Answers
For the expression to be equal to the original one, we have;
[(x + 1) * 5(x - 1)(x + 4)]/[(x - 1) * 7x]
How to Simplify Algebraic Expressions?
We are given the algebraic expression;
(5x² + 25x + 20)/(7x)
Now, looking at the numerator, a common factor to all terms is 5. Thus, we will factorize it out to get;
5(x² + 5x + 4) = 5((x + 1)(x + 4))
Now, we see that the expression that simplifies the algebra is given as;
[(x² + 2x + 1) * ( )]/[( ) * (7x² + 7x)]
Now, the numerator and denominator can be factorized to get;
[(x + 1)(x + 1) * ( )]/[( ) * 7x(x + 1)]
Thus, x + 1 will cancel out to get;
[(x + 1) * ( )]/[( ) * 7x]
For the expression to be equal to the original one, we have;
[(x + 1) * 5(x - 1)(x + 4)]/[(x - 1) * 7x]
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Related Questions
Solve √5r - 9 - 3 = √r +4-2
Answers
Answer:
r = 5
Step-by-step explanation:
Solving radical equations often results in extraneous solutions. These can be avoided by using a graphing calculator for the solution.
GraphThe attached shows that the value of r that makes both sides of the equation have the same value is r = 5.
Check:
√(5·5 -9) -3 = √(5 +4) -2 ⇒ 4 -3 = 3 -2 . . . true
Analytical solutionSolution of an equation like this is typically done by isolating the radical expressions, then squaring the equation.
We can add 3, square the equation, then isolate the radical and square again:
[tex]\displaysyle \sqrt{5r-9}-3=\sqrt{r+4}-2\\\\\sqrt{5r-9}=\sqrt{r+4}+1\qquad\text{add 3}\\\\5r-9=(r+4)+2\sqrt{r+4}+1\qquad\text{square both sides}\\\\(4r-14)^2=4(r+4)\qquad\text{subtract $(r+5)$ and square again}\\\\16r^2-116r+180=0\qquad\text{rewrite in standard form}\\\\4(4r -9)(r -5) = 0\qquad\text{factor}\\\\r=\{\dfrac{9}{4},\ 5\}\qquad\text{solutions to the factored form}[/tex]
Trying these values in the original equation, we get ...
√((5(9/4) -9) -3 = √(9/4 +4) -2 ⇒ 1.5 -3 = 2.5 -2 . . . . . false
√(5(5) -9) -3 = √(5 +4) -2 ⇒ 4 -3 = 3 -2 . . . . . true
The solution is r = 5.
A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. what is the probability that the lock code consists of all even digits?
Answers
Probability that the lock code consists of all even digits is [tex]1344[/tex] if we choose the [tex]4[/tex] digit lock is randomly from numbers [tex]1,2,3,4,5,6,7,8,9[/tex]
How can we find the probability that the lock code consists of all even digits?
Total numbers are [tex]1,2,3,4,5,6,7,8,9[/tex]
And we choose [tex]4[/tex] digit code
So probability of choosing [tex]4[/tex] numbers from [tex]9[/tex] numbers without reapitation is
[tex]9p_{4} =\frac{9!}{(9-4)!} \\=\frac{9*8*7*6*5!}{5!} \\=3024[/tex]
For All numbers are even , probability the last digit of number is even.
So we have [tex]4[/tex] even number and if we fix one on last digit and can change other [tex]3[/tex] then the probability is
[tex]4*8P_{3} =4*\frac{8!}{(8-3)!} \\=4*\frac{8*7*6*5!}{5!} \\=1344[/tex]
So the total probability of code lock having all even number is [tex]1344[/tex]
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Are the ratios 2:1 and 14:6 equivalent?
yes
no
Answers
some one help me please
Answers
Answer:
(0,3)
Step-by-step explanation:
The y-intercept is the point where the line touches the y-axis and x is 0.
Answer:
(0,3)
Step-by-step explanation:
The y-intercept is when the line crosses the y-axis, in this case the point is at (0,3)
Three times got the prize money worth $126,000. the first friend would get three times the amount of the third friend's portion. the third friend would get twice the amount of the second friend's portion. determine the amount that each friend would receive.
Answers
128000.
Let the three frithe ends x, y, z x is the first friend y is secmy ond friend
z is third friend
X+y+z=128000
x=4z
z=3y
x=4(3y)=12y put values of x and z in the first equation we got
12y+y+3y=128000
16y=128000
= 128000 - = 8000 16
Put the y value in equation 3 wee got
z=3*8000=24000
Put the z value in equation 2 we got
x=4*24000=96000
8000+24000+96000=128000.
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A margin of sampling _______ is a statistical calculation for how accurate a poll's results are. quizlet
Answers
A margin of sampling "error" is a statistical calculation for how accurate a poll's results are.
What is sampling error?A population parameter's sampling error is the discrepancy between the sample statistic used to estimate it and the parameter itself. For instance, sampling error is the variance between a population mean and a sample mean.
The sampling errors can be placed into four categories:
population-specific error: The researcher makes a population-specific error when they are unsure of the appropriate population to sample. When respondents choose to participate in the study on their own, a selection error arises. (This limits responses to those who are interested, which spoils the results.)selection error: The sampling error for a sample chosen using a non-probability method is known as selection error. Selection error can result when participants opt to self-participate in a study and only those who are interested reply, as there may already be an underlying bias.sample frame error: When the incorrect sub-population is utilized to select a sample, a sample frame error happens. Last but not least, a non-response problem happens when potential responders cannot be reached or refuse to respond.non-response error: Non-response error is a mistake that happens when a survey doesn't receive a response to one or more questions.To know more about the sampling error, here
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Question 1
Which equation represents the relationship shown in the table
at the right?
Answers
Answer:
Step-by-step explanation:
b = a + b table chart what equation represents the relationship between a and b shown in the table .
find (f•g) (k) equations in red letters
Answers
The answer is (f . g)(x) = - (34k + 17k⁷ + 17k⁵ + 40k³ + 20k² + 60).
Remember that :
(f . g)(x) = f(x) × g(x)
Hence :
(f . g)(x) = (2k³ + k² + 3)(-17k⁵ - 20)(f . g)(x) = -34k⁸ - 17k⁷ - 17k⁵ - 40k³ - 20k² - 60(f . g)(x) = - (34k + 17k⁷ + 17k⁵ + 40k³ + 20k² + 60)Find the missing values
Answers
Answer:
5
Step-by-step explanation:
5×(-4)=20
5×3=15
5×0.5=2.5
5×5=25
5×0=0
5×(-2)=-10
There are 26 prize tickets in a bowl, labeled A to Z. What is the probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen? Does this represent an independent or dependent event? Explain.
Answers
The probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen is 0.031 or 3.1%. The events are dependent events.
Given that there are five vowels, which come from the letters A, E, I, O, and U, the likelihood of drawing a vowel is:
5/26
since there are a total of 26 alternatives available. After choosing that, we are left with 25 alternatives, 4 of which are vowels, thus the probability is:
4/25
The final likelihood is thus:
5/26 * (4/25) = 0.031
In other words, the likelihood is 3.1% when choosing a vowel and then another (without replacement).
The first event has an impact on the second event since there are fewer vowels and overall possibilities, hence the events are dependent.
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a bar of dark chocolate is advertised to contain 60 % of pure cocoa the total weight of the bar is 8 ounces how many ounces if the bar are pure cocoa
Answers
Answer:
4.8
Step-by-step explanation:
60 percent of 8 is 4.8
I hope this helps!
A sample of college students was asked how much they spent monthly on cell phone plans. approximate the standard deviation for the
cost.
monthly cell phone plan cost (5)
number of students
10.00-19.99
7
20.00-29.99
20
30.00-39.99
28
40.00-49.99
12
50.00-59.99
7
Answers
The mean and the standard deviation of the following data are 35.75 and 11.6765 respectively.
First, we'll find the mean (X) of the data:
[tex]X =\dfrac{(\sum x \times f) } {\sum f}[/tex]
So, the approximate standard deviation for the monthly cell phone plan cost is 9.87.
The mean is given by
[tex]\mu =\frac{\sum xf}{\sum f}[/tex]
Where x is the midpoint of the class and f is the frequency.
The calculation of mean and the standard deviation is shown in the below table:
Hence, the mean is calculated as:
mean is [tex]\mu =\frac{2359.67}{66}[/tex]
=35.75
The standard deviation is calculated as:
Standard deviation =[tex]\sigma[/tex] =[tex]\sqrt{\Dfrac{\sum f(x-\bar{x})^2}{n-1}}[/tex]
=[tex]\sqrt{\dfrac{8862.12121}{65}}[/tex]
=11.6765
Thus, the mean and the standard deviation are 35.75 and 11.6765 respectively.
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The table of standard deviation is attached below.
What is the missing letter in the pattern below?
t, s, r, q, _, o, n, m,...
A. u
B. p
C. l
D. v
Answers
The missing letter is p. The correct option is B. p
Letter patternFrom the question, we are to determine the missing letter in the given pattern
The given pattern is
t, s, r, q, _, o, n, m,...
Consider the English alphabet
a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z.
If we study the pattern, we will realize that the alphabets are in the reverse order.
Hence, the missing letter is p. The correct option is B. p
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How much wood is needed to replace the entire roof of this gazebo that is in the
shape of a right pyramid on top of a regular octagon? (Note: The roof's base does
not require wood.)
Answers
formula 1/2(b*h)n
1/2(6*8)8
1/2(48)8
24*8
192
Suppose the probability that a Wide Receiver catches a ball thrown to him is 0.9. Let X model the number of catches he has if he is targeted 8 times in a game. What is the mean number of balls you would expect him to catch
Answers
Using the binomial distribution, the mean number of balls you would expect him to catch is of 7.2.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
For this problem, the parameters are:
n = 8, p = 0.9.
Hence the mean is:
E(X) = np = 8 x 0.9 = 7.2.
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Determine the explicit formula for the sequence 4, 7, 14, 25
Answers
Step-by-step explanation:
You already know that we use tn=an²+bn+c for these kinds of sequences:
4, 7, 14, 25, ...
7–4=314–7=7now
7–3=4
So 2a=4===> a=2
[tex] a_{1} = 4 = = > n = 1 \\ 4 = 2 \times {1}^{2} + b + c = = = = > \\ b + c = 2[/tex]
[tex] a_{2} = 7 = = > n = 2 = = = > \\ 7 = 2 \times {2}^{2} + 2 \times b + c = = = > \\ - 1 = 2b + c[/tex]
b+c=22b+c=–1b=–3, c=5
So the final result is:
[tex] t_{n} = 2 {n}^{2} - 3n + 5[/tex]
Translate the following into an algebraic expression:
22 decreased by y%
Answers
Answer:22-0.22y
Step-by-step explanation: we have to decrease 22 by y%
we need to calculate what is y% of 22. y% of 22 simply means y% into 22 that is y% x 22
= 0.01(y) x 22
= 0.22y
= 22 - 0.22y
A relationship between two variables in which the variables vary in the opposite direction (i.e., one increases while the other decreases, or vice versa) is referred to as a:
Answers
A relationship between two variables in which the variables vary in the opposite direction (i.e., one increases while the other decreases, or vice versa) is referred to as a negative correlation.
What is negative correlation?When two variables move in opposite sizes and directions from one another, so that when one increases, the other drops, and vice versa, this is referred to as having a negative correlation or inverse correlation.
In order for investors to profit from price increases in some assets when others decline, negative correlation is used when building diverse portfolios.
Over time, the correlation between two variables might change significantly. Bonds and stocks typically have negative correlation.
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Tara has read 95%, percent of the books she owns. if tara owns 160 books, how many of her books has she not read?
Answers
Answer:
8 books have not been read.
Step-by-step explanation:
Let X be the number of books Tara owns.
We learn that she has read 95%, which would mean (0.95)*(X) have already been read.
5% have not been read. 5% 0f 160 books equals (0.05)*(160) = 8 books have not been read. Impressive.
If the farmer isn't present, the fox cannot be left with either the dog or the goose, or both. if need be, the goose can be left with the grain provided the dog is present because the dog will guard the grain and won't eat the goose. help the farmer cross the river.
Answers
Answer:
See below
Step-by-step explanation:
Take fox across
go back to get goose
take goose across
take fox BACK
grab dog.....take dog across
go back get grain and take it across
go back get fox and take it across
Volume=
Help me please thanks so much :)
Answers
The volume of the oblique cylinder is 6867.18 cubic units
How to determine the volume?The given parameters are:
Height = 27
Radius = 9
The volume is calculated as:
[tex]V = \pi r^2 h[/tex]
So, we have:
[tex]V = 3.14 * 9^2 * 27[/tex]
Evaluate
V = 6867.18
Hence, the volume of the oblique cylinder is 6867.18 cubic units
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One number is 4 more than another, and their sum is 60.
If x = the larger number and y = the smaller number, then which of the following systems could be used to solve for the value of the smaller number?
Answers
The larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60. This can be obtained by forming algebraic equation and finding
Calculate the value of the numbers:Given that one number is 4 more than another,
⇒x = y + 4 (equation (1))
Their sum is 60,
⇒x + y = 60
y + 4 + y = 60 (From (1))
2y + 4 = 60
2y = 56 ⇒ y = 28
x = y + 4 = 28 + 4 ⇒x = 32
Hence the larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60.
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Is 1/11 a irrational number?
Answers
Answer:
No
Step-by-step explanation:
Am irrational number is a number that can't be expressed by a ratio (fraction). 1/11 is a fraction so it is rational, not irrational.
Directions: The soccer team at your school wants to spray paint a design on the middle of the
playing field. The design will include this soccer ball. You have been asked to enlarge the drawing of
this ball to use for the painting on the field. Using the Text Editor and information you learned in this
Unit, write a brief essay in which you explain how to accurately enlarge or reduce the size of objects
such as the soccer ball. Include the steps that should be taken in order to complete a project like this,
and use concepts discussed in this Unit to support your plan. For example, you may want to include
scale factor, proportions, dilations, and similarity.
Answers
The steps that can be used to increase the ball is:
Scale factor = [tex]\frac{Scale diagram}{Original}[/tex]
What is Scale Factor?This refers to the measure for similar figures that is used to show the scale through which a figure is bigger or smaller than another.
Hence, we can see that from the given image, one can increase the size of the ball by making use of the scale factor which measures the scale diagram and then divides it from the original and this would retain the dimension but would make it larger.
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Erin tried to evaluate an expression step by step.
8 x 2 x 5
Step 1
=8×2×5
Step 2
=8×(2×5)
Step 3
=16×10
Answer
=160
Find Erin's mistake.
Need Answer Soon As Possible Please!
Answers
Answer:
step 2
Step-by-step explanation:
Erin's mistake is in step 2 it should be 8*2 first and 16* 5 which equals to 86
Given a population mean of 56.7, a standard deviation of 4.3, and a sample size of 260, what is the standard error of the mean? round
your answer to the nearest hundredth.
the standard error of the mean is approximately___.
Answers
The standard error of the mean, rounded to the nearest hundredth is 0.27
What is standard error of mean?The standard error of the mean (SEM) calculates how big of a difference there is between the mean of a sample and the mean of the population.
The square root of the sample size is divided by the standard deviation in order to obtain the Standard error of mean.
Always, standard error of mean will be smaller than standard deviation.
But a statistical inference based on the sampling distribution is part of the Standard error of mean definition.
According to the question,
Population Mean=56.7
Standard Deviation=4.3
Sample Size=260
Standard Error of mean=4.3/[tex]\sqrt{260}[/tex]
=4.3/16.1245
=0.27
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Answer:
0.27
Step-by-step explanation:
Plato/Edmentum
Which fractions are equal to 2/3?
Check all that are true.
1
3
6
9
4
6
1
6
3
2
Answers
Answer:
It's the correct answer
PLEASE MARK AS BRAINLIEST
Step-by-step explanation:
Equivalent fractions of 2/3 : 4/6 , 6/9 , 8/12 ,
THX
Don't forget to mark me as brainliest
A paragraph proof
uses inductive reasoning to prove a statement.
contains a table with a logical series of statements and reasons.
uses a visual chart of the logical flow of steps needed to reach a conclusion.
contains a set of sentences explaining the steps needed to reach a conclusion.
Answers
A paragraph proof D. contains a set of sentences explaining the steps needed to reach a conclusion.
What is a paragraph proof?It should be noted that a paragraph proof simply means a way of presenting a mathematical proof.
In this case, it contains a set of sentences explaining the steps needed to reach a conclusion.
In conclusion, the correct option is D.
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Answer:
D: contains a set of sentences explaining the steps needed to reach a conclusion.
Suppose the average commute time of your employees is unknown. The standard deviation of their commute time is estimated as 24.5 minutes. How many employees must be included in a sample to create a 90 percent confidence interval for the average commute time with a confidence interval width of no more than 13 minutes
Answers
The number of employees is 91.
According to the statement
Given that the standard deviation = 24.5
The width in the question = 13
We solve for the margin of error E.
E = width / 2
E= 13/2 = 6.5
At 90%
Alpha = 1-0.90
= 0.1
Alpha/2 = 0.1/2 = 0.05
Z 0.05 = 1.576
Now find the Sample size n
= ((1.576x24.5)/2)²
= 90.8
= 91
So, The number of employees is 91.
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help me please im in a rush
Answers
Answer:
The answers are in the image
Step-by-step explanation:
The solutions are in the image