Solve:
\(0=x^{5}+x^{4}-20x^{3}-68x^{2}-80x-32\)
Answers
The solution to the equation is x = -2, -1.46, -1, x = 5.46
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
0 = x^{5}+x^{4}-20x^{3}-68x^{2}-80x-32
Express properly
So, we have
x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0
Next, we plot the graph of x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0 to determine the solution graphically
See attachment for graph
From the graph, we have
x = -2, -1.46, -1, x = 5.46
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Related Questions
Need Help here Please!
Answers
Answer:
Step-by-step explanation:
To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:
a) To find the value of \(\sf 3(x - y) \\\):
\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)
b) To find the value of \(\sf 6x - 6y \\\):
\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)
c) To find the value of \(\sf y - x \\\):
\(\sf y - x = - (x - y) = -4 \\\)
Therefore:
a) The value of \(\sf 3(x - y) \\\) is 12.
b) The value of \(\sf 6x - 6y \\\) is 24.
c) The value of \(\sf y - x \\\) is -4.
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jan and judy are two math geniuses. jan calculates the probability that three distinct numbers chosen at random without replacement from the set below would have an even sum. judy calculates the probability that three distinct without replacement numbers chosen at random from the set below would have an even product. what is the positive difference between the two probabilities they calculate (assuming they did so correctly!)? express your answer as a common fraction. {2, 3, 5, 7, 8, 9, 10}
Answers
The positive difference between the two probabilities is 11/35.
To calculate the probability that three distinct numbers chosen at random without replacement from the set would have an even sum, Jan would consider the number of ways to choose three even numbers (4 choose 3) and divide that by the total number of combinations of three numbers (7 choose 3).
To calculate the probability that three distinct numbers chosen at random without replacement from the set would have an even product, Judy would consider the number of ways to choose three numbers such that the product is even (3 choose 2) and divide that by the total number of combinations of three numbers (7 choose 3).
The positive difference between the two probabilities would be the difference between these two calculations. In this case, 11/35 is a positive difference, meaning that the probability of having an even product is 11/35 higher than the probability of having an even sum.
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A major car manufacturer wants to test a new engine to determine if it meets new air pollution standards. Safety regulations require that the mean emission of all engines of this type must be no greater than 20 parts per million (ppm) of carbon. If it is higher than that, they will have to redesign parts of the engine. A random sample of 25 engines is tested and the emission level of each is determined. The sample mean is calculated to be 20. 4 ppm and the sample standard deviation is calculated to be 2. 0 ppm. It is known that emission levels are normally distributed with standard deviation 1. 6 ppm. We would like to test whether the true mean emission level for the new engine is greater than 20 ppm. The test statistic for the appropriate test of significance is: ________
Answers
The test statistic for the appropriate test of significance is 2.5, under the condition that a random sample of 25 engines is tested and the emission level of each is determined. Then the mean sample is evaluated to be 20. 4 ppm and the sample standard deviation is calculated to be 2.0 ppm
The test statistics can be derived into the formula
t = (x'- μ) / (s / √n)
Here,
x' = sample mean
μ = hypothesized population mean
s = sample standard deviation
n = sample size.
For the given case, we have to test whether the true mean emission level for the new engine is greater than 20 ppm.
Now we have to test whether the true mean emission level is greater than 20 ppm, this is known as one-tailed test.
Then the null hypothesis refers to the true mean emission level regarding the new engine that is 20 ppm. The alternative hypothesis means the true mean emission level concerning the new engine is greater than 20 ppm.
Applying a significance level of 0.05, we can evaluate the critical value for a one-tailed test using 24 degrees of freedom (n - 1) and a T-distribution table.
Then the critical value is 1.711.
Then the given test statistic of 2.5 is greater than the critical value of 1.711, so we have to deny the null hypothesis and conclude that there is sufficient evidence to suggest that the true mean emission level for the new engine is greater than 20 ppm.
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Factor the difference of perfect squares. 4x^2 - 1
Answers
Answer:
(2x+1)(2x-1)
Step-by-step explanation:
4x^2-1
(2x)^2-1
(2x)^2-1^2
(2x+1)(2x-1)
There are 30 giraffe and 6 penguin at the zoo. Which tatement correctly compare the two quantitie?
Answers
To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.
To compare the two quantities, you need to divide the number of giraffes by the number of penguins.
30 giraffes / 6 penguins = 5
This means that there are 5 times as many giraffes as penguins at the zoo.
There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.
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What is the solution for (x+2)²+5=0
Answers
Answer:
Step-by-step explanation:
(x+2)²+5=0
\(x^{2} +4+5 = 0\)
\(x^{2} +9 = 0\)
\(x^{2} = -9\)
x= no solution
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We know that the square of any number is greater or equal to zero Thus ;
\( ({x + 2})^{2} \geqslant 0\)
And ;
\(5 > 0\)
Sum of the two positive numbers never equal zero Thus there isn't any value for x
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Additive Inverses are numbers that add to make-101/11
Answers
The aditive inverse of a number is given by itself multiplied by -1. Then if we have any number x its additive inverse is -x and their sum is:
\(x-x=0\text{ for all values of x}\)Then theanswer is the second option, 0.
Why did the 11 people that were going to Canada with Harriet Tubman put an ashcake and salt herring in an old bandanna
Answers
The 11 people that were going to Canada with Harriet Tubman put an ashcake and salt herring in an old bandanna to keep themselves from getting hungry during their long journey.
The ash cake was made of cornmeal and water, which was cooked over an open fire. It was one of the cheapest and most convenient foods for the slaves to carry during their journey.
The salt herring was salted and preserved fish, which also provided the slaves with a good source of protein during their journey. It was also one of the cheapest and most convenient foods for the slaves to carry with them.The journey to Canada from the Southern United States was a long and dangerous one. The slaves had to walk for miles through the wilderness and forests, often in harsh weather conditions, to reach their destination.The ash cake and salt herring helped to sustain the slaves during their journey and provided them with the necessary nutrients to keep them strong and healthy.In conclusion, the ash cake and salt herring were practical and essential foods for the slaves traveling with Harriet Tubman to Canada. They helped to keep the slaves from getting hungry during their long journey, and provided them with the necessary nutrients to keep them strong and healthy.Learn more about long journey here https://brainly.com/question/1079222
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this is actually a question but shhhhh, just copy it and youll get points....Drag each description to the correct location on the table. Each description can be used more than once.
Classify each polynomial based on its degree and number of terms.
cubiccubicquarticquarticquinticquinticquadraticquadraticlinearlinearmonomialmonomialmonomialbinomialbinomialbinomialtrinomialtrinomial
Answers
The answer is what you got
cubiccubicquarticquarticquinticquinticquadraticquadraticlinearlinearmonomialmonomialmonomialbinomialbinomialbinomialtrinomialtrinomial
CASLAN CASLANis my awnser is 73.97$ what's the 6.25% tax I have to convert 6.25 to a decimalis my awnser is 73.97$ what's the 6.25% tax I have to convert 6.25 to a decimal
Answers
Answer:
ABCD is a curve, made up by line segments. AB=2cm, BC=4cm, CD=3cm.
Can AD be:
1) 1cm
2) 4cm
3) 10cm
Step-by-step explanation:
Triangle ABC ~ triangle DEF.
triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled 3.3
Determine the measurement of FD.
FD = 1.1
FD = 1.39
FD = 2.28
FD = 2.37
Answers
AB/DE = BC/EF = AC/DF
Plugging in the given values, we get:
11/3.3 = 7.9/EF = 7.6/FD
Solving for FD, we get:
FD = (7.6 x 3.3) / 11
FD = 2.28
Therefore, the measurement of FD is 2.28. The answer is: FD = 2.28.
Answer:
Measurement of FD is approximately 2.28. So the correct option is FD = 2.28
Step-by-step explanation:
To determine the measurement of FD, we can use the concept of similarity between triangles. In similar triangles, corresponding sides are proportional.
Given that triangle ABC is similar to triangle DEF, we can set up a proportion using the corresponding sides:
AB/DE = AC/DF = BC/EF
Substituting the given values:
11/3.3 = 7.6/DF = 7.9/EF
To find the measurement of FD, we can isolate DF in the proportion and solve for it.
11/3.3 = 7.6/DF
Cross-multiplying:
11 * DF = 3.3 * 7.6
Simplifying:
11DF = 25.08
Dividing both sides by 11:
DF = 25.08/11
DF ≈ 2.28
Therefore, the measurement of FD is approximately 2.28. So the correct option is FD = 2.28.
Just need 1 answered
Answers
Help pleaseeeee. ill give 10 points
a sample of the students at a middle school is selected by writing the name of every student in the school on a slip of paper and putting all the names into a bin. the bin is then rotated to mix the slips of paper and 25 names are drawn without looking. if the bin is rotated after every draw, which kind of sampling method is this?
a. non-random sampling
b. simple random sampling
c. stratified random sampling
d. systematic random sampling
Answers
Answer:B
Step-by-step explanation: it's because you're choosing random peoplepeoplepeople
68 is the product of Victor's savings and 4.
Answers
Just tell me the equation and ill answer it
need help ASAP
please help
Answers
Answer:
B. x = 43Step-by-step explanation:
Given is an isosceles triangle.
Sum of interior angles is 180°:
x + x + 94° = 180°2x = 180° - 94°2x = 86°x = 43°Correct choice is B
Solve 3(3x - 5) =21
Answers
Answer:
x=4
Step-by-step explanation:
let w be a random variable giving the number of minus the number of in three tosses of a coin. assuming that a is as likely to occur, find the probability distribution of the random variable w.
Answers
The stochastic process w's probability density function will look like this; W = 3: P(HHH) = (2/3)3 = 8/27
P(HHT) + P(HTH) + P(THH) = 3(2/3)2(1/3) = 12/27 = 4/9 W = 2
P(HTT) + P(THT) + P(TTH) = 3(2/3)(1/3) when W = 1.
3 = 6/27 =2/9
W = 0: P(TTT) = (1/3)
3 = 1/27
How does one calculate the probability of a random vector?
Step 1: Create a list of all simple events in the sample space. Step 2: Determine the likelihood of each simple event. Step 3: Determine the value with each simple event by listing all unique combinations for random variable X. Step 4: For each possible value of k, find all simple occurrences for which X = k.
When three coins are tossed at the same time, what is the likelihood of getting all heads?
When three coins are tossed, the positive outcome is HHH. As a result, the required probability equals 1/8.
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how many inches of snow does it take to equal the moisture in 1 inch of rain
Answers
(1 point)
The two box plots summarize the number of hours spent in the weight room for all the players on the football team
for two different high schools. Which of the statements must be true about the distribution of data represented in the
boxplots?
school 1
school 2
2
18
4 6 8 10 12 14 16
hours in the weight room
Oь
OC
Players at school 1 typically spent more time in the weight room than players at school 2.
The middle half of the data for school 1 has more variability than the middle half of the data for school 2.
The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both
schools are equal.
The total number of hours spent in the weight room for players at school 2 is greater than the total number of hours for players
at school 1.
Od
Question 21 point)
Answers
*the box plots are shown in the attachment below.
Answer:
The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both.
Step-by-step explanation:
Median on a box plot is depicted by the vertical line that divides the rectangular box into 2.
The median hours for school 1 = 8
The median hours for school = 9
Interquartile range on a box plot is the range of the rectangular box.
Interquartile range for school 1 = 10 - 4 = 6
Interquartile range for school 2 = 12 - 6 = 6
Therefore, it is true that the median hours spent by school 1 (8 hrs) is less than the median hours spent by school 2 (9 hours).
It is also true that the jnterquartile range for school 1 and school tok are also equal (6).
 WHO KNOWS FUNCTIONS AND ALL THAT PLZZZ HELP ME ASAP I REALLY NEED IT PLZZ
Answers
Answer: Linear, Nonlinear, Linear, Nonlinear
Step-by-step explanation:
First 1: as x increased y also increased which means the thing is a line hint linear
Second 1: According to the points (u can graph them out if u want to) it goes down then up which isn't a straight line hence quadratic or nonlinear
Third 1: first degree hint linear
Fourth 1: Absolute value thing looks like a V when u plot it so its not linear
Xoca-COLOR1. Determine if the value of the given variable is a solu(6 points each)a) *x+5 -3(x + 2) -^(3) +5=143) +.241215for 2-3nources7729 +0-42ho4-4-4x+5=3(x+2)=-4
Answers
Solving:
4x+5=3(x+2)-4
4x + 5 = 3x + 6 - 4
4x + 5 = 3x + 2
collect like terms, we have:
4x - 3x = 2 - 5
x = -3
Jose can type 30 words in 6 minutes.
What is his rate in words per minute?
Answers
Answer: 180 wpm
Step-by-step explanation: 30x6=180
Answer:
5 words a minute
Step-by-step explanation:
30 words in 6 minutes= 30 words/6 minutes= 5 words a minute.
Check:
5 words/minute * 6 minutes= 30 words/minute
Which financial tool is most important when planning for your future financial goals?
Enrolling in a checking account
Creating a budget
Mortgaging a house
Taking on extra debt
Answers
When it comes to future financial goals, the most important tool is Creating a budget.
Creating a budget allows one to:
Track their expenses Plan for all costs Have better knowledge of their financial capabilitiesAll of these are important to fulfilling future financial goals as they help one find out what investments they can go in on to finance their future goals.
In conclusion, creating a budget is immensely important.
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Financial objectives are monetary milestones that you want to achieve, such as saving for a wedding or paying off college loans. Setting goals might help us gain control over our activities and feel more confident about them.
The financial tool that is most important when planning for future goals is Creating a budget.
A budget is termed a written document that specifies where you want to invest your funds.
A budget assists you in ensuring that you will have sufficient funds each month. You can lose a lot of money before your next payday if you don't have a budget.
A budget reveals how much income you generate and how you invest it. Gather your bills and payslips to develop a budget. Consider how you spend money other than paying your bills.
When you get your bills and pay stubs, do the following:
Make a list of your expenses. An expense is a sum of money that you spend. Make a list of how much money you earn. This is referred to as earnings. Subtract your expenses from your gross income. You are spending more money than you are making if the amount is less than zero.To know more about the financial goals and the tools, refer to the link below:
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PLEASE ANSWER QUICKLY !!!! thank you and will give brainliest if correct!
Answers
Answer:
b
Step-by-step explanation:
14 - За = -а
What would be the answer?
Answers
Answer:
7
Step-by-step explanation:
collect like terms
14=-a+3a
2a=14
dividing both sides
a=7
Answer:
A=7
Step-by-step explanation:
You wanna add the -3a into the other -a but you'd be adding that -3a. You would end up getting 14=2a,then you would divide that 2 into itself and the 14 giving you a=7
For the following number, give the opposite, the reciprocal, and the absolute value. \( -\frac{4}{5} \) opposite value \( = \) reciprocal value \( = \) absolute value \( = \)
Answers
The opposite value \((= \frac{4}{5})\), reciprocal value\((=-\frac{5}{4})\), and absolute value \((=\frac{4}{5})\) of the fraction.
The opposite of \((-\frac{4}{5})\) is\((\frac{4}{5})\), which is the same distance from zero on the number line but in the opposite direction.
The reciprocal of \((-\frac{4}{5})\) is \((-\frac{5}{4})\), which is obtained by flipping the numerator and denominator.
The absolute value of \((-\frac{4}{5})\) is\((\frac{4}{5})\), since the absolute value of a number is its distance from zero on the number line, regardless of its sign.
Therefore, opposite value\((= \frac{4}{5})\), reciprocal value \((=-\frac{5}{4})\), and absolute value \((=\frac{4}{5})\).
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Rich Borne teaches Chemistry 101. Last week he gave his students a quiz. Their scores are listed below. 24 31 47 29 31 16 48 41 50 54 37 22 54 38 7 16
Answers
The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz
To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.
By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.
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for the first 11 months of this year , Dan's sales averaged 24,870 a month. What must be Dan's sales for the next month if he wants his monthly average for the year to be 25,000
Answers
Dan's sales for the next month if he wants his monthly average for the year to be 25,000 is 36430.
How to calculate the value?Since for the first 11 months of this year , Dan's sales averaged 24,870 a month. The total amount will be:
= 11 × 24870
= 273570
Since Dan's sales for the next month if he wants his monthly average for the year to be 25,000, the amount will be:
= 12 × 25000
= 300000
Therefore, the amount for the next month will be:
= 300000 - 273570
= 26430
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Find the solution to the following equation.
5x + 7 - x - 2 = 6x + 3x – 16
Please explain
Answers
Answer:
21/5 =x
Step-by-step explanation:
5x + 7 - x - 2 = 6x + 3x – 16
Combine like terms
4x +5 = 9x - 16
Subtract 4x from each side
4x+5 -4x = 9x-4x-16
5 = 5x-16
Add 16 to each side
5+16 = 5x-16+16
21=5x
Divide each side by 5
21/5 = 5x/5
21/5 =x
Ms. Lama marked the price of a a cosmetic items 25% above it's cost price. if the cost price of the cosmetic items was Rs.4400 at what price did she sell it with 13%VAT?
Answers
Appling percentages, if Ms. Lama marked the price of a a cosmetic items 25% above it's cost price and the cost price of the cosmetic items was Rs.4400 sold with 13% VAT, the selling price is $6,215.
How the selling price is computed:The selling price is determined by increasing the cost price by the markup percentage and then the VAT percentage.
Cost price of the cosmetic items = Rs.4,400
Markup = 25%
Markup factor = 1.25 (1 + 0.25)
Marked up price = Rs.5,500 (Rs.4,400 x 1.25)
VAT = 13%
Markup ith VAT factor = 1.13 (1 + 0.13)
Selling price = Rs.6,215 (Rs.5,500 x 1.13)
Thus, Ms. Lama sold the cosmetic items at Rs.6,215, 13% VAT inclusive.
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