 24 ho
dlinn [17]

After 24 hours, 35.4% of the initial dosage remains on the body.

<h3>What percentage of the last dosage remains?</h3>

The exponential decay is written as:

f(x) = A*e^{-k*x}

Where A is the initial value, in this case 2.8mg.

k is the constant of decay, given by the logarithm of 2 over the half life, in this case, is:

k = ln(2)/16h

Replacing all that in the above formula, and evaluating in x = 24 hours we get:

f(24h) = 2.8mg*e^{-24h*ln(2)/16h} = 0.9899 mg

The percentage of the initial dosage that remains is:

P = \frac{0.9899mg}{2.8mg}*100\% = 35.4\%

If you want to learn more about exponential decays:

brainly.com/question/11464095

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8 0
2 years ago
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