Answer:
12
Step-by-step explanation:
12 inches
Which operation is NOT closed for polynomials ?
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.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Polynomials
Keywords: polynomials, function, dividing, subtracting, adding, multiplying, binomials, closed for binomials.
A salesperson earns 17% commission on her total sales. If she sold $1530 last week, how much did she earn in commission ?
Name the property the equation illustrates.
8.2 + (–8.2) = 0
Answer:
The name of the property the equation illustrates is the Inverse Property of Addition.
Step-by-step explanation:
The Inverse Property of Addition says that if you add a number to the negative version of itself, the numbers will cancel out and the result will be 0. In other words, if you add 8.2 + (–8.2), the answer will always be 0.
alex wants to buy the same number of stamps and envelopes dancer sold in packs of 14 and envelopes are sold and packs of 10 what is the lease number of each he could buy to have the same number of stamps and envelopes
Final answer:
To have the same number of stamps and envelopes, Alex would have to find the Least Common Multiple of 14 and 10, which is 70. Therefore, he should buy 5 packs of each.
Explanation:
Alex wants to buy the same number of stamps and envelopes, but they come in different pack sizes: stamps in packs of 14 and envelopes in packs of 10.
To find the least number of each he could buy to have the same number of each, we need to find the Least Common Multiple (LCM) of 14 and 10. The LCM of 14 and 10 is 70.
So, Alex would need to buy 5 packs of envelopes (since 70 divided by 10 equals 7) and 5 packs of stamps (since 70 divided by 14 equals 5) to have the same number of stamps and envelopes, which is 70 of each.
The radius of a circle can be found by dividing the circumference of the circle by 6.28. What is the radius of a circle that has a circumference of 17.27 feet?
Answer:
23.55 feet
Step-by-step explanation:
Show how you can use the Distributive Property to find the product of 7 and 56?
The product of 7 and 56 by using substitution method is 392.
What is Distributive property?
By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.
Given that;
The number are,
⇒ 7 and 56.
Now,
Find the product of 7 and 56 by using substitution method as;
⇒ 7 × 56 = 7 × (50 + 6)
= 7 × 50 + 7 × 6
= 350 + 42
= 392
Thus, The product of 7 and 56 by using substitution method is 392.
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A Factory processes 1,560 ounces of olive oil per hour. the oil is packaged into 24-ounces bottles. how many bottles does the factory fill in one hour
The sides of a triangle measure 64 mm, 3 CM, and 7 CM. What is the total leangth of the two longer sides?
WILL GIVE BRAINLESS
factor the polynomial
Answer:
D
Step-by-step explanation:
This is factor by grouping. In factor by grouping, write a quadratic trinomil as 4 terms and group by parenthesis. Then factor by GCF in each pair. If the two parenthesis match, the factoring has worked and the factors will be the GCFs as one and the parenthesis as one other.
The factors here are the GCFs [tex]2x^2[/tex] and -3 as [tex](2x^2-3)[/tex] and the parenthesis (x-5).
(5y - 1) + (-2y + 4)
5y-1 + -2y+4
combine like terms
5y-2y = 3y
-1+4=3
so you have 3y+3
A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there in 180 crackers?
x | y
12 60
15 75
A. 36 calories
B. 108 calories
C. 720 calories
D. 900 calories
60/12 = 5
75/15 = 5
there are 5 calories per cracker
180 * 5 = 900 calories in 180 crackers
Answer is D
Increasing W-4 allowances will ________ the net pay in your paycheck and ______ your total tax burden.
What is the unit rate for 768.57 m 41.1 h? Enter your answer, as a decimal, in the box.
Final answer:
To find the unit rate, divide 768.57 meters by 41.1 hours resulting in a unit rate of 18.70 meters per hour.
Explanation:
The question asks for the unit rate of 768.57 meters over 41.1 hours. To calculate this, divide the distance by the time:
First, write the given ratio as a fraction. 768.57 m over 41.1 h.Second, divide 768.57 by 41.1 to find the unit rate in meters per hour. 768.57 m ÷ 41.1 h = 18.70 m/h (rounded to two decimal places as per the significant figures in the original distance).The division, 768.57 m ÷ 41.1 h, yields a unit rate of 18.70 m/h (rounded to two decimal places to match the precision of the original distance). Hence, the unit rate for this scenario is 18.70 meters per hour.
Therefore, the unit rate is 18.70 meters per hour.
In mom's car, the number of miles driven is proportinal to the number of gallons of gas used.
To which set(s) does 12/3 belong? Choose all that apply. A.Counting/Natural Numbers B.Whole Numbers C.Integers D.Rational Numbers E.Irrational Numbers F.Real Numbers
The number 12/3 belongs to the sets of Whole Numbers, Integers, and Rational Numbers.
Explanation:The number 12/3 belongs to the following sets: Whole Numbers, Integers, and Rational Numbers.
A whole number is an integer that is greater than or equal to zero. Since 12/3 = 4, which is a positive integer, it belongs to the set of Whole Numbers.
An integer is any positive or negative whole number, including zero. Since 12/3 = 4, it is a positive integer and belongs to the set of Integers.
A rational number is any number that can be expressed as a fraction. Since 12/3 can be simplified to 4, it is a rational number.
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HELP ASAP 20 An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 6 times as much as the song download. You have a credit of $60. How many songs can you purchase after buying 7 videos?
What value of n makes the equation true?
0.7n+0.8n=2.1
n=3.60
n=3.15
n=1.40
n=0.60
A high school basketball team scores 85 points in a playoff game. The team leaders are Greg and Tremaine who scored a total of 38 points. If Tremaine scored 8 more points than Greg, how many points did Greg and Tremaine score individually?
Answer:
Total Points scored by team leaders are Greg and Tremaine=38 points
Let Points scored by Greg =x points
Then , Points scored by Tremaine =(x+8) points
So, writing the condition in equality form
x +x+8=38
2 x =38-8
2 x=30
Dividing both sides by ,2
x=15
Points scored by Greg =15 points
Then , Points scored by Tremaine =(15+8)=23 points
Barb had $112 in her savings account. Then deposited the same amount of money into her savings account in the next 4 months. Now she has $333 in her savings account. How much money,m, did Barb deposit each month?
Triangle CAT is translated using the rule (x,y)→(x−3, y+4) to create triangle C'A'T'. If a line segment is drawn from point C to point C' and from point A to point A', which statement would best describe the line segments drawn?
The answer is: Parallel and congruent.
The mechanic does 4 oil changes in 2 hours. How many oil changes can the mechanic do in 8 hours?
Answer:it will be 2
Step-by-step explanation:because you multiply it23457
What expression is equivalent to 3y - 21? A. 3(y - 21) , B. 3(3y - 21) , C. 3(3y - 7) , D. 3(y - 7) . Need help quickly! Thanks <3
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The exterior angles of a triangle measure x + 3, 2x + 1, and 3x - 4. Find the measure of each exterior angle.
A) 18°, 31°, and 41°
B) 23°, 41°, and 56°
C) 33°, 61°, and 86°
D) 63°, 121°, and 176°
Answer:
THE GOOD DAYS
Step-by-step explanation:
Find the points of intersection of the line x = 3 + 2t, y = 7 + 8t, z = −2 + t, that is, l(t) = (3 + 2t, 7 + 8t, −2 + t), with the coordinate planes.
The diameter of a circle is 8 inches. What is the area?
A. 8pi in ^2
B. 16pi in ^2
C. 32pi in ^2
D. 64pi in ^2
Every week, Mr. Kirkson uses 3 1/6 gallon of water to water every 1/3 square foot of his garden. How many gallons of water does Mr. Kirkson use per square foot to water his garden each week?
3 1/6 / 1/3 =
19/6 / 1/3 =
19/6 * 3/1 = 57/6 = 9 1/2 gallons per square foot
Answer:
Mr. Kirkson uses 9.60 gallons of water per square foot to water his garden each week.
Step-by-step explanation:
This problem can be solved by a simple rule of three.
We have that 1/3 = 0.33 square foot of his garden uses uses 3 1/6 = 19/6 = 3.167 gallons of water. How many are used per square foot? So:
1 foot - x gallons
0.33 foot - 3.167 gallons
[tex]0.33x = 3.167[/tex]
[tex]x = \frac{3.167}{0.33}[/tex]
[tex]x = 9.60[/tex]
Mr. Kirkson uses 9.60 gallons of water per square foot to water his garden each week.
A spherical balloon with radius r inches has volume defined by the function below. find a function that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r + 3 inches. (give the answer in terms of π and r.) v(r) = 4/3 pi r^3
Find two numbers with a sum of 20 and a difference of 14.
Deshawn fuels 2 yachts and 6 barges. Each boat gets 126 gallons of fuel. To find how much fuel he needs for all the boats, deshawn first findsthe number of boats, then he uses an algorithm to multiply. Which are the three partial products deshawn could add to find the final product?
Solve. Evaluate roots and round to the nearest tenth. (Enter your answers as a comma-separated list. Simplify your answers completely.) 9x2 − 18 = 0