Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)
Answers
Answer:
(x - 2)(x + 1)(2x -1)
Step-by-step explanation:
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
here, we have,
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
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Related Questions
Evaluate 7x2 - 4y for x = -6 & y = 9.
Please help
Answers
7 x 2 - (4x9)
14 - 36
= -22
PLEASE THIS IS MY THIRD TIME ASKING TODAY I NEED HELP!!!
please only answer if you know how to do this!
Answers
Answer:
The answers are:
Step-by-step explanation:
1)Adjacent
2)Vertical
3)Corresponding
4)None of these
5)1,7 3,5 4,6 2,8 (<--angle numbers)
6)4,5 2,7 (<--angle numbers)
7)1=85, 2=95, 3=85, 4=85
8)1=60, 2=120, 3=60, 4=120
9)1=90, 2=90, 3=90, 4=90
10) No, they are not parallel. A protractor would show that the intersection angles are different, meaning the lines aren't parallel.
SORRY it took so long hope this helps!!
Answer:
1.
adjacent
2.
vertical
3.
corresponding
4.
none (just regular interior and thats not an option)
5.
(<5,<7) (<6,<8) (<1,<3) (<2,<4)
6.
(<2,<7) (<6,<3)
7.
<1= 85
<2= 95
<3= 85
<4= 85
8.
<1= 60
<2= 120
<3= 60
<4= 120
9.
<1= 90
<2= 90
<3= 90
<4= 90
10. No, its not parallel because the corresponding angles 1 and 7 aren't equal. You can use a protractor to figure this out by finding the measurement of angles 1 and 7. Because they aren't equal degrees, the lines will cross at some point
Select the Equivalent Expression. 3 negative 5 =? I cant find the negative sign on here lol.
Answers
Answer:
Step-by-step explanation:
do you mean 3-5=-2 ?
Answer:
3+,-5 =-2
Step-by-step explanation: you mean this if you do your welcome
Find the rule. Solve for n.
Answers
Answer:
X is always 1+ bigger than Y
EX: if you have y as 9, X will be 10
Step-by-step explanation:
N = 9
The bases of a trapezoid lie on the lines y=2X +7 and y= 2X -5. Write the equation that contains the midsegment of the trapezoid
Answers
Given:
The bases of a trapezoid lie on the lines
[tex]y=2x+7[/tex]
[tex]y=2x-5[/tex]
To find:
The equation that contains the midsegment of the trapezoid.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
On comparing [tex]y=2x+7[/tex] with slope intercept form, we get
[tex]m_1=2,b_1=7[/tex]
On comparing [tex]y=2x-5[/tex] with slope intercept form, we get
[tex]m_2=2,b_2=-5[/tex]
The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.
[tex]m=m_1=m_2=2[/tex]
The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.
[tex]b=\dfrac{b_1+b_2}{2}[/tex]
[tex]b=\dfrac{7-5}{2}[/tex]
[tex]b=\dfrac{2}{2}[/tex]
[tex]b=1[/tex]
So, the y-intercept of the required line is 1.
Putting m=2 and b=1 in slope intercept form, we get
[tex]y=2x+1[/tex]
Therefore, the equation of line that contains the midsegment of the trapezoid is [tex]y=2x+1[/tex].
can anyone answe this?
Answers
Answer:
Corresponding
Step-by-step explanation:
determine if JK and LM parallel, perpendicular, or neither .
Answers
Answer:
3 - Perpendicular.
4 - Parallel.
Step-by-step explanation:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]JK = \frac{1-(-7)}{-4-(-10)} = \frac{8}{6} = \frac{4}{3}[/tex]
[tex]LM = \frac{-2-2}{-6-(-3)} = \frac{-4}{3}[/tex]
Perpendicular, because two lines are considered perpendicular if their slopes are opposite reciprocals.
[tex]JK = \frac{-2-(-2)}{3-11} = \frac{0}{-8} = 0[/tex]
[tex]LM = \frac{-2-(-7)}{1-1} = \frac{5}{0} = 0[/tex]
NEED HELP ON HOMEWORK ASAP
Answers
Answer:c
Step-by-step explanation:
3*1= 3 3*2=6 and so on
For which equation is 3 a solution(I need help)
Answers
Answer:
B
Step-by-step explanation:
I did it on paper
A rectangle with length 3 1/2 ft and width 2 1/4 ft what is the area
Answers
Answer:
Step-by-step explanation:
Hope this helps
click link
Answer: 5 2/6
Step-by-step explanation:
Select the corect answer which expression has a value closest to 1 (Use 3.14 as the value of π.)
Answers
is this a muliple question? if so wheres the answers?
Answer:
dear the correct answers are not given so how can we choose ?
a block that is 2 inches wide,3 inches long, and 2 inches tall. what is the volume of a tower that is built by 3 blocks?
Answers
Answer:
36
Step-by-step explanation:
length*Width*height
3*2*2=12
12*3=36
What is the pattern for valence electrons on the periodic table?
Answers
Answer:
In general, the number of valence electrons is the same within a column and increases from left to right within a row. Group 1 elements have just one valence electron and group 18 elements have eight, except for helium, which has only two electrons total.
Step-by-step explanation:
Elena is ordering dried chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound.
Elena spends less than $50 on d pounds of dried chili peppers and h pounds of corn husks.
Can Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50? Explain your reasoning.
Answers
Yes, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
What is the reference as the equation?In its most basic form, an equation is an assertion that demonstrates that two formulas are equal. 63x + 5 = 14, for example, is an equation wherein 63x + 5 and 14 are two representations separated by a 'equal' sign.For the given question;
Let the pounds of dried chili peppers be 'd'.Let pounds of corn husks be 'h'.Chili peppers cost $16.95 per pound Corn husks cost $6.49 per pound.The equation becomes;
16.95 d + 6.49 h
16.95 (1.5) + 6.49 (3)
25.425 + 19.47
44.895 < $50
Thus, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
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In the triangle below x= cm round to the nearest tenth 15 is the hypotenuse 35 is a angle and 90 in an angle. Please help
Answers
Answer:x= 38.079
Step-by-step explanation:
i got it right
Which whole numbers does the square root of 104 falls in between?
Answers
Answer:
10 and 11
Step-by-step explanation:
The square root of 104 is 10.1980390272. This falls between the whole numbers 10 and 11.
Pencils come in packages of 10 . Erasers come in package of 12 . Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil . How many packages of pencils and erasers should Phillip buy ?
Answers
Answer: 60
Step-by-step explanation:
From the question, we are informed that pencils come in packages of 10 while erasers come in package of 12 .
We are further told that Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil, this simply means that we have to calculate the lowest common multiple for 10 and 12.
Multiples of 10 = 10, 20, 30, 40, 50, 60,
Multiples of 12 = 12, 24, 36, 48, 60, 72
Therefore, the packages of pencils and erasers that Phillip should buy will be 60
Fill blank boxes with the right answer.
Mrs. Favre sees that the Chicken Joint is having a sale. A small bucket of chicken usually cost $12.00 but today they are giving 30% off the small bucket.
How much will Mrs. Favre save on one small bucket of chicken? $______
What is the discount cost of one small bucket of chicken? $________
What is the discount cost of 5 small buckets? $______
Answers
Answer:
1. $3.60
2. $8.40
3. $42
Step-by-step explanation:
Hope this helps.
If x and y vary directly and x=25 when y=100 find x when y=24.
PLEASE HELP FASTTTTTTT
Answers
Answer:
x = 6
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 25 when y = 100 , then
100 = 25k ( divide both sides by 25 )
4 = k
y = 4x ← equation of variation
When y = 24 , then
24 = 4x ( divide both sides by 4 )
6 = x
A baseball team had 75 players show up for tryouts last year and this year had 90 players show up for tryouts. Find the percent increase in players from last year to this year.
Answers
Answer: 33.3%
Step-by-step explanation:
First find the difference between the players in try-outs over the years.
= 90 - 75
= 25
Then use this difference to find the percent increase:
= Difference / Players last years * 100%
= 25 / 75 * 100%
= 33.3%
Please help.
Is algebra.
Answers
4 would be 6
when dealing with outside exponents you multiply them, hope this helps :)
On coordinate plane point located at (- 1, - 2) and point K located at (8, 10) What is the distance, in units from point to point
Answers
Answer:
The answer would be 17
Step-by-step explanation:
Answer:
i belive your answer would be 8.5 units if i did the math correctly, im very sorry if thats wrong.
I hope this helps! :)
cuantas monedas de 20 son 15€ ?
Answers
Answer: 75
Step-by-step explanation:
105 students in 3 Classes
Answers
Answer:
35
Step-by-step explanation:
just divide em
The small piston of a hydraulic press has an area of 2.0 cm^2 and the large piston has an area of 16 cm^2. If the small piston has a force of 4.0 N applied to it, the output force of the large piston is ____? A.) 0.50 N B.) 2.0 N C.) 8.0 N D.) 32 N
Answers
Answer:
32N
Step-by-step explanation:
Given data
A1= 2cm^2
A2= 16cm^2
F1= 4N
F2=???
Applying the formula
Presure= force/area
P=F/A
F1/A1=F2/A2
substitute
4/2= F2/16
cross multiply
F2= (16*4)/2
F2= 64/2
F2= 32N
Hence the output force is 32N
Your email inbox is 88% full. If you have 3168 emails in your inbox, then how many emails can your inbox hold?
Answers
Answer:
432 more emails
Step-by-step explanation:
I) Find decimal of remaining inbox:
88% = 0.88
1 - 0.88 = 0.12
II) Find TOTAL capacity of inbox emails:
3168 / 0.88 = 3600
III) Find remaining capacity of emails:
3600 x 0.12 = 432 more emails
Alexandra has a home-based business putting on children’s parties. She charges $60 to design the party and then $4.00 per child. Write a function rule that relates the total cost of the party to the number of children n.
f(n) = 4 + 60n
f(n) = 4 – 55n
f(n) = 4n – 55
f(n) = 60 + 4n
Answers
Answer: I don't know/ A. f(n) = 4 + 60n
60+4n=cost. Because the number of children is multiplied by the cost for each child
i would say f(n)=60 +4n but i am probably wrong
Step-by-step explanation: other brainly's
f(n) = 4n + 60...or f(n) = 60 + 4n
f(n)=60+4n that is the correct answer!!!!!!
A farmer need five men to clear his farm in 10 days how men will he need, if must finish clearing in 2 days if they work at the same rate
Answers
Answer:
1 person
Step-by-step explanation:
It is given that a farmer wants 5 persons to complete a work of clearing his field in ten number of days.
We have to find out the number of persons required if the farmer needs to clear his field in 2 number of days.
Therefore according to the information given :
10 days = 5 persons
∴ 1 day = [tex]$\frac{5}{10}$[/tex] persons
So 2 days = [tex]$\frac{5}{10}\times 2$[/tex] persons
[tex]$=\frac{5}{5}$[/tex] person
= 1 person
identify the similar triangles in the diagram, then sketch them so the corresponding sides and angles have the same orientation.
Answers
The triangle KLM and triangle JKM are congruent triangle
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Triangles that are identical in size and shape are said to be congruent triangles. Inferred from this is that the matching sides and angles are equal. Without checking each of the triangles' sides and angles, we may determine whether two triangles are congruent.
Given a triangle LKJ
We have to find similar triangles in the diagram so the corresponding sides and angles have the same orientation.
By the figure given we can write following things:
LK/LJ = MK/JK
LK/JK = MK/MJ
So the triangle KLM ≅ triangle JKM ≅ triangle JLK
Hence the triangle KLM and triangle JKM are congruent triangle
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When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?
(I've seen other questions like this, but the answer is wrong. It's not 50 or 52.49 or 52.5.)
Answers
Answer:
53
Step-by-step explanation:
58÷1.095= 53 is the answer
Answer:
5.03196347032
Step-by-step explanation:
We do:
.095x+x=58
1.095x=58
x=52.96
52.96 is a approximation and when you do the math and see what 9.5 of 52.96 plus 52.96 is you get 57.9912 which is super close to 8 The exact answer is x = 5.03196347032
