(4x^2-9)/(2x^2-9x+9) / (2x+3)/(4x^2-12x)
Answers
Answer:
I attached images that should help
Answer:
2x-3
______
8x³•(x-3)
Step-by-step explanation:
LET ME EXPLAIN, THAT HOW I GET THE ANSWER
STEP 1
((4•(x2))-9)
———————————————— ÷ (2x+3) ÷ (22x2-12x)
(((2•(x2))-9)+9)
STEP 2
((4•(x2))-9)
———————————— ÷ (2x+3) ÷ (4x2-12x)
((2x2-9)+9)
STEP 3
(22x2 - 9)
—————————— ÷ (2x + 3) ÷ (4x2 - 12x)
2x2
STEP 4
4x2 - 9
Simplify ———————
2x2
MY EXPLANATION THAT HOW TO GET THE SQUARE:
Trying to factor as a Difference of Squares:
4.1 Factoring: 4x2 - 9
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : 9 is the square of 3
Check : x2 is the square of x1
Factorization is : (2x + 3) • (2x - 3)
4.2 Attempting Polynomial Long Division
Attempted Long division of
2x + 3
By :
2x2
Was aborted due to the followinf reason :
Divisor bigger than Dividend
THIS IS THE CONTINUATION OF MY ANSWER:
Equation at the end of step 4
(2x + 3) • (2x - 3)
——————————————————— ÷ (2x + 3) ÷ (4x2 - 12x)
2x2
STEP 5
(2x+3)•(2x-3)
Divide ————————————— by 2x+3
2x2
Canceling Out :
5.1 Cancel out (2x + 3) which appears on both sides of the fraction line.
Equation at the end of step 5
(2x - 3)
———————— ÷ (4x2 - 12x)
2x2
STEP 6
2x-3
Divide ———— by 4x2-12x
2x2
STEP 7
Pulling out like terms
7.1 Pull out like factors :
4x2 - 12x = 4x • (x - 3)
Multiplying exponential expressions :
7.2 x2 multiplied by x1 = x(2 + 1) = x3
This is the final ans:
2x - 3
—————————————
8x3 • (x - 3)
Related Questions
How did the Pan-African movement lay the foundation for Kenya's independence in 1963?
Answers
Answer:
The British controlled Africa, but feelings of nationalism started by the pan Africa movement lead to more and more people in Africa wanting their independence. ... Nationalism lead to the Kenyans feeling that their land was taken unfairly. Eventually, conflict led to independence.
Step-by-step explanation:
Pension = 12% of salary
Health Insurance = .3% of salary
Disability Insurance = 0.4% of salary
If Jacob's total contract with benefits is worth $48,814.20, what is his salary
Answers
Answer:
Salary = $43,313.40
Step-by-step explanation:
Let his salary be x.
Now we're told that;
Pension = 12% of his salary = 0.12x
Health Insurance = 0.3% of salary = 0.003x
Disability Insurance = 0.4% of salary = 0.004x
Since his total contract with benefits is worth $48,814.20
This means that;
x + 0.12x + 0.003x + 0.004x = 48814.2
1.127x = 48814.2
x = 48814.2/1.127
x = $43,313.40
Drag each expression to the correct location on the table.
Place each algebraic expressions next to its corresponding verbal description
Answers
Answer:
See attached
Step-by-step explanation:
The answer is pictured below
Complete this table so that the cost per banana remains the same:
The value of a is $
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type your answer...
.
The value of b is $
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type your answer...
.
The value of c is $
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type your answer...
.
The value of d is $
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type your answer...
.
The value of e is
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bananas. The value of f is
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type your answer...
bananas.
Answers
Simplify
3x + 5 + 2x - 4
Answers
Answer:
5x+1
Step-by-step explanation:
Can I get some help? Pls?
Answers
Answer: C, 3158
Step-by-step explanation:
We are given the equation [tex]h(x) = -49x-125[/tex] and we are given the hint to substitute [tex]h(-67)[/tex] into the equation. So let's do that!
[tex]h(-67) = -49(-67)-125[/tex]
we substitute -67 for the values of x.
Then, we simplify.
[tex]= 3283 - 125[/tex]
[tex]h(x) =3158[/tex]
We then subtract the numbers we multiplied together to get out answer: 3158!
Hoped this helped!
The number of workers, f(x), needed to complete a building is given by the function below where x represents the number of floors in the building.
Select the correct statement.
When f(3) = 18, the 3 represents the the number of workers needed and the 18 represents number of floors.
When f(3) = 18, the 3 represents the number of floors and the 18 represents the number of workers needed.
When f(4) = 48, the 4 represents the number of floors and the 48 represents the number of workers needed.
When f(4) = 48, the 4 represents the the number of workers needed and the 48 represents number of floors.
Answers
Answer:
When f(4) = 48, the 4 represents the number of floors and the 48 represents the number of workers needed.
Step-by-step explanation:
Just took the test
PLEASE! FIRST CORRECT ANSWER GETS BRAINLIEST!!
Consider f(x) = 1.8x – 10 and g(x) = −4
Select the equation that can be used to find the input value at which f (x ) = g (x ), and then use that equation to find the input, or x -value.
A) 1.8x – 10 = –4; x = 10/3
B) 1.8x = –4; x = 1.8 x = -20/9
C) 1.8x – 10 = –4; x = -10/3
D) -4 = x
Answers
Answer:B
Step-by-step explanation:
can someone please help!! I don't understand so if you give me an explanation ill make you brainiest
Answers
Answer:
so what it is asking you is if there are so many minutes that the hamburgers are being brought out at is how fast it can take the workers to get out as many hamburgers. so at the rate of 1 minute they can get 1 and a half wrappers sold with in one minute and so forth. hope this helps
Step-by-step explanation:
Answer:
ougivkvy
Step-by-step explanation:
Find the slope of the line. Use the "/" to make a fraction
Answers
Answer:
-1/6
Step-by-step explanation:
The slope is negative because it's going left. If you count the spaces between the points, they go back 6 and up 1, making it -1/6
Gavin drank 4 5 liter of water Monday before going jogging. He drank 2 3 liter of water after his jog. How much water did Gavin drink altogether? Write your answer as a mixed number.
Answers
Answer:
8.0 litersStep-by-step explanation:
The question is not well-formatted, this is supposed to be the correct format
Gavin drank 4.5 liter of water Monday before going jogging. He drank 2.3 liter of water after his jog. How much water did Gavin drink altogether? Write your answer as a mixed number.
Given
we are told that he first drank 4.5 liters of water before jogging
after jogging he drank 2.3 liters
Required
Total amount of water drank
=4.5+3.5
=8.0liters
buffy ate 100 fries in 5 minutes find her fry-eating rate in fries per minute
Answers
Answer:
20 fries per minute.
Step-by-step explanation:
If you express the number of fries per minute as 100/5 (as there are 5 minutes and 100 fries), assuming she ate at the same rate per minute, she had 20 fries per minute.
To check, multiply 20 by 5, in order to find out her fries per 5 minutes. It should be equal to 100.
Answer:
20 Fries per minute
Explanation:
20 fries x 1 minute = 100 fries in 5 min
51% of the tickets sold at a school carnival were early-admission tickets. If the school sold 100 tickets in all, how many early-admission tickets did it sell?
Answers
Answer:
51 were the total number of the tickets sold at a school carnival were early-admission tickets.
Step-by-step explanation:
Total number of tickets sold by = 100
Let [tex]x[/tex] be the early-admission tickets sold by the school.
As 51% of the tickets sold at a school carnival were early-admission tickets.
so
[tex]x=\frac{51}{100}\times 100[/tex]
[tex]= 51[/tex]
Therefore, 51 were the total number of the tickets sold at a school carnival were early-admission tickets.
Drew earns money washing cars for his neighbors on the weekends. Drew charges a set rate for each car he washes.
The points on the following coordinate plane show how much Drew charges for 2,5, and 8 cars.
How much does Drew charge for
4 cars?
Answers
Answer:
The answer is 30
I can't explain because the explanation is long
The math says expand 5(2-7x) what is the answer
Answers
Step-by-step explanation:
in my opinion
5(2- 7x)
5×2 - 5×7x
= 10-35x
decide whether the sequence Is a arithmetic, geometric, or neither 5,1,-3,-7
Answers
Answer:
Arithmetic
Step-by-step explanation:
5-4=1
1-4=-3
-3=4=-7
Enunciado:Si una empresa determina que sus costos obedecen a un modelo lineal y además sabe que si produce $10$ unidades sus costos totales son de $4000$ dólares y que si produce $15$ unidades sus costos ascienden a $5000$ dólares, entonces la función que modela sus costos totales es:
Answers
Responder:
y = 200x + 2000
Explicación paso a paso:
Deje que la ecuación lineal se exprese como y = mx + c
m es la pendiente
c es la intersección
Si la empresa produce $ 10 unidades, sus costos totales son $ 4000 dólares y si produce $ 15 unidades sus costos ascienden a $ 5000 dólares, entonces podemos representar esto como puntos de coordenadas;
(10,4000) y (15,5000)
Conseguir la pendiente
m = 5000-4000 / 15-10
m = 1000/5
m = 200
Obtener la intersección c
Sustituya m = 2000 y el punto (10, 4000) en la fórmula y = MX + c
4000 = 200 (10) + c
4000-2000 = c
c = 2000
Sustituya m = 200 y c = 2000 en la ecuación y = mx + c
y = 200x + 2000
Por tanto, la expresión lineal requerida es y = 200x + 2000
Solve for x.
X + 142
135°
Answers
Answer:
X=-7
Step-by-step explanation:
X + 142=135°
X=135-142
X=-7
So the value of X is -7
The price for chips have increased by 12% in recent years.If the approximate price for chips today is 2.50, how much was original price before the increase?
Answers
Answer:
Approximately $2.232
Step-by-step explanation:
Given that:
Percentage increase in Price of chips = 12%
Approximate price of chips today = $2.50
Original price before the increase :
Let original price = y
(Original price) + (12% of original price) = approximate price today
y + (12% of y) = $2.50
y + 0.12y = 2.50
1.12y = 2.50
Divide both sides by 1.12
1.12y / 1.12 = 2.50 / 1.12
y = 2.2321428
y = $2.232
Hence, original price of chips is approximately $2.232
Write an equation in slope-intercept form of the line that passes through the given points.
y=
Answers
Answer:
[tex]y=\frac{1}{3}x-3[/tex]
Step-by-step explanation:
Slope is 1/3 and the y intercept is (0,-3), if you plug these answers into slope intercept form (y=mx+b) you get this answer
Last year during the hurricane season the amount of rain that fell on the texas gulf coast in october was 14 inches which was 3 1/2 times more than the rainfall during the month of september ?
Answers
Given :
Last year during the hurricane season the amount of rain that fell on the Texas gulf coast in October was 14 inches which was 3 1/2 times more than the rainfall during the month of September.
To Find :
Amount of rainfall in September.
Solution :
Let, amount of rainfall in September is x.
It is given that rainfall in October is 3 1/2 = 7/2 times of september.
So,
[tex]\dfrac{7}{2}x=14\\\\x = 4\ inches[/tex]
Therefore, rainfall in October is 4 inches.
Hence, this is the required solution.
Hey so I need some help.
Is this the right answer? Or is it different? Thanks for any help <3
Answers
Answer: Yes, your answer would be correct.
Step-by-step explanation:
Reason:
y= -1/2(2) + 11 = 10
y = -1/2(4) + 11 = 9
y = -1/2(6) + 11 = 8
y = -1/2(8) + 11 = 7
All of the values are correct when plugged in.
Find the total perimeter of the composite figure.
>30 in
Plz HURRY
Answers
Answer:
100
Step-by-step explanation:
because if 3 circles wide is 30 in then 2circles wide is 20 and 30+30+20+20 =100
go math chapter 4 riview
Answers
Answer:
OKAY
Step-by-step explanation:
Answer:
Okay
Step-by-step explanation:
HELP I will give Brainliest!
Find the measure of the angle indicated.
Answers
Answer:
45
Step-by-step explanation:
Jermaine buys T-shirts for $6 each and marks up the price by 45%.
How much does Jermaine charge for each T-shirt (with the mark-up)?
Answers
Answer:
8.7
Step-by-step explanation:
6*1.45=8.7
The box plot shows the time it takes you and your classmates to get to school. What is the median time spent traveling to school?
A.) 6 minutes
B.) 12 minutes
C.) 16 minutes
D.) 24 minutes
Answers
Because if you look the middle of the box plot the line is at 12
Answer:
B 12
Step-by-step explanation:
I got it right
Juan and Dylan are selling bottled water. Juan sold 4 bottles for every 6 that Dylan sold. Dylan sold 16 more bottles than Juan. How many did each boy sell?
Answers
Answer:
Dylan sold 48 bottles
Juan sold 32 bottles
Step-by-step explanation:
The ratio of bottles sold is;
J:D = 4:6
Dylan sold 16 more than Juan
That means d = j + 16
so;
j/j + 16 = 4/6
6j = 4(j + 16)
6j = 4j + 64
6j - 4j = 64
2j = 64
j = 64/2
j = 32
d = j + 16
d = 32 + 16
d = 48
Which variable is most important to the following problem?
Dorothy played the first 17 minutes of the game. Evelyn then replaced her for the rest of the half. Evelyn started the second half and was replaced by Dorothy with 21 minutes lest in the game. If each half is 45 minutes long, how many minutes did Evelyn play?
Answers
Answer:
The number of minutes Evelyn played in the second half.
Step-by-step explanation:
Write the rate as a unit rate. 44 points in 4 quarters
Answers
Answer:
44 p points in 4 quarters = llets per Qtr.