Answers
Following are the simplification to the given equation:
Given:
[tex]\to \frac{4x^2+ 4x}{2x^2-2}[/tex]
To find:
simplify=?
Solution:
Using formula:
[tex]\to (a^2-b^2)= (a+b)(a-b)[/tex]
[tex]\to \frac{4x^2+ 4x}{2x^2-2}[/tex]
In the numerator part common the value 4x and in the denominator we common the value 2 then:
[tex]\to \frac{4x^2+ 4x}{2x^2-2}= \frac{4x(x+ 1)}{2(x^2-1)}\\[/tex]
[tex]= \frac{4x(x+ 1)}{2(x^2-1^2)}\\\\= \frac{4x(x+ 1)}{2(x-1)(x+1)}\\\\= \frac{4x}{2(x-1)}\\\\= \frac{2x}{(x-1)}\\\\[/tex]
Therefore, the final answer is "[tex]\frac{2x}{(x-1)}\\\\[/tex]"
Learn more about the Simplify:
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The correct answer is (2 x)/(x - 1).
To simplify.
(4 x²+ 4 x)/(2 x²-2) = 4 x(x + 1)/2(x² - 1)
By this formula
(x² - 1²) = (x + 1)(x - 1).
4 x(x + 1)/2(x + 1)(x - 1) = (2 x)/(x - 1).
Therefore, simplification of (4 x²+ 4 x)/(2 x²-2) is (2 x)/(x - 1).
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Related Questions
If mKM = 112 degrees, find mLM.
Answers
Answer:
mLM is probably also 112˚
Or
(B) 112˚
Step-by-step explanation:
Find the average rate of change of f ( x ) = 3 x 2 − 9 on the interval [ 2 , b ] . Your answer will be an expression involving b
Answers
Answer:
[tex]m = 3b+6[/tex]
Step-by-step explanation:
Given
[tex]f(x)=3x^2 - 9[/tex]
Required
The average rate over [tex][2,b][/tex]
Average rate (m) is calculated using:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex][a,b] = [2,b][/tex]
So, we have:
[tex]m = \frac{f(b) - f(2)}{b - 2}[/tex]
Calculate f(b) and f(2)
[tex]f(x)=3x^2 - 9[/tex]
[tex]f(b)=3b^2 - 9[/tex]
[tex]f(2)=3*2^2 - 9 = 12 - 9 = 3[/tex]
So, we have:
[tex]m = \frac{f(b) - f(2)}{b - 2}[/tex]
[tex]m = \frac{3b^2 - 9 - 3}{b - 2}[/tex]
[tex]m = \frac{3b^2 - 12}{b - 2}[/tex]
Expand the numerator
[tex]m = \frac{3b^2 + 6b-6b-12}{b - 2}[/tex]
Factorize
[tex]m = \frac{b(3b + 6)-2(3b+6)}{b - 2}[/tex]
Factor out 3b + 6
[tex]m = \frac{(b -2)(3b+6)}{b - 2}[/tex]
Cancel out b - 2
[tex]m = 3b+6[/tex]
If the entire school had 720 students can use this data to estimate how many of them would say that it takes them more than 10 minutes to get to school
Answers
Answer:
I don't know but this question feels incomplete
Please help me with this!!!!! I don't get it
Answers
Answer:
y = -1/7
Step-by-step explanation:
Mathematically, the distance between two points on a coordinate plane can be calculated using the formula;
d = √(x2-x1)^2 + (y2-y1)^2
for the first two points;
(5,y) and (1,4) ; we have
d = √(5-1)^2 + (y-4)^2
d = √(y-4)^2 + 16
For the other two;
(5,y) and (10,-3)
We have ;
d = √(5-10)^2 + (y + 3)^2
d = √(y+ 3)^2 + 25
from the question, these two distances are equal
all we have to do here is to equate the two distances
So we have it that;
(y-4)^2 + 16 = (y + 3)^2 + 25
y^2 -8y + 16 + 16 = y^2 + 6y + 9 + 25
-8y + 32 = 6y + 34
-8y -6y = 34-32
-14y = 2
y = -2/14
y = -1/7
Please help asap thanks
Answers
Can someone help me !!
Answers
-7 second graph(now put points in graph starting from x the horizontal axis then y the vertical axis
How is a counter-argument used in a persuasive research essay?
O A. As a claim that is capable of being supported by an example or
research data
O B. As an argument or point of view that has not yet been proven by
the author
O C. As an opportunity to respond to people who might disagree with
your claim
O D. As a supporting point that explains why a claim is true or should
be accepted
Answers
As an opportunity to respond to people who might disagree with your claim.
solve for x round to the nearest tenth if necessary
Answers
Answer:
22.68
Step-by-step explanation:
SOH (opp/hyp)
sin34 = 12/x
(x)sin34 = 12 - divide sin34 on both sides
x = 12/sin34
x = 22.68
Interior and exterior triangle angles
Answers
Answer:
m<S = 38°
Step-by-step explanation:
Given:
m<R = (x + 17)°
m<S = (2x - 2)°
m<T = (5x + 5)°
Required:
m<S
Solution:
First, we will need to determine the value of x by creating an equation. Thus:
m<R + m<S + m<T = 180° (sum of triangle)
Plug in the values
(x + 17)° + (2x - 2)° + (5x + 5)° = 180°
x + 17 + 2x - 2 + 5x + 5 = 180
Add like terms
8x + 20 = 180
8x + 20 - 20 = 180 - 20
8x = 160
8x/8 = 160/8
x = 20
Find m<S:
m<S = 2x - 2
Plug in the value of x
m<S = 2(20) - 2 = 40 - 2
m<S = 38°
Simplify the radical.
Answers
Answer:
See below for answers
Step-by-step explanation:
Problem 7: [tex]\sqrt{125}=\sqrt{25*5}=\sqrt{25}\sqrt{5}=5\sqrt{5}[/tex]
Problem 8: [tex]\sqrt{200}=\sqrt{100*2}=\sqrt{100}\sqrt{2}=10\sqrt{2}[/tex]
hope this helps:))
I need help to find the answer.
Answers
A function g is described below:
· g(2) = 2 ( 23 – 3) = 5
• domain is all real numbers greater than 0
The range of g is all real numbers greater than or equal to
Answers
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
would appreciate any help! ranking brainliest ofc
Answers
Answer:i believe its 64 but i do apoligize if im wrong
Step-by-step explanation:
Help me!! Please help me find the answer!!
Answers
Answer:
x = 42°
Step-by-step explanation:
You can mark the opposite angle from 96° as 96° and the 2 other unknowns as y.
96 • 2 + 2y = 360
168 = 2y
y = 84
x is half of y.
84 ÷ 2 = 42
Answer:
[tex]x=42^{o}[/tex]
Step-by-step explanation:
Area of a triangle is 180 degrees
Here both the triangles are same so, form an equation:
[tex]x+x+96=180[/tex]
[tex]2x+96=180[/tex]
[tex]2x=180-96[/tex]
[tex]2x=84[/tex]
[tex]x=84/2[/tex]
[tex]x=42^{o}[/tex]
What percent of Rs.400 is Rs. 20000?
Answers
Answer:
2%
Step-by-step explanation:
43. If L is the midpoint of KN an MP, which methods can be used to prove the triangles are congruent
Answers
Answer:
Step-by-step explanation:
Two triangles are said to be congruent if all their corresponding sides and corresponding angles are equal to each other.
Given that L is the midpoint of KN an MP, hence:
KL = LN; and ML = LN
Also, ∠KLM = ∠PLN (vertical opposite angles are congruent to each other)
Since ∠KLM = ∠PLN, KL = LN; and ML = LN, we can hence say that triangle KLM and triangle LNP are congruent triangles using Side-angle-side (SAS) triangle congruency theorem.
The SAS theorem states that if two sides and one included angle of one triangle is equal to two sides and an included angle of another triangle, then both triangle are congruent
Can someone help plz
Answers
Answer:
Sr i dont know
Step-by-step explanation:
Bobs hardware sells buckets in five different sizes. The tiny bucket holds 5 quarts, the small holds 10 quarts, the medium holds 20 quarts, and the large holds 40 quarts. How many quarts will the extra-large bucket hold?
Answers
Answer:
80
Step-by-step explanation:
you have to guess the pattern and it seems like each bucket's size is twice the previous one
tiny = 5
small = 10 (tiny * 2)
medium = 20 (small * 2)
large = 40 (medium * 2)
extra-large = 80 (large * 2)
There are 312 cards in 6 deck of playing cards write the ratio as a fraction them find the unit rate
Answers
Answer:
6x: 312
x: 52
Step-by-step explanation:
Let the deck be denoted by x then
6x: 312
There are 312 cards in 6x decks
In 1 deck x there are 312/6= 52 cards
6x: 312
6x/6: 312/6 Cancelling both sides by 6
x: 52
In ratio both the sides are divided by the same number to get equivalent fractions.
In 1 deck there are 52 cards
Find the values of m and n.
Answers
Answer:
M = 36
N = 27
Step-by-step explanation:
Angles in a triangle equal 180
Angles on a straight line equal 180
a survey of 100 high school students provided this frequency table on how students get to school: what is the probability that a randomly selected student either takes the bus or walks
Answers
Answer:
3/5
Step-by-step explanation:
;)
The probability that a randomly selected student either takes the bus or walks is 3/5.
What is the probability?
The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes.
A survey of 100 high school students provided this frequency table on how students get to school:
The probability that a student selected is a senior student or one that drives to school.
From the table, the number of senior students is 25 + 20 + 5 = 50
So the probability of selecting a senior student is 50/100 = 1/2
Now the probability of selecting a student that drives to school.
The number of students that drive to school is 3 + 2 +5 = 10
So the probability of a student who drives to school is 10/100 = 1/10.
The probability that a randomly selected student either takes the bus or walks is;
[tex]=\dfrac{1}{2}+\dfrac{1}{10}\\\\= \dfrac{1 \times 5+1\times 1}{10}\\\\= \dfrac{1+5}{10}\\\\= \dfrac{6}{10}\\\\=\dfrac{3}{5}[/tex]
Hence. the probability that a randomly selected student either takes the bus or walks is 3/5.
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Solve the system.
x + y - z = 17
y +z = 1
z = -3
Answers
Answer:
(10, 4, -3)
Step-by-step explanation:
z = -3
y + z = 1
y - 3 = 1
y = 4
x + y - z = 17
x + 4 - -3 = 17
x + 4 + 3 = 17
x + 7 = 17
x = 10
(10, 4, -3)
Answer:
(10,4,-3)
Step-by-step explanation:
(x,y,z)
z= -3 given
y+z = 1 (equation 2)
y-3 =1
y=4 (solve 2 after substation)
eq #1 : x + 4 - (-3) = 17
x+4+ 3 = 17
x+ 7 = 17
x=10
(10,4,-3)
⚠️6TH GRADE MATH⚠️
Six percent of the sale price of a home
goes to the real estate agents as their
commission. The buyer's agent and
the seller's agent split the commission
evenly. How much commission does
each agent get when they complete
the sale of a $340,000 house?
Answers
Answer:
10200
Step-by-step explanation:
0.06*340,000=20400
20400÷2=10200
2. Alin ang mas mabigat, isang kilong pako o isang libong
gramo ng bigas?
Answers
Answer:
Isang Kilong Pako
Step-by-step explanation:
Ang pako po ay metal at ang bigas po ay grain lang kung ikukumpara mo sa isang butil ng bigas at pako, diba pako po ang mas mabigat, kung isang kilo pa po ehh mas mabigat na po iyon kaysa sa bigas.
Thank you Please mark as Brainliest :>
The coordinates of the two vertices of square QRST are Q(3.6, 2.1) and R(-5.4, 2.1) what is the length in units of each side of square QRST?
Answers
Answer:
the length of each side of the square QRST is 9 units.
Step-by-step explanation:
By using distance formula we find the distance between the two vertices Q and R therefore giving us the length of one side, 9 units. Since it is a square all the sides are equal in length, so each side of the square QRST is 9 units.
Hope this helps uwu
Which of the following quadratic regression equations best fits the data
shown below?
Please help and thank you.
Answers
Answer:
"B" ... see the image...
Step-by-step explanation:
Are you supposed to do this by hand???
You can use desmos, excel etc. to calculate different regressions
Help with this question, not sure what the answer is
Answers
Answer:
3rd option
Step-by-step explanation:
The zeros ( where the graph crosses the x- axis ) are x = 3 and x = 7
The corresponding factors are then (x - 3) and (x - 7)
The equation is then
f(x) = a(x - 3)(x - 7) ← a is a multiplier
To find a substitute any point on the graph into the equation.
Using (8, 15 ) , then
15 = a(8 - 3)(8 - 7) = a(5)(1) = 5a ( divide both sides by 5 )
3 = a
Thus
f(x) = 3(x - 3)(x - 7)
A circular track has a radius of 70cm. If an athlete runs around it twice, how far has he run?
Answers
Answer:140 cm
Step-by-step explanation: If they ran twice: 70*2=140cm
Lee will buy 3 notebooks for $1.29 each, 2 dozen pencils at $3.45 a dozen, and a box of pens for $14.85 a box. How much will Lee spend on his school supplies?
Answers
Answer:
Used another answer on Brainly
Step-by-step explanation:
If 3 notebooks are 1.29 each, that’s 3.87 on notebooks. two dozen pencils at 3.45 a dozen is 6.90. add 3.87, 6.90, and 14.85 for a total of $25.62.
If 3 notebooks are 1.29 each, that’s 3.87 on notebooks. two dozen pencils at 3.45 a dozen is 6.90. add 3.87, 6.90, and 14.85 for a total of $25.62.
Which one of the following is a correct equation?
Answers
Answer:
B. cos 41° = [tex]\frac{x}{19}[/tex]
Step-by-step explanation:
cos of an angle is the adjacent side of the angle over the hypotenuse.
Answer:
Answer is a
[tex]{ \boxed{ \bf{ \cos( \theta) = \frac{adjacent}{hypotenuse} }}} \\ { \tt{ \cos(41 \degree) = \frac{x}{19} }} \\ \\ { \boxed{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ { \tt{ \sin(41 \degree) = \frac{ - }{19} }}[/tex]