show that f(x) = (x-2) / (x+3) is invertible and find its inverse. (a) what is the domain of f(x)? the range of its inverse? (b) what is the domain of the inverse and the range of f(X)?

ANSWER:

C.

EXPLANATION:

Percentage points can be defined as a unit of arithmetic difference between two percentages.

Note that the greater difference, the more the error range.

So the lowest percentage points will give the most reliable error range.

Looking at the given error ranges, we can see that the below would be the most reliable;

Answer:

Divide both sides by -10

-10n+2=40

subtract 2 from both sides so

40-2=38

10n/10= 38/10

3.8 = n

Step-by-step explanation:

The area under the standard normal curve to the right of z = −2.25 is obtained to be 0.0122.

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

The area under the standard normal curve to the right of z = -2.25 can be found using a standard normal table or a calculator.

Using a standard normal table, we look up the area corresponding to z = -2.25, which is 0.0122.

This means that the area under the standard normal curve to the right of z = -2.25 is 0.0122.

Alternatively, we can use a calculator with a normal distribution function to find this area.

The command on the calculator would be normcdf(-2.25, 99), where the second argument is a very large number that is used to represent infinity.

Using this command, we get an answer of 0.0122, which agrees with the value found using the standard normal table.

In summary, the area under the standard normal curve to the right of z = -2.25 is 0.0122, which represents the probability that a standard normal variable is greater than -2.25.

Therefore, the area under the normal curve is 0.0122.

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Answer:

t = 7

Step-by-step explanation:

(5t + 6)° + 49° = 90°

5t + 6 + 49 = 90

5t = 90 - 55

t = 7

The speed of the moving body that is being referred to here is 80 kilometer per hour.

The given problem is a straightforward one based on the idea of the universal law of motion. According to the universal law of motion, any uniformly traveling body's distance traveled is determined by the product of its speed and the time elapsed. Distance is calculated as speed * time. Therefore the body is going at a speed of 80 kilometers per hour, according to the same relation as above, assuming that it is moving at a constant speed.

                                \(Distance = speed * time\)

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Answer:

Step-by-step explanation:

\( \frac{ - 64}{5} = - 64 \div 5 = - 12.8\)

Answer:

-12 4/5

Step-by-step explanation:

64÷5 =12 R4

-64/5 = -12 4/5

Answer:

steps below

Step-by-step explanation:

If A in first quadrant: sin A = 4/5,  cos A = 3/5,  tan A = 4/3

5cos A + 3tan A​ = 5 * 3/5 + 3 * 4/3 = 3+4 = 7

If A in second quadrant: sin A = 4/5,  cos A = - 3/5,  tan A = - 4/3

5cos A + 3tan A​ = 5 * -3/5 + 3 * -4/3 = -3 + -4 = -7

Answer: 2.82842712 or 2\(\sqrt{2}\)

Step-by-step explanation:

Answer:

B) 19.47

Step-by-step explanation:

5.9*3.3=19.47

Answer:

B 19.47

Step-by-step explanation:

5.9 = 1

? = 3.3

cross multiply

5.9 × 3.3 = 19.47

A common everyday counting unit that is used to mean 12 of an object is a Dozen

Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.

Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."

Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.

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The possible equation of the sequence is f(x) = -2x + 5

From the question, we have the following parameters that can be used in our computation:

Sequence type = arithmetic

Also, we have the following features

slope = negative

y-intercept = positive

A linear equation (or an arithmetic sequence) can be represented as

y = mx + c

Where

slope = m

y-intercept = c

Using the given features, we can use the following assumed values

m = -2

c = 5

So, the sequence is

f(x) = -2x + 5

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Answer:

the first one is correct

Step-by-step explanation:

Step-by-step explanation:

(x - 1 ) option A is the correct answer of this question.

plz mark my answer as brainlist plzzzz .hope this will be helpful to you .

We are given the following information

Line EF intersects line AB and line CD

GH ≅ IH

m∠EGB = 50° and m∠DIG = 115°

We are asked to explain that why line AB is parallel is line CD.

As you can see, corresponding angles are equal so, m∠GHI = m∠EGB = 50°

We know that angles on a straight line equal 180°

Therefore, in triangle GHI, angle H equals 50, angle I equals 65 and angle G equals 65

Angles in a triangle equals 180

Therefore, lines AB and CD are parallel

Answer: k = √27-i

Step-by-step explanation:

Answer:

\( \sqrt{50 } \times \sqrt{4} \)

Interp2 is a MATLAB function that can be used to resize arrays of different sizes. This function is especially useful when we want to change the dimensions of an array without losing any important data.

An array is a collection of values or elements arranged in a specific order. When we want to resize an array, we essentially want to change its shape, but keep the same amount of data. This can be tricky when dealing with arrays of different sizes, because we need to find a way to map the data from one array onto another.

Interp2 helps us do this by using interpolation. Interpolation is a mathematical technique that allows us to estimate values between known data points. In the context of array resizing, interpolation is used to estimate the values of the new array based on the values of the old array.

To use interp2 to resize arrays, we need to provide it with the following inputs:

The old array (the array we want to resize)

The new size of the array (the dimensions of the new array)

The method of interpolation (how we want to estimate the values of the new array)

For example, let's say we have an array A that is 4x4, and we want to resize it to a 6x6 array. We can use interp2 as follows:

B = interp2(A, 6, 6, 'cubic');

In this case, we are telling interp2 to resize the array A to a 6x6 size using cubic interpolation. The resulting array B will have the same amount of data as A, but will be reshaped to fit the new dimensions.

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The diameter of the U.S. dime in 1828 was approximately 18 mm. To convert this diameter to nanometers, we need to multiply it by 1,000,000 (since there are 1,000,000 nanometers in a millimeter).

So, when expressed in nanometers, the diameter of the U.S. dime in 1828 is approximately 18,000,000 nanometers. The diameter of the U.S. dime in 1828, when expressed in nanometers, is approximately 18,000,000 nanometers. Therefore, the diameter of the U.S. dime in 1828 can be expressed as 18,000,000 nanometers.

The diameter of the U.S. dime in 1828, when expressed in nanometers, is approximately 18,000,000 nanometers. To convert millimeters to nanometers, we multiply by 1,000,000 since there are 1,000,000 nanometers in a millimeter.

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Answer:

tickets: $32

food: $18.14

drinks: $14.28

total: $64.42

In a given year, an economy has 10 million unemployed workers and 120 million employed workers. This information provides a snapshot of the labor market and indicates the number of individuals who are currently without jobs and those who are employed.

The information states that in the given year, there are 10 million unemployed workers and 120 million employed workers in the economy. This data provides a measure of the labor market situation at a specific point in time.

Unemployed workers refer to individuals who are actively seeking employment but currently do not have a job. The number of unemployed workers can be an important indicator of the health of an economy and its ability to provide job opportunities.

Employed workers, on the other hand, represent individuals who have jobs and are currently working. The number of employed workers indicates the size of the workforce that is actively contributing to the economy through productive activities.

By knowing the number of unemployed and employed workers, policymakers, economists, and analysts can assess factors such as labor market conditions, unemployment rates, and workforce participation rates. This information is crucial for formulating policies, understanding economic dynamics, and monitoring the overall health and functioning of the economy.

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Answer:

Slope =

\( \frac{5}{17} \)

Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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If the probability of event E is 1, then event E will definitely occur. Therefore, the correct answer is b.

It is important to note that if the probability of an event is 1, then it is certain to occur and there is no possibility of it not occurring. This means that event E is not impossible (a), not disjoint (c), and not dependent (d) since it will occur regardless of any other events. Based on the information provided, if the probability of event E is 1, then option b. event E will definitely occur. This is because a probability of 1 indicates that the event is certain to happen.

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Answer:

Step-by-step explanation:

I believe the answer is D

Hope it helps ^^

Answer:

B

Step-by-step explanation:

Well i beileve this is the answer because:

A- Divorced: i dont belive when she went back she had died of sickness.

B- Disowned by her tribe: seems the most trustable.

C- Presented to the king and queen and was received as royal as a princess: No JUST no.

D- Killed by european settlers: wrong answer i got it wrong on the exam in social same as you.

Given:

A geometric figure.

To find:

The point of tangency in the given figure.

Solution:

We know that, the point of tangency is a point where the tangent line touches the curve.

From the given figure it is clear that, two lines touch the circle at R and Z.

These two lines are tangent and they touch the curve at points R and Z. So, R and Z are point of tangency.

Therefore, the correct option is C.

I guess you're asking about the probability density for the random variable \(|A-B|\) where \(A,B\) are independent and identically distributed uniformly on the interval (0, 15). The PDF of e.g. \(A\) is

\(\mathrm{Pr}(A=a) = \begin{cases}\dfrac1{15} & \text{if } 0 < a < 15 \\\\ 0 & \text{otherwise}\end{cases}\)

It's easy to see that the support of \(|A-B|\) is the same interval, (0, 15), since \(|x|\ge0\), and

• at most, if \(A=15\) and \(B=0\), or vice versa, then \(|A-B|=15\)

• at least, if \(A=B\), then \(|A-B|=0\)

Compute the CDF of \(C=|A-B|\) :

\(\mathrm{Pr}(C\le c) = \mathrm{Pr}(|A - B| \le c) = \mathrm{Pr}(-c \le A - B \le c)\)

This probability corresponds to the integral of the joint density of \(A,B\) over a subset of a square with side length 15 (see attached). Since \(A,B\) are independent, their joint density is

\(\mathrm{Pr}(A=a,B=b) = \begin{cases}\dfrac1{15^2} & \text{if } (a,b) \in (0,15) \times (0,15) \\ 0 &\text{otherwise}\end{cases}\)

The easiest way to compute this probability is by using the complementary region. The triangular corners are much easier to parameterize.

\(\displaystyle \mathrm{Pr}(|A-B|\le c) = 1 - \mathrm{Pr}(|A-B| > c) \\\\ ~~~~~~~~ = 1 - \int_0^{15-c} \int_{a+c}^{15} \frac{db\,da}{15^2} - \int_c^{15} \int_0^{a-c} \frac{db\,da}{15^2} \\\\ ~~~~~~~~ = 1 - \frac1{225} \left(\int_0^{15-c} (15 - a - c) \, da + \int_c^{15} (a - c) \, da\right)\)

In the second integral, substitute \(a=15-a'\) and \(da=-da'\), so that

\(\displaystyle \int_c^{15} (a-c) \, da = \int_{15-c}^0 (15-a'-c) (-da') = \int_0^{15-c} (15 - a' - c) \, da'\)

which is the same as the first integral. This tells us the joint density is symmetric over the two triangular regions.

Then the CDF is

\(\displaystyle \mathrm{Pr}(|A-B|\le c) = 1 - \frac2{225} \int_0^{15-c} (15 - a - c) \, da \\\\ ~~~~~~~~ = 1 - \frac2{225} \left((15-c) a - \frac12 a^2\right) \bigg|_{a=0}^{a=15-c} \\\\ ~~~~~~~~ = \begin{cases}0 & \text{if } c < 0 \\\\ 1 - \dfrac{(15-c)^2}{225} = \dfrac{2c}{15} - \dfrac{c^2}{225} & \text{if } 0 \le c < 15 \\\\ 1 & \text{if } c \ge 15\end{cases}\)

We recover the PDF by differentiating with respect to \(c\).

\(\mathrm{Pr}(|A-B| = c) = \begin{cases}\dfrac2{15} - \dfrac{2c}{225} & \text{if } 0 < c < 15 \\\\ 0 & \text{otherwise}\end{cases}\)

Answer:

Option A is the correct option.

Step-by-step explanation:

As the graph of ( f + g ) ( x ) is a line. So, ( f + g ) ( x ) is linear which means x² of f ( x ) and x² of g ( x ) get cancelled on adding . They must be equal and opposite in sign.

So, Option A is correct.

Hope this helps..

Best regards!!

Answer:

C

Step-by-step explanation:

Asjcncnskckcjcjfjfjnvnv

Answer:

3²

Step-by-step explanation:

3⁸ x 3⁴/ 3² x 3⁸

= 3⁴/ 3²

= 3 x 3 x 3 x 3 / 3 x 3

= 3 x 3

= 3²

Step-by-step explanation: In geometry, a vertex is where two rays share a common endpoint or where they interest each other.

The rays are called the sides of the angle and

common endpoint is called the vertex.

The vertex is very important when naming angles because

the vertex is always at the center when naming the angle.

Below is an example of two rays that share a

common endpoint which is called the vertex.