Please help me with number 7

9514 1404 393

Answer:

  [tex]f^{-1}(x)=\dfrac{\sqrt[3]{3x+12}}{3}[/tex]

Step-by-step explanation:

For function ...

  [tex]y=f(x)[/tex]

sometimes we know y, but we want to find the corresponding value x. That is, we would like to have an inverse function:

  [tex]x=f^{-1}(y)[/tex]

Here, I have said the input to the inverse function is the value of y for which we want the corresponding value of x.

__

Normally, we write the inverse function basically the same way we write the function. The input is named x, and the output is named y. We can swap the variable names for input and output either before or after we find the equation that relates them.

Perhaps you can see that finding the inverse function

  [tex]x=f^{-1}(y)[/tex]

amounts to solving the function relation y = f(x) for x. If we interchange variables first, it is the same as solving x = f(y) for y.

__

To find the inverse, we can interchange the variables and solve for y.

  [tex]x=f(y)=9y^3-4\\\\x+4=9y^3\qquad\text{add 4}\\\\\dfrac{x+4}{9}=y^3\qquad\text{divide by 9}\\\\\dfrac{3x+12}{27}=y^3\qquad\text{make the denominator a cube; multiply by 3}\\\\y=\dfrac{\sqrt[3]{3x+12}}{3}\qquad\text{take the cube root}\\\\\boxed{f^{-1}(x)=\dfrac{\sqrt[3]{3x+12}}{3}}[/tex]

_____

The graph of the inverse of a function is the reflection of the graph of the function across the line y=x. The given function and the inverse we found are graphed in the attachment. The dashed line is y=x.

Answer:

Eric's statement is false.

Step-by-step explanation:

When a positive and a negative number is added, pay attention to what number has a greater absolute value. If the positive number is greater, then the answer will be positive. In the negative number is greater, then the answer will be negative. For example, 23 + (-4) is going to end up as a positive sum, since 23 has a greater absolute value than -4. On the other hand, (-23) + 4 is going to end up as a negative number since -23 has a greater absolute value than 4.

Answer:  Y= 14

Step-by-step explanation: The screen shot is the anwser too just in case you have t show your work mark me  please  

I hope this helped!

Answer:

y=14

Step-by-step explanation:

8y-(8+6y)=20

8y - 8 - 6y = 20

2y - 8 = 20

2y = 20 + 8

2y = 28

y = 14

Answer:

R (Q) = 100Q - 4Q^2 , MR = 100 - 8Q , MR at Q (10) = 20

Step-by-step explanation:

Demand curve ie Price as a function of Quantity ; P (Q)  = 100 - 4Q

R, total revenue from sale = Q . P (Q)

R (Q) = (100 - 4Q) Q  

MR is addition to total revenue due to per unit change in sale, = d R / d Q

d ( 100Q - 4Q^2 ) / d Q  

MR at quantity , 10 unit of sales = 100 - 8 (10)

MR at Q (10) = 20

Answer:

H) SAS

Step-by-step explanation:

you would find the measure of angle MXQ and angle NXP using the vertical angles theorem which states that all vertical angles are congruent. now you have 2 sides and an included angle. hope this helps!!

Answer:

50÷20=2.5

12×2.5=30

so you can answer 30 questions in 12 minutes

i hope this helped

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

We want to solve the equations for x

-2.4x-3.6y = 1.2

2.4x + 1.2y = 1.2

Add the two equations

-2.4y = 2.4

y = 2.4/-2.4

y = -1

To get x, simply substitute the y-value into any of the equations;

2.4x + 1.2y = 1.2

2.4x + 1.2(-1) = 1.2

2.4x -1.2 = 1.2

2.4x = 1.2 + 1.2

2.4x = 2.4

x = 2.4/2.4

x = 1

Answer:

is x=1

Step-by-step explanation:

Volume = base area x height.

Volume = 98.9 x 8.6

Volume = 850.5 cubic meters.

Answer:

As we know that

[tex] \tt \: Volume = base \: area \times height[/tex]

[tex] \tt \: Volume = 98.9 \times 8.6[/tex]

[tex] \tt \: Volume = 850.5 \: cubic \: m[/tex]

Answer:

4.

Step-by-step explanation:

32.83 + 0.8 = 33.63

37.63 - 33.63 = 4.

Answer:

The answer is the 3rd option/C, 4

Step-by-step explanation:

ME SMART

Answer:

A

-1÷ 5 = -0.2

-0.2×4=-0.8 = -4/5

I hope that was helpful

Answer:        All whole numbers are rational numbers

HOPE IT HELPED U,

PLS MARK AS THE BRAINLIEST

^_^

Answer:

your answer is negative -4

Step-by-step explanation:

you can use a number line and go forward 12 times starting at -16.

-16+12=--4

brainliest please? have a geat day

Answer:

124457.29

Step-by-step explanation:

124457.287787 you have to go two jumps to the right of the decimal point

then you look at the number behind it and if it is 1-4 you round down and if the number is 5-9 you round up so then the answer would be 124457.29

Answer:

190

Step-by-step explanation:

1/8= 5 ft

19/4 = 38/8

38/8 = 38*5 = 190 feet

Answer:

y=5/2x-4

Step-by-step explanation:

Answer:

12 is the answer

Step-by-step explanation:

first r/r will cancel r

9/3*4 is left

simplifying 9/3 gives 3

hence answer is 3*4=12

plz mark brainliest

Answer:

[tex]9r \div 3r = (3r)4 = 12r [/tex]

Answer: -1 + or - root5

Step-by-step explanation:

The other zeros of function m(x) = x^3 + 3x^2 - 2x - 4 are x = 2, x = -2

To find the zero of a function f(x), we need to find the value of f(0).

"A trinomial is a polynomial consisting of three terms."

For given question,

Given function : m(x) = x^(3) + 3x^(2) - 2x - 4

We need to find the zeros of a function.

to find the value of x for which m(x) = 0

x^(3) + 3x^(2) - 2x - 4 = 0

We know, x = -1 is a zero of given function.

So, (x + 1) is the factor of given trinomial x^(3) + 3x^(2) - 2x - 4 = 0.

To factorize above trinomial we divide it by x + 1.

Using synthetic division,

m(x)/(x + 1)

= (x^(3) + 3x^(2) - 2x - 4)/(x + 1)

= x^(2) + 2x - 4

So, x^(3) + 3x^(2) - 2x - 4 = (x + 1)(x^(2) + 2x - 4)

Now, to find other zeros of a function we solve the quadratic equation x^(2) + 2x - 4 = 0

⇒ x^(2) + 4x - 2x - 4 = 0

⇒ x(x + 2) - 2(x + 2) = 0

⇒ (x + 2)(x - 2) = 0

⇒ x + 2 = 0 or x - 2 = 0

⇒ x = -2 or x = 2

This means, x = -2 and x = 2 are other zeros of a function.

Learn more about zero of a function:

https://brainly.com/question/4737570

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Answer:

They are.

Step-by-step explanation: The postulate is that all the adjacent angles and side lengths are equal between the triangle pairs. Congruency is if all side lengths and angles measure the same amount. In this case, the lines signify that they do.

Answer:

3x ^3  +4x^2  −2

Step-by-step explanation:

STEP

1

:  Equation at the end of step 1

 (((5•(x3))+(3•(x2)))+1)-((2x3-x2)+3)

STEP  2  Equation at the end of step

 (((5•(x3))+3x2)+1)-(2x3-x2+3)

STEP  3  :

Equation at the end of step

 ((5x3 +  3x2) +  1) -  (2x3 - x2 + 3)

STEP

4:

Polynomial Roots Calculator :

4.1    Find roots (zeroes) of :       F(x) = 3x3+4x2-2

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  3  and the Trailing Constant is  -2.

The factor(s) are:

of the Leading Coefficient :  1,3

of the Trailing Constant :  1 ,2

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -1.00      

     -1       3        -0.33        -1.67      

     -2       1        -2.00        -10.00      

     -2       3        -0.67        -1.11      

     1       1        1.00        5.00      

     1       3        0.33        -1.44      

     2       1        2.00        38.00      

     2       3        0.67        0.67    

Hope This Helps

Answer:

A. continuous compounding by 35 years

Answer:

6:7

Step-by-step explanation:

emma is not correct since the number of boys are 48 and the girls are56

ratio of boys to girls

48:56

24:28

12:14

6:7

hence the ratio is 6:7

Answer:

122/3435.35/67

Step-by-step explanation:

Answer:

I want to say 4, hope this is correct

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

A. proportional

Step-by-step explanation:

Answer:

B. Intersecting

Step-by-step explanation:

If you were to extend the lines, they would cross eachother

The given lines are intersecting.

When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.

As, from the figure we can see that the line p and q are not parallel to each other because the distance between them is not constant.

Now, the lines are not either skew or perpendicular.

If we extend the lines p and q then will meet at some point which is know as intersecting lines.

Learn more about intersecting lines here:

https://brainly.com/question/14217061

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Answer:get with your older brother

Step-by-step explanation:

Answer:

that doesnt make sense you can't like 2 people at the same time. dont waste your time. find better :)