The sum of two or more numbers that results in a third number is called a factor.
The factor of [tex]$x^2+\frac{x}{6}-\frac{1}{6}$[/tex] exists 2x + 1.
What is meant by factors?The definition of a factor is a number that divides another number by itself with no remainder. In other words, if multiplying two whole numbers results in a product, the numbers we are multiplying are factors of the product since the product is divisible by them.
What can split a number exactly are factors. So there is no residual after division. Factors are the sums of two or more numbers that produce a third number. Consequently, a factor is a number that divides another.
The use of more variable factors—those whose values do fluctuate with output—occurs as production rises and falls. Workforce, energy, and directly used raw materials are examples of typical variable components.
Let the given equation be [tex]$& x^2+\frac{x}{6}-\frac{1}{6} \\[/tex]
[tex]$& =\frac{6 x^2+x-1}{6} \\[/tex]
simplifying the above equation, we get
[tex]$& =\frac{1}{6}\left(6 x^2+x-1\right)[/tex]
We will factorize the polynomial by splitting its middle term.
[tex]$& \frac{1}{6}\left(6 x^2+x-1\right) \\[/tex]
[tex]$& =\frac{1}{6}\left(6 x^2+3 x-2 x-1\right) \\[/tex]
simplifying the above equation, we get
[tex]$& =\frac{1}{6}(3 x(2 x+1)-1(2 x+1)) \\[/tex]
[tex]$& =\frac{1}{6}(3 x-1)(2 x+1)[/tex]
[tex]$\frac{1}{6^{}}(3 x-1)$[/tex] and (2x + 1) are factors of [tex]$x^2+\frac{x}{6}-\frac{1}{6}$[/tex]
Therefore, the correct answer is option B. 2x + 1
The complete question is:
Which among the following is a factor of [tex]$x^2+\frac{x}{6}-\frac{1}{6}$[/tex] ?
A. 3x + 1
B. 2x + 1
C. [tex]$x-\frac{1}{5}$[/tex]
D. [tex]$x-\frac{1}{2}$[/tex]
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Can someone help asap
Answer:
A. Because both of the other lines are bigger.
Step-by-step explanation:
which of the following inequality has (5,1) as a solution? a.)3x+y≤3 b.)3x-y≤3 c.)3x-y<15 d.)3x+y<15
Answer:
i think its A :)
Step-by-step explanation:
The area of a rectangle is 560 square inches. The length is 3 more twice the width. Find the length and width.
Answer:
l = 35 inches and b = 16 inches
Step-by-step explanation:
Let length be b and width be b.
The area of a rectangle is 560 square inches.
Length is 3 more twice the width.
l = 2b+3 ....(1)
We know that,
Area = length × width
560 = (2b+3)b
[tex]2b^2+3b-560=0\\\\b=16,-17.5[/tex]
Put b = 16 in equation (1).
l = 2(16)+3
= 35 inches
So, the length is 35 inches and the width is 16 inches.
Mod 12 Exam
Determine whether or not the triangle with the given side lengths is a right triangle.
51 feet, 14 feet, 49 feet
Don't forget to explain your reasonings
HELP its a story of blackout
Question: Fill in the blanks to Explain why the narrator goes to the planetarium?
Answer:
Dark,light, stars
Step-by-step explanation:
The inference shows that the narrator goes to the planetarium to view stars.
What is an inference?An inference simply means the conclusion that can be deduced based on the information given in a literary work.
In this case, the inference shows that the narrator goes to the planetarium to view stars. A planetarium is a building that has images of stars, planets, and constellations.
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how would I word that it is being doubled in size?
The question is how did D get to E.
Answer:
It doubled up is what you could say
Which is other endpoint of line segment with one endpoint at (1,3) and midpoint (3,5)
Answer:(9,3)
Step-by-step explanation:
A bakery sells chocolate cupcakes and mocha cupcakes. One day it sold 153 chocolate
and 187 mocha. What percent of the cupcakes sold that day were chocolate?
Answer:
45% of the cupcakes baked on that day were chocolate flavored.
Step-by-step explanation:
Hey there!
We're given that the bakery sold 153 chocolate cupcakes and 187 mocha cupcakes.
Let's find the total number of cupcakes baked in a day.
[tex]153 + 187 = 340[/tex]Now, we need to find the ratios of the cupcakes. Of the 340 cupcakes baked, 153 were chocolate flavored. Therefore, we can create a ratio between the two values and find the percentage.
Step 1: Define Values
153 chocolate cupcakes baked340 cupcakes in totalStep 2: Create Ratio and Simplify
[tex]\displaystyle \frac{\text{153 chocolate cupcakes}}{\text{340 total cupcakes}} = \frac{153}{340} = 0.45[/tex]
Step 3: Convert from Decimal Form to Percentage Form
[tex]0.45 \times 100\% = 45\%[/tex]
Therefore, we have determined that 45% of the cupcakes baked on that day were chocolate flavored.
Which choice gives the solution of this inequality? 3t+ < 28
Answer:
its 9.33 reapetting or just 9.33
Step-by-step explanation:
A cylinder with the height of 6km has a volume of 384km3 what is the radius?
Answer:
r = 8
Step-by-step explanation:
V = π r^2 h so 383 = r^2 (6)
383 / 6 = r^2
64 = r^2 so
r = 8
help please I really ned it
Answer:
sqdfnm swfqwef
Step-by-step explanation:
wqfjqwebnkjf qwebf
Kirti bookstore sold books worth Rs.285891 in the first week of june and books worth Rs.400768 in the second week of the month .How much was the sale for two weeks together ? In which week was the sale greater and by how much?
Answer: A)Sale for two weeks =Rs. 686,659. b)\Kriti books had greater sales in the second week than the first by Rs.114877
Step-by-step explanation:
Price of books sold in the first week=Rs.285891
Price of books sold in the second week=Rs.400768
Total Amount of books sold in the two weeks=Rs.285891 +Rs.400768 =
Rs. 686,659.
Fro the question, we can see that Kriti books store has more sales in the second week.
Which is greater than in the first week by Rs.114877
Rs.400768 -Rs.285891 =Rs.114,877
Simplify.
(2 x 108) + (4 * 103)
Give the answer in scientific notation
Answer:
628
Step-by-step explanation:
216+412 = 628
First you get rid of the brackets by solving what's in them. Then you just add up the numbers and BOOM. The equation is solved. :-)
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The answer is 207.
Search up the site Mathaway. It gives you answers.
The measures of the angles of a triangle are shown in figure below. Solve for x.
Answer:
Your answer will be 50
Step-by-step explanation:
First, add 62 + 68 to get 130.
Then, substract 130 by 180. Why? 180 HAS to be the total angle. 180 - 130 = 50
Therefore you have your answer.
What’s the answer????
100 POINTS!!! Given f(x) = [tex]4x^2[/tex] + 6x and g(x) = [tex]2x^2[/tex] + 13x + 15, find [tex](\frac{f}{g} )[/tex](x). Show your work.
What is the simplified value of the expression below? Help please
19 is greater than the sum the number n and 3
What is the exact volume of the cone?
A 80π ft³
B 4003π ft³
C 400π ft³
D 418710π ft³
Answer:
Step-by-step explanation:
volume of cone = πr²h/3 = π×5²×16 = 400π ft³
Solve for the?
Pls actually help
The probability of randomly selecting two oranges from a bowl of 5 oranges and 4 tangerines if the first selection is replaced
Answer:
25/81
Step-by-step explanation:
The probability of randomly selecting two oranges = (number of oranges in the bowl / total number of fruits in the bowl) x (number of oranges in the bowl / total number of fruits in the bowl)
total number of fruits in the bowl = 5 + 4 = 9
5/9 x 5/9 = 25/81
Sally's huge dog weighed 175 pounds in 2018 and then weighed 145 pounds in 2020. What was the rate of change in weight?
pounds per year?
Answer: 15 lbs per year
Step-by-step explanation:
Huge dog lost 30 lbs in a span of 2 years so divide to find rate of change which is 15lbs per year
Answer: -15 pounds per year
Step-by-step explanation:
We can first list out all the information like Year, Weight
so (2018, 175) and (2020,145)
It asks to find the slope, so we just use the slope formula
175-145/2018-2020 = 30/-2 which is -15
(Daily math question for points!!) A circle has a circumference of 50.26cm
To the nearest centimeter, what is the diameter of the circle?
Answer:
7.99912744cm
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
Circumference is 50.26 = pi*d d = 50.26/3.14 = 16
Help!! I will give brainlest
Answer:
Divide 9 from both sides
Step-by-step explanation:
9x = 45
[tex]\frac{9x}{9} = \frac{45}{9}[/tex][tex]x = 5[/tex]
the square of a number decreased by 15 is twice the number. find the number
further explanation please
Answer:
x = 5, -3
Step-by-step explanation:
x² - 15 = 2x
x² - 2x - 15 = 0
(x - 5)(x + 3) = 0
an earhtquake magnitude 2.0 or less
Richter magnitude Earthquake effect
< 2.0 Micro Micro earthquakes, not felt.
2.0-2.9 Minor Generally not felt, but recorded.
given that f(x) = 3x + 5, find f(x+2)
Answer:
f(x)=3(x)+5
f(x+2)=3(x+2)+5
=3x+6+5
=3x+11
(4x3+2x+6)+(2x3−x2+2
Answer:
Simplify the expression.
4x^3+x^2+10
Step-by-step explanation:
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