If f (x) = 8(5x-2) find f -1 (x).

Answers

Answer 1

Step-by-step explanation:

f(x)=8(5x-2)

interchanging the role of x&y

x=8(5y-2)

x=40y-16x+16=401yy=(x+16)/40

f-1(x)=(x+16)/10

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Answer 2

The value of [tex]f^{-1}(x)[/tex] for the given function f(x) = 8(5x - 2) will be  [tex]f^{-1}(x)[/tex] =(x + 16)/40.

What is the inverse of a function?

A function's inverse can be thought of as a reverse of the function.

For instance, if y = f(x), then x = f will be the inverse (y).

It implies that we must swap x and y in the inverse function.

As per the given,

f(x)=8(5x-2)

Interchange the variable y and x as,

⇒ x = 8(5y - 2)

⇒ x+16=401y

⇒ y = (x+16)/40

Put y =  [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)[/tex] =(x + 16)/40

Hence "The value of [tex]f^{-1}(x)[/tex] for the given function f(x) = 8(5x - 2) will be  [tex]f^{-1}(x)[/tex] =(x + 16)/40".

For more information about the inverse of a function,

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Related Questions

Each bag of trail mix weighs 3/8 pound. The combined weight of a set of bags is 3 3/4 pounds How many bags are there?

Answers

Answer:

10

Step-by-step explanation:

3/ 8 is 0.375 while 15/4 is 3.75

so I divide 3.75 by 0.375 which is now 10 the answer is 10 bags

Answer:

22

Step-by-step explanation:

(33/4)÷(3/8)

=8.25/.375

=22

Please help with the mean, median and range, look at the picture!

Answers

Answer:

Mean: 39  Median: 32.5 Range: 62

Step-by-step explanation:

First, you organize the numbers from least to greatest, so 10  15  19  46  72  72. The median is the middle number, so the average of 19 and 46( 32.5). The Range is the largest number minus the smallest number, so 62. and the mean is all the numbers added up, then divided by the amount of numbers, so 234/6 or 39.

5. Identify the function that is even.
And why

Answers

Answer:

A

Step-by-step explanation:

Find the surface area of the square pyramid if the slant height is 13 mm.
A. 264 mm
B. 288 mm
C. 335 5 mm
D. 407 mm



Answers

Simple Question:

Find the surface area of the square pyramid if the slant height is 13 mm.

Options:

A. 264 mm

B. 288 mm

C. 335 5 mm

D. 407 mm

Answer:

A) 264mm

Step-by-step explanation:

11 x 13 = 143 = 264mm

Select the correct answer.
The daily high temperature of Elk Creek drops by 1.2°C every day. What is the net change in the daily high temperature after two calendar weeks?

Answers

Answer: the correct answer is 16.8°C.

Step-by-step explanation:

Answer:

-16.8

the number is in the negatives because the temperature is dropping

I hope this helps

NO LINKS URGENT Below is the graph of y = f(x) Graph y=-f(x)

Answers

Answer:

Answer is the graph below

Step-by-step explanation:

It is the green line by the way.

If this helps, please mark this as brainliest.

I AM GIVING OUT BRAINLIST
answer all those

Answers

Answer:

18.71  19  18.71

Step-by-step explanation:

Will every function have a hole? Why or why not?

Answers

Answer:

Step-by-step explanation:

yes

yes it will always have a function hole


You start at (0,0). You move up 7 units. Where do you end

Answers

Answer:

You end up at (0,7)

Step-by-step explanation:

You are moving upwards in the y-axis of a coordinate plane

Find a positive angle less than 2pi that is coterminal with 28pi/9

Answers

Answer:

o find a coterminal angle you add or subtract 2pi

 

-pi/100 + 2pi = -pi/100 + 200pi/100 = 199pi/100

Step-by-step explanation:

Your friend surveyed 100 people who took either vitamin C, zinc, or

Echinacea supplements to prevent getting a cold. The participants

were asked if they had a cold or no cold in the last 30 days.

no cold

cold

total

vitamin C

41

zinc

12

5

17

echinacea

21

total

26

100

What ratio of people in the survey took Echinacea?

Answers

Answer:

27 : 100

Step-by-step explanation:

Given :

__________ no cold ____ cold _____ total

Vitamin C ___ 41 ________ 15 ______ 56

Zinc _______ 12 _________5 ______ 17

Echinacea __ 21 _________ 6 ______ 27

Total ______ 74 _________ 26 ____ 100

The ratio of people who took Echinacea :

Number of people who took Echinacea : total number of people in the survey

From the TOTAL column:

Number of people who took Echinacea = 27

Total Number of people in survey = 100

Hence, ratio equals :

27 : 100

how long must the sides of an equilateral triangle be in order for the perimeter to be greater than 45m?

Answers

Answer:

Greater than 15.

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 3a

3a > 45

a > 15

A student received a coupon for 10% off the total purchase price at the clothing store. Let x be the original price of the purchase. Use the expression below for the new price of the purchase. Write an equivalent expression by combining like terms.

x - 0.1x =​

Answers

Answer:

All most there. buddy:-)

A random sample of the residents of two cities were asked whether they are right-handed or left-handed. The table summarizes the responses.
pls

Answers

Answer:

C

Step-by-step explanation:

Question 1 of 10
Solve the proportion below.
-X/45=7/9

x=
O A. 5
B. 39
C. 35
O D. 43

Answers

Answer:

B. 35


Explaining:

-X/45 = 7/9

7/9= 0.777777777777778

-X/45 = 0.777777777777778

45 x 0.777777777777778 = 35

-X = 35

plz help i will give brainliest

Answers

Answer:

x = 5

Step-by-step explanation:

If you have 19x, 7x, and 10x, they all have to be multiplied to equal 180 and be a real triangle. When all multiplied by 5, you can add up and it will equal 180.

Di cuantos ejos de simetria tiene un poligono regular segun su nombre de lados. Cuales elementos del poligono coresponden a ejos simetria?

Answers

Un polígono regular tiene simetría rotacional al girar cualquier múltiplo del ángulo central. El ángulo central es de 360 ​​grados dividido por el número de lados.
¡Espero que esto ayude!

Find the area for the given shape below.
4 ft
9 ft

Answers

Answer: I can’t see the shape

Step-by-step explanation:

but I still we help you if you are finding the area if a rectangle, you multiply the length by width. Like if the rectangle length is 7 and the width is 9 they you multiply it together which you get 63. If you are trying to find a area of a triangle then, duplicate the triangle and try to make a rectangle then caculate area of the rectangle and divide that area by two. Like this photo

hope this helps

100 POINTS!!!!!!!
Drag the tiles to match each measurement with an equivalent measurement.

measurement
6 pints ______________ for each line the answer is A.
16 pints ______________ B. C. or D. each answer is
8 fluid ounces ______________ used once.
8 pints ______________ A. 8 quarts B. 1 cup C. 1
gallon D. 12 cups

Answers

#1

1pint=2cups

6pints=6(2)=12cups

1-D

#2.

16pints=

16(2)=32cups=8quarts

#3

8fluid ounces=1gallon.

3(C)

Answer: #1

1pint=2cups

6pints=6(2)=12cups

1-D

#2.

16pints=

16(2)=32cups=8quarts

#3

8fluid ounces=1gallon.

3(C)

What two number add up to 6 multiply by 8

Answers

the answer is four and two

Find ​(a) PQ to the nearest tenth and ​(b) the coordinates of the midpoint of __ pq.

Answers

Answer:

a) 5units

b) (4.5, 4)

Step-by-step explanation:

Let the coordinate of P and Q be P(3, 2) and Q(6, 6)

PQ can be gotten using the distance formula;

PQ =√(6-2)²+(6-3)²

PQ = √4²+3²

PQ =√16+9

PQ =√25

PQ = 5units

Midpoint M is  expressed as;

M(X, Y) = {(x1+x2)/2, y1+y2/2}

X = x1+x2/2

X = 3+6/2

X= 9/2

X = 4.5

Similarly;

Y = y1+y2/2

Y = 2+6/2

Y = 8/2

Y = 4

Hence the midpoint of PQ is (4.5, 4)

easy algebra question below first correct answer gets brainliest

Answers

Given:

The right angle triangle with legs 4 units and 7 units.

To find:

The length of hypotenuse.

Solution:

Pythagoras theorem: In a right angle triangle,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

Let x be the length of the hypotenuse.

Using the Pythagoras theorem for the given triangle, we get

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

[tex]x^2=16+49[/tex]

[tex]x^2=65[/tex]

Taking square root on both sides, we get

[tex]x=\sqrt{65}[/tex]                [∵Side length cannot be  negative]

[tex]x\approx 8.06[/tex]

Therefore, the length of the missing side for the given right angle triangle is 8.06 units.

Anthony invested $1000 in a savings account at 2% simple interest. He invested the money for 4 years.

What is the total amount Anthony will have at 4 years?

Answers

Answer:

I dont know

Step-by-step explanation:

I really dont’ sorry

Will mark brainliest ***
FIND THE VOLUME OF THE SPHERE. Use 3.14 for pi. ROUND TO THE NEAREST
WHOLE NUMBER

Answers

Answer:

28716

Step-by-step explanation:

plz mark branliest

f(t)=t^2+19t+60
What are the zeros of the function and what is the vertex of the parabola?

Answers

Answer: [tex]-4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)[/tex]

Step-by-step explanation:

Given

Function is [tex]F(t)=t^2+19+60[/tex]

Zeroes of the function are

[tex]t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15[/tex]

Using completing the square method

[tex]y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)[/tex]

in quadrilateral ABCD shown the two diagonals AC and BD intersect at point E

Which of the following statements, along with the given information, is both necessary and sufficient to prove that ABCD is a parallelogram?
A) AC 1 BD
B) AB CE and BE DE
C) AB CD and BS CE
D)m ABC + m/BAD - 180

Answers

Answer:

your answer is B AB CE and BE DE

So mark me as brainliest

The statements that are necessary and sufficient to prove that ABCD is a parallelogram are, (B), (C) and (D).

What is a parallelogram?

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

From the properties of parallelograms the statements that are necessary and sufficient to prove that ABCD is a parallelogram are,

[tex]\overline{AE}[/tex] ≅ [tex]\overline{CE}[/tex] and [tex]\overline{BE}[/tex] ≅ [tex]\overline{DE}[/tex]  as diagonal of a parallelogram bisect each other.

[tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex] and [tex]\overline{BE}[/tex] ≅ [tex]\overline{CE}[/tex] opposite sides of a parallelogram are equal.

m∠ABC + m∠BAD is 180° as the sum of the adjacent sides in a parallelogram are supplementary.

learn more about parallelograms here :

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Penny and her cousins each have a different bank balance.what is the sum of all the accounts

Answers

Answer:

-2

Tell me if I'm wrong

Can someone plz help me no links plz I beg u I’m confused I would really appreciate it

Answers

Answer: A

Step-by-step explanation:

The maximum amount of weight the truck can carry is 1600lbs. You do not want to exceed 1600lbs, but you can reach 1600lbs. This makes the inequality symbol ≤. This symbol says that the weight load has to be less than 1600lbs, but It can equal 1600lbs. You know that the piano is 400lbs and each box is 50lbs. Since you want to figure out how many boxes you can put on the truck alongside the piano, you can use the inequality: 50x + 400 ≤ 1600.

50 represents pounds per/box

x represents the number of boxes you can hold

400 represents the weight of the piano

1600 represents the max weight.

What is the solution?
-4(3) - 3 = ?

Answers

-15


I hope it helps you :)

figure ABC has been dilated using a scale factor of 1/3 to produce figure A' B' C'. The origin is at the center of dilation ​

Answers

Answer:

A translation because it can map one angle onto another since dilation preserve angle measures of triangles.

Step-by-step explanation:

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