The domain of a function h(x) is xs -2, and the range is y> 1. What are thedomain and range of its inverse function, h-(x)?

Step-by-step explanation:

If I'm not wrong it should be 27.93

Answer: y = 2/3 x + 3

Step-by-step explanation:

You are supposed to find y = mx + b.

In that equation y = mx + b, b is the y intercept or the dot that passes through the y axis. The m in the equation is the slope, to find the slope you find the rise over run the simplify it as much as you can.

9514 1404 393

Answer:

  4/10 and 10/25

Step-by-step explanation:

If each of the ratios reduces to the same lowest terms, then they are a proportion. All are in lowest terms except the first pair. Reducing those gives ...

  4/10 = 10/25 = 2/5

4/10 and 10/25 form a proportion

__

All of the other pairs are pairs of different ratios, so do not form a proportion.

The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).

3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units  \(cm^2\) or \(mm^2\)  where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) \(m^2\)

4) \(km^2\)

5) \(in^2\)

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Answer:

Carmen ran \(\frac{1}{12} \) mile more than she walked.

Answer:

k = 36

Step-by-step explanation:

By exterior angle theorem:

\(k \degree + 110 \degree = 146 \degree \\ \\ k \degree = 146 \degree - 110 \degree \\ \\ k \degree = 36\degree \\ \\ k = 36\)

The x-intercepts of the parabola are  (-1,0) and (-5,0) and the coordinates of the vertex are  ( -3 , - 4 ).

A parabola is a graphical representation of a function of the form y=g(x) where g(x) is a quadratic polynomial of x.

The given equation of the parabola is y = x² + 6x + 5

to find the x-intercepts we have to take the value of y at zero.

∴  x² + 6x + 5 = 0

or,  x² + 5x + x + 5 = 0

or, x (x + 5) + 1 ( x + 5 ) = 0

or, (x+5)(x+1)=0

either x=-5 or x=-1

Therefore the x-intercepts of the graph is (-1,0) and (-5,0)

Now to find the vertex of the parabola:

y =  x² + 6x + 5

or, y = x² + 2·x·3 + 3² - 4

or, y = (x + 3)² - 4

Therefore from the above equation we can say that the vertex of the parabola is at ( -3 , - 4 ).

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9514 1404 393

Answer:

  C.  graph Y

Step-by-step explanation:

Starting with f(r) = -3r +3, the inverse function can be found from ...

  r = f(y)

  r = -3y +3

  r -3 = -3y

  (r -3)/-3 = y

  y = -1/3r +1

The inverse function will have a slightly negative slope and a y-intercept of 1. This matches graph Y.

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Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)

Substituting \(\displaystyle\sf x=0.2\):

\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)

Simplifying the expression inside the parentheses:

\(\displaystyle\sf (6-0.4) +(15-0.6)\)

\(\displaystyle\sf 5.6 +14.4\)

Calculating the sum:

\(\displaystyle\sf 20\)

Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).

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Answer:

The total cost will be 2 adult ($16), and 4 children ($8)

Step-by-step explanation:

3√2 means 3 times the square root of 2.

Enter 2. Press the square root key to get square root of 2.

You should see 1.4142135

Now multiply by 3.

You should get 4.2426405

Commitment to goals can be promoted in through:

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain outcomes, are significant. Commitment helps you stick to your goals in both good and bad times, when obstacles arise. Commitment is influenced by two factors: importance and

Goal commitment is generally defined as an individual's determination to devote time and effort to achieving a goal.

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain.

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Answer: 3.

Step-by-step explanation: NA/Student did not ask ; answer given only.

Answer:

Step-by-step explanation:True.

If a function has an empty formal parameter list, the parentheses after the function name are not required in some programming languages. For example, in Python, the parentheses can be omitted when defining or calling a function with an empty parameter list.

For instance, the following function definition and function call are both valid in Python:

def print_hello():

   print("Hello!")

print_hello()

However, some programming languages, such as C and Java, require parentheses for all function definitions and calls, even when the parameter list is empty.

we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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Answer: All of the numbers except for 4 is divisible by 90.

Step-by-step explanation: All the numbers beside 4 are divisible by 90 because they can all go into 90 equally.

Answer:

D

Step-by-step explanation:

you can't divide by zero

Answer:

YES,

AS ,

1/2^-4

=2^4=16.

16>1

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The most appropriate choice for LCM of two numbers will be given by -

All the friends together can eat lunch on  14th December 2023.

What is LCM?

LCM means Lowest Common Multiple. LCM of two numbers a and b is the least number that is divisible by both a and b.

Friend 1 eats lunch together at Chipotle everyday including weekends

Friend 2 eats lunch together at Chipotle every other day including weekends

Friend 3 eats lunch together at Chipotle every third day including weekends

Friend 4 eats lunch together at Chipotle every fourth day including weekends

Friend 5 eats lunch together at Chipotle every fifth day including weekends

Friend 6 eats lunch together at Chipotle every sixth day including weekends

Friend 7 eats lunch together at Chipotle every seventh day including weekends

Number of days after which all the friends together can eat lunch

= LCM of 1, 2, 3, 4, 5, 6, 7 = 420 days

All the friends together can eat lunch after 420 days

All the friends together can eat lunch on =

(31 - 20) + 30 + 31 + 31  + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 30 +14 = 14th December 2023

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Events A and B dependent as the occurrence of one event affect the chances of the occurrence of the other event.

Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.

To understand this branch, it is extremely important to know its most basic definitions, such as the formula for calculating probabilities in equiprobable sample spaces, probability of the union of two events, probability of the complementary event, etc.

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).

Since we have given that

A be the event that Callista drives faster than the speed limit.

P(A)=0.34

B be the event that she gets to a wedding on time.

P(B)=0.45

The probability that she gets to the wedding on time given that she drives faster than the speed limit is 0.85 i.e.

P(A|B)=0.85

but for A and B to be independent ,

P(A).P(B)= P(A and B)

0.34×0.45=0.153

but,

\(P(A|B) = \frac{P(AnB)}{P(B)}\)

P(AnB) = 0.85 x 0.45

P(AnB) = 0.3825

So, P(A∩B) does not satisfy the condition.

Hence, A and B are not independent events.

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The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Step-by-step explanation:

square root of 196 is 14

square root of 169 13

square root of 121 is 11

square root of 225 is 15

square root of 144 is 12

square root of 100 is 10

Answer:

B

Step-by-step explanation:

The experimental probability that the next train to pull into Lakeside Station will be full is 7/10.

The experimental probability of the next train to pull into Lakeside Station being full can be calculated by dividing the number of times a full train occurred by the total number of trains observed.

Given that out of the last 20 trains, 14 were full, we can express the experimental probability as a fraction:

P(full) = Number of full trains / Total number of trains observed

P(full) = 14 / 20

Simplifying the fraction, we get:

P(full) = 7 / 10

Therefore, the experimental probability that the next train to pull into Lakeside Station will be full is 7/10.

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Answer:

The test statistic is 23

Step-by-step explanation:

Best way to understand this is to think of a sample and it's purpose;

You take a sample to get information that can be extrapolated to apply to the whole population;

So, for example, you have a factory making light bulbs, and you want to find out how long they last;

You would take a number of light bulbs from the production line, i.e. a sample, and test these;

It would be impossible to test every light bulb as this would take too long and there would be none left unused to sell, i.e. it would not be feasible or viable to do;

You would then find a mean of these times from the sample, and then extrapolate and assume it to be the duration of any light bulb coming off the production line;

The sample is the handful of light bulbs chosen to test;

The test statistic refers to the quantity or value, calculated from the sample data, this would be the mean light bulb duration in the light bulbs example;

Similar and yet different to a test statistic, a population parameter refers to a quantity or value calculated from population data;

A population refers to all members of a particular group of objects/items, so in the example, it would be all the light bulbs produced;

The population parameter would refer to the mean calculated based on data from the population (i.e. all the light bulbs produced);

Realistically, it is impossible to determine a population since it would be unviable in the practically all cases, as we can see in the example;

This value is almost always theoretical and would be assumed from a test statistic in any real scenario.

Answer:

A.

Step-by-step explanation:

I had this question before but instead of finding the equation, it gave me THE equation to solve.

\(x^2 -8x-2=0\\\\x^2 -8x=2\\\\x^2 -8x+16=18\\\\(x-4)^2 =18\\\\x-4=\pm \sqrt{18}\\\\\boxed{x=4 \pm \sqrt{18}}\)

Answer:

let x be thomas age

3x for huilans age since huilans age is 3 time thomas age

both of their ages add to 76

ie. x + 3x =76

solve for x

4x = 76

x = 76 ÷ 4

x = 19. thomas age

to get huilans age : take 19 × 3 = 57