Consider polynomials P and Q.
P = 8y^4 + 6y^3 + 8y
Q = (5y^2 - 4y)(3y^2 + 7)
Which operation results in an expression equivalent to 23y^4 - 6y^3 + 35y^2 - 20y4?
A. PQ
B. P - Q
C. Q - P
D. P + Q
Answers
Answer:
Answer C
Step-by-step explanation:
I took this quiz and I got it right
According to the polynomial expressions the given operation is performed which matches the equivalent result:
D. P +Q
What are Polynomials?
Polynomials are expressions which consist of variables, coefficients, constants and exponents, usually expressed in addition, subtraction or multiplication operations.
For example:
8y⁴ + 6y³ + 8y
In this equation we have coefficients: 8, 6 and 8
Exponents: 4 and 3
Variable: y
Hence,the question consists of polynomial functions in the variable y with different degrees.
Given
P = 8y⁴ + 6y³ + 8y
Q = (5y² - 4y)(3y² + 7)
We are asked to find which operation among the given list matches the equivalent result i.e 23⁴ - 6y³ +35y² - 20y4
Solution:
P = 8y⁴ + 6y³ + 8y
Q = (5y² - 4y)(3y² + 7)
step 1:
Open the brackets of the Q polynomial
Q = (5y² - 4y)(3y² + 7)
Q= (5y²)(3y²) + (5y²)(7) - (4y)(3y²) - (4y)(7)
Q= 15y⁴ + 35y² - 12y³ - 28y
Step 2:
Now add both P and Q
P+Q
(8y⁴ + 6y³ + 8y ) + (15y⁴ + 35y² - 12y³ - 28y)
we get the answer as:
23y⁴ - 6y³ + 35y² - 20y
Hence the solution of the addition operation we performed is equivalent to 23y⁴ - 6y³ + 35y² - 20y
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Related Questions
help me out i will give brainlist
Answers
Answer:
no
Step-by-step explanation:
0.06 = \(\frac{6}{100}\) ← that is 6 books out of 100
she requires to have 60 out of 100 , that is
\(\frac{60}{100}\) = 0.6
bowling team member distribution stronglys kewed right srs taken what is sampling distribution of sample mean hight
Answers
To recap, as long as the sampling size is large enough, the distribution of the means will be essentially normal. This discovery is most likely the most important result offered in beginning statistics courses. It is known technically as the Theorem of Central Limits.
When we use sample means to establish inferences about a population mean, we will repeatedly rely on the Central Limit Theorem. We now know that we can do it even if the population distribution is not regular.
How large a sample size do we need to assume that group means will be normally distributed? As we showed in the simulation, it all depends on the population demographics. The general rule
Generally, samples of size 30 or higher will have a fairly normal distribution, regardless of the shape of the variable's distribution in the population.
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richard works at a retail shop. he makes $9 an hour, plus $2 for each membership he sells. letimage represent the number of memberships sold andimage represent the total amount of money he will make in an hour. which equation below represents this situation?
Answers
The equation to represent the total amount of money Richard make in an hour is y = 9 + 2x .
In the question ,
it is given that ,
Richard is working at a retail shop ,
let the number of membership sold in an hour be = "x" ,
let the total amount of money earned be = "y" .
amount of money earned in hour = $9 ,
amount that he gets for each membership sold = $2 .
So , According to the question ,
the equation that represent the given situation is given as
y = 9 + 2x
Therefore , the equation for the situation is y = 9 + 2x .
The given question is incomplete the complete question is
Richard works at a retail shop. he makes $9 an hour, plus $2 for each membership he sells. let x represent the number of memberships sold and y represent the total amount of money he will make in an hour. write an equation represents this situation ?
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Which expression is equivalent to (8 a minus 3 b 7) minus (2 a b minus 4)? 6 a minus 2 b 11 6 a minus 4 b 3 6 a minus 2 b 3 6 a minus 4 b 11.
Answers
The expression equivalent to (8a - 3b^7) - (2ab - 4) is 6a - 2b + 11.
To simplify the given expression, we need to distribute the negative sign to each term within the second parentheses:
(8a - 3b^7) - (2ab - 4) = 8a - 3b^7 - 2ab + 4
Next, we can combine like terms by grouping the terms with variables:
(8a - 2ab) - (3b^7 + 4) = 6a - 2ab - 3b^7 - 4
Finally, we can rearrange the terms to have the variables in alphabetical order and combine the constant terms:
6a - 2b - 3b^7 - 4
So, the expression equivalent to (8a - 3b^7) - (2ab - 4) is 6a - 2b - 3b^7 - 4, which can also be written as 6a - 2b + 11 by rearranging the terms.
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a and b are two statements such that "if a, then b " is a compound statement which will always be true unless a is true and b is false. what is that mean ?
Answers
"if a, then b" means that a is a sufficient condition for b, and that b is a necessary condition for a to be true. The statement is true unless a is true and b is false.
The statement "if a, then b" is known as a conditional statement, which is a type of logical statement that is often used in mathematics and other fields. In this case, the statement means that if statement a is true, then statement b must also be true. If a is false, then the truth value of b is not relevant, as the statement is considered true regardless.
The statement "if a, then b" is often written as "a → b" using logical symbols. The symbol "→" is read as "implies" or "if-then".
For example, consider the statements "If it is raining, then the ground is wet" (a → b). This statement is considered true unless it is raining and the ground is not wet, which is a contradiction. If it is not raining, the truth value of "the ground is wet" is not relevant to the truth of the conditional statement.
In summary, "if a, then b" means that a is a sufficient condition for b, and that b is a necessary condition for a to be true. The statement is true unless a is true and b is false.
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Hiooo I really need help can someone please help me
Answers
I need to find the value of x in this figure.
Please explain how to do so.
Answers
Answer: 2x^2
Step-by-step explanation:
(x+5)
x (2x - 9)
-----------------
X times 2x = 2x^2
In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot.
Answers
Answer:
the length of RS to the nearest tenth of a foot is 240.6ft
Answer:
240.6
Step-by-step explanation:
what is 1090 divided by 3
Answers
Answer:
The answer is 363 and 1/3, or 363.3333...
Step-by-step explanation:
Please give brainliest
The value of 1090 ÷ 3 is 363.33333.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
1090 ÷ 3
= \(\frac{1090}{3}\)
Or
3 ) 1090 ( 363
9
19
18
10
9
1
Remainder = 1
Thus,
The value of 1090 ÷ 3 is 363.33333.
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Find the value of x.
5
X
11
y
Answers
The value of the variable is 4√5. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The similar triangles are shown in the diagram.
16 / x = x / 5
x² = 16 × 5
x = 4 √5
Then the value of the variable is 4√5.
Then the correct option is C.
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if a clock's second hand is one inch long, how many miles, to the nearest mile, does the second hand on the clock above travel in 7 days?
Answers
The hand will cover a distance of 1055.04 inches in 7 days.
To establish the distance covered by the hand's point would go in a week, we would first need to determine the radius of the clock's circle, for which the hand serves as a proxy .
To accomplish this, we would utilize the equation 2(pi*radius),
where pi equals 3.14.
The solution to p=2(3.14*1 ) is 6.28 inches.
This indicates that the hand's point moves 6.28inch every 1 hours.
To determine how far the hand moves in a 168 hour, we would multiply 6.28 inch by 168.
As a result, we arrive at the final calculation of 168 inches covered in 7 days as 1055.04 inches.
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Mark did a survey.
He asked pupils in his school:
‘Do you like the colour of the school uniform?’
Mark asked this question to 40 pupils in year 11
25% said ‘Yes’. 50% said ‘No’. The rest said ‘Don’t know’.
Complete the table to show how many pupils from year 11 gave each answer.
Answers
The amounts of pupils that gives each answer is given as follows:
Yes: 10 pupils.No: 20 pupils.Don't know: 10 pupils.How to obtain the amounts?The amounts are obtained by the multiplication of the decimal equivalent of each percentage by the total number of students, which is 40.
The percentages are given as follows:
Yes: 25%.No: 50%.Don't know: 25%, as the total is of 100%, hence 100 - (25 + 50) = 25%.Then the decimal equivalents of each of these percentages is given as follows:
Yes: 0.25.No: 0.5.Don't know: 0.25.Finally, the number of students that gave each student is given as follows:
Yes: 0.25 x 40 = 10 students.No: 0.5 x 40 = 20 students.Don't know: 0.25 x 40 = 10 students.More can be learned about proportions at https://brainly.com/question/24372153
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Create an equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six.
1.3 squared over 1.5 cubed
1.3 to the twenty-fourth power over 1.5 to the eighteenth power
1.5 cubed over 1.3 squared
1.5 to the eighteenth power over 1.3 to the twenty-fourth power
Answers
The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.
How to explain the expressionHere are the steps to simplify the expression:
Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.
Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.
Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.
Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.
Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.
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A telephone company offers two different types of billing. The first option is to pay an initial $10 fee with an additional $0.09 per MB of data used. The second option is to pay an initial $16 fee plus an additional $0.07 per MB of data used.
Part A: Write a system of equations that will model the situation.
Part B: How many MB of data would you have to use in order for both plans to cost the same amount? Explain how you determined your answer.
Answers
Answer:
whattttt?
Step-by-step explanation:
Answer:
for the second one It would take 300 MB
Step-by-step explanation:
Raj polled 100 students in his class to compare the number of hours that teen boys and girls played video games each week. the results of his survey are shown below. which statement about his data sets is true? hours of video game time per week for teen boys a box-and-whisker plot. the number line goes from 0 to 28. the whiskers range from 0 to 28, and the box ranges from 9 to 17. a line divides the box at 14.5. hours of video game time per week for teen girls a box-and-whisker plot. the number line goes from 0 to 28. the whiskers range from 0 to 28, and the box ranges from 3 to 15. a line divides the box at 6. the average boy plays 8.5 hours more per week than the average girl. the average boy plays 2 hours more per week than the average girl. the average boy plays the same amount of time per week as the average girl. the average boy plays 6 hours more per week than the average girl.
Answers
The statement "The average boy plays 6 hours more per week than the average girl" is true based on the given data sets.
What is a true statement about the data sets of hours of video game time per week for teen boys and girls based on Raj's survey results?
The answer states that "The average boy plays 6 hours more per week than the average girl" based on the given data sets.
This implies that, on average, teen boys spend more time playing video games each week compared to teen girls.
The statement is derived from comparing the averages of the two data sets and finding a difference of 6 hours.
It suggests that, overall, boys in Raj's class are spending more time on video games than girls.
It's important to note that this statement doesn't provide information about individual cases or the distribution of video game time within each group.
The difference in average hours could be influenced by various factors such as personal preferences, gaming habits, or other external variables.
It is crucial to consider the limitations of this statement and analyze the data more comprehensively to gain a complete understanding of the patterns in video game time for teen boys and girls.
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An airplane flies 630 miles per hour for 2,400 miles with the wind in the same amount time it flies 2,100 miles against the wind. Find the speed of the wind.
Answers
Answer:
42 mph
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witch equation represents a direct proportion?
Answers
Answer:
y=kx
Step-by-step explanation:
is an online poll asking the preferred mobile phone type used by school children an observational study or experimental study? if it is an experiment, what is the controlled factor?
Answers
The online poll asking the preferred mobile phone type used by school children is an observational study, not an experimental study, and there is no controlled factor involved.
An online poll asking the preferred mobile phone type used by school children would be considered an observational study. This is because the researcher is not actively manipulating any variables or treatments. Instead, they are simply observing and collecting data on the preferences of school children.
If the study were to be designed as an experiment, the controlled factor would be the type of mobile phone being offered as an option in the poll. For example, the researcher could randomly assign some participants to see only options for Apple iPhones, while others would only see options for Samsung Galaxy phones. By controlling the options presented to participants, the researcher could test whether there is a difference in preference for different types of mobile phones among school children.
However, it is important to note that an experiment of this nature may not be feasible or ethical. It may be difficult to limit the options presented to participants in an online poll, and doing so could potentially bias the results. Additionally, it may not be ethical to limit the options presented to participants, as it could be seen as withholding information or forcing a particular preference on them. Therefore, an observational study would likely be a more appropriate and ethical approach to studying the preferences of school children for mobile phones.
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Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 8 2 27 3 64 4 125 5 O converges O diverges Need Help? Read t Lvlstchut LTalk to a Tutor Submit Answer save Progress Practice Another Version
Answers
Theorem 9.11 states that the p-series ∑_(n=1)^∞ 1/n converges if p > 1 and diverges if p ≤ 1.
In the given series, we can see that each term is of the form n^3, which can be written as (n^p)^3 where p=1/3.
Since p=1/3 is less than or equal to 1, we can conclude that the series diverges by applying Theorem 9.11.
Therefore, the given series diverges.
Using Theorem 9.11, we can determine the convergence or divergence of the given p-series. This theorem states that a p-series ∑_(n=1)^∞ 1/n^p converges if p > 1 and diverges if p ≤ 1.
If you meant to write the series as 1/8 + 2/27 + 3/64 + 4/125 + ... (with terms of the form n/n^3), then it is a p-series with p = 3 > 1. In this case, according to Theorem 9.11, the series converges.
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what is the answer to the question?
Answers
Answer:
17
Step-by-step explanation:
We have two congruent triangles here. Thus, b must be 17.
Answer:
17
Step-by-step explanation:
sides r congruent
Which of the following represents the total area of the figure?
10.663 in2
24.413 in2
28.448 in2
34.335 in2
Answers
Answer:
24.413
Step-by-step explanation:
Break the shape up into 2 triangles and 1 rectangle, then add up the 3 areas.
Rectangle: 4.6 x 3.15 = 14.49
Triangle 1: 1/2(3.3)(3.15) = 5.1975
Triangle 2: 1/2(3)(6.3 - 3.15) = 4.725
Total area = 14.49 + 5.1975 + 4.725 = 24.413
hellppp fast plzzzzzz
Answers
Answer:
49? I think
Step-by-step explanation:
Find value of a and b
Answers
Answer:
A=255
B=65
Step-by-step explanation:
its mostly just mental math
Answer:
B=90-25=65 degrees
A=180-25=155 degrees
a lottery has a game where 1 ball is drawn from each of 4 bins. inside each bin are 10 balls, numbered 0 through 9. which outcome has a higher probability of occurring?
Answers
Since the occurring of each ball in each bin is independent to each other, then the probability of each possible outcome is the same, that is equal to 0.0001
Probability of an event A is defined as:
P(A) = number of event A can occur / all possible outcomes
Suppose there 2 independent events, A and B, then,
P (A and B) = P(A) . P(B)
In this case, each ball drawn from each bin is an independent event.
Let q be any number from 0 to 9, in each bin:
P(q) = 1/10
The withdrawal of a ball from each bin is independent event.
Hence,
P (any outcome) = 1/10 . 1/10 . 1/10 . 1/10 = 0.0001
In other words, each outcome has the same probability of 0.0001
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A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring.
Select one:
True
False
Answers
This statement is true
A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring. Probability is the measure of the likelihood of a random event happening, and it is expressed as a number between 0 and 1, with 0 implying that the event would never occur and 1 implying that it is certain to happen.
The probability of an event happening is referred to as its likelihood. Probability can be expressed as a fraction, percentage, or decimal, and it is a vital tool in statistics. It is frequently utilized in mathematics to estimate real-world situations that involve random variables such as coin flips, weather patterns, stock market trends, and even sporting events.
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what are the angle measures given the figure is a rhombus???
Answers
Answer:
∠ 1 = 136°
Step-by-step explanation:
The diagonals of a rhombus bisect the angles, thus other side of the diagonal to 22° is also 22°. Making the whole angle = 44°
Consecutive angles are supplementary, thus
∠ 1 + 44° = 180° ( subtract 44° from both sides )
∠ 1 = 136°
A kilogram of dalandan in pure gold costs p55.00. if jessica brought k kilograms, represent the amount paid a as a function
Answers
The function of amount paid in terms of kilograms of dalandan is A= 55k.
According to the statement
We have to find that the amount paid in terms of kilograms of dalandan.
So, For this purpose, we know that the
The Amount generally refers to a quantity, sum of two or more quantities.
From the given information:
The Php. 55 cost of dalandan
And then
Let A stands for paid amount
k stands for number of kg of dalandan
Amount = Cost × No. of items
Amount = 55 × k
A = 55 × k
A = 55k
So, The function of amount paid in terms of kilograms of dalandan is A is 55k.
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Find the coordinates of R if Q(-1, 3) is the midpoint ofhas coordinates of (5, 6)
Answers
The midpoint is given by the following expression:
\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)Where:
Therefore:
\((M_x,M_y)=(\frac{X_1+X_2}{2},\frac{y_1+y_2}{2})\)Replacing:
Mx= 5 and My=6
Qx= X1 =-1 and Qy= y1=3
Rx=X2 and Ry= Y2
\((5,6)=(\frac{-1+x_2}{2},\frac{3+y_2}{2})\)Equating the x component and solving for X2:
\(\begin{gathered} 5=\frac{-1+x_2}{2} \\ 5*2=-1+x_2 \\ 10+1=x_2 \\ x_2=11 \end{gathered}\)Doing the same with the y component:
\(\begin{gathered} 6=\frac{3+y_2}{2} \\ 6*2=3+y_2 \\ y_2=12-3=9 \\ y_2=9 \end{gathered}\)Answer: the coordinates of R are: (X2,Y2) = (11 , 9).
A partial variation has an equation of the form y=mx+b, where m represents the
slope and b represents the initial value.
True
False
Answers
Answer:
false
Step-by-step explanation:
b represents y value
What must be added to 35 to make 8²?
Answers
Answer:
add 29 to 35
Step-by-step explanation:
\(8^{2}\) is equal to 64
so 64-35 is equal to 29
Answer:
29Step-by-step explanation:
\(8^{2}\) is 64
64-35=29