I WILL GIVE BRAINLIEST PLEASE HELP!!!
Find the inverse of the following function:
g(x)=1/x -2

I already know the answer is 1/x+2
I just need help on how to get to that answer
PLEASE SHOW ALL WORK!!!!

Answers

Answer 1

Answer:

Step-by-step explanation:

interchange x and y

y= 1/(x - 2)

x = 1 / (y - 2)      Multiply both sides by y - 2

x(y - 2) = 1          Remove the brackets

xy - 2x = 1          Add x to both sides

xy = 1 + 2x         Divide by x

y = (1 + 2x)/x

The brackets have been destroyed. The answer is as I've given it.

y = (1/x) + 2


Related Questions

let $p$ be the set of $42^{\text{nd}}$ roots of unity, and let $q$ be the set of $70^{\text{th}}$ roots of unity. what is the smallest positive integer $n$ for which all the elements in $p$ and all the elements in $q$ are $n^{\text{th}}$ roots of unity?

Answers

The smallest positive  integer \($n$\) for which all the elements i n\($p$\) and all the elements in \($q$\) are \($n^{\text{th}}$\) roots of unity is $70 \cdot 42 = 2940$.

The smallest positive integer \($n$\) for which all the elements in p  and all the elements in q are \($n^{\text{th}}$\) roots of unity can be determined by finding the least common multiple (LCM) of the two sets. The set p contains all \($42^{\text{nd}}$\)roots of unity and the set q contains all \($70^{\text{th}}$\) roots of unity. The LCM of 42 and 70 is 2940, so all elements in both sets are \($2940^{\text{th}}$\) roots of unity. This means that 2940 is the smallest positive integer for which all the elements in p and all the elements in q are \($n^{\text{th}}$\) roots of unity.

The LCM of 42 and 70 is found by listing the prime factors of each number and then taking the product of each factor the greatest number of times it occurs in either number.

42 = 2 x 3 x 7

70 = 2 x 5 x 7

LCM = 2 x 3 x 5 x 7 = 420

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1. find the interval of convergence for the following series. make sure to also check the endpoints when applicable. a) [infinity]x k=1 kkxk b) [infinity]x k=1 xk k! c) [infinity]x k=1 xk 7k√k

Answers

The interval of convergence of [infinity]x k=1 kkxk is [0, 1). The interval of convergence of  [infinity]x k=1 xk k! is (-infinity, infinity).  The interval of convergence of [infinity]x k=1 kkxk is [-1, 1).

For the series

∑ (k=1 to ∞) k^2 x^k

we can use the ratio test to find the interval of convergence:

lim as k approaches infinity of |(k+1)^2 x^(k+1) / (k^2 x^k)|

= lim as k approaches infinity of |(k+1)x / x| = lim as k approaches infinity of (k+1) = infinity

Therefore, the series diverges for all values of x when x is not zero.

To check the endpoints, we can test x=0 and x=1:

when x=0, the series clearly converges to 0.

when x=1, the series becomes

∑ (k=1 to ∞) k^2

which is a p-series with p=2, so it diverges.

Therefore, the interval of convergence  is [0, 1).

For the series

∑ (k=1 to ∞) x^k / k!

we can also use the ratio test:

lim as k approaches infinity of |x^(k+1) / (k+1)!| / |x^k / k!|

= lim as k approaches infinity of |x| / (k+1)

= 0 if |x| < infinity

= infinity if x = infinity

= undefined if x = -infinity

Therefore, the interval of convergence is (-infinity, infinity), which means the series converges for all x.

For the series

∑ (k=1 to ∞) x^k 7k√k

we can use the root test to find the interval of convergence:

lim as k approaches infinity of |x 7√k|^(1/k)

= |x| lim as k approaches infinity of (7√k)^(1/k)

= |x|

Therefore, the series converges when |x| < 1, and diverges when |x| > 1 or x= -1 or x=1.

To check the endpoints, we can test x=-1, x=1, and x=0:

when x=-1, the series becomes

∑ (k=1 to ∞) (-1)^k 7k√k

which does not converge, since the terms do not approach zero.

when x=1, the series becomes

∑ (k=1 to ∞) 7k√k

which also does not converge, since the terms do not approach zero.

when x=0, the series clearly converges to 0.

Therefore, the interval of convergence is [-1, 1).

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if the coefficient of determination is .94 what can we say about the relationship between two variable

Answers

94% of the total variation of the dependent variable is explained by the independent variable.

Coefficient of determination refers to the ratio showing the percentage of the variation in the model explained by the independent variables used to study the model.

Higher the value of R2, higher the explanatory power of the model.

In the given question, R2 = 0.94, implying 94% of the total variation in the model is explained by the independent variables.

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What is the difference of the polynomials?
(8r6s3 - 9r5s4 + 3r4s5) - (2r4s5 - 5r3s6 - 4r5s4)
8r6s3 - 5r5s4 + r4s5 + 5r3s6

Answers

The difference of the polynomials (8r^6s^3 - 9r^5s^4 + 3r^4s^5) - (2r^4s^5 - 5r^3s^6 - 4r^5s^4) simplifies to 8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6.

To find the difference of the given polynomials, we subtract the second polynomial from the first polynomial term by term.

(8r^6s^3 - 9r^5s^4 + 3r^4s^5) - (2r^4s^5 - 5r^3s^6 - 4r^5s^4)

Removing the parentheses and combining like terms, we get:

8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6

Therefore, the difference of the polynomials is 8r^6s^3 - 5r^5s^4 + r^4s^5 + 5r^3s^6. This is the simplified form of the polynomial expression obtained by subtracting the second polynomial from the first polynomial.

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The points T, U, V and W all lie on the same line segment, in that order, such that the ratio of TU:UV:VWTU:UV:VW is equal to 2:5:5.2:5:5. If TW=24,TW=24, find UV.UV.

Answers

Answer:

\(UV = 10\)

Step-by-step explanation:

Given

\(TU : UV : VW = 2 : 5 : 5\)

\(TW = 24\)

Required

Determine UV

From the given parameters, we have that:

Ratio of TU = 2

Ratio of UV = 5

Ratio of VW = 5

First, we have to add up the total ratio;

Total = Ratio of TU + Ratio of UV + Ratio of VW

\(Total = 2 + 5 + 5\)

\(Total = 12\)

Next is to calculate the length of UV; as follows;

\(UV = \frac{Ratio\ of\ UV}{Total\ Ratio} * TW\)

Substitute 5 for Ratio of UV;  12 for Total Ratio and 24 for TW

\(UV = \frac{5}{12} * 24\)

\(UV = \frac{5 * 24}{12}\)

\(UV = \frac{120}{12}\)

\(UV = 10\)

Hence; length of UV is 10 units

in general, ______________ are more problematic than ________________ because they can produce spurious relationships.

Answers

In general, observational studies are more problematic than randomized controlled trials because they can produce spurious relationships.

Observational studies rely on the natural variation in exposures and outcomes that occur in the population, without any intervention or manipulation by the researcher.

This can lead to confounding variables, which are factors that are associated with both the exposure and the outcome and can produce a false association between them.

Randomized controlled trials, on the other hand, assign participants to different exposure groups at random, which reduces the risk of confounding and allows for a more accurate assessment of causality.

Therefore, researchers must be cautious when interpreting observational studies and consider the potential for spurious relationships.

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1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
(a) Write down an expression for the perimeter of the rectangle, giving your
answer in its simplest form.
The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.

Answers

Step-by-step explanation:

perimeter=2(l+b)

check the picture for more clarification

1. The width of a rectangle is x centimeters and its length is (x + 5) cm. (x + 5) Diagram not drawn

What is the equation of a line in slope- intercept form that passes through the points (-2, 11) and (4, 14).

Answers

Answer:

y = (1/2)x + 12

Step-by-step explanation:

(-2, 11), (4, 14)

(x₁, y₁)  (x₂, y₂)

        y₂ - y₁        14 - 11             3             3            1

m = ------------ = ------------- = ----------- = --------- = -------

        x₂ - x₁          4 - (-2)       4 + 2          6           2

y - y₁ = m(x - x₁)

y - 11 = (1/2)(x - (-2))

y - 11 = (1/2)(x + 2)

y - 11 = (1/2)x + 1

  +11               +11

-------------------------------

y = (1/2)x + 12

I hope this helps!

help please RSM problem -need anwser please

help please RSM problem -need anwser please

Answers

Answer:

1/8 + 1/4 = 3/8

Step-by-step explanation:

Quadrilateral A has a side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 2. Draw a sketch of Quadrilateral A or make a chart.

Answers

Sides of Quadrilateral A is 6, 9, 9 and 12.

It is given that Quadrilateral B is a scaled copy of Quadrilateral A,

and have shortest side = 2

To find the length of sides of quadrilateral, first we will find the ratio of the shortest side of quadrilateral A to that of quadrilateral B as shown below :

B : A = 2 : 6 = 1 : 3

This shows that the quadrilateral B is 3 times smaller than A.

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find the value of k for which the roots of the quadratic equation 5x-10x+k=0 are real and equal

Answers

The roots of the given equation is real and equal.

Given , 5\(x^{2} \\\) - 10x+ k=0

The quadratic equation is b² - 4ac = 0

Here, a= 5, b= -10, c= k

substitute in b² - 4ac = 0

(-10)² - 4 * 5* k =0

100 - 20k =0 , let this be equation (1)

100 = 20k

k = \(\frac{100}{20}\)

k = 5.

now, substitute  k= 5 in equation (1)

100 -20k = 0

100 - 20*5 = 0

100 - 100 = 0

Therefore, the given equation is real and equal .

The correct question is 5x² - 10x + k =0

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PLEASE HELP ASAP
For her phone service, Charmaine pays
a monthly fee of $14, and she pays an
additional $0.05 per minute of use. The
least she has been charged in a month is
$75.20. What are the possible numbers
of minutes she has used her phone in a
month?

Answers

1,224 minutes.

75.20 minus 14 = 61.2

61.2 / 1,224minutes

How do you find the area of a rhombus without diagonals?

Answers

The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

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help me plsss .__. ASAP will give brainliest

help me plsss .__. ASAP will give brainliest

Answers

A. 60$
B. 44$
C. 0.75x
Hope this helps

If m = 50, what is the value of the expression below?

0.44m + 23

A. 22
B. 45
C. 67
D. 117

SHOW YOUR WORK PLZSSSSSSSS

Answers

Answer:

B. is your answer dear

Step-by-step explanation:

0.44*50+23

22+23 = 45

hope you got it.

Find a particular solution to the nonhomogeneous differential equation y'' +4y' 5y = -5x + 5e^-x. y_p =) x+ (e^x)/2-4/5 help (formulas) Find the most general solution to the associated homogeneous differential equation. Use c_1 and c_2 in your answer to denote arbitrary Constants, and enter them as C1 and C2.) y_h = e^(-2x)(c1cos (x)+c2sin (x)) help formulas Find the most general solution to the original nonhomogeneous differential equation. Use c_1 and c_2 in your answer to denote arbitrary constants. y = e^(-2x)(c1cos (x)+C2sin (x)) +x+(e^x)/2-4/5 help (formulas)

Answers

The particular solution to the nonhomogeneous differential equation is given by \(yp(x) = x + (e^x)/2 - 4/5\). The most general solution to the associated homogeneous differential equation is \(yh(x) = e^{(-2x)}(c1cos(x) + c2sin(x))\) . Combining the particular solution and the homogeneous solution, the most general solution to the original nonhomogeneous differential equation is \(y(x) = e^{(-2x)}(c1cos(x) + c2sin(x)) + x + (e^x)/2 - 4/5\).

To find the particular solution, we use the method of undetermined coefficients. The particular solution yp(x) contains two parts: a linear term (-5x) and an exponential term \((5e^{-x})\). Since the homogeneous equation has solutions involving exponential functions, we need to use a polynomial of degree one for the linear term and an exponential function for the exponential term. Hence, we choose \(yp(x) = Ax + Be^{-x\) and solve for the coefficients A and B by substituting this solution into the original nonhomogeneous equation. Solving for A and B, we obtain A = 1 and B = 1/2. Thus, \(yp(x) = x + (e^x)/2 - 4/5\).

For the associated homogeneous differential equation, we assume a solution of the form \(yh(x) = e^{(-2x)}(c1cos(x) + c2sin(x))\). By substituting this into the homogeneous equation, we find that it satisfies the equation for any values of c1 and c2. Therefore, \(yh(x) = e^{(-2x)}(c1cos(x) + c2sin(x))\)represents the most general solution to the associated homogeneous equation.

To obtain the most general solution to the original nonhomogeneous equation, we add the particular solution yp(x) to the homogeneous solution yh(x). Hence,\(y(x) = yh(x) + yp(x) = e^{(-2x)}(c1cos(x) + c2sin(x)) + x + (e^x)/2 - 4/5\), where c1 and c2 are arbitrary constants representing the coefficients of the homogeneous solution.

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Show the calculating process by the restoring-division
algorithm for the following division case:
Divisor 00011
Dividend 1011

Answers

The quotient is 1111. The process continues until the result is less than the divisor.

To perform the division using the restoring-division algorithm with the given divisor and dividend, follow these steps:

Step 1: Initialize the dividend and divisor

Divisor: 00011

Dividend: 1011

Step 2: Append zeros to the dividend

Divisor: 00011

Dividend: 101100

Step 3: Determine the initial guess for the quotient

Since the first two bits of the dividend (10) are greater than the divisor (00), we can guess that the quotient bit is 1.

Step 4: Subtract the divisor from the dividend

101100 - 00011 = 101001

Step 5: Determine the next quotient bit

Since the first two bits of the result (1010) are still greater than the divisor (00011), we guess that the next quotient bit is 1.

Step 6: Subtract the divisor from the result

101001 - 00011 = 100110

Step 7: Repeat steps 5 and 6 until the result is less than the divisor

Since the first two bits of the new result (1001) are still greater than the divisor (00011), we guess that the next quotient bit is 1.

100110 - 00011 = 100011

Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.

100011 - 00011 = 100001

Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.

100001 - 00011 = 011111

Since the first two bits of the new result (0111) are less than the divisor (00011), we guess that the next quotient bit is 0.

011111 - 00000 = 011111

Step 8: Remove the extra zeros from the result

Result: 1111

Therefore, the quotient is 1111.

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students are conducting an experiment to determine if the amount of sunlight affects the size of clover leaves. they plant clover in two identical pots, placing one next to a window and one inside a cupboard. they water each pot daily with 10 ml of water. which is the independent variable?

Answers

In the experiment, the independent variable is the amount of sunlight received by the clover plants.

The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.

The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.

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Plz help ;-; I think its B...

Plz help ;-; I think its B...

Answers

Answer:

its C it has 4

Step-by-step explanation:

Answer:

C 4

Step-by-step explanation:

if you want to find the symmetry, you have to divide the total number with 2. So if there 8 petal divide by 2 and there are 4 lines of symmetry

Given: ∠A and ∠B are supplementary angles.

m∠A=4x−16; m∠B=2x+4

Prove: m∠B=68°



Drag and drop reasons into the boxes to correctly complete the proof.Given: ∠A and ∠B are supplementary angles.

m∠A=4x−16; m∠B=2x+4

Prove: m∠B=68°



Drag and drop reasons into the boxes to correctly complete the proof.

Given: A and B are supplementary angles. mA=4x16; mB=2x+4Prove: mB=68Drag and drop reasons into the boxes

Answers

Answer:

Step-by-step explanation:

Statements                                               Reasons

∠A and ∠B are supplementary                Given

m∠A = (4x - 16), m∠B = (2x + 4)                Given

m∠A + m∠B = 180°                                  Definition of supplementary angles

4x - 16 + 2x + 4 = 180°                              Substitution property of equality

6x - 16 + 4 = 180                                       Simplify

6x - 12 = 180                                             Simplify

6x = 192                                                    Addition property of equality

x = 32                                                        Division property of equality

m∠B = 2(32) + 4                                       Substitution property of equality

m∠B = 64 + 4                                           Simplify

m∠B = 68°                                                Simplify        

for each sequence find the first 4 terms and the 10th term
a)10-n

b)6-2n

Answers

a) The first 4 terms of the sequence 10-n are:

- n=1: 10-1=9

- n=2: 10-2=8

- n=3: 10-3=7

- n=4: 10-4=6

The 10th term of the sequence 10-n is:

- n=10: 10-10=0

b) The first 4 terms of the sequence 6-2n are:

- n=1: 6-2(1)=4

- n=2: 6-2(2)=2

- n=3: 6-2(3)=0

- n=4: 6-2(4)=-2

The 10th term of the sequence 6-2n is:

- n=10: 6-2(10)=-14

what is the largest positive integer n for which there is a unique integer k such that 8 15 < n n k < 7 13 ?

Answers

the largest positive integer n\(\leq\)112 for which there is a unique integer k

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

Given inequality is

\(\frac{15}{8} < \frac{n+k}{k} < \frac{13}{7}\)

\(\frac{8}{15} < \frac{n}{n+k} < \frac{7}{13}\)

\(n\frac{6}{7} < k < n\frac{7}{8}\)

\(n\frac{7}{8}-n\frac{6}{7}\) > 2

n\(\leq\)112

Hence, the largest positive integer n\(\leq\)112 for which there is a unique integer k

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Long division:
(2x² - 5x - 3) ÷ (x - 3)

Answers

Answer:

x*(2x-5)÷x - 3

Step-by-step explanation:

==>(2x² - 5x - 3) ÷ (x - 3)

==>x*(2x-5)÷x - 3

==>Done

Suppose we estimate the following regression: yt = β1 + β2x2t +
β3x3t + ut. Suppose the variance of ut is related to a known
variable zt as follows: Var(ut) = σ^2(zt). How would you transform
the

Answers

To transform the regression equation, you would divide both sides of the equation by the square root of Var(ut), which is σ√(zt). This transformation helps in obtaining the transformed regression coefficients and standard errors that account for the heteroscedasticity in the error term.

When the variance of the error term (ut) is related to a known variable (zt), it implies the presence of heteroscedasticity in the regression model. Heteroscedasticity means that the variability of the error term is not constant across different levels of the independent variables.

To address this issue, we can transform the regression equation by dividing both sides by the square root of the variance of the error term, which is σ√(zt). This transformation is known as the weighted least squares (WLS) estimation.

By dividing both sides of the equation, we can obtain the transformed regression equation with the error term divided by its standard deviation. This transformation accounts for the heteroscedasticity by giving different weights to the observations based on the variability of the error term. It allows for a more appropriate estimation of the regression coefficients and standard errors, as it gives more weight to observations with smaller error variances and less weight to observations with larger error variances.

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Angle C is inscribed in circle O.
AB is a diameter of circle O.
What is the measure of A?

Angle C is inscribed in circle O.AB is a diameter of circle O.What is the measure of A?

Answers

The measure of <A = 53 degrees

How to determine the measure

To determine the measure of the angle, we need to know the following;

The sum of the interior angles of a triangle is equal to 180 degreesThe diameter of a circle is twice its radiusAngle on a straight line is equal to 180 degreesComplementary angles are pair of angles that sum up to 90 degreesSupplementary angles are pair of angles that sum up to 180 degrees

From the information given, we have that;

AB is a diameter of circle O.

Bute m<B = 37 degrees

Then, we can say that;

<A + <B + <C = 180

<A + 90 + 37 = 180

collect the like terms, we have;

<A = 53 degrees

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Working alone, it takes Kristen 10.2 hours to harvest a field. Kayla can harvest the same field in 16.5 hours. Find how long it would take them if they worked together.

Answers

ANSWER:

13.35 hours

EXPLANATION:

Given:

Time Kristen takes to harvest = 10.2 hours

Time Kayla takes to harvest = 16. 5 hours

Let X represent the time it would take them to work together.

Here, to find the time it would take them if they worked together, let's find their mean time, using the formula below:

\(X\text{ = }\frac{Time\text{ taken by kristen + Time taken by Kayla}}{2}\)

\(\begin{gathered} X\text{ = }\frac{10.2\text{ + 16.5}}{2} \\ \\ X\text{ = }\frac{26.7}{2} \\ \\ X\text{ = }13.35\text{ hours} \end{gathered}\)

It would take them 13.35 hours if they worked together.

Need help with this

“Use the law of Cosines to find the missing side length. Set up and SHOW YOUR WORK”

1: 38km

2:48km

3:41km

4:46km

Need help with this Use the law of Cosines to find the missing side length. Set up and SHOW YOUR WORK

Answers

Answer:

law of cosines states c^2=a^2+b^2-2abc

b^2=26^2+24^2-2(26×24)cos 134°

b^2=676+576-1248cos134°

cos134= -0.6946

b^2=1252-12(-0.6946)

12×(-0.6946)= -8.3352

b^2=1252-(-8.3352)

b^2=1252+8.3352

b^2=1260.33

b=√1260.33

b=35.50

7. The length of a rectangular swimming pool is 28 feet and the perimete
is 84 feet. What is the area of the swimming pool? *

Answers

The area is 364 because the perimeter is 84 feet, the sides are 28 times two witch it 56 and 84-56 is 26 so the other sides are 13 and 13 times 28 is 364

5. 37°. If maN = (13x)° what is the value of x and the maN?

5. 37. If maN = (13x) what is the value of x and the maN?

Answers

The value of x is approximately 2.8462° and the value of maN is 37°.



To find the value of x and maN, we need to use the given information. According to the question, maN is equal to (13x)°.
To solve for x, we can set up an equation:
maN = (13x)°
Now, since we know that maN is equal to 37°, we can substitute this value into the equation:
37° = (13x)°
To isolate x, we divide both sides of the equation by 13:
37° / 13 = (13x)° / 13
This simplifies to:
2.8462° ≈ x°
Therefore, the value of x is approximately 2.8462°.
Now, let's find the value of maN. We already know that maN is equal to (13x)°. Substituting the value of x that we just found, we get:
maN = (13 * 2.8462)°
Simplifying the multiplication:
maN = 37°
So, the value of maN is 37°.
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Answers

Answer:

Let m = Number of months

Company A: 60+ 42.95 m

Company B: 25+49.95 m

60+ 42.95 m= 25+49.95 m

Subtract 42.95 from both sides

60 = 25 + 7m

Subtract 25 from both sides

35= 7m

Divide both sides by 7

m = 5

OAmalOHopeO

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