Synthetic Division to Find Zeros (Lev 2)
Feb 09, 5:54:37 PM
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If f(x) = 4x³ + 12x² + 5x - 6 and x + 2 is a factor of f(x), then find all of the
zeros of f(x) algebraically.
Answer: x=
33
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M
w

Answer: Length = 90 meters

Width = 20 meters

Step-by-step explanation: Step 1: The formula for the area of a rectangle is A = length x width, so we can solve for the length of the field:

A = 2000

length x width = 2000

length = 2000 / width

Step 2: The formula for the perimeter of a rectangle is P = 2(length + width), so we can solve for the width of the field:

P = 180

2(length + width) = 180

2length + 2width = 180

2width = 180 - 2length

width = (180 - 2length) / 2

Step 3: Substitute the equation for width into the equation for length to solve for length:

A = 2000

length x (180 - 2length) / 2 = 2000

2length2 - 180length + 2000 = 0

length2 - 90length + 1000 = 0

(length - 90)(length - 10) = 0

length = 90

Step 4: Substitute the value of length into the equation for width to solve for width:

width = (180 - 2length) / 2

width = (180 - 2(90))

Answer:

$29.12

Step-by-step explanation:

x - .25x = 25.95

.75x = 25.95   Divide both sides by .75

x = 34.60

the original cost of the sweater was $34.60

34.60 x .8  If you take off 20%, you are leaving on 80%

$29.12  This is the purchase price of 20% off of the original cost.

The volume of  cylinder is 25.85 cubic feet

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The formula for volume of cylinder V=πr²h

Where V is volume, r is radius of cylinder and h is height of cylinder.

The cylinder has a height of 4.2 feet and

a segment from one point on the circular base to another point on the base through the center labeled 2.8 feet, which is equal to the diameter of the circular base.

Diameter =2.8 feet

Radius =1.4 feet.

V=3.14×1.4²×4.2

V = 25.85 cubic feet

Hence, the volume of  cylinder is 25.85 cubic feet

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Answer:

b or 25.85

Step-by-step explanation: V=pir^2h

the radius is half of the diameter so it would be 1.4. then do 1.4 and square it, getting 1/96. then, multiply 1.96, 4.2, and pi, or 3.14 in this case. After multiplying those, you get 25.8484848, or 25.85.

Hope this helps!

Answer:

= $20.

Step-by-step explanation:

items pay now = x

40 : 100 = x : 50

40/100 = x/50

40× 5o = 100x

2000 = 100x

2000/100 = 100x/100

$20= x

therefore you pay $20 item that used to cost $50.

Answer:

The answer is D

Step-by-step explanation:

Answer:

The answer to the following is infinitely many.

Step-by-step explanation:

You could solve this in many ways, for instance, by simplifying it and solving it. Adding a number in the place of x, etc.

I hope this helps!

Answer:

Ryan's mistake was in multiplying the numerator and denominator of the fraction 2.6/4.8 by 14.4. This resulted in a value of 37.44 in the numerator, which is incorrect.

To correctly calculate the missing measure, Ryan should have multiplied the numerator and denominator of 2.6/4.8 by 14.4/4.8, which would simplify to 3. This gives:

2.6/4.8 = h/14.4

Multiplying both sides by 14.4:

h = 14.4 × 2.6/4.8

h = 7.8 cm

So, Ryan should have selected "3" as the denominator for the fraction 2.6/4.8.

Step-by-step explanation:

The value of x, in the solution of the system of equations, is 6.

To find the value of x in the solution for the system of equations, we need to use the substitution method. First, we need to rearrange one of the equations to solve for one variable in terms of the other. Let's rearrange the second equation to solve for y:

18 - 2y = 2x

2y = 18 - 2x

y = 9 - x

Now, we can substitute the value of y from the second equation into the first equation:

6x - 3(9 - x) = 27

6x - 27 + 3x = 279

9x = 54

x = 6

Therefore, the value of x in the solution for the system of equations is 6.

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The distribution of the data is typically considered to be skewed to the right if the median is higher than the mean.

So the distribution of the data is typically considered to be skewed to the right if the median is higher than the mean (positively skewed). In other words, the distribution's tail is longer to the right than to the left. Take the following values, for instance, 1, 2, 3, 5, 100, as part of a dataset. This dataset has a mean of 22.2 and a median of 3, with the mean being (1 + 2 + 3 + 5 + 100) / 5 = 22.2. The distribution is positively skewed with a lengthy tail of high values in this instance because the median is significantly lower than the mean. If a few extreme values in the dataset are significantly higher than the remainder of the range, the distribution may be positively skewed.

Therefore, In other words, the distribution's tail is longer to the right than to the left. Take the following values, for instance, 1, 2, 3, 5, 100, as part of a dataset. This dataset has a mean of 22.2 and a median of 3, with the mean being (1 + 2 + 3 + 5 + 100) / 5 = 22.2.

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While rolling, a wheel with a diameter of 19/2 ft makes 133 revolutions. the distance that is traveled by the wheel Use 22/7  is 3,971 ft.

The concept that wiullbe used here is circumference

The circumference of a circle can be calculated using the formula

C = (d π )

where d= diameter =19/2 ft

C=( 19/2)* (22 / 7)

= 209 / 7 ft

It should be noted that a wheel= 133 revolutions:

Then the Distance  can be calculated as :

=( 209 / 7)  * (133)

= (209 * 19 )

= 3,971 ft

Therefore, option D is correct.

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Answer: Since a cylinder has a circular base which is counted when measuring the surface area and is unchanged with a doubled height the surface area will increase but won't be doubled. It will only be doubled if the circle's radius is doubled aswell.

Step-by-step explanation:  ^^ please mark 5 star and give thanks.

The minimum number of tables that the store must sell in order to meet the requirements is 9 tables.

A system of inequality is a set of inequalities in which we perform the operations to find the range of the solution.

Given that, an online furniture store sells chairs for $100 each and tables for $550 each. Every day, the store can ship at most 21 pieces of furniture and must sell no less than $5700 worth of chairs and tables. If 10 chairs were sold, we are asked to determine the minimum number of tables that the store must sell in order to meet the requirements.

Let x be the number of chairs sold and y be the number of tables sold.

Chairs are sold for $100 each, then x chairs cost $100x.

Tables are sold for $550 each, then y tables cost $550y.

Every day, the store can ship at most 21 pieces of furniture, then,

x+y ≤ 21

Store must sell no less than $5,700 worth of chairs and tables, then

100x+550y ≥ 5700

If 10 chairs were sold, then x=10 substitute this value into both inequalities:

100·10+550y ≥ 5700

[tex]8\frac{6}{11}[/tex] ≤ y ≤ 11

Hence, the minimum number of tables that the store must sell in order to meet the requirements is 9 tables.

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Based upon this information, the value of the test statistic is 0.23.

The term "test statistic" refers to a quantity obtained from the sample and used in statistical hypothesis testing.

The sample proportion, or ratio of the sample size to the number of "yes" responses (23), would be the test statistic in this situation (100). The sample proportion is computed in the following manner:

The test statistic is p = 23/100, or 0.23.

So, 0.23 is the test statistic. The percentage of dog owners that routinely feed their dogs Woof Chow dog food is represented by this sample estimate.

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If there were two people dividing the cost of the gift, each person would spend $180. If there were three people dividing the cost, each person would spend $120. If there were five people dividing the cost, each person would spend $72. If there were ten people dividing the cost, each person would spend $36. If there were one hundred people dividing the cost, each person would spend $3.60. The rest of the answers are given below.

2. Let n be the number of people contributing to the gift and c be the total cost of the gift. Then the function that could be used to model the amount each person would spend is:

f(n) = c/n

3. (Table and graph attached)

As the number of people contributing to the gift increases, the amount per person decreases. This can be seen in both the table and the graph.

4. Domain: The function is defined for all positive integers, as it doesn't make sense to have a fractional or negative number of people contributing to the gift.

Range: The range of the function is also all positive real numbers, as the amount per person can be any positive value depending on the number of people contributing.

Increasing/decreasing: The function is decreasing, as the amount per person decreases as the number of people contributing increases.

Maxima/minima: There are no maxima or minima, as the function is continuously decreasing.

Discrete/continuous: The function is continuous.

End behavior: As the number of people contributing approaches infinity, the amount per person approaches zero.

Intercepts: The function has a y-intercept of $360, which represents the cost of the gift if only one person is contributing.

Asymptotes: There is a horizontal asymptote at y=0, which represents the limit of how low the amount per person can go as the number of people contributing increases.

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The right answer is a. The mean is bigger than the median and the mode when the data is positively skewed.

A characteristic of information that is gathered for analysis and reference is referred to as data. Numerous analytical tools can be used to measure data and facilitate conclusion-making. The data gathered is used for corporate management and scientific research, allowing management to make more informed decisions.

The right answer is a. The mean is bigger than the median and the mode when the data is positively skewed. The tail of the data set is said to point to the right when the data is positively skewed. The mean and median, on the other hand, are always lower than the mode in a distribution that is negatively skewed. Skewness, in general, is a distortion that differs from typical data collection.

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Answer: The expression (6-√)(15-√) can be simplified by using the distributive property of multiplication over addition:

(6-√)(15-√) = 6 * 15 + 6 * (-√) + (-√) * 15 + (-√) * (-√)

Expanding the first two terms:

6 * 15 = 90

6 * (-√) = -6√

Next, we'll use the identity for the product of two square roots:

(-√) * 15 + (-√) * (-√) = 15√ - √^2

Since the square root of a positive number is positive, √^2 = √. So:

15√ - √^2 = 15√ - √

Putting everything together:

(6-√)(15-√) = 90 - 6√ + 15√ - √

Combining like terms:

(6-√)(15-√) = 90 + 9√

So, the expression (6-√)(15-√) without a perfect square factor in the radicand is:

(6-√)(15-√) = 90 + 9√

Therefore, the answer is:

(6-√)(15-√) = A. 35 + 9√.

Step-by-step explanation:

Answer:

52 weeks

Step-by-step explanation:

Cousins bank account

52 x 25 = 1300

1855 - 1300 = 555

My bank account

52 x 10 = 520

520 + 35 = 555

The 2008 AP Multiple Choice AB answers and solutions can be found on the College Board website or through other online resources.

However, it is important to remember that simply looking up the answers will not help you in the long run. It is important to understand the concepts and methods behind each question in order to be successful on the AP exam.

Here are the answers to the 2008 AP Multiple Choice AB exam:

1. B
2. D
3. C
4. B
5. A
6. D
7. D
8. C
9. B
10. D
11. C
12. B
13. D
14. A
15. D
16. B
17. C
18. D
19. A
20. D
21. B
22. C
23. D
24. B
25. C
26. D
27. A
28. B

It is important to remember that simply knowing the answers will not guarantee success on the AP exam. It is important to understand the concepts and methods behind each question in order to be successful. If you are having difficulty with a particular question or concept, it is recommended that you seek out additional resources or assistance from a teacher or tutor.

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Answer:

21+35

Step-by-step explanation:

7(3+5)=7x3+7x5=21+35

The sketch for the graph is added as an attachment

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

The table of values

Next, we plot the points on the graph using the following scale on the y-axis

1 unit = 1000000000 people

See attachment for the graph

From the graph, we can see that

The curve never intersects with the y-axis

This means that

y ≠ 0

The interpretation of this is that the scientists were not able to completely turn all the zombies to human

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Answer:

Step-by-step explanation:

To graph the function h = -16t^2 + 52, we can create a table of values and plot the points:

t h

0 52

0.5 42

1 36

1.5 34

2 36

2.5 42

3 52

Then we can plot these points on a coordinate system to get the graph of the function:

Graph of h = -16t^2 + 52

To find the time at which the stick hits the ground, we need to set h = 0 and solve for t:

0 = -16t^2 + 52

16t^2 = 52

t^2 = 3.25

t = ±√3.25

Since time cannot be negative in this context, we take the positive value:

t ≈ 1.8 seconds

Therefore, the stick hits the ground after approximately 1.8 seconds.

To describe a reasonable domain and range for the function, we need to consider the context of the problem. Since the height of the stick is measured in feet, we can assume that t represents time in seconds. In this case, a reasonable domain for the function would be t ≥ 0, since time cannot be negative. For the range, we can see from the graph that the maximum height of the stick is 52 feet, and the minimum height is 0 feet (when the stick hits the ground). Therefore, a reasonable range for the function would be 0 ≤ h ≤ 52.

Answer:The population mean can be calculated by the sum of all values in the given data/population divided by a total number of values in the given data/population.

The value of angle y is 33 degrees

It is important to note the properties of a parallelogram;

Also, it is important to note that adjacent angles are equal in magnitude

From the diagram, we can see that the angles 33 degrees and y are alternating angles.

Then, the value is 33 degrees

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Answer:

The answer is 15. First, you find the number that’s four more than six- 4+6=10. Next find the number that’s two thirds of ten. If one half of ten is five, multiply that by three, and you get 15.

The number of times Esi will pick a green block is found to be 128.

The stated question is-

probability = favourable outcome / total outcome

P = 32 / 50 = 16/25

Total picks = 200

Thus,

= 200 * 16/25

= 8*16

= 128

Thus, the number of times Esi will pick a green block is found to be 128.

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Answer:

The height of the pile is increasing at a rate of 16.72 feet per minute. To solve this problem, we need to use the volume formula for a right circular cone: V=pi/3 r²h. We know that the volume is 20 cubic feet per minute, the height is 14 feet and the radius of the base is 14 feet. So we can calculate the rate of change of the height by rearranging the formula to give v/(pi/3r²). So for our example, v/(pi/3*14²)=20/(pi/3*14²)=20/(3.14*196)=20/613.44=16.72 feet per minute.

Answer:

Jose swims the faster per lap

Step-by-step explanation:

The angles that share the same sine value as sin(45°) have terminal sides in second quadrant .

The sine function relates the ratio of the length of the side opposite an acute angle to the length of the hypotenuse of a right triangle. The sine of an angle is always between -1 and 1.

The sine of 45 degrees is √2/2, which is a positive value. Since the sine of an angle is positive in the first and second quadrants, the angles that share the same sine value as sin(45°) must have their terminal sides in the first or second quadrant.

To find the angles that have the same sine value as 45 degrees, we can use the inverse sine function, also known as the arcsine function. The arcsine of √2/2 is 45 degrees or π/4 radians, which is an angle in the first quadrant.

However, since the sine function is periodic, there are infinitely many angles with the same sine value as 45 degrees, and they are all separated by integer multiples of 360 degrees or 2π radians.

Therefore, the angles that share the same sine value as sin(45°) have terminal sides in second quadrant, and can be represented by the formula:

θ = n(360°) ± 45°

or

θ = n(2π) ± π/4

where n is an integer.

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Answer: (  ll ) edgen

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

12x^3

divide both sides by 12

x^3=0

Parameters are a set of values or characteristics that help to define or limit a system or process.

In computer programming, parameters are values or arguments that are passed to a function or method to specify how it should operate. Parameters can also be used in mathematical equations, scientific experiments, and other fields to specify conditions or constraints.

For example, in the equation y = mx + b, m and b are parameters that determine the slope and intercept of the line.

In a scientific experiment, parameters might include the temperature, pressure, or other conditions under which the experiment is conducted. In computer programming, parameters can be used to specify the input data, options, or other information that a function or method needs to operate correctly.

Overall, parameters are an important tool for defining and controlling systems, processes, and functions in a wide range of fields. By specifying parameters, we can ensure that a system operates in a predictable and consistent manner, and that we can accurately measure and compare results.

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