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Georgia [21]
3 years ago
8

This is the image of the question

Mathematics
1 answer:
sineoko [7]3 years ago
3 0

9514 1404 393

Answer:

  all real numbers except x = 0

Step-by-step explanation:

The given equation has undefined terms when x=0, so the domain must exclude that value.

The domain of the terms of the equation is "all real numbers except 0."

__

The solution can be found by adding 1/(2x) to both sides and comparing the terms.

  9/4 = 8/(2x) +1/(2x)

  9/4 = 9/(2x)

  4 = 2x . . . . match denominators of the same numerator

  2 = x . . . . . the solution to the equation

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Simplify 3(9y - 2) WILL GIVE BRAINLIST IF FULLY EXAMPLED HELP!
Musya8 [376]

Answer:

27y - 6

Step-by-step explanation:

3(9y - 2)   Multiply 3 times each term in the parentheses

3 * 9y = 27y

3 * -2 = -6

5 0
3 years ago
Read 2 more answers
In 1986, the worst nuclear disaster occurred in Chernobyl, USSR, when an explosion at a nuclear power plant released 1000 kg of
Lostsunrise [7]

Considering the function for the remaining amount of cesium in the atmosphere, F(x) = 1000×0.5^(x/30), we have;

First part:

  • The area will be safe again in about 100 years time.

Second part;

  • The y-intercept is at the start of the measurement

Third part;

  • The function is a decay function

<h3>Which method can be used to evaluate the given function?</h3>

First part;

The given function for the remaining amount of cesium is presented as follows;

F(x) = 1000 \times  {0.5}^{ \frac{x}{30} }

When 100 kg. of cesium is remaining, we have;

100= 1000 \times  {0.5}^{ \frac{x}{30} }

Which gives;

\frac{x}{30}  =  \frac{ log(0.1) }{ log(0.5) }

x=  \frac{ log(0.1) }{ log(0.5) }  \times 30 \approx  100

  • Therefore, the area will be safe again in approximately 100 years.

Second part;

The y-intercept is given by the point where <em>x </em>= 0

At the y-intercept, we therefore have;

F(0) = 1000 \times  {0.5}^{ \frac{0}{30} }

  • F(0) = 1000

At the y-intercept, the amount of cesium remaining, F(x) is 1,000, which is the initial amount of cesium.

  • The y-intercept is therefore, at the start of the measurement, where 1000 kg. is present in the atmosphere.

Third part;

The amount of cesium remaining F (x) decreases as the time, <em>x</em>, increases, the function is therefore a decay function.

Learn more about exponential functions here;

brainly.com/question/2456547

#SPJ1

8 0
2 years ago
The radius of a circle is 2 units.<br> What is the diameter of the circle?
Ann [662]

Answer:

4units

Step-by-step explanation:

diameter is twice the radius

8 0
3 years ago
Read 2 more answers
Malik owes his mom $10, then pays back $5
Shkiper50 [21]

If Malik owes his mother $10 and pay her back $5 then he still owes her $5 an easier way to find this out is by simply subtracting $10.00-$5.00 :)

5 0
3 years ago
Read 2 more answers
How do you do this question?
Colt1911 [192]

Step-by-step explanation:

A Maclaurin series is a Taylor series that's centered at 0.

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) / n! xⁿ

If we substitute f⁽ⁿ⁾(0) = (n + 1)!:

f(x) = ∑ₙ₌₀°° (n + 1)! / n! xⁿ

f(x) = ∑ₙ₌₀°° (n + 1) xⁿ

Use ratio test to find the radius of convergence.

lim(n→∞)│aₙ₊₁ / aₙ│< 1

lim(n→∞)│[(n + 2) xⁿ⁺¹] / [(n + 1) xⁿ]│< 1

lim(n→∞)│(n + 2) x / (n + 1)│< 1

│x│< 1

R = 1

4 0
3 years ago
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