What is the rage of g(x)?
The graph of f(x) = 1/2(2.5)x and it’s reflection across the x-axis, g(x), are shown.

The required, rate of change of function B is greater than the rate of change of Function A.

Rate of change is defined as the change in value with rest to another entity is called rate of change.

Here,
For function 1 rate of change is given by the slope of the function,

m = (y₂ - y₁) / (x₂ - x₁)
m = 2 - 1 / 4 - 0
m = 1/4

m = 0.25

For function B, y = 0.75x - 2 rate of change has defined the slope of the function from the equation slope is m = 0.75.

So Slope of function B > Slope of function A

Thus, the rate of change of function B is greater than the rate of change of Function A.

Learn more about the rate of change here: https://brainly.com/question/13103052

#SPJ1

The slope is 9, and the y-intercept is 2.

What is a linear function?

Two distinct but related concepts are referred to by the phrase "linear function": A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Here, we have

Given: equation y = 9x - 2

we have to find the slope and the y-intercept of the linear function.

y = 9x - 2

y = 9x + (-2)

This is in the form of y = mx + c, where m is the slope and c is the y-intercept.

Hence, The slope is 9

y-intercept means where the equation cuts the y-axis. We know that in the y-axis, the value of x is 0. So, we put x = 0 in the equation to find the y-intercept.

y = 9x + (-2)

y = 9×0 - 2

y = -2

Hence, the y-intercept is -2.

To learn more about the linear function from the given link

https://brainly.com/question/4025726

#SPJ1

Answer:

Distance = -7.6

Step-by-step explanation:

Using Distance Formula, √((x2-x1)^2 + (y2-y1)^2)

√((-7 - 0))^2 + (-3 - 0)^2) = 7.6

Answer:

x  = 3\(\sqrt{2}\)

step-by step:

x -√2=√8

x = \(\sqrt{12}\)

x = \(\sqrt{6 * 2}\)

x = \(\sqrt{2 * 2 * 3}\)

x  = 3\(\sqrt{2}\)

Answer:

x = 3 sqrt(2)

Step-by-step explanation:

x -√2=√8

Add sqrt(2) to each side

x - sqrt(2) + sqrt(2) = sqrt(8)+ sqrt(2)

x = sqrt(8)+ sqrt(2)

Rewriting sqrt(8)  as sqrt(4) sqrt(2) = 2 sqrt(2)

x = 2 sqrt(2)+ sqrt(2)

x = 3 sqrt(2)

Answer:

тут наверное что-то неправильно, или опечатка

Answer:

y=2/3x-2

Step-by-step explanation:

If 300 people were sampled instead of 200, and the confidence level remained the same, it would produce a more accurate result.

Sampling means selecting the group that you will actually collect data from in your research. For example, if you are researching the opinions of students in your university, you could survey a sample of 100 students. In statistics, sampling allows you to test a hypothesis about the characteristics of a population.

This is because a larger sample size allows for a better representation of the population, providing a more accurate result. Additionally, with a larger sample size, the confidence interval of the sample would be narrower, indicating a higher level of confidence in the accuracy of the result.

To learn more about sampling refer :

https://brainly.com/question/6979326

#SPJ11

Answer:

a = 4/3

Step-by-step explanation:

1/3       a

----- = -----

5        20

Using cross products

1/3 * 20   = 5a

20/3 = 5a

Divide each side by 5

20/3 * 1/5 = 5a/5

4/3 = a

Answer:

\(-3(x+2)+5x=-9\\-3x-6+5x=-9\\-3x+5x=-9+6\\2x=-3\\x=-\frac{3}{2}\)

The average person burns 575-775 calories per hour in a game of basketball. If they are shooting baskets, they will burn 325-450 calories per hour.

What is Calories?
Calories are a measure of energy. Two main definitions of "calorie" are frequently used due to historical factors. The amount of heat required to increase the temperature of one kilogramme of water by one degree Celsius was the original definition of the large calorie, food calorie, as well as kilogramme calorie (or one kelvin). The amount of heat required to produce the same increase in one gramme of water was known as the small calorie or gramme calorie. As a result, 1000 small calories are equal to 1 large calorie.

How many calories do basketball players burn?

Calories expended per minute equal (MET x body weight in kg x 3.5) / 200

Hence, the average person burns 575-775 calories per hour in a game of basketball. If they are shooting baskets, they will burn 325-450 calories per hour.

To know more about calories check the below link:

https://brainly.com/question/1061571

#SPJ4

QUESTION A

Player E has 3.1 free throw attempts and 10.4 points.

This is represented by the point labelled D in the image.

QUESTION B

The point (2.1, 18.6) can be compared to the table.

When we do so, we can see that player B has the same values for free throw attempts and points.

Thus, that point represents the data for player B.

QUESTION C

Player O scored 14.3 points and 4.8 free throw attempts. This can be shown in the

If the population size is 500, then the standard error of the sample mean is approximately 0.447.

The standard error of the sample mean is a measure of how much the sample mean differs from the true population mean on average. The formula for calculating the standard error of the sample mean is:

SE=σ/√n

where σ is the standard deviation of the population, n is the sample size.

Using the given values, we can calculate the standard error of the sample mean as follows:

σ = 10

n = 50

SE = σ/√n = 10/√50 = 1.41

When the population size is very large relative to the sample size (n), the standard error of the sample mean can be approximated as:

SE=σ/√N

where N is the population size.

Using the given values, we can calculate the approximate standard error of the sample mean as follows:

N = 500

σ = 10

SE = σ/√N = 10/√500 = 0.447

Thus, the standard error of the sample mean, when the population size is 500, is approximately 0.447.

Learn more about standard error here: https://brainly.com/question/29037921

#SPJ11

The first four terms of an arithmetic sequence are 5, 9, 13, 17 and the nth term formula of this sequence is 4n+1.

To find the expression for the (n-1)th term, we need to substitute (n-1) into the nth term formula.

So, the nth term formula is 4n+1.

Substituting (n-1) for n, we get:

4(n-1)+1 = 4n-3

Therefore, the expression for the (n-1)th term of an arithmetic sequence is 4n-3.

Learn more about arithmetic sequence at: https://brainly.com/question/6561461

#SPJ11

Answer:

D

Step-by-step explanation:

i took the test

The equivalent expressions of \((x^{6} )^{-3}\) will be \((x )^{-18}\).

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive the equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

The given expression is;

\((x^{6} )^{-3}\)

Required to Determine the equivalent expression.

First, we need to evaluate the expression in the bracket:

Apply the following law of indices:

\((x^a)^b = x ^{ab}\)

So:

\((x^{6} )^{-3}\)

becomes

\((x )^{6 \times -3}\\\\\)

\((x )^{-18}\)

Hence: the equivalent expressions of \((x^{6} )^{-3}\) will be \((x )^{-18}\).

Learn more about expression here;

https://brainly.com/question/14083225

#SPJ5

a regression equation for this formula, where x represents the number of years enrolled and y represents the tuition.

y = 34000 - 2300x

Regression is a statistical technique that connects one or more independent (explanatory) variables to a dependent variable. If there is a relationship between changes in one or more of the explanatory factors and changes in the dependent variable, it can be shown using a regression model.

The regression equation for this formula would be:

Y = 34,000 - 2,300x

where Y is the tuition cost and x is the number of years in school.

The equation states that the tuition cost for any year in school (x) is equal to the freshman year tuition cost (34,000) minus 2,300 multiplied by the number of years in school (x).For example, if x = 4 (4 years in school), then the tuition cost for that year would be 34,000 - 2,300(4) = 25,400.

learn more about regression here

https://brainly.com/question/28178214

#SPJ4

Answer: They purchased  12 uniforms

Step-by-step explanation:

If the equipment cost $612 in total and the uniforms cost $25 each and they spent a total for $912 then we could represent it by the equation  25x + 612 = 912   where x is the number of uniforms that the school purchase.

25x + 612 = 912   solve for x   by subtracting 612 from both sides

         612     612

25x = 300     divide both sides by 25

x = 12

Answer:

The answer to the equation is B.

Step-by-step explanation:

Answer:

i took the test and its B

Step-by-step explanation:

It is true that the probability distribution of a random variable is a set of probabilities that indicates the likelihood of each possible outcome of the variable.

The distribution can take different forms depending on the nature of the variable, but it always adds up to 1. In the example given, the random variable has four possible outcomes with probabilities of 0.2, 0.1, 0.4, and 0.3 respectively. This distribution can be used to calculate the expected value and variance of the variable, as well as to make predictions about future observations. Understanding probability distributions is a fundamental concept in statistics and data analysis.

It is true that the  probability distribution of a random variable represents a set of probabilities associated with each possible outcome. In your example, the random variable has a distribution of 0.2, 0.1, 0.4, and 0.3, which indicates the probability of each outcome occurring. These probabilities must add up to 1, reflecting the certainty that one of the outcomes will happen. A probability distribution helps us understand the likelihood of different outcomes and enables us to make predictions based on the given data.

Visit here to learn more about  probability : https://brainly.com/question/30034780
#SPJ11

Answer:

Company B follows linear profit function while company A follows exponential profit function. Company B has more profit after 4 months while company A has more monthly profit after year-end. Option A is correct.

Given information:

Company A earns monthly profit based on the profit function,  where t is the number of months.

Company B earns profit based on a linear function. The data in the below table shows the profit after each month:

Month 3 4 7

Profit 5 10 25

Now, the profit earned by company A after 4 months will be,

Also, the profit earned after a year will be,

Now, the linear function which represents the profit of company B is,

So, the profit earned after 4 months and 1 year (by company B) will be,

Now, comparing the profit of companies A and B:

After 4 months, company B has more monthly profit which is 10 hundred dollars or 1 thousand dollars. After the year-end, company A earns more monthly profit as it is 102.04 hundred dollars. This is because company A follows an exponential function to predict the profit while company B uses a linear profit function.

Therefore, option A should be correct.

For more details, refer to the link:

brainly.com/question/14628115

Company B follows linear profit function while company A follows - 1

The profit of the company was decreasing in the year interval 2010 to 2015.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given that,

A company’s profit, P(t) , in thousands of dollars, from 2000 to 2015 , is represented by the graph provided.

Here  t=0 corresponds to the year 2000.

The X axis has been marked from 0 to 15, which corresponds to the year from 2000 to 2015.

It is clear that from 0 to 10, the profit is increasing. So from 2000 to 2010 the graph is increasing.

From 10 to 15, the graph is decreasing or the profit is decreasing and finally the profit is 0.

So the graph is decreasing in the interval 2010 to 2015.

Hence the interval where the graph is decreasing is 2010 to 2015.

Learn more about Graph of the Functions here :

https://brainly.com/question/29745804

#SPJ2

This is the Taylor polynomial of degree n = 4 for f(x) = sin(x) centered at a = π/6.

To approximate the function f(x) = sin(x) using a Taylor polynomial with degree n = 4 centered at a = π/6, we can use the Taylor series expansion of sin(x) around the point a.

The Taylor series expansion for sin(x) is given by:

sin(x) = sin(a) + cos(a)(x - a) - (1/2)sin(a)(x - a)^2 - (1/6)cos(a)(x - a)^3 + (1/24)sin(a)(x - a)^4 + ...

Plugging in the values a = π/6 and n = 4, we have:

sin(x) ≈ sin(π/6) + cos(π/6)(x - π/6) - (1/2)sin(π/6)(x - π/6)^2 - (1/6)cos(π/6)(x - π/6)^3 + (1/24)sin(π/6)(x - π/6)^4

Simplifying this expression, we have:

sin(x) ≈ 1/2 + √3/2(x - π/6) - (1/2)(x - π/6)^2 - (√3/6)(x - π/6)^3 + (1/24)(x - π/6)^4

To know more about series visit:

brainly.com/question/12707471

#SPJ11

(a) The number 72% is a D. statistic.

(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.

It is related to statistics and parameters.

(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.

A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.

(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.

A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.

In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.

The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.

Learn more about statistics and parameters

brainly.com/question/15077367

#SPJ11

Answer:

3x + 5 + 6x -6 = 80

9x -1 = 80

9x = 81

x = 9

3(9) +5 = 32

< DBC = 32

6(9)-6 = 48

<ABC = 48

Answer:

y = (x-5)(x+2)

Step-by-step explanation:

the zeros are the solution to 'x' of each factor:

x-5=0;   x=5

x+2=0;   x = -2

Answer:

The number is infinity

Step-by-step explanation:

Let the unknown number be x

if the number increased by three, then we have;

x + 3

Also quadrupling that number increased by five all divided by four is expressed as;

(4x+5)/4

Equating bith expressions and calculating x;

x+3 = (4x+5)/4

cross multiply;

4(x+3) = 4x + 5

4x+12 = 4x + 5

4x-4x = 5 - 12

0x = -7

x = -7/0

x = ∞

Hence the number is infinity

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

a. The extreme points of the feasible region are the vertices of the polygon formed by the intersection of the constraint lines. In this case, the extreme points are (0,0), (5,0), (3.75, 3.75), (3.5,4.5), and (0,8).

b. To find the optimal solution and the objective function value, we evaluate the objective function at each extreme point and choose the point that maximizes the objective function. In this case, the point (3.5, 4.5) maximizes the objective function with a value of 59.5. Therefore, the optimal solution is x = 3.5 and y = 4.5, and the objective function value is 59.5.

c. The slack variables represent the surplus or slack in each constraint. We calculate the slack variables by subtracting the actual value of the left-hand side of each constraint from the right-hand side. In this case, the values of the slack variables are s1 = 0 (indicating no slack in the first constraint), s2 = 2 (indicating a surplus of 2 in the second constraint), and s3 = 0 (indicating no slack in the third constraint).

Therefore, the correct option is:

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

Learn more about polygon from

https://brainly.com/question/26583264

#SPJ11

The simplified expression is 2y² - 9.

To subtract the binomials (-3y^2 - 8) - (-5y^2 + 1), we need to distribute the negative sign to the terms inside the second set of parentheses:

(-3y^2 - 8) - (-5y^2 + 1) = -3y^2 - 8 + 5y^2 - 1

Next, we combine like terms by adding or subtracting the coefficients of the same degree:

-3y^2 + 5y^2 - 8 - 1 = (5y^2 - 3y^2) + (-8 - 1) = 2y^2 - 9

Therefore, the simplified expression is 2y² - 9.

To know more about expression , refer here:

https://brainly.com/question/28170201#

#SPJ11

Answer:

11 Cups

Step-by-step explanation:

Carlos used 3 pints of lemon juice and 5 times more water than lemon juice. So, he uses 3 x 5 = 15 pints of water for the lemonade. The amount of lemonade is 15 + 3 = 18 pints. Now he pours it equally into 4 jugs which makes it 18 ÷ 4 = 4.5 pints in each jug. Now 1 pint fills 2.4 cups which means 4.5 pints will fill 4.5 x 2.4 = 10.8 cups which will apprroximately be 11 cups.