If f(x) = (x³ + 25), find the inverse of f.

Answers

Answer 1

Answer:

y = ∛x - 25

Step-by-step explanation:

To find the inverse function, swap x and y , and solve the resulting equation for x.

If the initial function is not one-to-one, than there will be more than one inverse.

So, swap the variables: y = x³ + 25 becomes x = y³ + 25

Now solve the equation, x = y³  + 25 for y.

y = ∛x - 25


Related Questions

Calculate the side lengths using the given scale.
Someone please help me!!

Answers

Answer:

x = 12 cm

y = 2 cm

Step-by-step explanation:

Length is G are 3 times the lengths in H.

Lengths in H are 1/3 the lengths in G.

x = 3 × 4 cm = 12 cm

y = 6 cm / 3 = 2 cm

3a^2 X b/c divided by (3ab)^2

Answers

Answer: 1/3cb

Step-by-step explanation:

i hope this helps

Answer:

[tex] {Answer \: is \: }\frac{1}{3bc} [/tex]

Step-by-step explanation:

[tex]Divide \: 3 {a}^{2} \times \frac{b}{c} = 3 {ab}^{2} [/tex]

[tex] \frac{3 {a}^{2} \cdot \frac{b}{c}}{{(3ab)}^{2} } \\ \frac{3 {a}^{2}{b }}{{(3ab)}^{2}c} \\ \frac{3 {a}^{2} b}{9 {a}^{2} {b}^{2}c } \\ \frac{\not3 {a}^{2} b}{\not9 {a}^{2} {b}^{2}c } \\ \frac{ {a}^{2} b}{3 {a}^{2} {b}^{2}c } \\ \frac{ \not{a}^{2} b}{3 \not{a}^{2} {b}^{2}c } \\ \frac{\not{b}}{3 \not{b}^{2}c } \\ \frac {1}{3bc}[/tex]

[tex] {Answer \: is \: }\frac{1}{3bc} [/tex]

Thanks for joining brainly community!

Please help me on this question​

Answers

Answer:

V = £21,012.50

Step-by-step explanation:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of times periods elapsed

Given:

A = VP = £20,000r = 2.5% = 0.025n = 1t = 2

Substituting given values into the formula:

[tex]\sf \implies V=20000(1+\frac{0.025}{1})^{(1 \times 2)}[/tex]

[tex]\sf \implies V=21012.5[/tex]

Find the inverse of the function
f (x) = -8x + 9

Answers

Answer:

[tex]y=\frac{x-9}{-8}[/tex]

Step-by-step explanation:

1. change f(x) to y

2. switch x and y

[tex]x= -8y+9[/tex]

3. solve for y

[tex]x-9=-8y[/tex]

[tex]y= \frac{x-9}{-8}[/tex]

Answer: y = (9-x) / 8

Step-by-step explanation:

set f(x) = y

y = -8x + 9

to find inverse repalce all y values with x and x values with y then solve for y again

x = -8y + 9

x - 9 = -8y

y = (x-9) / -8

distribute -1 through the numerator and make 8 positive

y = -x+9/8

y = (9-x)/8

What is the value of "X"?

Answers

Answer:

6

Step-by-step explanation:

All triangles equal 180 degrees to this is what I did:

8x + 2 + 70 + 60 = 180

8x + 2 + 130 = 180

8x + 132 = 180

subtract 132 from each side

8x = 48

now divide each side by 8 to isolate the x

x = 6.

2.5 divided by 1.5 round to the nearest tenth

Answers

Answer:

1.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.5/2.5=15/25=0.6 no rounding necessary

Jasmine's credit card has a $2,000 balance that she carried over from last month. assuming her credit card charges an 18 percent annual interest rate, how much will her interest charges be this month?

Answers

Using simple interest, it is found that her interest charge this month will be of $30.

Simple Interest

Simple interest is used when there is a single compounding per time period.

The amount of interest after t years in is modeled by:

I(t) = Prt

In which:

P is the initial amount.r is the interest rate, as a decimal.

In this problem, considering the time in years, the parameters are:

[tex]P = 2000, r = 0.18, t = \frac{1}{12}[/tex]

Hence:

[tex]I(t) = 2000 \times 0.18 \times \frac{1}{12} = 30[/tex]

Her interest charge this month will be of $30.

More can be learned about simple interest at https://brainly.com/question/25296782

What is the polygon being Rotated to create the blue quilt block pattern

Answers

Parallelogram
Parallelograms have the tilt and 2 sets of parallel sides

As shown, to obtain the blue quilt block pattern, we have to rotate the parallelogram.

What is parallelogram?

A parallelogram is a quadrilateral consisting of pairs of parallel sides.

To obtain the blue quilt block pattern, we have to rotate the parallelogram. This rotation allows the parallelogram to take on a new orientation, and when it is positioned correctly, it creates the blue quilt block pattern. The process of rotating the parallelogram may seem simple, but it is a critical step in achieving the desired quilt design. It requires attention to detail and precision to ensure that the parallelogram is correctly rotated, and the resulting blue quilt block pattern is aligned correctly.

Moreover, the correct rotation of the parallelogram can significantly impact the overall appearance of the quilt, and even a slight misalignment can make a noticeable difference. Therefore, it is important to carefully follow the instructions to rotate the parallelogram to achieve the intended blue quilt block pattern.

Learn more about parallelograms here:

https://brainly.com/question/29147156

#SPJ5

3(−2−3x)=−9x−4 how many solutions

Answers

Answer:

there are no solutions

A mobile set after allowing a discount of 10% on its marked price, was sold at a gain of 20%,Had it been sold after allowing 20% discount,there would have been a profit Rs.350. Find the cost price and marked price of the mobile set.​

Answers

Answer:

Let x be the cost price.

Let y be the marked price

Gain = 20%

Then , sale price = 120/100 * x = 1.2x

Now , sale price is after 10% discount from marked price.

Hence , marked price, y = 1.2x/90 * 100 =

y * 0.9 = x * 1.2

Now, with 20% discount, sale price = y * 80/100 = 0.8y

Now, profit = 0.8y — x

Now, 0.8y — x = 350

0.8 * x * 1.2/0.9 — x = 350

1.0667x — x = 350

Hence, x = 350/0.0667= Rs.5250

Hence marked price = (5250 + 350) * 100/80 = Rs.7000

SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!

Answers

Answer:

7.093 cm

Step-by-step explanation:

[tex]4.5^2+x^2=8.4^2[/tex]

[tex]20.25+x^2=70.56[/tex]

[tex]x^2=50.31[/tex]

[tex]\sqrt{50.31}= 7.093[/tex]

Annie's squirt gun holds two tanks one tank holds 968 ML and the other tank holds 784 ML how many liters does the squirt gun hold in total

Answers

ayo

968ml + 784ml = 1752ml or 1.752Liter

Select all that apply.

The bar graph below represents the following table, but the graph has at least one mistake. Choose the statements that describe what is wrong with the graph.

Answers

Answer:

The labels are switched

The "cloudy" bar is the wrong length

The "party cloudy" bar is wrong length

I hope my answer helps you.

which recurring decimal is equivalent to the Fraction shown ? 9/11
equals a) 0.8 b) 0.18 c) 0.18 d) 0.18'​

Answers

Using a calculator would show that

[tex]9/11 = 0.818181\ldots = 0.\overline{81}[/tex]

The horizontal line over top means the "81" repeats forever.

You can use long division as an alternative method to getting the answer above.

(7-2)² - 5 / 5 I dont get the exponent part can someone help me with whole problem

Answers

(7-2)² - 5/5

Do the math in the parentheses first.

7 - 2 = 5

Now the equation should read

(5)² - 5/5     or just       5² - 5/5

Do the exponent(s).

5² = 25

25 - 5/5

Do the division.

5/5 = 1

25 - 1 = 24

Therefore, according to our equation, the answer is 24.

I hope this answered your question.

I also need help with these! It would mean a lot.

Answers

English please sorry

if ey/n + k = t, what is y in terms of e, n, k, and t?

1) y= tn+k/e

2) y= tn-k/e

3) y= n(t+k)/e

4) y= n(t-k)/e​

Answers

Answer:

option 4

Step-by-step explanation:

To write in terms of y

Step 1: subtract k from both sides

[tex]\sf \dfrac{ey}{n} + k - k = t -k\\\\\\\dfrac{ey}{n}=t-k[/tex]

Step 2: Multiply the entire equation by n

[tex]\sf n*\dfrac{ey}{n}=n*(t-k)\\\\\\ey=n(t-k)[/tex]

Step 3: Divide the entire equation by 'e'

[tex]\sf \dfrac{ey}{e}=\dfrac{n(t-k)}{e}\\\\\\\boxed{y =\dfrac{n(t-k)}{e}}[/tex]

marc had 6n marbles. he gave 9 marbles to each of his cousins and had 4n marbles left. find how many cousins marc had in terms of n.​

Answers

Answer:

9c=2n

Step-by-step explanation:

6n-9c=4n.

9c=2n

n = 9/2c, my bad for the wrong answer at first.

Find the slope and the y-intercept of the line.
Y=2-1/3x

Answers

Answer:-

Slope:- -1/3

y-intercept:-  2

Solution:-The equation of the line is written in slope-intercept form, which looks like this:- y=mx+b.In this formula, m stands for the slope, and b stands for the y-intercept of the line.In this case, the equation looks like this:- y=b+mxHowever, it does not matter. m is still the slope and b is still the y-intercept.Also, you should notice that the slope is the coefficient of x (the number next to x) and b is the constant (a number added/subtracted to/from the slope)Therefore, the slope of the line is equivalent to:--1/3And the y-intercept is equivalent to the following:-2

Hope it helps.

Do comment if you have any query.

Answer:

Slope: -1/3

Y-intercept: 2

Explanation:

The equation y = 2 - 1/3x is in slope-intercept form.

The format of slope intercept is y = mx + b, where m = slope and b = y-intercept.

The slope is the coefficient of x.

Hence, the slope of y = 2 - 1/3x is -1/3.

As for the y-intercept, that is the constant.

The constant in y = 2 - 1/3x is 2. Hence, the y-intercept is 2.

Volume of cylinders, spheres, and cones word problems
A graduated cylinder is filled with 367 cm3 of liquid. The liquid is poured into a different cylinder that has a
radius of 3 cm.
What will the height of the liquid be in the new cylinder?
cm

Answers

The problem is asking for the height of the fluid using the following information:

Volume of fluid
=
V
=
36
π
cm
3
Radius of new cylinder
=
r
=
3
cm


To start the solution, solve for the height
h
in the formula for the volume of a cylinder:

V
=
π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h
=
V
π
r
2
V =π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h =
V
π
r
2


Substituting the values of the volume and the radius, the height of the fluid is:

h
=
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=
4
π
cm
=
12.5663706144

12.6
cm
h =
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=4π cm =12.5663706144≈12.6 cm

Thus, the fluid reaches up to
12.6
cm
12.6
cm
in the new cylinder.

What is the radius and diameter of 13cm

Answers

Answer:

Radius = 6.5

diam = 13

Step-by-step explanation:

diameter is already stated

radius is half of the diameter

Solve the triangle. Round to the nearest tenth.
In AABC, c = 9, b = 25, mZA = 113°

Answers

Answer:

28.5

Step-by-step explanation:

If you can add brainliest

Please

Which number is rational?
Ov2
M
O 10
O 16

Answers

O √2

O π

O √10

✔ O √16

rational numbers are decimals, whole numbers, fractions.

√16 = 4  || which is whole number

π and √a for non whole numbers fall under irrational numbers
Square root 16 because it simplifies to four.
Root 16
= root 4x root 4
= 2x2
= 4 which is a rational number because it’s whole

Please help me I will give brainliest

Answers

Answer:

2,250 yd^3

Step-by-step explanation:

formula for pyramid is lwh/3

2,250 is the answer
Ik this cause I took the test

GIVEAWAY!!!
50PTS + BRAINLIEST

4(2x)−8x+4

Answers

Answer:

4(2x) - 8x + 4

4 × 2x = 8x

8x - 8x + 4

= 4

4(2x)-8x+48x-8x+4(8-8)x+40x+40+44

Done!

A rental car costs $15 a day plus 25 cents for each mile driven. Which
expression shows the cost to rent a car for 1 week and drive 200 miles?
A. (15.25 x 7) + 200
B. (0.25 x 7) + (15 x 200)
C. (15 x 7) + (0.25 x 200)
D. 15 + (0.25 x 200

Answers

The expression that shows the cost to rent a car for 1 week and drive 200 miles is (15 × 7) + (0.25 × 200)

The problem can be modelled to a linear equation.

Linear equation

Linear equation can be represented in slope intercept form as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

y = total cost of the rental

x = mile driven

Hence,

y = 0.25x + 15

Therefore, the expression that shows the cost to rent a car for 1 week and drive 200 miles is as follows:

(15 × 7) + (0.25 × 200)

learn more on linear equation here: https://brainly.com/question/1550434

What is the value of the expression? Show your work.

Answers

69420 would be the answer of this due to the sirvalsbejejeb big ol 69420

Answer:

343

Step-by-step explanation:

Given :

[tex]\frac{7^{12}*7^{9} }{(7^{6})^{3} }[/tex]

Numerator

7¹² × 7⁹7²¹

Denominator

(7⁶)³7¹⁸

Fraction

Numerator/Denominator7²¹/7¹⁸7³343

Choose the line plot that correctly shows this data about the growth of bean plants:
1/2,3/4,1/2,1/4,1/2,1/4,3/4,3/4,1/2

Answers

Answer:

It is the first one

Step-by-step explanation:

Hi, it is the first one because there is 4 - 1/2 3 - 3/4 and 2 - 1/4

Cora works as a plumber and earns $50 per house call, plus $18 for every hour of work. She billed a customer $104, but forgot how long she worked. To solve for the number of hours, she subtracted 50 from 104 and then divided by 18.

Answers

Answer:

Cora worked 3 hours

Step-by-step explanation:

104 = 18x + 50 ( x = # of hours worked)

54 = 18x   ( subtracted 50 from both sides)

3 = x    ( divided both sides by 18)

An isosceles right triangle has a hypotenuse of 16mm what would the area of the triangle be

Answers

Answer: 64 square mm

Step-by-step explanation:

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