Please help me with this

Please Help Me With This

Answers

Answer 1

Answer:

b.   [tex] f^{-1}(x) = x^3 - 2 [/tex]

Step-by-step explanation:

[tex] f(x) = \sqrt[3]{x + 2} [/tex]

[tex] y = \sqrt[3]{x + 2} [/tex]

[tex] x = \sqrt[3]{y + 2} [/tex]

[tex] (x)^3 = (\sqrt[3]{y + 2}^3 [/tex]

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

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

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

Answer: b.   [tex] f^{-1}(x) = x^3 - 2 [/tex]


Related Questions

The table represents the relationship between a length measured in meters and the same length measured in kilometers.

1. Complete the table.

Type the answers in the boxes below.

meters kilometers
1,000 1
3,500
500
75
1
x


2. Write an equation for converting the number of meters to kilometers. Use x for number of meters and y for number of kilometers.

Type the answer in the box below.

Answers

Answer:

Q1 1000     1

    3500    3.5

   500       .5

   75   .075

   1        .001

   x       1/1000x or .001x        Q2    Y=  1/1000x

Step-by-step explanation:

just search up 1000 meters to 1 kilometer and go from there :)  

Given kite ABCD  with  AD=AB,  AO=3, and BD=8. Find AD.


This is to find the missing side with Vertex angles of Kite ∠A and ∠C, non-vertex angles are ∠D & ∠B, Main Diagonal bisects ∠A and ∠C and cross diagonal bisects ∠D and ∠B. Please help me find side AD

Answers

Answer:

AD = 5

Step-by-step explanation:

Given:

A kite ABCD with following dimensions:

AD = AB

AO = 3 and

BD = 8

To find:

AD = ?

Solution:

Kindly refer to the attached image for the figure of given dimensions.

In a kite, the following properties hold true:

1. The diagonals of a kite are perpendicular to each other.

2. The longer diagonal(along the vertex angles) bisects the shorter one.

Using above properties:

Looking at the [tex]\triangle AOD:[/tex]

[tex]\angle AOD=90^\circ[/tex]

AO = 3

OD = 4

We know that, Pythagoras theorem hold true in every right angled triangle.

According to Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

[tex]AD^{2} = 4^{2} + 3^{2}\\\Rightarrow AD = \bold{5}[/tex]

The value of AD should be 5.

Calculation of the value of AD:

Since kite ABCD  with  AD=AB,  AO=3, and BD=8

Here angle AOD = 90 degrees

And, AO = 3 and OD = 4

So, here we use the Pythagorean theorem

[tex]= \sqrt 3^2 + 4^2\\\\= \sqrt{9 + 16} \\\\ = \sqrt{25}[/tex]

= 5

Hence, The value of AD should be 5.

Learn more about angle here: https://brainly.com/question/21103473

Find the surface area of this rectangular solid.
7cm 5cm 4cm

A. 138
B. 166
C. 168
D. 16
E. 140​

Answers

E:The answer is 140 because seven times five times four equals 140.

Are the given
equations parallel,
perpendicular, or
neither?
y = 3x + 5
y = 3x - 7

Answers

Answer:

parallel

Step-by-step explanation:

They have the same slope, just different y-intercepts. The two lines never cross, making them parallel.

Given the following sequence: {x. 3x, 5x, 7x, 9x .... ). what will the value of
the TENTH term be?

Answers

Answer:

The tenth trem will be 21x considering 3x as one 1 + 10x2=21

Solve for 50 points and brainliest!

10-3-7+18=

6-3-2+13=

Answers

Answer:

10-3=7

7-7=0

0+18=18

6-3=3

3-2=1

1+13=14

Step-by-step explanation:

Answer:1. 18

2. 14

Step-by-step explanation:

Find the quotient of 1 1/5 and 3 4/5

Answers

Answer:

0.2 and 0.8

Step-by-step explanation:

Which relation represents a function?
StartSet (0, 0), (2, 3), (2, 5), (6, 6) EndSet
StartSet (3, 5), (8, 4), (10, 11), (10, 6) EndSet
StartSet (negative 2, 2), (0, 2), (7, 2), (11, 2) EndSet
StartSet (13, 2), (13, 3), (13, 4), (13, 5) EndSet



A
B
C
D

Answers

Answer: Choice C{ (-2,2), (0,2), (7,2), (11,2) }

Here we don't have any repeated x values.

In choice A, x = 2 repeats. In other words, x = 2 leads to multiple y outputs. So this is not a function. Choices B and D are similar stories. A function is only possible if every x leads to exactly one y value only. The graph must pass the vertical line test.

Side note: the y values can repeat, but the function won't be one-to-one.

what is the 9th term in the sequence -1, 4, -9, 16, -25,...?​

Answers

Answer:

-81

Step-by-step explanation:

looks like they're doing perfect squares inversed..

so it'd go from -1,4,-9,16,-25,36,-49,64,-81

The answer above is correct my dude!

Find all whole values for y for which the double inequality is true: -5

Answers

Answer:

The values of y for which the inequality is true are;

-4,-3,-2,-1,1,0,1

Step-by-step explanation:

Here, we want to give all the values of y for which the given inequality is true

We have the inequality as;

-5 < y < 2

This can be read as -5 is less than 5 which is less than 2

This means that the correct y-values lie between -5 and 2 which are not inclusive

So the correct values of y in this case are;

-4,-3, -2, -1 , 0, 1

Which expression is equivalent to 6a + 15?

6(a + 5)
3(2a + 5)
3(3a + 12)
6(a + 12)

Answers

The answer is going to be 3(2a+5)


Explanation:

6(a+b) = 6a +30 (it is not equivalent to 6a+15)

You have to multiply what’s in the brackets by 6

3(2a+5) = 6a+15 ( it is equivalent )


3 (3a+12) = 9a+36 (not equivalent)


6(a+12) = 6a+12 (not equivalent)

I hope this helps:))

1+1+2+3+4+5+6+7+8+9=?

Answers

Answer:

The answer is 46

Step-by-step explanation:

Self explanatory i just added them together

hope i helped :D

Write an equation in standard form of the line that passes through (4,−1) and has the slope m=3.

Answers

Answer :

m = 3

Point = (4,-1)

x1 = 4

y1 = -1

Formula =

y - y1 = m (x-x1)

y - (-1) = 3 (x -4)

y + 1 = 3x -12

y - 3x + 1 + 12 = 0

y - 3x + 13 = 0

The line = y - 3x + 13 = 0 or -3x + y + 13 = 0

I'm sorry if I'm wrong.

Cmiiw

Good luck

Love from Indonesia

y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

m=3

We need to find slope intercept form, for this we should know the y intercept with slope m =3 and point (4,-1)

-1=3(4)+b

-1=12+b

-1-12=b

b=-13

y intercept is -13

Hence, y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.

To learn more on slope of line click:

https://brainly.com/question/14511992

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Evaluate 0.1m + 8- 12n when m=30 and n = 1/4 answer

Answers

Answer:

8

Step-by-step explanation:

Original equation:

0.1m + 8 - 12n

Plug in the values of m and n

0.1(30) + 8 - 12(0.25)

Multiply.

0.1 x 30 = 3

3 + 8 - 12(0.25)

Multiply.

-12 x 0.25 = -3

3 + 8 - 3

Add.

3 + 8 = 11

11 - 3

Subtract.

11 - 3 = 8

Hope I helped :)

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Kiaya has to have at least $100 in her checking account to avoid a fee from the bank. She has $376 in her account now. Each week, she makes a $25 withdrawal. For how many weeks can she make this withdrawal and avoid a fee?

Answers

Answer:

11 weeks

Step-by-step explanation:

Kiaya has $376 but can only withdraw $276 before being charged by the bank.

First I subtracted the $100 she can't spend from $376.

-She has a total of $276 she can spend without being charged.

Next, I divided $276 by $25 (the amount she withdraws every week)

- The total is 11.04

This means she has 11 Weeks before she will have to pay the fee.

Hope I helped you out!! :)

What percentage of 80 is 67

Answers

Answer:

83.75%

Step-by-step explanation:

67/80 = 83.75%

multiply (3-6i)^2 write in standard form

Answers

-27-36i .................................................................... not sure

The result of (3 - 6i)² will be -27 -36i .

Given,

(3 - 6i)²

Now,

The multiplication is of complex number .

So,

(3-6i)(3 - 6i)

So,

Multiply the terms ,

9 - 18i - 18i -36

Simplifying further,

-27 - 36i

Thus the resultant will be  -27 -36i  .

Know more about complex numbers,

https://brainly.com/question/30612470

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Which is better to buy 4.20 for 6 cans or 8.00 for 10 cans

Answers

Answer:

4.20 for 6 cans is better

Step-by-step explanation:

4.20 / 6 = 0.70 per can  

8.00 / 10 = 0.80 per can

0.70 per can is cheaper/less expensive than 0.80 per can.

Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.

y= 1/3 x− 2/3

Answers

Answer:

y-intercept = (0,-2/3)

x-intercept = (2,0)

Step-by-step explanation:

*X-intercept touches the x-axis & y-intercept touches the y-axis*

You can identify the y-intercept by looking at the equation.

The slope is 1/3x and the y-intercept is -2/3.

I'm not sure how to solve for the x-intercept, but you can make a graph with the y-intercept and the slope points. By doing this you should be able to find the x-intercept.

Hope this helped!!!  :)

PS: Check out the Desmos Graphing Calculator

This website helps a lot with these types of problems. You can type the equation, and it will show you a graph. If you look at the graph, you'll be able to determine the slope, the x-intercept, and the y-intercept.

Simplify: (1/3 - 2b)27

......................................

Answers

Answer:

9 -54b ________________

Simplify

8a-8b
a2-b2

Answers

Answer:

 -8a2b + 8a - b2

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (8a -  23a2b) -  b2

STEP  2 :

STEP  3 :

Pulling out like terms

3.1     Pull out like factors :

-8a2b + 8a - b2  =   -1 • (8a2b - 8a + b2)  

Trying to factor a multi variable polynomial :

3.2    Factoring    8a2b - 8a + b2  

Try to factor this multi-variable trinomial using trial and error  

Answer:

-8a^2b - b^2 + 8a

Have a nice day and stay safe. Pls rate me and like.

: )

I need help finding the slope, the y-intercept and the equation?

Answers

Answer:

y is (0,-2) thats all i know sorry

Step-by-step explanation:

The equation of line will be;

⇒ y = x + 2

And, The y - intercept will be 2.

What is Equation of line?

The equation of line with slope 'm' and y - intercept at point 'b' is given as;

⇒ y = mx + b

Given that;

The points on the graph are (0, 2) and (- 2, 0).

Now,

Since, The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Thus, The slope of the line with the points (0 , 2) and (-2, 0) is;

m = (0 - 2) / (- 2 - 0)

m = - 2/- 2

m = 1

So, The equation of line passing through the points (0 , 2) and (-2, 0) with slope 1 is defined as;

y - y₁ = m (x - x₁)

y - 2 = 1 (x - 0)

y - 2 = x

y = x + 2

Now, Compare with the equation y = mx + b, we get;

The y - intercept = 2

Thus, The equation of line will be;

⇒ y = x + 2

And, The y - intercept will be 2.

Learn more about the equation of line visit:

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the area of a trapezium is given by the formula A=1/2h(a+b), where h is the height and a and b are the measures of the two bases. what is the height of a trapezoid with an area of 24 square inches if the two bases measure 4 inches and 6 inches?

Answers

Answer:

[tex] h = 4.8 \: inches.[/tex]

Step-by-step explanation:

[tex]A= \frac{1}{2} h(a+b) \\ h(a + b) = 2A \\ h = \frac{2A}{(a+b)} = \frac{2 \times24 }{4 + 6} \\ h = \frac{48}{10} \\ h = 4.8 \: inches.[/tex]

Answer:

h=4.8

Given:

area=24 , a=4 , b=6

To find:

height

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex] × h(a+b)

24 = [tex]\frac{1}{2}[/tex] × h(4+6)

24 × 2 = h(10)

48 = 10h

48/10 = h

h=24/5

h=4.8

therefore, height of the trapezium is 4.8

hope it helps you!

A coordinate grid with 2 lines. The first line is labeled f(x) and passes through (negative 4, 3), (0, 3) and (4, 3). The second line is labeled g(x) and passes through the points (negative 2, negative 5), (0, negative 2), and (2, 1)

Determine the input value for which the statement

f(x) = g(x) is true.


From the graph, the input value is approximately (2) (2.5) (3.5) or (4)

.


f(x) = 3 and g(x) = 3/2x – 2


3 = 3/2x – 2


5 = 3/2x


The x-value at which the two functions’ values are equal is (2/3) (3/2) (5/3) or (10/3)

.

Answers

Answer:

3.5 and 10/3

Step-by-step explanation:

just took the quiz

Answer: C.) 3.5 and D.) 10/3

Step-by-step explanation: i hope this helps :)

i need help with this asap!homework is due tomorrow.

Answers

Heyyy!!

HERE'S YOUR ANSWER!

AB²+BC²=AC²

Answer:

If triangle ABC is a right angled triangle,right angled at C

AB²=AC² + BC²

Pls mark me brainliest

Step-by-step explanation:

You bike 16.2 miles in 1.8 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you​ travel?

Answers

Answer:

9x

Step-by-step explanation:

You have to subtract both of the numbers and simplify it.

Without working out the multiplication, which product is larger, why? 3 × 1/5 or 3 × 1/10

Answers

Answer:

The product that will be larger is 3x1/5

Step-by-step explanation:

So in order to know this we have to look at the fractions. We already know that 1/5 is larger than 1/10. To double check our work, we can convert these fractions into percents. 1/5 being 20% and 1/10 being 10%. So now that we have prooved 1/5 is larger, multiplying the larger fraction by three will give us a larger product.

Hope this helped ;)

Alecia placed the numbers 0, 2, 14, -8, and -11 on the number line. Which of the numbers is furthest from zero?

Answers

Answer:

14

Step-by-step explanation:

The distance between two asteroids was calculated at 37,500,000,000 kilometers. What is this value expressed in scientific notation?

Answers

I believe that the answer is 3.75x10^10

Solve the system of equations by substitution. x + y = 27 y = 8x​

Answers

Answer: x = 0, y = 0

Step-by-step explanation:

x + y = 27y = 8x

Consider the first equation. Subtract 27y from both sides.

x + y = -27y = 0

Combine y and -27y to get -26y

x - 26x = 0

Consider the second equation. Subtract 8x from both sides.

27y - 8x = 0

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for the variable in the other equation.

x - 26y = 0, -8x + 27y = 0

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

x - 26y = 0

Add 26y to both sides of the equation.

x = 26y

Substitute 26y for x in the order equation,

-8x + 27y = 0.

-8 x 26y + 27y = 0

Multiply -8 times 26y

-208y + 27y = 0

Add -208y to 27y

-181y = 0

Divide both sides by -181.

y = 0

Substitute 0 for y in x = 26y. Because the resulting equation contains only one variable, you can solve for x directly.

x = 0

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