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
Mumz [18]
3 years ago
10

4. I need help with question in the attached picture!

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
8 0

Answer:

Option D is correct.

Step-by-step explanation:

f(x)= \frac{2x+1}{x-4} \,\,find \,\,value\,\,of\,\, f^{-1}(3)

We know that f(a) =b ⇔ f^-1 (b) =a

Using this,

We are given f^{-1}(3)=x => f(x)=3

and f(x)= \frac{2x+2}{x-4}

putting value of f(x)

3= \frac{2x+1}{x-4}\\3(x-4) = 2x+1\\3x-12 = 2x+1\\Adding\,\,like\,\,terms\,\,\\3x-2x = 12+1\\x=13\\So, f^{-1}(3) = 13

Option D is correct.

Arisa [49]3 years ago
4 0

ANSWER

D. 13

EXPLANATION

We have

f(x) =  \frac{2x + 1}{x - 4}

To find

{f}^{ - 1} (3)

means we want to find an x-value whose image is 3.

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

We cross multiply,

2x + 1 = 3(x - 4)

Expand:

2x + 1 = 3x - 12

Combine like terms,

3x - 2x = 12 + 1

x = 13

\therefore{f}^{ - 1} (3)= 13

You might be interested in
Is 3(b+c) equivalent expressions?<br><br>A. True <br><br>B. False
andre [41]

Answer:

Is 3(b+c) equivalent expressions?

A. True

8 0
3 years ago
Read 2 more answers
in your class 7 students do not receive weekly allowance, 5 students receive $3, 7 students receive $5, 3 students receive $6, a
Gemiola [76]
The mean is the average of a set of numbers.
To find the mean of this data, form a number set by gathering all the numbers.
We need to find the average weekly allowance. To do this, each number in the number set should be the different allowances, and their quantity is the number of students who earned that allowance.
In this case, there would be seven 0s, five 3s, seven 5s, three 6s, and two 8s.

The numbers are:
0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8

To find the mean of these numbers, add then together then divide by the total amount of numbers.

This means doing:
(0 + 0 + 0 + 0 + 0 + 0 + 0 + 3 + 3 + 3 + 3 + 3 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 8 + 8) / 7 + 5 + 7 + 3 + 2

An easier formula could be used by using multiplication.
This would be [7(0) + 5(3) + 7(5) + 3(6) + 2(8)] / 24
This is a lot easier to read!
Now to solve it.
7 • 0 = 0
5 • 3 = 15
7 • 5 = 35
3 • 6 = 18
2 • 8 = 16
0 + 15 + 35 + 18 + 16 = 84
84 / 24 = 3.5

The mean is 3.5, or $3.50
This means that the average weekly allowance amongst these students is $3.50.

Hope this helps!
4 0
3 years ago
Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.
CaHeK987 [17]

Answer:Hope This Helps ☺️

Step-by-step explanation:

She is not correct because she did not substitute the same number in both expressions in Step 1

Step-by-step explanation:

CASE 1: substitute 1 for x to both sides of the equations

L.H.S

-(4x-5)+2(x-3)

-(4 (1) - 5)+ 2(1-3) = - (-1) + 2(-2) = 1 - 4 = -3

R.H.S

-2x - 5

-2(1) - 5 = -2-5 = -7

Hence for x= 1

-(4x-5)+2(x-3) ≠ -2x -5

Because -3 ≠ -7

CASE 2: substitute -1 for x to both sides of the equations

L.H.S

-(4x-5)+2(x-3)

-(4 (-1) - 5)+ 2(-1-3) = - (-9) + 2(-4) = 9 - 8 = 1

R.H.S

-2x - 5

-2(-1) - 5 = 2-5 = -3

Hence for x= -1

-(4x-5)+2(x-3) ≠ -2x -5

Because 1 ≠ -3

Answer:

She is not correct because she did not substitute the same number in both expressions in Step 1

3 0
3 years ago
Read 2 more answers
A company uses a combination of three components- A, B and C to create three different drone designs. The first design Glider us
FrozenT [24]

Answer:

Consider the following calculations

Step-by-step explanation:

Since 1 Blimp uses 2 components of B and C each

=> choosing 2 components of B(remaining after using in other prototypes) for 1st model= 22C2

choosing 2 components of B(remaining after using in other prototypes) for 2nd model= 21C2

choosing 2 components of B(remaining after using in other prototypes) for 3rd model= 20C2

choosing 2 components of B(remaining after using in other prototypes) for 4th model= 19C2

choosing 2 components of B(remaining after using in other prototypes) for 5th model= 18C2

and choosing 2 components of C(remaining after using in other prototypes) = 24C2

Similarly for C

P(5 prototypes of Blimp created)=[(22C2 / 25C2 )*(24C2 / 25C2 )] + [(21C2 / 25C2 )*(23C2 / 25C2 )]+[(20C2 / 25C2 )*(22C2 / 25C2 )]+[(19C2 / 25C2 )*(21C2 / 25C2 )]+[(18C2 / 25C2 )*(20C2 / 25C2 )]

3 0
3 years ago
PLEASE HELPPP ITS DUE TODAY ILL GIVE U A GOOD REVIEW THINGY
mariarad [96]
I think your answer would be G:)
5 0
3 years ago
Other questions:
  • Musical megabytes How much disk space
    15·1 answer
  • What is the value of C?<br>14 = -2C - 6 – 3C <br>​
    9·2 answers
  • The data set shows the admission prices at several museums. $20, $20, $16, $12, $15, $25, $11 Find and interpret the range, inte
    14·1 answer
  • Solve for x<br> 3x + 80 = 107<br><br> What are the Awnser to these 2
    14·2 answers
  • 21 &gt; 3a - 21 + 9<br><br> Can you help solve this inequality please?
    13·1 answer
  • A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long.
    5·1 answer
  • Calculate the area of the shapes below.
    6·2 answers
  • Answer the questions about the following polynomial. <br><br> -10x +1
    7·1 answer
  • Find the ordered pair of both 4x-3y=6 and 6x + y =42
    12·1 answer
  • Quick Check 1 2
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!