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zvonat [6]
3 years ago
14

Do rational expressions contain logarithmic functions? A. always B. sometimes C. never

Mathematics
2 answers:
makkiz [27]3 years ago
5 0
<span>By definition, rational expression is the ratio of two polynomial function Q(x) and P(x), where P(x) should not be zero. Polynomial function is defined as continuous for all real number. But, Logarithmic function is continuous only for any value of x>0. Hence,Rational expression SOMETIMES contain logarithmic functions and it should not be located at the denominator.</span>
bazaltina [42]3 years ago
3 0

The right answer is C. never


The quotient of two algebraic expressions is a<em> fractional expression. </em> Moreover, the quotient of two <em>polynomials</em> such as:


\frac{1}{x} \\ \\ \frac{3x-2}{1+x} \\ \\ \frac{x^2-4}{x^2+2}


is called a rational expression. So according to this definition rational expressions does not contain logarithmic functions. In fact, a rational expression is an expression that is the ratio of two polynomials like this:


f(x)=\frac{P(x)}{Q(x)} \\ \\ with \ Q(x) \neq 0

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If f(x) = (2x^3 − 4)^6, then what is f '(x)?
Dominik [7]
The correct answer is:

6(2x^3-4)^5(6x^2)

Explanation:

That is the derivative after you differentiate using the Chain Rule.
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2 years ago
Iq scores are normally distributed with a mean of 100 and a standard deviation of 15.
bearhunter [10]

Mean is \mu=100 and a standard deviation is \sigma =15, then the variable X\sim N(100,15^2).

Use substitution

Z=\dfrac{X-\mu}{\sigma},\\  \\ Z=\dfrac{X-100}{15}.

This substitution gives you that Z\sim N(0,1).

a. For X=130, Z=\dfrac{130-100}{15}=2 and Pr(X>130)=Pr(Z>2) =0.9772 (the decimal value is taken from the Standard Normal Distribution Table).

b. For X=90, Z=\dfrac{90-100}{15}=-\dfrac{2}{3} and for X=110, Z=\dfrac{110-100}{15}=\dfrac{2}{3}. Then Pr(90 (the decimal value is taken from the Standard Normal Distribution Table).

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2 years ago
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Keith_Richards [23]

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13

Step-by-step explanation:

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4 0
2 years ago
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Adele is 5 years older than Timothy. In three years, Timothy will be of Adele’s age. What is Adele’s current age?
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Adele is going to be 12 years old

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3 years ago
A bag contains 6 green counters, 4 blue counters and 2 red counters. Two counters are drawn from the bag at random without repla
Svetach [21]

Answer:

24.24%

Step-by-step explanation:

In other words we need to find the probability of getting one blue counter and another non-blue counter in the two picks. Based on the stats provided, there are a total of 12 counters (6 + 4 + 2), out of which only 4 are blue. This means that the probability for the first counter chosen being blue is 4/12

Since we do not replace the counter, we now have a total of 11 counters. Since the second counter cannot be blue, then we have 8 possible choices. This means that the probability of the second counter not being blue is 8/11. Now we need to multiply these two probabilities together to calculate the probability of choosing only one blue counter and one non-blue counter in two picks.

\frac{4}{12} * \frac{8}{11} =   \frac{32}{132} or 0.2424 or 24.24%

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3 years ago
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