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drek231 [11]
3 years ago
9

Determine the equations of any vertical asymptotes in the graph of the rational function. f(x)= 2/(x2-12x+27)

Mathematics
1 answer:
valkas [14]3 years ago
7 0

Answer:

  • x = 3
  • x = 9

Step-by-step explanation:

The equation factors as ...

  f(x)=\dfrac{2}{(x-3)(x-9)}

Values of x that make the factors zero are the locations of the vertical asymptotes: x = 3 and x = 9.

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Which fraction has repeating decimal as it’s decimal expansion
Elis [28]

Step-by-step explanation:

The definition of a repeating decimal is a fractional number in which one or more numbers after the decimal point repeats indefinitely. The fractional representation of 1/3, which is . 3333333 (with the 3 repeating forever) is an example of a repeating decimal.

7 0
3 years ago
Solve each equation for the given variable: <br> 4x+6+3=17
Ede4ka [16]
4x+6+3=17\\\\4x+9=17\ \ \ \ |subtract\ 9\ from\ both\ sides\\\\4x=8\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{\boxed{x=2}}
8 0
3 years ago
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Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmospher
Artemon [7]

Answer: 2500 years

Step-by-step explanation:

I'm not quite sure if I'm doing this right myself but I'll give it a shot.

We use this formula to find half-life but we can just plug in the numbers we know to find <em>t</em>.

A(t)=A_{0}(1/2)^t^/^h

We know half-life is 5730 years and that the parchment has retained 74% of its Carbon-14. For A_{0 let's just assume that there are 100 original  atoms of Carbon-14 and for A(t) let's assume there are 74 Carbon-14 atoms AFTER the amount of time has passed. That way, 74% of the C-14 still remains as 74/100 is 74%. Not quite sure how to explain it but I hope you get it. <em>h</em> is the last variable we need to know and it's just the half-life, which has been given to us already, 5730 years, so now we have this.

74=100(1/2)^t^/^5^7^3^0

Now, solve. First, divide by 100.

0.74=(0.5)^t^/^5^7^3^0

Take the log of everything

log(0.74)=\frac{t}{5730} log(0.5)

Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the <em>t</em> and get

5730\frac{log(0.74)}{log(0.5)} =t

Use your calculator to solve that giant mess for <em>t </em>and you'll get that <em>t</em> is roughly 2489.128182 years. Round that to the nearest hundred years, and you'll find the hopefully correct answer is 2500 years.

Really hope that all the equations that I wrote came out good and that that's right, this is definitely the longest answer I've ever written.

5 0
3 years ago
Help me please ill give brainlist
solmaris [256]

Answer:

106.8 in.

Step-by-step explanation:

The circumference of a circle:

C = 2πr

Substitute the given information into the formula.

C = 2(3.14)(17) = 106.8

5 0
3 years ago
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Doyle Company issued $500,000 of 10-year, 7 percent bonds on January 1, 2018. The bonds were issued at face value. Interest is p
mezya [45]

Answer:

f

Step-by-step explanation:

6 0
2 years ago
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