1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stiv31 [10]
1 year ago
11

Help please quick will be given enough points

Mathematics
1 answer:
Licemer1 [7]1 year ago
3 0
<h2>A)</h2>

\\\\\text{Given that,} ~ g(x) = \dfrac 13 x + 5 \\\\\text{Write g(x) as}~ y = \dfrac 13 x +5 \\\\\text{Replace x with y and then solve for y:}\\\\~~~~~~~x = \dfrac 13y +5 \\\\\implies 3x = y + 15~~~~~~~~~~~~~~~~~~~;[\text{Multiply both sides by 3]}\\\\\implies y = 3x -15\\\\\implies g^{-1} (x) = 3x -15 \\

<h2>B)</h2>

\left(g \circ} g^{-1} \right)(x)\\\\=g\left(g^{-1}(x) \right)\\\\=g(3x-15)\\\\=\dfrac 13\cdot(3x-15)+5\\\\=x -5 +5\\\\=x

You might be interested in
The area of a circle is a square miles. What is the circumference?
Komok [63]

Answer:

What is the area?

Step-by-step explanation:

5 0
2 years ago
Given: f(n) = 3n-5 and g(n) = 2n-1<br>Find: (fog)(5​
laiz [17]

Answer:

22

Step-by-step explanation:

So we have the two functions:

f(n)=3n-5\text{ and } g(n)=2n-1

And we want to find (fog)(5). This is the same as:

(f\circ g)(5)=f(g(5))

So, find g(5) first:

g(5)=2(5)-1\\

Multiply and subtract:

g(5)=10-1=9

So, we can substitute:

f(g(5))=f(9)

Find the value:

f(9)=3(9)-5

Multiply and subtract:

f(9)=27-5=22

So:

(f\circ g)(5)=22

And we're done!

4 0
3 years ago
A box contains 10 balls, of which 3 are red, 2 are yellow, and 5 are blue. Five balls are randomly selected with replacement. Ca
VLD [36.1K]

Answer:

The required probability is 0.1.

Step-by-step explanation:

red balls = 3

yellow balls =  2

blue balls = 5

Selected balls = 5

Number of elemnets in sample space = 10 C 5 = 1260

Ways to choose 1 red ball and 4 other colours =  (3 C 1 ) x (7 C 4) = 105

Ways to choose 5 balls of other colours = 7 C 5 = 21

So, the probability is

\frac{105}{1260} + \frac {21}{1260}\\\\\frac{126}{1260}=0.1  

8 0
3 years ago
An international company has 22,700 employees in one country. If this represents 23.1 of the company's employees,how many employ
GrogVix [38]

Answer: 98268

Step-by-step explanation:

Given: In an international company,

Employees in one country = 22,700

If this is 23.1% of the total number of company's employees,

[1\%=\dfrac1{100} , replace 'of' by '×']

i.e. 23.1% of (total employees) = 22700

\Rightarrow\ \dfrac{23.1}{100}\times\text{(total employees)}=22700\\\\\Rightarrow\ \text{Total employees}=\dfrac{22700\times100}{23.1}\\\\\Rightarrow\ \text{Total employees}=98268.4\approx98268

Hence, there are 98268 employees in total.

4 0
2 years ago
Find what w equals<br><br> 4(3w+5)−2w=70
Luba_88 [7]
4(3w+5)-2w=70
10w+20=70
10w+20-20=70-20
10w=50
10w/10=50/10
w=5
8 0
2 years ago
Read 2 more answers
Other questions:
  • Genevieve is cutting 60-inch piece of ribbon into a ratio of 2:3.Since 2 inches are frayed at one end of the ribbon, she will ne
    14·1 answer
  • Using the coordinates of two points (84, 80) and (74, 65), determine the slope of the line of best fit.
    12·2 answers
  • PLEASE HELP ME!!! 3x + 1 over 4y2
    7·2 answers
  • Modern medical advances might mean people could live 200 years. inâ 2009, the life expectancy is about 80 years. assumeâ that, d
    6·1 answer
  • Consider the function f(x)=2x-1. Whats is f(2)
    7·1 answer
  • Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she drink in total?
    13·1 answer
  • Carlos bought a new car that costs $27,250. The value of a car decreases continuously by 13% each year that it is owned. a. Writ
    9·1 answer
  • In a survey, 75% of respondents said that they watch TV for one hour each day. If 30
    11·2 answers
  • A basketball player is 7 feet tall and releases the ball when his hands are 8 feet into the air at a velocity of 12 feet per sec
    6·1 answer
  • Find the probability. You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows a number fro
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!