If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f (x) = 2x + 5, what is

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

The question has conflicting details

[tex]f(x) = 2x + 5[/tex]

[tex]f(x) = 2x + 5[/tex] and three halves doesn't sound correct.

So, I will take f(x) as

[tex]f(x) = 2x + 5[/tex]

Next, solve for the inverse function

Replace f(x) with y

[tex]y = 2x + 5[/tex]

Swap x and y

[tex]x = 2y + 5[/tex]

Make 2y the subject

[tex]2y = x-5[/tex]

Make y the subject

[tex]y = \frac{x-5}{2}[/tex]

Replace y with the inverse sign

[tex]f^{-1}(x) = \frac{x-5}{2}[/tex]

So, now we can calculate any value from the original function and from the inverse function.

For instance:

[tex]f^{-1}(7) = \frac{7-5}{2} = \frac{2}{2} = 1[/tex]

[tex]f(1) = 2*1 + 5 = 2+5=7[/tex]


Related Questions

4. Find the perimeter of quadrilateral PQRS

Answers

140.1 whatever the unit is

Need help on this question asap pleasee

Answers

Answer:

I think it is of the last option

Answer:

15×5 =75

Step-by-step explanation:

1 inch reprsnt 5

I have 2 possible answer, but I don't know which one. Help please.

Answers

Answer:

X=120

Step-by-step explanation:

It is an equalateral so all the angles in the middle are the same all being 60

The angle of a straight line is 180

So just minus 60 from 180 to get 120

180-60=120

Pls help I’ll give brainless

Answers

Answer:

108.56

Step-by-step explanation:

First find the amount of the tip

92 * 18%

92 * .18

16.56

Add this to the amount of the bill

92+16.56

108.56

Answer:

108.56

Step-by-step explanation:

92$ + .18*92 = 108.56$

PLEASE I NEED HELP!!!!

Answers

Q. Determine if the rates are equilvalent. Explain your reasoning. 25 hours in 5 days; 8 hours in 2 days. . .

[tex] \dashrightarrow [/tex] No!, as, we have 25 hours in 5 dyas is the equals to 5. While, 8 hours in 2 days is equals to 4.

Here, is a difference of 1 in 5 and 4.

Apply the distributive property to factor out the greatest common factor.
6+30=6+30=6, plus, 30, equals

Answers

Answer:

so 6+30=36

we can use the distributive property

36-6=30

36-30=6

Hope This Helps!!!

Keegan deposited $700 into his bank account. After one year, his bank account balance was $761.60. What interest rate did he earn?

Answers

Answer:

8.8%

Step-by-step explanation:

We first divide the new amount by the original and close it with brackets.

Our one year will be shown as 1/1 as an indices

(761.60/700)^1/1

= 1.088

We then convert it to 0.088 and times it by 100.

0.088×100= 8.8% Compound interest rate.

This is correct as:

700×1.088= 761.6

Have a nice day! :)

Find an equation of the line passing through the
point (6,5) and perpendicular to the line whose
equation is 2y + 3x = 6.

Answers

Answer:

In slope-intercept form:

[tex]\displaystyle y=\frac{2}{3}x+1[/tex]

Or, in standard form:

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

Step-by-step explanation:

We want to find the equation of the line that passes through the point (6, 5) and is perpendicular to the line whose equation is:

[tex]2y+3x=6[/tex]

Since the new line is perpendicular, its slope and the slope of the first equation will be negative reciprocals of each other.

So, find the slope of the first equation. Subtract 3x from both sides:

[tex]2y=-3x+6[/tex]

And divide both sides by two:

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

So, the slope of the first equation is -3/2.

The slope of the new line is its negative reciprocal. So, the slope of the perpendicular line is 2/3.

Next, we also know that it passes through the piont (6, 5). We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

Substitute:

[tex]\displaystyle y-(5)=\frac{2}{3}\left(x-6\right)[/tex]

And we have our equation!

If desired, we can simplify it into slope-intercept form:

[tex]\displaystyle \begin{aligned} y-5&=\frac{2}{3}x-4\\\\y&=\frac{2}{3}x+1\end{aligned}[/tex]

Or, into standard form:

[tex]\displaystyle \begin{aligned} y&=\frac{2}{3}x+1\\\\3y&=2x+3\\\\ 2x-3y&=-3\end{aligned}[/tex]

Helppp me please asapppp

Answers

Answer:

y=-2/7x-2

Step-by-step explanation:

Just move the 2x to the other side, then divide both sides by 7.

On the coordinate plane, MNO has vertices M(4,4), N(5,-7) and O(-6,-6). What is the perimeter of MNO? If necessary, round your answer to the nearest tenth

Answers

Answer:

The perimeter is 36.2 units.

Step-by-step explanation:

M (4,4), N (5,-7) and O (-6,-6)

The distance formula is

[tex]d =\sqrt{(x''-x')^2 + (y''-y')^2}\\\\MN =\sqrt{(5 -4)^2 + (- 7 - 4)^2}\\\\MN = 11.05 \\\\MO =\sqrt{(-6 -4)^2 + (- 6 - 4)^2}\\\\MO = 14.14\\\\ON =\sqrt{(-6-5)^2 + (- 6 + 7)^2}\\\\ON = 11.05[/tex]

The perimeter is given by

P = MN + NO + MO

P  = 11.05 + 14.14 + 11.05 = 36.24 units  

help me with this please. classify the following triangle
A.right
B.isosceles
C.equilateral
D. abtuse
E.acute
F.scalene​

Answers

Answer:

isosceles triangle

Step-by-step explanation:

Answer:

A, B, and, D

Step-by-step explanation:

I'm not 100% sure but i'm pretty sure these are it.

Hope thus helps!


2. A carpenter wants to cut a wood board that is feet long
d on
5
into pieces that are feet long. How many whole pieces
can be cut from the board? How much wood is left over
16

Answers

Answer:

2 whole pieces

5/24 feet left

Step-by-step explanation:

divide 5/6 by 5/16 = 2 2/3 pieces

so there are 2 whole pieces and 2/3 small piece.

The 2/3 small short equals to 5/16 x 2/3 = 5/24 ft

Which of the following sets of numbers could not represent the three sides of a right triangle?

Answers

Answer:

25, 32, 40 can not form a right angle triangle.

Step-by-step explanation:

By Pythagoras theorem,

⇒ (40)² = (25)² + (32)²

⇒ 1600 = 625 + 1024

⇒ 1600 ≠ 1689

find the value of x, y, v and w​

Answers

Now,

x + 35° = 180° ( Co - interior angle )

x = 145°

Then,

y = x = 145° ( Vertically Opposite angle )

Again,

v + 43° = 180° ( Co - interior angle )

v = 137°

Then,

v + w = 180° (Co - interior angle )

137° + w = 180°

w = 180° - 137°

w = 43°

I hope it's help you...

Mark me as brainliest...

Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l?

Answers

Answer:

The slope of the perpendicular line will 1/3.

Step-by-step explanation:

(2x6)3/4 using rational exponents

Answers

Answer:

the answer is 9 divided by 1

5.
The cube root for three hundred and forty three is
Punca kuasa tiga bagi tiga ratus empat puluh tiga adalah
A. 343
B. 73
C. 3433
D. 7​

Answers

D. 7

Hope this helps! :)

______________

Answer:

The cube root of 343 is 7.

10. Use the vertical line test to determine if the graph below
represents a function. If it is not a function, tell where the
vertical line test fails.

Answers

The graph is a function. When drawing a vertical line, there will be two circumstances:

The line intersects only one point on a graph. The line intersects more than one point on a graph ( POI > 1 )

For the first circumstance, the graph that has only one intersect with a line - it is a function. For the second circumstance, the graph cannot be a function as it gives more than one y-value for a single x-value.

The conclusion is that if a line only has one intersect on a graph then it is a function. Otherwise, not a function but a relation instead. All functions are relations, but not all relations can be functions.

Answer

The graph passes the vertical line test and is a function.

Graph the image of AUVW after a translation 11 units left and 3 units down.

Answers

The units are 6,2 and 2,10

Maria has made $28 selling bracelets at a craft fair. She spends $52 on supplies to make the bracelets. She sells each bracelet for $3. Which inequality can Maria use to find how many more bracelets she needs to sell to make more money than she spent on supplies. A. 3x + 52 < 28 B. 28x +3 >52 C. 3x + 28 < 52 D. 3x +28 > 52

Answers

Answer: D. 3x +28 > 52

Step-by-step explanation:

Based on the information given, the inequality that Maria can use to find how many more bracelets she needs to sell to make more money than she spent on supplies will be calculated thus:

With the question above, the total sales must be greater than the amount spent on supplies. Let the number of bracelets that needs to be sold be represented by x.

Therefore, (3 × x) + 28 > 52

= 3x + 28 > 52.

We can calculate further

3x > 52 - 28

3x > 24

x > 24/3

x > 8

Therefore, 9 or more bracelets needs to be sold since x is greater than 8.

Therefore, the correct option is D 3x +28 > 52

Answer:

D. 3x + 28 > 52

Step-by-step explanation:

3a + b - 2 = b thank you

Answers

Answer:

Get rid of b:

3a+b-2=b

3a-2=0

3a=2

A=2/3

Marcos decide abrir una cuenta de ahorro para financiar en el futuro los estudios de su hijo recien nacido. Por suerte, el banco le ofrecio la tasa de interes anual de 4,8%. El monto que deposito Marcos en la cuenta fue de $1000 000.Si no retira el dinero ni los intereses, ¿que capital tendra a los 5 años? ¿que capital tendra cuando su hijo cumpla 18 años?

Answers

Answer:

Resultados debajo

Step-by-step explanation:

Dada la siguiente información:

Tasa de interes anual (i)= 4,8%

Inversión inicial (VP)= $1.000.000

Para calcular el valor final (VF), debemos usar la siguiente formula:

VF= VP*(1 + i)^n

Para 5 años:

VF= 1.000.000*(1,048^5)

VF= $1.264.172,72

Para 18 años:

VF= 1.000.000*(1,048^18)

VF= $2.325.429,02

Which equation is a function of x?

Answers

Answer:

X=5

x=y2+9

x2=y

x2=y2+16

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

Sienna is determining the solution 6b + 12 = 102 A:15 B:17 C:90 D:102​

Answers

A.15
102-12=90
90/6=15

Which one could NOT be the probability of an event occuring?

A. 23
B. 3/4
C. 2.3
D. 0

Please help !!!

Answers

Answer:

D

Step-by-step explanation:

there is zero chance of it happening

The list shows the number of points Emma scored in eight basketball games.
5, 11, 9, 9, 4, 5, 6, 7
Find the mean.

Answers

Answer:

Mean = 7

Step-by-step explanation:

Given the following data;

Number of games = 8

Scores = 5, 11, 9, 9, 4, 5, 6, 7

We would sum all the scores together to get a total score.

Total scores = 5 + 11 + 9 + 9 + 4 + 5 + 6 + 7 = 56

Now, to find the mean;

[tex] Mean = \frac {total \; scores}{number \; of \; games} [/tex]

Mean = 56/8

Mean = 7

Answer:

7 is the mean score.

Step-by-step explanation:

Now we have to,

→ find the required mean score.

The given scores are,

→ 5, 11, 9, 9, 4, 5, 6, 7

→ Numbers = 8

Then the mean score will be,

→ (5 + 11 + 9 + 9 + 4 + 5 + 6 + 7)/8

→ 56/8 = 7

Hence, the mean score is 7.

What is the y-intercept of function f?

Answers

Answer:

B

Step-by-step explanation:

When x=1, we will use the second equation

-(1)+1 = 0

(4/5 - 1/10) + 2/3

PLSS URGENT

Answers

Answer:

41/30

Step-by-step explanation:

4/5 ---> 24/30

1/10 ---> 3/30

2/3 ---> 20/30

(24/30 - 3/30) + 20/30 =

21/30 + 20/30 =

41/30

a girl 65 marks out of 80. What percent mark did she have?​

Answers

Answer:

the marks obtained by a girl in percentage is 81. 25%

Answer:

81.25%

Step-by-step explanation:

100 (65/80)

Increase 14187.13 by 14.5

Answers

Answer:

14201.63

Step-by-step explanation:

14187.63

+   14.50

=14201.63

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