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3 years ago

The equation of a rational function does not have to contain a rational expression

Mathematics

2 answers:

jok3333 [9.3K]3 years ago

7 0

Your answer is false

kolbaska11 [484]3 years ago

3 0

Answer:

Hence, the given statement that:

The equation of a rational function does not have to contain a rational expression is a False statement.

Step-by-step explanation:

In mathematics, a rational function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials. Although the coefficients of these polynomials may not be rational numbers.

Hence, the statement:

The equation of a rational function does not have to contain a rational expression is FALSE.

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Richard and Teo have a combined age of 31. Richard is 10 years older than twice Teo's age. How old are Richard and Teo?

amm1812

Richard and Teo are 7 and 24.
7 times two is 14
24 is ten more than 14
31-7 is 24

8 0

2 years ago

HELP MEH<br> I can't figure this out. Please explain

vova2212 [387]

Answer:

x ≈ 33.0

Step-by-step explanation:

The third angle in the triangle is

180° - 70° - 76° = 180° - 146° = 34°

Using the Sine rule in the triangle

$\frac{x}{sin76}$ = $\frac{19}{sin34}$ ( cross- multiply )

x × sin34° = 19 × sin76° ( divide both sides by sin34° )

x = $\frac{19sin76}{sin34}$ ≈ 33.0 ( to the nearest tenth )

7 0

2 years ago

Read 2 more answers

There are 16 girls and 18 boys in a class. The teacher chooses a student's name at random to answer a question.

fomenos

Answer:

I would go with c

Step-by-step explanation:

if it is incorrect sorry

4 0

2 years ago

Read 2 more answers

g If the economy improves, a certain stock stock will have a return of 23.4 percent. If the economy declines, the stock will hav

dusya [7]

Answer:

$E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%$

Now we can find the second central moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965$

And the variance is given by:

$Var(X) = E(X^2) - [E(X)]^2$

And replacing we got:

$Var(X) = 413.5965 -(11.759)^2 =275.5105$

And finally the deviation would be:

$Sd(X) = \sqrt{275.5105}= 16.599 \%$

Step-by-step explanation:

We can define the random variable of interest X as the return from a stock and we know the following conditions:

$X_1 = 23.4 , P(X_1) =0.67$ represent the result if the economy improves

$X_2 = -11.9 , P(X_1) =0.33$ represent the result if we have a recession

We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And replacing the data given we got:

$E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%$

Now we can find the second central moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965$

And the variance is given by:

$Var(X) = E(X^2) - [E(X)]^2$

And replacing we got:

$Var(X) = 413.5965 -(11.759)^2 =275.5105$

And finally the deviation would be:

$Sd(X) = \sqrt{275.5105}= 16.599 \%$

7 0

2 years ago

A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed red side facing up 21 times.

faust18 [17]

42%

You have essentially a fraction, 21/50, which gives you a decimal of 0.42, or 42%.

(Flipped a total of 50 times, of those, it landed red side up 21 times, so 21/50)

8 0

3 years ago