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
Submit Answer
DELL
M
w
Answers
x=-2, x= -3/2, x=1/2
Related Questions
10. You have $35 in your bank account and deposit $10 each week. At the same time, your cousin has
$1855 in his account, but is withdrawing $25 each week. How many weeks will it take for both account
balances to be the same?
Answers
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
two cylinders have the same size base but one is twice as tall. explain why the tallest cylinder does not have double the surface area
Answers
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.
Question 8 of 1
While rolling, a wheel with a diameter of 19/2 ft makes 133 revolutions. Find the distance that is traveled b
the wheel. Use 22/7 for TT.
1,985.5 ft
4.45 ft
O9,431.13 ft
O 3,971 ft
Question 9 of 10
Answers
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.
How can the distance that is traveled by the wheel be determined?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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Esi does an experiment where she picks a block out of a bag without looking 50 times, putting it back each time.
She picks a green block 32 times.
Out of 200 picks, how many times do you predict Esi will pick a green block?
Answers
The number of times Esi will pick a green block is found to be 128.
Explain about the term probability?A probability is a mathematical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages extending from 0% to 100% may be utilized to describe probabilities.The stated question is-
Esi conducts an experiment in which she removes a block from a bag 50 times without looking at it before putting it back.32 times, she selects a green brick.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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what is parameters ?
Answers
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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A store is going out of business. Everything is marked down by 40%. How much do you pay now for an item that used to cost $50?
Answers
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.
In the parallelogram below, y= ? Degrees
Answers
The value of angle y is 33 degrees
How to determine the value of the angleIt is important to note the properties of a parallelogram;
The opposite sides are equal and are parallelThe opposite angles are congruent The consecutive or adjacent angles are supplementary to each otherIf any one of the angles is a right angle, then all the other angles are right angleThe two diagonals bisect each other at 90 degreesAlso, 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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Help on this worksheet please
Answers
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.
How to determine function?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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Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base
diameter and height are always the same. How fast is the height of the pile increasing when the pile is 14 feet high? Recall that the volume of a
right circular cone with height h and radius of the base r is given by V=pi/3 r²h.
Your answer: ______
feet per minute.
Answers
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.
Two third of a number is 4 more than 6. Find the number and explain how you got it
Answers
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.
Solve for x using the Master Product.
6x²x2=0
Answers
Answer: 0
Step-by-step explanation:
12x^3
divide both sides by 12
x^3=0
The angles that share the same sine value as sin(45°) have terminal sides in quadrant .
Answers
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:
Write an expression for the product (6–√)(15−−√)
without a perfect square factor in the radicand.
A. 35–√
B. 310−−√
C. 95–√
D. 910
Answers
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:
Woof Chow Dog Food Company believes that it has a market share of 25 percent. It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food, and 23 people say yes. Based upon this information, what is the value of the test statistic?
Answers
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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Ryan calculated the missing measure in the diagram shown. What was his mistake?
2.6
4.8
=
h
14.4
14.4 ×
2.6
4.8
=
h
14.4
× 14.4
37.44
4.8
= h
7.8 = h
Ryan should have
(select)
14.4 and 4.8 to get a denominator of
on the right side of the first line. Doing so gives the correct value, h =
cm.
Answers
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:
A bird drops a stick from a height of 52 ft. The function h=-16t^2+52 gives the sticks approximate height h above the ground, in feet, after the seconds. Graph the function. About what time does the stick hit the ground?use inequalities to describe a reasonable domain and range for the function.
Answers
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.
sketch a graph for days 0-9
Answers
The sketch for the graph is added as an attachment
The sketch for the graphFrom 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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When data are positively skewed, the mean will usually be:a. greater than the medianb. smaller than the medianc. equal to the mediand. positiveData:Data refers to a characteristic of information that is collected for analysis and reference purposes. Data can be measured through various analytical tools to enable one to draw a conclusion. Data collected is used in scientific research and business management; thus, enabling the management to make better-informed decisions.
Answers
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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Fill in the blank question. A clothing store recently had a 25% off sale during which Monica bought a sweater for $25.95. After the sale had expired, Colleen used a coupon good for 20% off the regular price to buy the same sweater. How much did Colleen pay for the sweater before tax? Round to the nearest cent.
Answers
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.
Anna has a part-time job at a bookstore.
She earned a total of $66 in 2 wk. During
the first week, she earned $18 more than
the second week. How much did Anna
earn in each of the 2 wk?
Answers
What is the value of x in the solution for the system of equations 6x−3y=27 and 18−2y=2x ?
Answers
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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What is the volume of the cylinder? Round to the nearest hundredth and approximate using π = 3.14. cylinder with a segment from one point on the circular base to another point on the base through the center labeled 2.8 feet and a height labeled 4.2 feet.
10.39 cubic feet
25.85 cubic feet
36.93 cubic feet
73.85 cubic feet
Answers
The volume of cylinder is 25.85 cubic feet
What is Three dimensional shape?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!
brainliest, 100 points, and multiple choice!!!!!!!
Answers
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!
6. The area of a rectangular field is 2000 meters and its perimeter is 180 meters. Find the length
and width of the field.
Answers
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))
What is 2008 AP Multiple Choice AB answers and solutions?
Answers
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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how do you find the population mean for a set of data?
Answers
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.
7(3+5)___+___
and Its not 7+8 I need help
Answers
Answer:
21+35
Step-by-step explanation:
7(3+5)=7x3+7x5=21+35
What if median is higher than mean skewed?
Answers
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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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, determine the minimum number of tables that the store must sell in order to meet the requirements.
Answers
The minimum number of tables that the store must sell in order to meet the requirements is 9 tables.
What is a system of inequality?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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Tyler can swim 5 laps of the school pool in 3 minutes, Jose can swim 6 laps in 4 minutes, and Kevin can swim 4 laps in 2 minutes. Who is the fastest swimmer? A Tyler B Jose C Kevin D They all swim at the same speed.
Answers
Answer:
Jose swims the faster per lap
Step-by-step explanation: