Write the inverse function,
f^-1 (x), for the function
f (x) = 2x + 3

Answers

Answer 1

[tex]f(x) = 2x + 3[/tex]

[tex]y = 2x + 3[/tex]

Subtract the sides of the equation minus 3

[tex]y - 3 = 2x[/tex]

Divided the sides of the equation by 2

[tex] \frac{y - 3}{2} = x \\ [/tex]

So ;

[tex] {f}^{ - 1}(x) = \frac{x - 3}{2} \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

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Related Questions

6 = 2(y + 2) Y = I
pls ​

Answers

It would be 6=6

As you are given y, you would plug in the 1 into the equation which gives you 6=2(1+2) after, you use PEMDAS or GEMDAS, you add 1+2 which gives you 3 leaving you with 6=2(3) and lastly you multiply 2(3) which is 6 so 6=6!! Hope this helps!!!

20 POINTS FOR YOU !!!
HELP ME PLEASE
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
given: ABCD is a parallelogram
prove: angle 1 is supplementary to angle 3

Answers

For a better understanding of the answer provided here, please have a look at the attached diagram.

The diagram has been made as per the information provided in the question.

From the statements in the question we can see that:

[1] is the angle  

[2] is Supplementary

[3] is the segment bc

Thus, the above are the words or names that correctly fill in the blanks to complete the proof.

Answer:

See below.

Step-by-step explanation:

  Statements:                        Reasons:

1) ABCD is a parallelogram     : Given

2) ∠1≅∠2                                   : Alternate Interior Angles Are Congruent

3) ∠2+∠3=180                           : Angle Addition Postulate

4) ∠1+∠3=180                            : Substitution

5) ∠1 is supplementary to ∠3   : Definition of Supplementary Angles

And we're done!

la longitud del lado de un cuadrado si su área es 81 pulgadas cuadradas​

Answers

Answer:

kgr5igv%6ovdr

Step-by-step explanation:

g7id24ohswegbj see ohsd

Answer of 18x2+3x-15 with solution

Answers

Answer:

-9

Step-by-step explanation:

Hope this helps

Factor 9r2 – 36r – 45.

Answers

Answer:

9(r - 5)(r - 1)

Step-by-step explanation:

9r^2 - 36r - 45

First, factor out 9

9(r^2 - 4r - 5)

Then you can factor what's inside the parentheses

9(r - 5)(r -1 )

143 dollars is divided in the ratio 2:3:6 calculate the share​

Answers

Answer:

The first share is 26 dollars, the second share is 39 dollars and the last share is 78 dollars.

Step-by-step explanation:

So here is how you do this:

Whole               = 2+3+6

                         = 11

Step 2:

first share           = 2/11 multiplied by 143/1

                           = 143 divided by 11

                           = 13

                            = 13 multiplied by 2

                            = 26

Answer for the first share is 26 dollars

Step 3:

second share         = 3/11 multiplied by 143/1

                               = 143 divided by 11

                               =  13

                               = 13 multiplied by 3

                               = 39

Answer for the second share is 39 dollars

Step 4:

third share               = 6/11 multiplied by 143/1

                                = 143 divided by 11

                                = 13

                                 = 13 multiplied by 6

                               =   78

Answer for third share is 78 dollars

In rhombus ABCD, diagonals AC and BD intersect at point E. If AE = 5cm and BE = 12 cm, what is the length of AC?


a-24 cm
b-17cm
c-7 cm
d-10 cm

Answers

Answer:

Length of AC is 10 cm

Step-by-step explanation:

Here , we are interested in calculating the length of the diagonal AC.

Please check attachment for the pictorial representation;

From the diagram, we can see that the length

AC = AE + EC

Also, the length AE = EC

So the value of AC = 5cm + 5cm = 10 cm

Negative ten is no less than two times a number plus fourteen.

Answers

-10-2•14a it should be something like this

Answer:

-10 ≥ 2x + 14

Step-by-step explanation:

-10 ( negative ten )

≥ ( symbol for no less )

2x ( two times a number)

14 ( plus fourteen )

Find the slope of the line given two points:
(8, 10) and (-7, 14)
A
m = -15/4
B
m = -24/1
с
m = -4/15
D
m = 4/15

Answers

Answer:

The answer is option C

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8, 10) and (-7, 14)

The slope is

[tex]m = \frac{14 - 10}{ - 7 - 8} = \frac{4}{ - 15} = - \frac{4}{15} \\ [/tex]

We have the final answer as

[tex] - \frac{4}{15} \\ [/tex]

Hope this helps you

Tommy is travel to see his aunt. He drives for 40 minutes for 1280 miles, how fast was Tommy driving?

Answers

Answer:

1280/40=32

Step-by-step explanation:

Answer:

speed = 32 miles per hour

= 32 mi/h

I need help with biconditinal statements in geometry​

Answers

[tex]\huge\underline\mathcal\pink{₳₦₴₩ɆⱤ:-}[/tex]

Biconditional statements do not use the key words 'if' and 'then.' Biconditional statements are true statements that combine the hypothesis and the conclusion with the key words 'if and only if.'

For example, the statement will take this form: (hypothesis) if and only if (conclusion). We could also write it this way: (conclusion) if and only if (hypothesis). If you figured out that both the conditional and converse statements have to be true for a biconditional statement to exist in geometry, you are correct. It's like a reversible jacket; you can wear it on both sides.

Let's rewrite our last example:

Conditional statement: If a polygon has three sides, then it is a triangle.

Converse statement: If a polygon is a triangle, then it has three sides.

Since both are statements are true, we can go ahead and make our biconditional statements:

A polygon is a triangle 'if and only if' it has three sides.

A polygon has three sides 'if and only if' it is a triangle.

Since we can write two biconditional statements, we could also define them as compound statements, since both the conditional and the converse statements have to be true. Let's practice some more.

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y = x-3
y = x +3
Independent
Dependent
Inconsistent

Answers

Answer:

y = x-3

y = x +3

Dependent

Find the next term of the sequence.

16, 9, 2, –5,

Answers

Answer:

-12

Step-by-step explanation:

BRAINLIEST PLEASEEEE HELP DUE IN 3hrs Can someone help me with this

Answers

Answer:

Step-by-step explanation:

14: k^-3/k^4= 1/k^7

15: answer : 1/3²

16: n^-4

17: f-g^4 = 3-(-5)^4 = -622

18: (x^5-y^2)²+x³ =

(2^5-8^2)²+2³ =1032

19: m²-n³

6²-2³ = 36-8=28

20 : 2²×3²×5³= 4500

4500/10 = 450 islands

Oliver's Flavored Popcorn comes in cylindrical tins divided into three equal sections of caramel, cheese, and buttered flavors. If the tin is 10 inches in diameter and 15 inches tall, what is the volume to the nearest tenth of only the cheese popcorn?

Answers

Answer:

The volume of only the cheese popcorn is 392.5 cubic inches.

Step-by-step explanation:

To determine the volume of only the cheese popcorn,

First, we will determine the volume of the cylindrical tin

The volume of a cylinder is given by

V = πr²h

Where V is the volume of the cylinder

π is a constant, (Take π = 3.14)

r is the radius of the cylinder

and h is the height of the cylinder

From the question, the tin is 10 inches in diameter and 15 inches tall.

Diameter = 10 inches, therefore, we can find radius

Radius = Diameter/2 = 10/2 = 5 inches

r = 5 inches

h = 15 inches

Now, putting the values into the equation, we get

V = 3.14 × 5² × 15

V = 1177.5 cubic inches

This is the volume of the cylindrical tin.

Since the cylindrical tin is divided into three equal sections of caramel, cheese, and buttered flavors, then the volume of only the cheese popcorn will be one-third of the total volume of the cylindrical tin.

∴ The volume of only the cheese popcorn = 1/3 × 1177.5 = 392.5 cubic inches

Hence, the volume of only the cheese popcorn is 392.5 cubic inches.

pls help this is confusing. also who likes my cursor?​

Answers

Answer:

Here's the solution.

Step-by-step explanation:

Okay so,

12 with an exponent of 5 equals 248832 because you multiply 12*12*12*12*12.

12 with an exponent of 4 equals 20736 because you multiply 12*12*12*12.

Since it's division you use the inverse which is multiplication.

Therefore 248832×20736=5159780352

So 12 with an exponent of what number equals 5159780352?

12 with an exponent of 9.

To check your answer do 5159780352 divided by 248832 which equals 20736.

Therefore your answer would be C.

I hope this helps you understand and your cursor is cool, it's the yin yang symbol, correct? How did you do that?

still gonna cry leave step by step pls

Answers

Answer: 114

Step-by-step explanation: Because 48+18 = 66 and 180-66 is 114.

Answer:

C

Step-by-step explanation:

∠ BHC = ∠ FAB = 48° ( alternate angles )

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABC is an exterior angle of the triangle, thus

∠ ABC = ∠ BHC + ∠ ECB = 48° + 18° = 66° → C

please helpp What is the converse of the statement below?
If three points lie on the same line, then they are collinear.

answer choices
If three points are not collinear, then they do not lie on the same line.
If three points are collinear, then they lie on the same line.
If three points lie on the same line, then they are collinear.
If three points do not lie on the same line, then they are not collinear.

Answers

Answer:

B, the second option

Step-by-step explanation:

If there points are collinear then they lie on the same line

What is the equivalent ratio to the ratio 4:6.how do I know the ratio is equivalent?

Answers

Since you asked, simply, to know how a ratio is equivalent to another.

Ratios are like fractions in the way that they can be multiplied and simplified. 1:2, for example, can also be 10:20, 5:10, etc. This is inherent to the way a ratio works - say, for every 1 person, there are two cheese slices. This means that when the group gets larger, so does the amount of cheese slices.

Now, to find an equivalent ratio. You can simplify 4:6 by finding the GCF (greatest common factor) of these two numbers - something you can divide both of them by evenly. In this case, the GCF is 2. We divide both 'sides' by 2, and we get a simplified ratio of 2:3. You can then multiply this by different numbers (ones that are logical and could reasonably lead you to an answer on your worksheet or whatnot) until you find an equivalent ratio.

1... 2(9n-1)+7(n+6)=-60
2... 11(4-6y)+5(13y+1)=9

Answers

Step-by-step explanation:

2(9n-1)+7(n+6)=-60

18n - 9 + 7n + 42 = -60

25n + 33 = -60

25n = -93

n = -3.72

11(4-6y)+5(13y+1)=9

44 - 66y + 65y + 5 = 9

-y + 49 = 9

-y = -40

y = 40

Answer:

Hello! I hope I’m correct!! :)

1. n = -4

2. y = 40

Step-by-step explanation:

Steps for the first equation.

Step #1. {we are solving for “2(9n-1)+7(n+6)=-60”}

[tex]18n-2+7n+42=-60[/tex]

Step #2. Simplify.

[tex]25n+40=-60[/tex]

Step #3. Subtract 40 {from both sides}

[tex]25n=-60-40[/tex]

Step #4. Simplify.

[tex]25n=-100[/tex]

Step #5. Divide both of the sides by 25. Which will be:

[tex]-\frac{100}{25}[/tex]

Step #6. Now divide (simplify) 100 & 25 which will give you the answer.

[tex]n=-4[/tex]

So for the first equation the answer is n = -4

______________________________________

Now let’s solve the second equation.

Step #1. Expand

[tex]-y+49=9[/tex]

Step #2. Subtract 49 from both sides.

[tex]-y+49-49=9-49[/tex]

Step #3. Simplify.

[tex]-y=-40[/tex]

Step #4. Divide both sides by -1.

[tex]-40/-1[/tex]

Step #5. Simplify.

[tex]y=40[/tex]

And your answer to the second equation would be y = 40

Sorry if this is incorrect but I hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! (≧∇≦)

~By, BrainlyAnime~ <3

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,-9) and (7,3)
Help?!

Answers

Answer:

The answer is 15.

Step-by-step explanation:

d =  sqr. root of (x_2 - x_1)^2 + (y_2-y_1)^2}

= sqr. root of  7- - 2 ^ 2 + 3 - - 9 ^ 2

= sqr. root of 9 ^ 2 + 12 ^ 2

= sqr. root of 81 + 144

= sqr. root of 225

= 15

What’s the answer?????

Answers

Answer:

x=2

y=.75

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1.5/0.75 = 2

5/1.5 = 2

Hence the common ratio (constant of proportionality) is 2

Divide 1540 by 7.

Please show working

Answers

Answer:

220

Step-by-step explanation:

Please help!
Please explain this as much as possible!

Answers

Answer:

Ry-axis (for reflection over y-axis) * Ty-7 (for translation by 7 units down)

Step-by-step explanation:

It can be observed that LMNP is reflected over y-axis and translated vertically down by 5 - (-2) = 7 units to map to ABCD

This can be shown as:

Ry-axis (reflection over y-axis) * Ty-7 (translation by 7 units down)

54=__x6
Can anyone tell me

Answers

Answer:

9

Step-by-step explanation:

solve the inequality x/4+1<6

Answers

Answer:

x < 20

Step-by-step explanation:

Answer:

X<20

Interval notation

(-oo,20)

Step-by-step explanation:

Which answer shows a two-step equation? a.3-n=18 b. r+ 8 = 9 c. 5x = 12 d. s – 15 = 6​

Answers

A because of the x value and the 3 equally the 18

ive been stuck on this expression for a while now

Answers

Answer:

xy^(2)z^(6)

Step-by-step explanation:

i hope that helps  you :)

Find the slope y intercept and x intercept and write in y=mx+b

Answers

Answer:

Slope (m) = (-1/6)

y-intercept (b) = (-3.5)

x-intercept (x) = (-21)

y = mx + b

y = (-1/6)x - 3.5

Explanation:

y = (-1/6)x - 3.5

0 =  (-1/6)x - 3.5

3.5 = (-1/6)x

(-1/6)x * -6 = x

3.5 * -6 = -21

-21 = x

Omar is putting 5 liters of water in two goldfish bowls. He spills 200 milliliters of water and divides the remaining water evenly into two bowls? A) How many liters of water was spilt? B) How many milliliters of water was remaining? C) How many milliliters of water does Omar pour in each bowl?

Answers

Answer:

a) 0.2 L

b) 4800 ml

c) 2400 ml

Step-by-step explanation:

Total volume of water = 5 litres

Since 1000 milliliters make 1 L

5L = 5000 ml

a) litres of water spilt = 200/1000 = 0.2 L

b) milliliters of water remaining = 5000 - 200 = 4800 ml

c) since it was expressly stated in the question that the remaining water was divided evenly; 4800/2 = 2400 ml in each bowl

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