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 WORK!!!!!

Answer:

0.0000012  = 1.2 x 10⁶ (that is the scientific notation)

Step-by-step explanation:

The decimal  moves 6 places to the right

The 6 then becomes the exponent in a* 10^b

And (a) must be a 10 > number > 1

b = number of places the decimal moves

Answer:

1.2 * 10 ^6

Step-by-step explanation:

0.0000012

Move the decimal  6 places to the right

The 6 becomes the exponent in

a* 10^b  a must be a number 1 or greater but less than 10

b is the the number of places the decimal moves (+ to the right, - to the left)

000001.2

Then the number becomes 1.2 * 10 ^6

Let be a 3×3 diagonalizable matrix whose eigenvalues are 1=1, 2=3, and 3=−4. If 1=[100],2=[110],3=[011] are eigenvectors of corresponding to 1, 2, and 3, respectively, then factor into a product −1 with diagonal, and use this factorization to find 5. We have: A^5 = [-1 -1023 0; 0 -1 0; 0 0 1024]

We have three eigenvectors for the given matrix as:

v1 = [1 0 0]T

v2 = [1 1 0]T

v3 = [0 1 1]T

Since the matrix is diagonalizable, we can form a diagonal matrix D and invertible matrix P such that A = PDP^-1, where the columns of P are the eigenvectors of A.

Thus, we have:

P = [v1 v2 v3] = [1 1 0; 0 1 1; 0 0 1]

D = diag(1, 3, -4)

To factor -1 with diagonal, we need to find a diagonal matrix D1 such that D = -D1^2. Since the diagonal entries of D are all nonzero, we can choose D1 = diag(sqrt(-1), sqrt(-3), sqrt(4)) = diag(i, sqrt(3)i, 2i). Then, we have:

-D1^2 = [-1 0 0; 0 -3 0; 0 0 -4]

Finally, we can use the factorization A = PDP^-1 = -PD1^2P^-1 to find A^5 as:

A^5 = (-PD1^2P^-1)^5 = -PD1^2P^-1PD1^2P^-1PD1^2P^-1PD1^2P^-1PD1^2P^-1

= -PD1^10P^-1 = -Pdiag(i^10, (sqrt(3)i)^10, (2i)^10)P^-1

= -Pdiag(1, -1, 1024)P^-1

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If the coin is fair, the expected gain would be $5. However, without information about the probabilities, we cannot determine the exact expected gain or loss.

To calculate the expected gain or loss, we need to determine the probability of getting a tail or a head when tossing the loaded coin.

Let's assume that the probability of getting a tail is represented by p and the probability of getting a head is represented by q. Since these are the only two possible outcomes, we know that p + q = 1.

Given that we win $20 for a tail and lose $10 for a head, we can calculate the expected gain or loss using the following formula:

Expected gain or loss = \((p \times $20) + (q \times -$10)\)

Since the question doesn't provide any information about the probabilities, we cannot provide an exact calculation for the expected gain or loss. However, if we assume that the coin is fair (50% chance of getting a tail and 50% chance of getting a head), we can substitute the values into the formula:

Expected gain or loss = \((0.5 \times $20) + (0.5 \times -$10) = $10 - $5 = $5\)

Therefore, if the coin is fair, the expected gain would be $5. However, without information about the probabilities, we cannot determine the exact expected gain or loss.

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Answer:

21

Step-by-step explanation:

6(y^2) - 24y -51 = 6 4 - 24y - 51

(6 4) - (24y) - 51 = 24 - -48 - 51

(24 - -48) - 51 = 72 - 51

72 - 51 = 21

Answer:

900

Step-by-step explanation:

(6 + 24)^2

30^2

900

The equation for the demand curve is Q = a - bP, where Q represents the quantity demanded, P represents the price of the product, a represents the intercept of the demand curve, and b represents the slope of the demand curve.

The equation for the demand curve is a fundamental concept in economics that helps us understand the relationship between the price of a product and the quantity of the product that consumers are willing to buy at that price.

The equation is typically expressed as:

Q = a - bP

The equation shows that as the price of a product increases, the quantity demanded decreases, and vice versa. This is known as the law of demand. It reflects the inverse relationship between price and quantity demanded.

The demand curve is downward sloping because of this inverse relationship. It slopes downwards from left to right, indicating that as the price decreases, the quantity demanded increases, and as the price increases, the quantity demanded decreases.

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If we multiply both numerator and denominator of the first ratio by 3, we will get the second ratio, thus, these are equivalent.

For any ratio:

a/b

If we multiply both numerator and denominator by the same real number, we will get an equivalent ratio.

In this case, we can start with the smaller of the two ratios:

1/6.

Now we can multiply both numerator and denominator by 3, then we will get:

(3*1)/(3*6) = 3/18

So yes, the ratios 1/6 and 3/18 are equivalent.

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Answer:

Infinitely many solutions

Step-by-step explanation:

-5.9x - 3.7y = -2.1

5.9x + 3.7y = 2.1

If we add these two equations together, -5.9x cancels out 5.9x, -3.7y cancels out 3.7y, and -2.1 cancels out 2.1.

This leaves us with:

0 = 0

Since this is true, that means there are infinite solutions.

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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Answer:

Yes it is irrational

Step-by-step explanation:

Hope this helps

The number 18/3 is 6 which is not an irrational number.

An irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.

here, we have,

18/3

= 6

So, its not an irrational number.

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If the spring musical cost $600 for costumes and $450 for the stage materials.  the number of tickets  is 56 tickets.

Total ticket = $600 + $450

Total ticket = $1050

Now let find the number of tickets that they have to sell to profit.

Number of tickets = $1,050 - $375 / $12

Number of tickets = $675/$12

Number of tickets = 56 tickets

Therefore the number of tickets  is 56 tickets.

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The complete question is:

The spring musical cost $600 for costumes and $450 for the stage materials.

Students raised $375 from advertisements in the program. Tickets cost $12 each.

How many tickets do they have to sell to profit?

Answer:

EC = 64

CD = 128

Step-by-step explanation:

AB bisects CD at E. So, EC = ED

EC + ED = CD

EC + EC = CD

2*(EC) = CD

2* (5x + 9) = 13x - 15

2*5x + 2*9 = 13x - 15

10x + 18 = 13x - 15

Subtract 10x from both sides

18 = 13x - 10x - 15

18 = 3x - 15

Add 15 to both sides

18  + 15 = 3x

      33 = 3x

3x = 33

Divide both sides by 3

x =33/3

x = 11

Length of EC = 5x + 9 = 5*11 + 9 = 55 + 9 = 64

CD = 13x - 15 = 13*11 - 15 = 143 - 15 = 128

Answer:

y ≤ -3

Step-by-step explanation:

3y ≤ -9

y ≤ - 9/3

y ≤ -3

Please mark me the brainliest!?!

Answer:

First of all he goes throughout the whole WORLD so UK would take an average of 30 an hour. Santa would travel an approx. of 650 mph per second

Step-by-step explanation:

78 miles per household, a total trip of 75-1/2 million miles, not counting stops to do what most of us must do at least once every 31 hours, plus feeding and etc. This means that Santa's sleigh is moving at 650 miles per second, 3,000 times the speed of sound.

Answer:

3

Step-by-step explanation:

2r=d

d/2=r

The p-value is 0.0064

Given that a random sample of 30 days and finds that the site now has an average of 124,247 unique listeners per day. Let us first understand the t-test(a2:a31, b2:b31, 2, 3) formula:

t-test stands for student's t-test.

a2:a31 is the first range or dataset.

b2:b31 is the second range or dataset.

2 represents the type of test (i.e., two-sample equal variance).

3 represents the type of t-test (i.e., two-tailed).

Now, let's solve the problem at hand using the formula given by putting the values into the formula:

P-value = 0.0064

The p-value calculated using the t.test(a2:a31, b2:b31, 2, 3) formula is 0.0064.

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Answer:

Prime Factors of 72: 2, 3

Step-by-step explanation:

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72

Answer:

s = the number of student tickets sold a = the number of adult tickets sold The drama class sold 25 more student tickets than adult tickets to the fall play s = a + 25 The class collected $660 from ticket sales: 6s + 3a = 660 divide both sides by 3 2s + a = 220 by solving the system of equations s = a + 25 2s + a = 220 we find s = 81.67 student tickets a = 56.67 adult tickets

Step-by-step explanation:

The probability that the weight of a randomly selected steer is between 1000 and 1520lbs is approximately 0.9192, or 91.92%.

Standard deviation = sqrt(variance) = sqrt(40,000) = 200

z = (x - μ) / σ

where z is the standardized value, x is the value of interest, μ is the mean, and σ is the standard deviation.

For x = 1000:

z1 = (1000 - 1100) / 200 = -0.5

For x = 1520:

z2 = (1520 - 1100) / 200 = 2.1

Using a calculator, we can use the normal cdf function with the z-scores to find the area between z1 and z2:

P(z1 < z < z2) = normal cdf(-0.5, 2.1) ≈ 0.9192

Rounding to four decimal places, we get:

P(1000 < x < 1520) ≈ 0.9192

Therefore, the probability that the weight of a randomly selected steer is between 1000 and 1520lbs is approximately 0.9192, or 91.92%.

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The domain are all of the x-values that are located on the x-axis of a cartesian coordinate while the range all of the y-values that are located on the y-axis of a cartesian coordinate.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

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based on the hypothesis test, we do not have enough evidence to support the claim made by the company.

What is Hypothesis Test?

the theory, methods, and practice of testing a hypothesis by comparing it with the null hypothesis. The null hypothesis is only rejected if its probability falls below a predetermined significance level, in which case the hypothesis being tested is said to have that level of significance.

To determine whether the experimental results support the claim that less than 0.2 percent of the company's batteries will fail during the advertised time period, we can use a hypothesis-testing procedure. Let's define the null and alternative hypotheses as follows:

Null hypothesis (H0): The proportion of batteries that fail during the advertised time period is equal to or greater than 0.2 percent.

Alternative hypothesis (Ha): The proportion of batteries that fail during the advertised time period is less than 0.2 percent.

Let p be the proportion of batteries that fail during the advertised time period. We can set up a hypothesis test using the binomial distribution.

Given:

Sample size (n) = 5000

Number of batteries that stop operating prior to 48 hours (x) = 15

Significance level (α) = 0.01

We can calculate the test statistic using the formula:

z = (x - np) / sqrt(np(1-p))

Under the null hypothesis, p = 0.002 (0.2 percent in decimal form). We can calculate the expected number of batteries that would fail based on this proportion:

np = 5000 * 0.002 = 10

Using the given values, we can calculate the test statistic:

z = (15 - 10) / sqrt(10 * (1 - 0.002))

Calculating the values, we find:

z ≈ 1.303

Next, we compare the test statistic with the critical value from the standard normal distribution at the chosen significance level. For a one-tailed test at α = 0.01, the critical value is approximately -2.33.

Since the test statistic of 1.303 is greater than -2.33, we fail to reject the null hypothesis. This means that the experimental results do not support the claim that less than 0.2 percent of the company's batteries will fail during the advertised time period, with proper charging procedures.

Therefore, based on the hypothesis test, we do not have enough evidence to support the claim made by the company.

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Answer:

Step-by-step explanation:

AO = CO = radius

AO = CO  ⇒  AB = BC  and  m∠AOB = m∠BOC = ¹/₂m∠AOC

From BDOE:

m∠EOB + m∠OBC + m∠CDE + m∠DEO = 360°

(65° + 75°) + 90° + x + 90° = 360°

140° + 180° + x = 360°

x = 40°

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer: 18,27,36

Step-by-step explanation: We have to add all the ratios to get 9 and then divide 81 by 9 and get 9. The multiple 2, 3 and 4 by 9 getting 18, 27 and 36 respectively.

The rate at which body cover distance is given by speed.

The formual for the speed is,

For the given question, distance is d=34 miles and time is t=4/5 hours.

Substitute the value in the formula to obtain the speed of Camden.

So the speed at which camden cover distance is 85/2 miles per hour.

Answer:

x=0 and -2

Notice a n=8, g(n)=0 and f(x) = 0.  If n<8, the coefficients for f(x) become negative and when n>8, the coefficients becomes positive.  It won't affect x=0 because x can be factor out and be equal to zero but will affect the second zero

Step-by-step explanation:

Given:  g(n) = 1/2*n - 4 and f(x)= g(n)x^2 + 2(g(n))x; n≠8

n = 2

g(n) = 1/2*n - 4

g(n) = 1/2*2 - 4 = 1-4 = -3

f(x)= g(n)x^2 + 2(g(n))x

f(x)= -3x^2 + 2(-3)x = -3x^2 - 6x

0=  -3x^2 - 6x; factor out -3x

0 = -3x(x + 2)

-3x = 0; x=0

(x+2)= 0; x=-2

Notice a n=8, g(n)=0 and n<8, the coefficients for f(x) become negative and when n>8, the coefficients becomes positive

The zeros of the quadratic function when n = 2 are:

x = 0 and x = -2.

We know that:

g(n) = (1/2)*n - 4

Then:

g(2) = (1/2)*2 - 4 = -3

So we can write:

f(x) = g(2)*x^2 + 2*g(2)*x

f(x) = -3*x^2 - 6x

We want to find the zeros of that, so we need to solve:

-3*x^2 - 6x = 0

If we take x as a common factor, we can write:

(-3x - 6)*x = 0

Then one zero is when x = 0, the other is when:

-3x - 6 = 0

-3x = 6

x = 6/-3 = -2

So the zeros are at x = 0 and x = -2

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