Which function is the verse of f(x)=2x+3?

Which Function Is The Verse Of F(x)=2x+3?

Answers

Answer 1

Answer:

Option B is correct

Step-by-step explanation:

A function has form of f(x) = 2x + 3, or y = 2x + 3

To find the inverse of f(x), we are going to represent x in form of y.

To do this, we try to send all components containing x to one side of expression and send the other components to the other side of expression.

Now, let's do it.

y = 2x + 3

We firstly send 3 to the right, change the sign of 3 from + to -, we have:

y - 3 = 2x

We then rearrange both sides to get a standard form:

2x = y - 3

We now divide both sides by 2 to get the expression of x:

(2/2)x = (y - 3)/2

We simplify both sides of expression to obtain final result:

x = (1/2)y - 3/2

=> Inverse of f(x) is x = (1/2)y - 3/2

=> Option B is correct


Related Questions

A cylinder has a base diameter of 6 centimeters and a height of 15 centimeters. What
is its volume in cubic centimeters, to the nearest tenths place?

Answers

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

\frac{h^{2}-1 }{h+3} when h=5

Plz answer

Answers

Answer:

3

Step-by-step explanation:

[tex]\frac{h^{2}-1 }{h+3}[/tex]

[tex]\frac{5^{2} -1}{5+3}[/tex]

[tex]\frac{25-1}{8}[/tex]

[tex]\frac{24}{8}[/tex]

3

what is equal to 3 * 3 * 3 * 3 * 3​

Answers

Answer:

243 or 3^5

Step-by-step explanation:

You can do the product by multiplying starting from the left.

3 * 3 * 3 * 3 * 3​ =

= 9 * 3 * 3 * 3

= 27 * 3 * 3

= 81 * 3

= 243

You can also change it to an exponential form.

3 * 3 * 3 * 3 * 3​ = 3^5

Answer:

243

Step-by-step explanation:

3x3x3x3x3=243

Please help me find the surface area. Please explain, but not so its confusing like common core. Thanks.

Answers

Answer:

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.


Above are two different models of the same triangular handkerchief. If the area of the model on the right is 108 sq cm, what is the area of the model on the left?
A.
27 sq cm
B.
54 sq cm
C.
12 sq cm
D.
36 sq cm

Answers

Answer:

54

Step-by-step explanation:

The area of the model on the left is 12[tex]cm^{2}[/tex]

What is scale factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

SCALE FACTOR FORMULAScale Direction    

Scale Up (smaller to larger)         = [tex]\frac{Larger figure measurement }{Smaller figure measurement}[/tex]

Scale Down (larger to smaller)     = [tex]\frac{Smaller figure measurement }{larger figure measurement}[/tex]

                     

According to question

area of right triangle which have (1cm= 2inch) is 108 [tex]cm^{2}[/tex] .

and Left triangle  have (1cm= 6inch)

we will convert cm into inch for right triangle

area of right triangle = 108 [tex]cm^{2}[/tex]

 as 1 cm = 2inch

1 [tex]cm^{2}[/tex] = 4 [tex]inch^{2}[/tex]

therefore,

108 [tex]cm^{2}[/tex] = 4 * 108  [tex]inch^{2}[/tex]

as mentioned that  two different models of the same triangular handkerchief

and left triangle is 1 cm = 6 inch

1 [tex]cm^{2}[/tex] = 36 [tex]inch^{2}[/tex]

now we have to scale down as we have to larger to smaller

Scale Down (larger to smaller)    = [tex]\frac{Smaller figure measurement }{larger figure measurement}[/tex]

= 4*108  / 36

= 12

Hence, the area of the model on the left is 12[tex]cm^{2}[/tex]

To know more about scale factor  here :

https://brainly.com/question/26903822

# SPJ2

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

29

Step-by-step explanation:

45-16=29

Answer:

The length of AB is 29.

Step-by-step explanation:

You can tell by the endpoints of the line, A is 16 and B is 45. To find the length of a horizontal segment like this one, just subtract the larger endpoint value from the smaller one. Hope this helps!

A chord is 15 cm long. It is 9 cm from the center of the circle. What is the radius of the circle?

Answers

Answer:

a²+b²=c²

7.5²+9²=c²

137.25=c²

√137.25=c²

11.72.... = c

The Radius of the circle is approximately 11.72cm

Step-by-step explanation:

Using this data. Create a Triangle with the Chord and Center of the dot. We know the distance between the chord and center which is one length of one of the sides.

We split the chord from the intersecting line from the center to the chord making the second line being 7.5cm

After We draw a line from the center of the circle to where the chord meets to the edge of the circle to create the triangle

We now have 2 measurements and can use Pythagorean Theorem to determine the radius from the missing length of the triangle.

Write each as a percent. Round to the nearest tenth of a percent

Answers

Answer:

0.9

Step-by-step explanation:

0.89

Tenths is the first number after the decimal

The second number after the decimal is higher than 5 is so you round the number next to it

So the answer is 0.9

0.9 as a percentage is 90%

Dr. Lin is working a 12-hour shift at the hospital. She has already worked 9[tex]\frac{3}{4}[/tex] After taking a [tex]\frac{1}{4}[/tex] hour break, Dr. Lin splits her remaining time among her last 4 patients. How much time does Dr. Lin spend with each patient?

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The side-lengths of a trapezoid are increased by a scale factor of 2. Predict
how this change will affect the perimeter.

A. The perimeter will double.

B. The perimeter will decrease by half.

C. There will be no change in perimeter.

D. The perimeter will increase by 2 units.

Answers

the perimeter will increase by 2 units

Javier constructed a square by drawing two congruent triangles. Which shows one of the triangles he could have used? A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent. A triangle with angles 55 degrees, 35 degrees, and 90 degrees. A triangle with angles 65 degrees, 65 degrees, and blank. A triangle with 3 angles of 60 degrees. All sides are congruent.

Answers

Answer:

(A)A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent.

Step-by-step explanation:

If Javier wants to construct a square by drawing two congruent triangles.

One of the angle of the triangle must be equal to 90 degrees to form one of the vertex of the square.The other two sides of the triangle must be equal(congruent) to form the two adjacent side lengths of the square. This gives rise to an Isosceles Triangle with base angles of 45 degrees each.

Therefore, the triangle which could be used is a triangle with angles 45 degrees, 45 degrees, and 90 degrees.

The correct option is A.

Answer:

its a

Step-by-step explanation:

T.T Calling all geniuses please help me

Answers

Answer:

It is the first one.

Step-by-step explanation:

"I" is for interest.

"P" is for the amount you deposited or your initial amount.

"R" is for the rate of interest (ex. 3.86%)

"T" is for the time passed.

=
An artist mixes 2 lbs of plaster
with 3 gallons of water to make paper
mache. If the artist uses 18 gallons of water How many pounds of plaster will the artist need
water, how many pounds of plaster
will the artist need?

Answers

He will need 12lbs of plaster.

Nine friends went on a camping trip a campsite costs 40 per night for the first 4 people and campers can pay an extra fee for each additional person if the group of friends rented one campsite for one night and paid 80 how much did the campground charge for each additional person

Answers

Answer:

8 dollars per extra person

Step-by-step explanation:

subtract the original 40 dollars from 80 ,you get 40,the probloem tells you that there is 9 people meaning there was 5 extras ,so 40/5=8

Answer:

$8 charge for each additional person

Step-by-step explanation

$40/night for each person

First 4 people already paid.

Leftover are 5 people.

9-4=5

Since first 4 people paid, the rest to be paid is $40.

$80-$40=$40

To find the charge for each person, divide the amount of money left by the amount of people left.

40÷5= 8

$8 is the additional charge for each additional person.

Figure CDEF is a parallelogram.

Parallelogram C D E F is shown. The length of F C is 6 n minus 1, the length of C D is 4 n + 2, and the length of D E is 5 n + 9.

Which equations are correct? Select three options.

n = 10
n = 7
CF = 59
FE = 42
CD = 30

Answers

Answer: A, C, D

Step-by-step explanation: The other person accidentally put 49 instead of 42

The equations that are correct are n = 10, CF = 59 and FE = 42

Properties of a parallelogram

From the attached diagram, we can see that the opposite side of the parallelogram are equal, hence;

DE = CF
6n - 1  = 5n + 9'

Find the value f n

6n - 5n = 9 + 1

n = 10

CF = 5n + 9

CF = 5(10) + 9
CF = 59

For the measure of FE
FE = 4n + 2

FE = 4(10) + 2

FE = 42

Hence the equations that are correct are n = 10, CF = 59 and FE = 42

Learn more on parallelogram here: https://brainly.com/question/970600

y=x^{2} +4x-7 determine the axis of symmetry the vertex point and find the roots useing the QUADRATIC FORMULA

Answers

Answer:

Step-by-step explanation:

y=x²+4x-7

=x²+4x+4-4-7

=(x+2)²-11

axis of symmetry is x=-2

vertex is (-2,-11)

x²+4x-7=0

[tex]x=\frac{-4 \pm\sqrt{4^2-4(1)(-7)} }{2(1)} \\=\frac{-4 \pm \sqrt{16+28} }{2} \\=\frac{-4 \pm 2\sqrt{11} }{2} \\=-2 \pm\sqrt{11}[/tex]

Answer:

Axis of symmetry is x = -2

(-2, -11) is the vertex

Roots are

-2 + [tex]\sqrt{11}[/tex], -2 - [tex]\sqrt{11}[/tex]

Step-by-step explanation:

a) Axis of symmetry equation is: x = -b/2a

Original equation: y = [tex]x^2+4x-7[/tex]

So...

x= -4/2(1) = -2

Axis of symmetry is x = -2

b) Vertex Point can be found by plugging into original equation.

[tex]y =x^2+4x-7[/tex]

=> y = [tex](-2)^2+4(-2)-7[/tex]

=> 4 - 8 - 7 = y

=> -11 = y

(-2, -11) is the vertex

c) quadratic formula is  [tex]x = \frac{-b +-\sqrt{b^2-4ac} }{2a}[/tex]

Lets plug in the values.

[tex]\frac{-4 +- \sqrt{4^{2}-4(1)(-7) } }{2(1)}[/tex]

[tex]\frac{-4 +- \sqrt{16+28 } }{2}[/tex]

[tex]\frac{-4 +- \sqrt{44 } }{2}[/tex]

[tex]\sqrt{44} = 2\sqrt{11}[/tex]

-4 +- 2[tex]\sqrt{11}[/tex]

--------------

     2

Here, i will factor out 2, and take out the +- and make it into two equations

2(-2 + [tex]\sqrt{11}[/tex]) / 2 = -2 + [tex]\sqrt{11}[/tex]

2(-2 - [tex]\sqrt{11}[/tex]) / 2  =   -2 - [tex]\sqrt{11}[/tex]

x= -2 + [tex]\sqrt{11}[/tex]

or

x = -2 - [tex]\sqrt{11}[/tex]

Roots are

-2 + [tex]\sqrt{11}[/tex], -2 - [tex]\sqrt{11}[/tex]

How many students had more than 6 candy bars
use the picture above ​

Answers

Answer:

3

Step-by-step explanation:

you have to count all the xs past the number 6

3 students had more than 6 candy bars.

What is this equal to 24=a(-2r1)(6-r2)

Answers

Answer:

  24

_______

2r^3 - 12r

Step-by-step explanation:

Let's solve for a.

24 = a(−2r^1)(6 − r^2)

Step 1: Flip the equation.

2ar^3 − 12ar = 24

Step 2: Factor out variable a.

a(2r^3 − 12r) = 24

Step 3: Divide both sides by 2r^3 - 12r.

a(2r^3 − 12r)            24

__________ = ________

   2r^3 - 12r       2r^3 - 12r

Make q the subject of the formula p = 2q2

Answers

Answer:

q = ± [tex]\sqrt{\frac{p}{2} }[/tex]

Step-by-step explanation:

Given

p = 2q² ( divide both sides by 2 )

[tex]\frac{p}{2}[/tex] = q² ( take the square root of both sides )

± [tex]\sqrt{\frac{p}{2} }[/tex] = q

Find the value of the combination. 7 C 2


a.21

b.42

c.49

Answers

The answer is 21

Step-by-step explanation:

Find x in this proportion.
x/3 = x+2 /5
x =

-1
1
2
3

Answers

Answer:

it 2

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation:

[tex]\frac{x}{3}=\frac{x+2}{5}\\\\x*5=3*(x+2)\\5x =3x+6\\\\5x-3x=6\\\\2x=6\\\\x=\frac{6}{2}\\\\x=3[/tex]

A square has a perimeter of 44cm. Calculate the area of the square.

Answers

Answer:

121 cm²

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the measure of the side )

Given perimeter = 44 cm , then

s = 44 ÷ 4 = 11cm , thus

A = 11² = 121 cm²

Answer:

Step-by-step explanation:

Ryan scored 87, 93, 96, and 89 on her first four history quizzes. What score does Ryan need to get on her fifth quiz to have an average of exactly 91 on her history quizzes?

Answers

Answer: For Ryan to get an average of exactly 91, she needs to get a 90 on her fifth quiz.

Step-by-step explanation:

You can find the average of a set of numbers by adding them together and dividing the sum by the amount of numbers added.

Ryan has five total quizzes. Only four of them are known, so we can represent her fifth quiz as X.

[tex]\frac{87 + 93 + 96 + 89 + x}{5}[/tex], dividing the five quizzes' sum by 5

She wants the average to be exactly 91, so you can set the expression equal to 91 and solve:

[tex]\frac{365 + x}{5} = 91\\\\365 + x = 455\\\\x = 90[/tex]

For Ryan to get an average of exactly 91, she needs to get a 90 on her fifth quiz.

10, 25, 55, ____, 235

Answers

Answer: 95

Step-by-step explanation:

Answer:

the pattern is going by 15.

Step-by-step explanation:

Which best describes the shape of this distribution?

skewed left
skewed right
uniform
normal

Answers

I believe it would be uniform

Answer:

uniform i think sorry if im wrong

Which of the following represents the translation of A (1, −2) along the vector <−5, 1> and then the vector <3, 0>?
A. A (1, −2) → A ′(2, −7) → A ″(6, −7)
B. A (1, −2) → A ′(−4, −1) → A ″(−1, −1)
C. A (1, −2) → A ′(−5, 1) → A ″(3, 0)
D. A (1, −2) → A ′(−5, −2) → A ″(−15, 0)

Answers

Answer:

B. A (1, −2) → A ′(−4, −1) → A ″(−1, −1)

Step-by-step explanation:

When you see anything in between <> (let's say <a, b> are the numbers), it basically means <x+a, y+b>.

So if you replace a with -5, b with 1, and x and y with (1, -2) you get...

= (1 + (-5), -2 + 1)

= (1-5, -1)

= (-4, -1) ----------> Those are the coordinates of the new point.

But wait, it says that we now have to translate along the vector <3, 0>

So (-4, -2) become the new (x, y) coordinates and <3, 0> become the new a, b

= (-4+3, -1 + 0)

= (-1, -1)

That means that the coordinates of point A'' are (-1, -1)

Another way you could do this is by combining the two translations to just do one translation. It'll skip over the middle step, but will still give you the correct answer.

You would combine them by adding the translations of the x-coordinates together and the y-coordinates together

= <-5 + 3, 1 + 0 >

= <-2, 1>

Now you translate the point by this vector and...

= (1 - 2, -2 + 1)

= (-1, -1)

Tada! It works!

Therefore, the answer is B.

I NEED HELP ASAP!!!
PLEASE HELP ME!!!​

Answers

Answer:

A). X is 80 degrees

Step-by-step explanation:

B). We know this because AD and EH are congruent.  Since B and F are also congruent, then x and the angle above B must be congruent. So, the angle an=bove B is 80 degress, which makes line AD 180 degrees, or a straight line. that must mean that x is 80 degrees as well.

I hope this works. Good luck!

Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5% per year. What interest does he earn at the end of 1 year?
-must haves :)..
right answer.
makes sense.
step by step.
^I will mark someone the brainliest when someone answers this, thank youuu:)

Answers

Answer:

1,260

Step-by-step explanation:

Find the MAD of the data set 26,34,66,71,76,82,88,95. show work

Answers

Answer:

MAD mean absolute deviation = 18.9

Step-by-step explanation:

mean: 26 + 34 + 66 + 71 + 76 + 82 + 88 + 95 = 538/8 = 67.25

26 - 67.25 = 41.25

34 - 67.25 = 33.25

66 - 67.25 = 1.25

71 - 67.25 = 3.75

76 - 67.25 = 8.75

82 - 67.25 = 14.75

88 - 67.25 = 20.75

95 - 67.25 = 27.75

(MAD) mean absolute deviation: 41.25 + 33.25 + 1.25 + 3.75 + 8.75 + 14.75 + 20.75 + 27.75 = 151.5/8 = 18.9


PLS HELP ME ON MY ALGEBRA

Answers

Answer:

Step-by-step explanation:

The answer is C
Because if it’s (4,16)
X=4
Y= 4x4=17
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