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PtichkaEL [24]
1 year ago
5

MATH: Composition of two functions...help needed with this problem

Mathematics
1 answer:
Evgesh-ka [11]1 year ago
3 0

The equation of Q(n) is Q(n) = \frac89 * (88n + 23)

<h3>How to determine the formula of Q(n)?</h3>

The functions are given as:

R(d) = \frac89 d

P(n) = 88n + 23

From the question, we understand that:

d = P(n)

This means that:

d = 88n + 23

Substitute d = 88n + 23 in R(d)

R(n) = \frac89 * (88n + 23)

Also, from the question

Q(n) = R(n)

So, we have:

Q(n) = \frac89 * (88n + 23)

Hence, the equation of Q(n) is Q(n) = \frac89 * (88n + 23)

Read more about composite functions at:

brainly.com/question/10687170

#SPJ1

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What is the answer and how do you solve <br><br><br> 21x^3/3x^−1
Sunny_sXe [5.5K]

Answer:

  as written: 7x^2

  perhaps intended: 7x^4

Step-by-step explanation:

As written, the Order of Operations specifies that the only denominator factor is 3, so the expression is interpreted as ...

  \dfrac{21x^3}{3}x^{-1}=\dfrac{21}{3}x^{3-1}=7x^2

___

Sometimes grouping of denominator factors is intended, but parentheses are not written as they should be. If the intention is ...

  21x^3/(3x^-1)

then the simplification is ...

  \dfrac{21x^3}{3x^{-1}}=\dfrac{21}{3}x^{3-(-1)}=7x^4

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The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^b/a^c = a^(b-c)

6 0
3 years ago
A university class has 26 students: 12 are art majors, 9 are history majors, 5 and are nursing majors. The professor is planning
azamat

Answer:

6.9%.

Step-by-step explanation:

Given that a university class has 26 students: 12 are art majors, 9 are history majors, 5 and are nursing majors, and the professor is planning to select two of the students for a demonstration, where the first student will be selected at random, and then the second student will be selected at random from the remaining students, to determine what is the probability that the first student selected is a history major and the second student is a nursing major the following calculations must be performed:

26 = 100

9 = X

9 x 100/26 = X

900/26 = X

34.61 = X

25 = 100

5 = X

500/25 = X

20 = X

0.2 x 0.3461 = X

0.069 = X

Thus, the probability that the first student selected is a history major and the second student is a nursing major is 6.9%.

8 0
3 years ago
Read 2 more answers
What is the place value for 3 in 318,472,008
VikaD [51]
Salutations!

What is the place value for 318,472,008

The number 3 is in the place as hundred million.

In the numeric form, we can write the number as ------

300, 000, 000.

Hope I helped.
6 0
3 years ago
Use the power series representation of f(x)=<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B1-5x%7D%20" id="TexFormula1" t
Sergeu [11.5K]
For |5x|, we have

\dfrac1{1-5x}=\displaystyle\sum_{n\ge0}(5x)^n

and so

g(x)=\dfrac{15}{1-5x}=15\displaystyle\sum_{n\ge0}(5x)^n=3\sum_{n\ge0}5^{n+1}x^n

which is, again, only valid for |5x|.
4 0
3 years ago
Help i need this **URGENT** brainliest for correct answer
Hunter-Best [27]

Answer:

\frac{25}{9}

Step-by-step explanation:

given the ratio of similar sides = a : b , then

ratio of areas = a² : b²

Given

ratio of sides = 5 : 3 , then

ratio of areas = 5² : 3² = 25 : 9 = \frac{25}{9}

8 0
3 years ago
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