Answers
Contrast that with addition, subtraction and multiplication. For any of those operations taking two polynomials and adding them, subtracting them, or multiplying them will lead to another polynomial. That's why these operations are closed for polynomials.
Answer: Choice B
The operation that is not closed for polynomial is [tex]\boxed{{\text{Dividing binomials}}}.[/tex] Option (B) is correct.
Further explanation:
Given:
The given options are as follows,
(A). Adding binomials
(B). Dividing binomials
(C). Subtracting binomials
(D). Multiplying binomials
Explanation:
Consider the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]
Add the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]
[tex]\begin{aligned}{\text{Add}} &= x + 1 + 2x + 4\\&= 3x + 5\\\end{aligned}[/tex]
The result after adding is a polynomial. Therefore, adding binomials is a closed for polynomials.
After dividing the two polynomials [tex]x + 1[/tex] and [tex]2x + 4[/tex] the result is a rational expression.
Therefore, dividing binomials operation is not closed for polynomials.
Subtract the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]
[tex]\begin{aligned}{\text{Subtract}}&= 2x + 4 - \left( {x + 1}\right)\\&=x + 3\\\end{aligned}[/tex]
The result after subtracting is a polynomial. Therefore, subtracting binomials is a closed for polynomials.
Multiplying the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]
[tex]\begin{aligned}{\text{Multiplying}}&= \left( {2x + 4} \right)\times \left( {x + 1} \right)\\&= 2{x^2} + 2x + 4x + 4\\&= 2{x^2} + 6x + 4\\\end{aligned}[/tex]
The result after subtracting is a polynomial. Therefore, multiplying binomials is a closed for polynomials.
The operation that is not closed for polynomial is [tex]\boxed{{\text{Dividing binomials}}}.[/tex] Option (B) is correct.
Option (A) is not correct as the adding binomials operation is closed for polynomials.
Option (B) is correct as the dividing binomials operation is not closed for polynomials.
Option (C) is not correct as the adding binomials operation is closed for polynomials.
Option (D) is not correct as the adding binomials operation is closed for polynomials.
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Polynomials
Keywords: polynomials, function, dividing, subtracting, adding, multiplying, binomials, closed for binomials.
Related Questions
For the data in the table does Y very directly with X
Answers
Example:
Table:
x y
16 4
32 16
48 36
Direct relation means that the ratio y / x is constant.
So, let's examine this ratio:
Ratio y / x
4/16 = 1/4
16/32 = 1/2
36/48 = 3/ 4
Given that the ratio y/x is not constant, the conclusion is that y does not vary directly with x.
Norman spends $100. He spends $35 on a video game. What percentage of his original $100 does Norman have left after buying the game?
Answers
To find the percentage of Norman's original $100 that he has left after buying the game, subtract the cost of the game from $100 and then calculate the percentage. Norman has 65% of his original $100 left after buying the game.
Explanation:To find the percentage of Norman's original $100 that he has left after buying the game, we need to subtract the cost of the game from $100 and then calculate the percentage.
Subtract $35 from $100: $100 - $35 = $65.Calculate the percentage of $65 out of the original $100: $65 / $100 × 100 = 65%.Therefore, Norman has 65% of his original $100 left after buying the game.
Casey took 25 in 135 days at this rate in how many days will she take another 10 tests
Answers
what is the median of 81 87 93 89 61 81
Answers
you put the numbers in order least to greatest then find middle # if two you add the two numbers together then divide by 2
The median of the numbers 81, 87, 93, 89, 61, 81 is 84.
To find the median of the set of numbers 81, 87, 93, 89, 61, 81, you first need to arrange them in numerical order. The sorted list is 61, 81, 81, 87, 89, 93. Since there is an even number of data points, the median will be the average of the two middle numbers.
The two middle numbers in this ordered list are 81 and 87. We can calculate the median by finding the average of these two numbers:
(81 + 87) / 2 = 168 / 2
168 / 2 = 84
Therefore, the median of this data set is 84.
Allens score in a video game was changed by -75 points because he missed some targets. He got -15 points for each missed target. How how many targets did he miss?
Answers
I have this same problem too and I just finished it! :)
The answer is that she missed 5 targets
Hope this helps
The probability that pete will catch fish when he goes fishing is .8. pete is going to fish 3 days next week. define the random variable x to be the number of days pete catches fish. the probability that pete will catch fish on exactly one day is
Answers
Final answer:
The random variable X is defined as the number of days Pete catches fish. The probability that Pete will catch fish on exactly one day is 0.096.
Explanation:
The random variable X is defined as the number of days Pete catches fish when he goes fishing.
To find the probability that Pete will catch fish on exactly one day, we can use the binomial probability formula. The formula is:
P(x) = (n C x) * p^x * (1-p)^(n-x)
where n is the number of trials (in this case, 3 days), x is the number of successes (in this case, 1 day), and p is the probability of success (in this case, 0.8).
Plugging in the values, we get:
P(x = 1) = (3 C 1) * 0.8^1 * (1-0.8)^(3-1) = 3 * 0.8 * 0.2^2 = 0.096
A company will need 25,000 in 7 years for a new additon. To meet this goal, the company deposits money into an account today that 3% annual interest compound quarterly. Find the amount that should be invested to total 25,000 in 7 years.
Answers
[tex]P = irt[/tex]
We need P, which is the primary (or principal) investment, and we know that:
rate = 3% (0.03)
time = 7
i = $25000
So, just plug in and solve:
[tex]I = 25000(0.03)(7)[/tex]
[tex]I = 5250[/tex]
The company needs to invest $5250 today, to make $25000 in 7 years.
A bag contains 33 red apples and 66 yellow apples. 22 apples are selected at random. find the probability of selecting 11 red applenothing and 11 yellow applenothing.
Answers
Suppose the number 1155 is written as the product of three positive integers. What is the smallest possible value of the sum of those three integers?
Answers
1155 equals 11 times 105. Next, determine factors of 105. I see that 5 is a divisor of both 10 and 5, so that 105 equals 5 times 21.
Adding together these three integers: 11+5+21 = 37
But wait! 21 can be factored (e. g., into 7 times 3).
You'll need to identify all of the several sets of 3 positive integers each and find the sum of each set. Only after you've done this can you choose the set whose sum of the three integers is the smallest. Please show your work, so that others can give you feedback on it.
Write the equation for a parabola with a focus at (0,-5)(0,−5)left parenthesis, 0, comma, minus, 5, right parenthesis and a directrix at y=-3
Answers
The equation of a parabola with a focus at (0,-5) and a directrix at y=-3 is derived by equating the distances of any point (x, y) in the parabola from the focus and the directrix respectively. Simplifying these expressions leads to the equation y = (1/8)x² - 1.
Explanation:The equation for a parabola can be derived from its definition. A parabola is defined as the set of all points (x, y) in a plane which are equidistant from a fixed point, the focus (given here as (0,-5)) and a fixed line, the directrix (given as y=-3).
Let's calculate the distance between the focus (0, -5) and any point in the parabola (x, y). We get the equation:
√[(x-0)² + (y-(-5))²].
And the distance between the point (x, y) and the directrix (y=-3) is |y - (-3)| = y + 3.
Since we know that the two distances are equal, we can equate the two expressions:
√[(x-0)² + (y-(-5))²] = y + 3.
Solving it further, squaring both sides, and simplifying, we get:
y = (1/8)x² - 1.
https://brainly.com/question/35420659
#SPJ3
Alicia draws a diagram to represent two forces, F1 and F2, acting on a body. The angle between the directions of the forces is 50° as shown in the diagram. Alicia notices that she can use the Law of Cosines to find the magnitude of the resultant force R in the diagram. What is the value of R?
Answers
When the two forces F₁ and F₂ are added vectorially, the resultant force is R.
The angle x = 180° - 50° = 130°.
From the Law of Cosines, obtain
R² = F₁² + F₂² - 2F₁F₂ cos(130°)
Note that 2 cos(130°) = -1.2856.
Answer:
R = √(F₁²+ F₂² + 1.2856 F₁F₂ )
solve the following: all fractions should be reduced to lowest terms and mixed numbers. -1 1/4 x (-2/5)=
Answers
= -5/4 * (-2/5)
= 10/20
= 1/2
Then the product of -1 1/4 and -2/5 is (-5/4)(-2/5) = 10/20, or 1/2.
Please, do not use " x " to indicate multiplication. " x " is reserved for naming variables. Instead, use " * " to indicate mult.
Thus, your problem is best written -1 1/4 * -2/5
Find how long it takes a $ 900.00 investment to earn $ 120.00 in interest if it is invested at 6% compounded annually.
Answers
[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$1020\\ P=\textit{original amount deposited}\to &\$900\\ r=rate\to 6\%\to \frac{6}{100}\to &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years \end{cases}[/tex]
[tex]\bf 1020=900\left(1+\frac{0.06}{1}\right)^{1\cdot t}\implies \cfrac{1020}{900}=(1.06)^t\implies \cfrac{102}{90}=(1.06)^t \\\\\\ log\left(\frac{102}{90} \right)=log(1.06^t)\implies log\left(\frac{102}{90} \right)=t\cdot log(1.06) \\\\\\ \cfrac{log\left(\frac{102}{90} \right)}{log(1.06)}=t\implies 20.92 \approx t[/tex]
663 rounded to the nearest tenth and thousand
Answers
663 rounded to the nearest tenth is: 660.
663 rounded to the nearest thousand is: 1000.
Which strategy would you use to find 2+8
Answers
2+8=10
A random triangle is formed in some way, such that all pairs of angles have the same joint distribution. what is the correlation between two of the angles (assuming that the variance of the angles is nonzero)?
Answers
The correlation between two angles in a random triangle is negative. This means that as one angle increases, the other angle decreases, and vice versa.
How to find what is the correlation between two of the anglesIn a random triangle, the angles are not independent of each other; they are constrained by the fact that the sum of the angles in any triangle must be 180 degrees (or π radians). Let's consider two of the angles, say A and B, in the triangle.
Since the sum of all three angles is a constant (180 degrees or π radians), if one of the angles (let's say A) increases, it implies that the other angle (B) must decrease in order to maintain the sum as a constant. Conversely, if A decreases, B must increase. This negative relationship between the two angles implies that they are negatively correlated.
Therefore, the correlation between two angles in a random triangle is negative. This means that as one angle increases, the other angle decreases, and vice versa.
Learn more about correlation at https://brainly.com/question/28175782
#SPJ3
Name the segments that are skew to AB.
I have attached an image with the diagram and answers.
Answers
Choice B is also eliminated since CD is parallel to AB
Choice C is eliminated because AC intersects AB at point A. Skew lines never cross and they are not parallel in 3D space.
Choice D is the only thing left. The segments EG, DH, CG and FH are all skew to AB. They aren't parallel to AB and they never cross AB
So choice D is the final answer
Answer:
EG, DH, CG, FH
Step-by-step explanation:
The last choice, segments EG, DH, CG and FH, do not cross AB, nor are they parallel to AB. So, they are all skew.
In the first choice, GH is parallel to AB, so it would not be skew. So, this is not the answer.
In the second choice CD is parallel to AB, so it would not be skew. So, this is not the answer.
In the third choice, AC and AB cross, so it would not be skew. So, this is not the answer.
Skew lines do not cross and are not parallel.
phyllis says you have to know the number of fans in order to dertemine the fraction of the fan that are children
Answers
hope this helps
Mateo make six loaves of banana bread he sells 2/3 of the loaves a bake sale which expression represents how many loaves Mateo sold at the bake sale
Answers
2/3*6=4
Hope this helps
Where does f(x) = 3x2 – 11x – 4 intersect the x-axis? The negative x-intercept is at ( , 0). The positive x-intercept is at ( , 0).
Answers
The function f(x) = 3x^2 - 11x - 4 is a quadratic equation; the negative x-intercept is at (-1/3,0) and the positive x-intercept is at (4,0)
What is the x-intercept?The x-intercept of a function is the point where the function crosses the x-axis
Check below on how to determine the x-intercept
The function is given as:
f(x) = 3x^2 - 11x - 4
Next, we plot the graph of the function
From the attached graph, the function crosses the axis at:
(-1/3,0) and (4,0)
Hence, the negative x-intercept is at (-1/3,0) and the positive x-intercept is at (4,0)
Read more about x-intercept at:
https://brainly.com/question/3951754
how to write 3+0.7+0.04 in standard form
Answers
3.00 + 0.70 + 0.04 the numbers fall right in place
It is found 3+0.7+0.04 in standard form as; 3.74
What is standard form?Suppose the considered polynomial is of only one variable.
Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.
We have to write 3+0.7+0.04 in standard form.
First Place them accordingly, the decimal point will always stay between the 3 and the 7.
3.00 + 0.70 + 0.04 the numbers fall right in place.
So, it would come out as 3.74
Therefore, It is found 3+0.7+0.04 in standard form as; 3.74
Learn more about standard form here:
https://brainly.com/question/15313798
#SPJ2
a rectangular pool is 91/3 feet long and 25/2 feet wide. what is the area of the pool
Answers
When asked to write the prime factorization of the number 27, a student wrote 9·3. Explain the error and rite the correct answer. What would be the correct answer
Answers
∠ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what is the measure of ∠ABD?
Answers
What raw score is at the 34th percentile (34.13 to be exact) when the mean of the distribution is 50 and the standard deviation is 4?
Answers
Given:
μ = 50, the mean
σ = 4, the standard deviation
The z-score is
z = (x - μ)/σ = (x - 50/4
From the normal tables, obtain z = -0.41 for 34% of the area.
Therefore
(x - 50)/4 = -0.41
x - 50 = -1.64
x = 48.36
Answer: 48.36
What is the measure of angle CED?
Answers
Because angle m is shown to be congruent to angles ABC and CDE, this means that angle m has a measure of 60 degrees.
There can only be 180 degrees in a triangle, so the measure of angle ACB must be 180-60-60, which equals 60 degrees.
Using the Vertical Angles Theorem, the measure of angle ACB is the same as the measure of angle CED.
Therefore, angle CED measures 60°.
Answer:
[tex]m<CED=m\°[/tex]
Step-by-step explanation:
we know that
Triangles ABC and CDE are similar triangles, because the corresponding angles are congruent
[tex]m<BCA=m<DCE[/tex] ------> by vertical angles
[tex]m<ABC=m<CDE[/tex] ----> given problem
[tex]m<BAC=m<CED[/tex] ----> The sum of the internal angles of the triangle must be equal to [tex]180[/tex] degrees
we have
[tex]m<BAC=m\°[/tex]
so
[tex]m<CED=m\°[/tex]
The table shows the five most populated countries in the world. How many times as many people live in China than in the United States? Round to the nearest tenth if necessary
Answers
This comes out to 4.4. China has 4.4 times as many people as does the US.
BRAINLEIEST ANSWER!! What is the unit rate for 501.9 mi in 21 h? Enter your answer, as a decimal, in the box. m/h
Answers
Miles divided per hour.
Divide the distance by the time.
(501.9 mi)/(21 h) = 23.9 mph
To find the unit rate divide total miles by total hours:
501.9 / 21 = 23.9 miles per hour
Find the probability that a randomly selected student is male, given that the student is a nursing major. the probability is . 027.027. (round to three decimal places as needed.) (b) find the probability that a randomly selected student is a nursing major, given that the student is male. the probability is nothing. (round to three decimal places as needed.)
Answers
Final answer:
The probability that a randomly selected student is male, given that the student is a nursing major, is 0.027. The probability that a randomly selected student is a nursing major, given that the student is male, is undefined.
Explanation:
To find the probability that a randomly selected student is male, given that the student is a nursing major, we can use conditional probability. Let's assume that P(M) represents the probability of selecting a male student, and P(N) represents the probability of selecting a nursing major. The given information states that P(M|N) = 0.027, which means the probability of selecting a male student, given that the student is a nursing major, is 0.027.
To find the probability that a randomly selected student is a nursing major, given that the student is male, we can use conditional probability once again. The given information states that P(N|M) = nothing. This implies that there is no information given about the probability of selecting a nursing major, given that the student is male. Therefore, the probability is undefined and we cannot determine an answer.
A bag of rice weighs 3.18 pounds. Find its mass in kilograms. ( 1 kilograms = 2.2 feet )
Answers
[tex]\bf \begin{array}{ccll} lbs&kg\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2.2&1\\ 3.18&k \end{array}\implies \cfrac{2.2}{3.18}=\cfrac{1}{k}\implies k=\cfrac{3.18\cdot 1}{2.2}[/tex]