If f(x) = 4x-3, which of the following is the inverse of f(x)?
7x+3
O A. F'(X) =
4
4x-3
O B. F'(x) = 447
7x-3
O c. F'(x) =
4
O D. F'(x) = 4***
SUBMIT
Math

Answers

Answer 1

Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}[/tex]

Step-by-step explanation:

[tex]f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x+3}{4}\\\\y=\dfrac{x+3}{4}\to y=\dfrac{1}{4}x+\dfrac{3}{4}[/tex]


Related Questions

What is the result when the number 63 is decreased by 1.3%?

Answers

Answer:

61.7

Step-by-step explanation:

Is 5/11 closer to 0, 1, 1/2

Answers

Answer:

If your rounding up, its 1/2

Step-by-step explanation:

Let E be the event that a corn crop has an infestation of ear worms, and let B be the event that a corn crop has an infestation of corn borers. Suppose that P(E) = 0.24, P(B) = 0.16, and P(E and B) = 0.13. Find the probability that a corn crop has either an ear worm infestation, a corn borer infestation, or both.

a. 0.53
b. 0.13
c. 0.6
d. 0.27

Answers

Answer:

d. 0.27

Step-by-step explanation:

Calculation to determine the probability that a corn crop has either an ear worm infestation, a corn borer infestation or both

Using this formula

P(E U B) = P(E) +P(B) -P(E n B)

Let plug in the formula

P(E U B) =0.24 + 0.16 -0.13

P(E U B)=0.27

Therefore the probability that a corn crop has either an ear worm infestation, a corn borer infestation or both will be 0.27

Find Y (pic attached) (i’ll mark brainliest)

Answers

Answer:

4y - 4 = 60

4y = 64

Y = 16

Answer is B

I get 60 as it is a equilateral triangle.

Thank you and please rate me as brainliest as it will help me to level up

A triangle has angles of 30° 60° and 90° It is dilated by a scale factor of three give the angle measures of the dilation of the triangle

Answers

The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°.

What is the scale factor?

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

Scale factor gives either a small or big similar image of a triangle, for example, if we have a triangle with vertices 2,4,6 and it is scaled by 1/2 then the resultant dimension will 1,2,3 but angles still remain the same.

Hence "The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°".

To learn more about scale factors,

brainly.com/question/22312172

#SPJ1

Please help.
Thank you in advance.

Answers

Answer:

its the last box and whisker plot

Step-by-step explanation:

Find x for each of the problems;
1) 2x+5=12+x
2)5x=30+3x
3)2+x/3=7
4)15-x=17-2x
5)6x= -42-x
6)36-4x=26-3x
7) -2+x=15

Answers

Answer:

1) x = 7

2) x = 15

3) x = 19

4) x = 2

5) x = - 6

6) x = 10

7) x = 17

Step-by-step explanation:

1) 2x + 5= 12 +x

  -x                -x

2x -x + 5 = 12

          -5     -5

x = 7

2) 5x = 30 + 3x

   -3x          -3x

2x = 30

x = 15

3) 2 + x/3 = 7

3(2 + x/3) = (7) 3

2 + x = 21

-2         -2

x = 19

4) 15 - x = 17 - 2x

       +2x       +2x

15 - x + 2x = 17

-15               -15

x = 2

5) 6x = - 42 - x

   +x            +x

7x = -42

x = - 6

6) 36 - 4x = 26 - 3x

         +3x           +3x

36 - x = 26

-36        -36

-x = -10

x = 10

7) -2 + x = 15

   +2         +2

x = 17

hope this helps!

The ratio of bananas to melons is 30:1 if there are 300 bananas how many melons are there

Answers

Answer:

10 melons

Step-by-step explanation:

The rate of change is 10.

30 : 1

300 : x

Multiply 30 x 10 to get 300. And you do the same to 1 and x. So, 1 x 10 = 10. So x = 10

So it would look like this -

30 : 1

300 : 10

hope this HELP! :)

Guys I will mark brainliest if you get this right

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{7}{8} - \frac{2}{3}}{\frac{5}{6}}\\\frac{7}{8}=\frac{21}{24}\\\frac{2}{3}=\frac{16}{24}\\\frac{21}{24}-\frac{16}{24}=\frac{5}{24}\\\frac{5}{24}*\frac{6}{5}=\frac{1}{4}[/tex]

2/7 + 3/7= please help xx

Answers

Answer:

5/7

Just add 2 and 3

The correct answer is 5/7.

Hope you have a great day!

Write the given equation in the form of an equation of a sphere and find its center and radius.
x2 + y2 + z2 = 12x + 2y
equation =

center (x, y, z) =

radius =

Answers

Complete whatever squares you can:

x² - 12x = x² - 12x + 36 - 36 = (x - 6)² - 36

y² - 2y = y² - 2y + 1 - 1 = (y - 1)² - 1

So rewrite the equation as

x² + y² + z² = 12x + 2y

→   x² - 12x + y² - 2y + z² = 0

→   (x - 6)² - 36 + (y - 1)² - 1 + z² = 0

→   (x - 6)² + (y - 1)² + z² = 37

Then the center is (x, y, z) = (6, 1, 0), and its radius is √(37).

Answer:The radius is the square root of the constant term, z

Step-by-step explanation:

edge 2021

Simplify 6(x + 2)- x(x - 1)

Answers

-x^2+7x+12


Let’s use distributive property
6(x+2)-x(x-1)

6x+12

Now the other part of the expression
-x(x-1)
-x^2+x

Put both parts of the expression together

6x+12 -x^2+x

-x^2+7x+12

Hope this helps

equivalent fraction of 6/126

Answers

Answer:

1/21

Step-by-step explanation:

Answer:

1/21

Step-by-step explanation:

6/126 = 1/21 because 6 divided by 6 equals 1 and 126 divided by 6 equals 21.

what is the determinant ?
PLS RESPOND IM IN DEEP NEED

Answers

Answer:  27

=======================================================

Explanation:

Check out the diagrams below. I posted two of them. Start with figure 1.

Notice how I've copied the first two columns and placed them on the right side of the matrix.

After that, I've highlighted the diagonals. The numbers in each diagonal grouping multiply together. I've used color coding to show this.

Once you find all those products, you add up the values. Figure 1 shows a result of 42. This isn't the final answer, but it helps us get there.

Figure 2 is a similar idea, but we're doing the off diagonals instead of the main diagonals. The result here is 15.

The last step is to subtract the results found in figures 1 and 2. We get 42-15 = 27 as the final answer.

You could use co-factor expansion as an alternative method. For me, I prefer this method of multiplying diagonals. Unfortunately the method only works for 3x3 matrices.

Write (6*100) + (4*10) in standard form

Answers

the answer is 600+40

1) What is the unit rate for a train that travels 10.5 kilometers in 8 minutes?
O A. 1.75
O B.0.762
C. 84
D. 840

Answers

Step-by-step explanation:

Given that,

Distance, d = 10.5 km = 10500 m

Time, t = 8 minutes = 480 s

We need to find the unit rate of a train motion. The distance divided by time is equal to the speed of the object.

[tex]\text{Rate}=\dfrac{\text{Distance}}{\text{time}}\\\\=\dfrac{10500\ m}{480\ s}\\\\=21.87\ m/s[/tex]

So, the unit rate is 21.87 m/s.

You exercise for 4 minutes to burn off 60 calories. If you exercise for 60 minutes and burn off 900 calories, is that correct?

Answers

Yes it is. 900 divided by 60=15. 60 divided by 4=15.

Answer:

4 minutes               60 calories

60 minutes              ?

Using cross-multiplication, you can find the solution.

4x = 3600

x = 900

Yes its true, you can burn 900 calories in 4 minutes

a grid of a hundred square show 7 shaded squares what decimal number is represented​

Answers

Answer:

0.07

Step-by-step explanation:

From the question, a given grid was divided into a definite number of squares with some of the squares shaded.

Total number of squares in the grid = 100

number of shaded squares in the grid = 7

Thus, 7 squares are shaded out of 100 square in the grid.

So that this can be expressed in fraction as;

[tex]\frac{number of shaded squares}{total number of squares}[/tex] = [tex]\frac{7}{100}[/tex]

                                = 0.07

The decimal number of the squares represented is 0.07.

Write an algebra expression to represent each scenario:

“the sum of 6 and y”

Answers

Answer:

6+y

Step-by-step explanation:

simple:)

4 divided by 9.48 hii

Answers

0.4219 Approximately .

Also HIIII

Answer:

4 divided by 9.48= 0.42( or 0.421940928.....)

Step-by-step explanation:

..

what methods could be used to solve the following quadratic equation x^2 +12-28=0

Answers

Answer:

Step-by-step explanation:

x^2 +12x-28=0

x^2+(14-2)x-28=0

x^2+14x-2x-28=0

X(X+14)-2(X+14)=0

(X+14)(X-2) is the factor of this quadratic equation.

Please help!Please help me​

Answers

Answer:

The answer is Thousandths

Answer:

Thousandths

Hope this helps!

Can you pls give brainly

Which expression is equivalent to 2(m − 5) + 6?

2m − 1
2m + 22
2m − 4
2m + 16

Answers

Answer:

2(m-5)+6
2m-10+6
2m-4

2m-4 is equivalent to 2(m-5)+6

Answer:

The answer is c

Step-by-step explanation:

Select the correct answer
Which statement best describes the graphed function?
ILL GIVE 15 PTS PLZ

Answers

Answer: the answer is a

Step-by-step explanation: learned about it in 9th grade

Answer:

it's a. the function has a relative maximum at (-2,4) and a relative minimum at (2,-4).

How do I solve this?

Answers

Answer:

132 degrees

Step-by-step explanation:

180-48

If the mean of a positively skewed distribution is 70, which of these values
could be the median of the distribution?

Answers

Answer:

65

Step-by-step explanation:

just took the quiz.com

For the number line shown which statement is not true

Answers

upload the picture...

Which equation represents this situation?

Charlie worked 1.5 hours less than Dirk. Together, they worked a total of 25 hours. Dirk worked h hours.


h+(h+1.5)=25

h−2.5=25

h+(h−1.5)=25

h−1.5=25

Answers

pretty sure it’s A, sorry if im wrong :)

Nick volunteers at the library shelving books.
The graph shows how many books Nick shelves one Saturday.

Graph of a diagonal line on a coordinate plane with ALTDCTime in hoursALTDC on x-axis and ALTDCNumber of BooksALTDC on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (2, 60) and (4, 120).

Part A
How many books does Nick shelve in 2 hours? Enter your answer in the box.

books


Part B
What does the point (3, 90) represent on the graph?
A.


Nick volunteers 90 hours in 3 weeks.
B.


Nick earns $90 in 3 weeks.
C.


Nick shelves 90 books in 3 hours.
D.


Nick shelves 90 books on 3 Saturdays.

Answers

Answer:

B: A

He earns $90 in 3 weeks.

C

He shelves 90 books in 3 hours.

Step-by-step explanation:

Answer:

Step-by-step explanation:

hey guys this is really in hard what is 1-5=

Answers

Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

start at one then start counting backward from one

1, 0, -1, -2, -3, -4

hope this helps   (*/ω\*)

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