(2x+1)(x-2)(x+3)
please help

Answer:

x3−7x2+17x−20

Step-by-step explanation

BTW the 3 and the 2 are like the tiny numbers at the top cuz i don't know how to do that on a computer

By definition, the median is the value that falls in the middle. So the value in the middle of this data is the median.

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does.

Given: The data have been arranged from smallest value to largest value.

We must decide what to label the value in the middle.

We know that,

Median is the middle number of the values arranged from smallest value to largest value.

Therefore, the value in the middle is called the median by the definition of the median.

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

C. 50%

Step-by-step explanation:

Since 40 is half of 80, and 50% means half, and 42 out of 80 is close to half, then 42 out of 80 is close to 50%.

Answer: C. 50%

Answer:

b25

Step-by-step explanation:

beacuse that is a rain and reasonable he percentage

A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable).

It is denoted by r-squared and typically takes values between 0 and 1. A value of 0 indicates that the independent variable does not explain any of the variance in the dependent variable, while a value of 1 indicates that the independent variable explains all of the variance in the dependent variable. The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable). A higher R-squared value indicates a stronger regression relationship between the two variables.

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The three statements comparing the functions that are true include the following:

B. Only f(x) and h(x) have x-intercepts.

C. The minimum of h(x) is less than the other minimums.

E. The maximum of g(x) is greater than the other maximums.

In Mathematics and Geometry, the x-intercept is also referred to as horizontal intercept and the x-intercept of the graph of any function simply refers to the point at which the graph of a function crosses or touches the x-coordinate (x-axis) and the y-value or the value of "f(x)" is equal to zero (0).

In this context, only the functions f(x) and h(x) have x-intercept i.e f(x) = h(x) = 0 when x = 0. Also, the minimum of the function h(x) = -28 is less than than other minimums of the functions f(x) = -14 and g(x) = 1/49.

In conclusion, the maximum of the function g(x) = 49 is greater than the other maximums of the functions f(x) = 14 and h(x) = -28.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

  -0.25

Step-by-step explanation:

Since point E lies between -1 and 0, a negative number with a magnitude less than 1 is needed. From the given list, that number is ...

  -0.25

_____

The mapping of choices to points is ...

  3.5 - A

  -0.25 - E

  -1.75 - B

  -2.5 - D

Answer:

0.25

Step-by-step explanation:

Answer:

use 2 defined points.

Lets use: (-3,0) and (0,3)

The equation is written as y = mx+b, where m is the slope and  is the y-intercept

Slope - change in y / change in x:

Slope = (3 -0) /(0- -3) = 3/3  = 1

b is the y-intercept which is the y value when x is o, which is one of the points (0,3) so b = 3

The equation becomes y = x +3

It is true that the binomial x + 1 is a factor of the polynomial P(x) = 5x^2 + 11x + 6

From the question, the given parameters are

Start by setting the binomial to 0

So, we have

x + 1 = 0

Solve for x in the above equation

x = -1

Substitute -1 for x in the polynomial equation P(x) = 5x^2 + 11x + 6

P(-1) = 5(-1)^2 + 11(-1) + 6

Evaluate

P(-1) = 0

Because P(-1) equals 0, then the binomial is a factor of the polynomial

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Answer:

a whole?????

Step-by-step explanation:

Answer:

c. 6, 8, 10

Step-by-step explanation:

In order for three side lengths of a triangle to be a right triangle, they have to satisfy the Pythagorean theorem, which is given by:

a^2 + b^2 = c^2, where

Thus, for any right triangle, the sum of the squares of the shorter sides (legs) equals the square of the longest side (the hypotenuse).

Only option C. satisfies the theorem.  To show this, we can plug in 6 and 8 for a and b and 10 for c in the Pythagorean theorem and simplify:

6^2 + 8^2 = 10^2

36 + 64 = 100

100 = 100

Thus, 6, 8, 10 form a right triangle.

Answer:

whatever 31-18 is i think

Step-by-step explanation:

Answer:

Here is the answer.

Step-by-step explanation:

Hope this helps!!

Therefore, we cannot determine whether A and B are collectively exhaustive just from their probabilities that is the given statement is false.

The statement "A and B must be collectively exhaustive" means that the events A and B together cover all possible outcomes of the experiment. In other words, if A and B are collectively exhaustive, then there are no other possible outcomes of the experiment besides A and B.

In this case, we cannot determine whether A and B are collectively exhaustive just from their probabilities. It is possible that there are other events that could occur in the experiment that are not represented by A or B.

For example, if the experiment is flipping a coin, then A could represent the event of getting heads and B could represent the event of getting tails. In this case, A and B are collectively exhaustive because they cover all possible outcomes of the experiment. However, if there is a third event C that represents the coin landing on its edge, then A and B are not collectively exhaustive because there is another possible outcome of the experiment that is not represented by A or B.

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Answer:

Answer:

A

Step-by-step explanation:

g

\(g(x) = f(x - 2) + 4\)

A function assigns the value. The equation of the function g(x) will be f(x-2)+4.

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x) is a function which is shifted two units to the right and 4 units upwards. Therefore, in the function f(x) we need to add -2 to the value of the x for the function to move right, while we need to add 4 to the overall function to move it four units upwards.

Hence, the equation of the function g(x) will be f(x-2)+4.

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Answer:

The transformed points of the triangle ABC are \(A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)\), \(B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)\), \(C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)\)

Step-by-step explanation:

The new points after applying the scale factor are, respectively:

\(A' (x,y) = \frac{1}{2}\cdot (1,1)\)

\(A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)\)

\(B' (x,y) = \frac{1}{2}\cdot (9,1)\)

\(B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)\)

\(C'(x,y) = \frac{1}{2}\cdot (1,9)\)

\(C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)\)

i)It ended at  21:13

ii) 440*10/100

44 mins longer

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

110% = 440 minutes (Tuesday journey)

100% = 100/110 x 440

100% = 400 minutes (Monday journey)

Tuesday's journey took 40 minutes longer than Monday's journey.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

On Tuesday the train journey took 7 hours and 20 minutes and began at

13:53.

The time train journey ended.

= 13:53 + 7 hours + 20 minutes

= 13 hours + 53 minutes + 7 hours + 20 minutes

= 20 hours + 73 minutes

= 20 hours + 60 minutes + 13 minutes

= 20 hours + 1 hour + 13 minutes

= 21 hours + 13 minutes

This means,

= 21:13

The train ended the journey at 21:13

Tuesday's time of 7 hours and 20 minutes was 10% more than Monday's journey time.

This means,

Converting into minutes.

7 hours 20 minutes

= 60 x 7 + 20 minutes

= 420 minutes + 20 minutes

= 440 minutes

Monday's journey time.

110% = 440 minutes:

100% = 100/110 x 440

100% = 400 minutes

Thus,

Tuesday's journey took 40 minutes longer than Monday's journey.

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Answer:

35 degrees

Step-by-step explanation:

All angles of a triangle add up to 180 degrees.

180-120-25 = ?

? = 35

Answer:

35

Step-by-step explanation:

the equation of the tangent to the curve at the point where x = 1 is:

y = 8x - 6

To find the equation of the tangent to the curve at the point where x = 1, we need to determine the slope of the tangent at that point and then use the point-slope form of a line to find the equation.

First, let's find the slope of the tangent. We can do this by finding the derivative of the function f(x) = x√(1 + 3x²) and evaluating it at x = 1.

f(x) = x√(1 + 3x²)

Taking the derivative of f(x) with respect to x:

f'(x) = √(1 + 3x²) + x * (1/2√(1 + 3x²)) * (6x)

Now, we can evaluate f'(x) at x = 1:

f'(1) = √(1 + 3(1)²) + 1 * (1/2√(1 + 3(1)²)) * (6(1))

Simplifying this expression:

f'(1) = √(1 + 3) + (1/2√(1 + 3)) * 6

f'(1) = √4 + (1/2√(4))* 6

f'(1) = 2 + (1/2)(2) * 6

f'(1) = 2 + 1 * 6

f'(1) = 2 + 6

f'(1) = 8

So, the slope of the tangent at x = 1 is 8.

Now that we have the slope, we can use the point-slope form of a line, which is:

y - y₁ = m(x - x₁)

Where:

m is the slope

(x₁, y₁) is the point on the line (x = 1, f(1))

Using the point-slope form, we can write the equation of the tangent:

y - f(1) = 8(x - 1)

Now, substitute the value of f(1) into the equation:

y - f(1) = 8(x - 1)

y - f(1) = 8x - 8

Since we know that f(1) = 1√(1 + 3(1)²), we can substitute it into the equation:

y - √(1 + 3(1)²) = 8x - 8

y - 2 = 8x - 8

y = 8x - 6

Therefore, the equation of the tangent to the curve at the point where x = 1 is:

y = 8x - 6

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(a) The equation that estimates the population t years after 2010 is

P(t) = 5655(1.014)^t.

(b) Population of the town in 2022 is 6,681.

We have given that the population of a town was 5655 in 2010.

And the population grow at a rate of 1.4% annually.

(a) We have to find equation that estimates the population t years after 2010.

We know the formula for exponential growth,

P(t) = P₀(1 + r)^t

where P₀ is the initial population,

r is the relative growth rate,

t is the time unit.

Putting the values in above equation we get,

P(t) = 5655(1 + 0.014)^t

P(t) = 5655(1.014)^t

(b) Now we have to find population of the town in 2022.

Here t = 2022 - 2010 = 12

Therefore equation of growth will become,

P(12) = 5655(1.014)^12

P(12) = 6681

Hence the population of the town in 2022 is 6,681.

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John's percentile rank is 60%.

The percentile rank is a measure used to indicate the percentage of scores that fall below a particular value in a given data set. To calculate John's percentile rank, we first need to determine how many students are below his rank.

In this case, John's rank is 120, which means that 119 students are ranked higher than him, and 300 - 119 = 181 students are ranked lower than him. To find John's percentile rank, we divide the number of students ranked below him by the total number of students and multiply by 100: (181/300) x 100 = 60%.

Therefore, John's percentile rank is 60%, indicating that he scored higher than 60% of the students in his class.

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Step-by-step explanation:

I hope this answer is helpful ):

Answer (-2,-3)

Step-by-te exnation:

multiply the equation by number

Step-by-step explanation:

From the picture provided, we are shown either the radius or diameter for a circle as the question. We need to find the area and the circumference of each question and match them up.

Diameter= straight line that passes through the center of the circle

Radius = 1/2 diameter

Area of Circle : \(\pi r^{2}\)

Circumference of Circle: \(2\pi r\) or \(\pi d\)  (2r=d)

Where r = radius, d = diameter, and π can be abbreviated to 3.14

Now to find each value just plug in the values of radius or diameter into the formulas and match them up to the area and the circumference.

Answer: Be careful !

Billy is with a park ranger. Should be correct BUT

It is not given that Billy is visiting the cliff dwelling.

Billy may be the Park Ranger.

So Billy may be with a park ranger.

Step-by-step explanation:

Answer:

To solve the problem using unit rates, we can first find Lila's rate of phone calls per minute, which is given by:

rate = number of phone calls / time spent on the phone

Using the values given in the problem, we get:

rate = 24 phone calls / 72 minutes

rate = 1/3 phone calls per minute

This means that Lila routes 1/3 phone call per minute.

To find how many phone calls Lila needs to route to spend a total of 90 minutes on the phone, we can use the same rate and the formula:

number of phone calls = rate x time

Substituting the values, we get:

number of phone calls = (1/3 phone calls per minute) x (90 minutes)

number of phone calls = 30 phone calls

Therefore, Lila needs to route a total of 30 phone calls to spend a total of 90 minutes on the phone.