Find the least common denominator for these
two rational expressions.
X3/x2+4x+4 -9/x2+5x+6
Answers
Answer:
The least common denominator of the two rational expressions is [tex](x+2)^{2}\cdot (x+3)[/tex].
Step-by-step explanation:
Let be the following rational expressions:
[tex]\frac{x^{3}}{x^{2}+4\cdot x + 4}, \frac{-9}{x^{2}+5\cdot x + 6}[/tex]
Then, we factor each denominator:
[tex]\frac{x^{3}}{(x+2)^{2}}, \frac{-9}{(x+3)\cdot (x+2)}[/tex]
Now, we compare each denominator to find all missing binomials so that each expression may have a common denominator:
[tex]\frac{x^{3}}{(x+2)^{2}} \rightarrow (x+3)[/tex]
[tex]\frac{-9}{(x+3)\cdot (x+2)} \rightarrow (x+2)[/tex]
Hence, we conclude that least common denominator of the two rational expressions is [tex](x+2)^{2}\cdot (x+3)[/tex].
Related Questions
The product of 4 and the difference of x and 3 *
Answers
Answer:
4x -12
Step-by-step explanation:
Hope this helps!!
The answer is 4(X - 3) or 4*X - 3
Can 65536 be simplified to the 2nd power if so what is it?
Answers
Answer:
Yes; 256
Step-by-step explanation:
Take the square root of 65536
[tex]\sqrt{65536} = 256[/tex]
256 to the power of 2 = 65536
Answer:
Step-by-step explanation:
10 Jane is paid a wage of $7.80 per hour. If she works 12 hours at this rate during a week plus
4 hours on a public holiday in the week when she gets paid at time and half, her earnings in the week
are:
A $140.40
B$124.80
3
C$109.20
D $156
E $62.40
Answers
140.40$
please answer asap! Please dont get it wrong T0T
Answers
Answer:
Step-by-step explanation:
x + 165° = 180° ( being linear pair )
x = 180° - 165°
x = 15°
hope it helps :)
I need help I dont understand this
Answers
Answer:
13
Step-by-step explanation:
Jerry started doing sit-ups every day. The first day he did 17 sit-ups. Every day after that he did 4 more sit-
ups than he had done the previous day. Today Jerry did 73 sit-ups. Write an equation that could be solved
to find the number of days Jerry has been doing sit-ups, not counting the first day. Let n represent the
number of days.
An equation that can help lerry to find the number of dave hahachoon daina cancis aivor
Answers
Answer:
5
Step-by-step explanation:
y= 4x+17
73=4x+17 (subtract 17 by both sides)
20=4x (divide by both sides)
5= x, 5 days
find the slope that passes between (-3, 2) and (-6, 5)
Answers
Answer:
m= -2/3
Step-by-step explanation:
m= 4-2/-6-(-3) = -2/3
Store A sells a baseball glove for $80 and offers a 20% discount. Store B sells the same glove for $100 and offers a 40% discount. From which store should you buy?
Answers
80$. 100%
X$. 80%
X=80•80/100
X=$64
Store B
100$ 100%
X$. 60%
X=100•60/100
X=$60
You should buy from store B, it would safe you 4$.
If Alicyn makes $8 everyday for babysitting her little sister, how long will it take her to make $128?
Answers
Answer:
16 Days
Step-by-step explanation:
$8 x 1 = 8
$8 x 16 = 128
16 Days!!!!
If Alicyn makes $8 everyday for babysitting her little sister, It'll take her 16 days to make $128.
Answer:
16 days
Step-by-step explanation:
8x _ = 128
8x 16= 128
i need help with thissssss
Answers
Answer:
y=2x-14
y=x-2
The slopes are not the same
Step-by-step explanation:
L1 3y=3x-6
Divide everything by 3 to isolate the y
y=x-2
L2 5y-10x=-70
add -10x to isolate the y
5y=10x-70
Divide everything by 5 to isolate the y
y=2x-14
34 < 6 + d
Solve the inequality
Answers
Answer:
28< 6
Step-by-step explanation:
34 < 6 + d
Subtract 6 from each side
34-6 < 6 + d-6
28< 6
Answer:
28<d
Step-by-step explanation:
Since all you need to do is find d, to do this do the inverse operation of 6 which is -6 and add them to both sides which gives you 28<d
HELP I NEED HELP WITH CIRCUMFERENCE!! What is the radius of a circle with circumference of 50 cm? Round your answer to the nearest whole number. Use π = 3.14.
A. 4 cm
B. 3 cm
C. 8 cm
D. 7 cm
Answers
Answer:
8cm
Step-by-step explanation:
circumference formula[tex]2\pi \: r[/tex]
50 = 2(3.14)(r)
50 = 6.28r
7.9 = r
8 = r
The line l is tangent to the circle with equation x^2 + y^2=10 at the point P.
Determine the equation of line l.
Answers
Given:
The equation of a circle is
[tex]x^2+y^2=10[/tex]
A tangent line l to the circle touches the circle at point P(1,3).
To find:
The equation of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Endpoints of the radius are O(0,0) and P(1,3). So, the slope of radius is
[tex]m_1=\dfrac{3-0}{1-0}[/tex]
[tex]m_1=\dfrac{3}{1}[/tex]
[tex]m=3[/tex]
We know that the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.
[tex]m\times m_1=-1[/tex]
[tex]m\times 3=-1[/tex]
[tex]m=-\dfrac{1}{3}[/tex]
The slope of line l is [tex]-\dfrac{1}{3}[/tex] and it passs through the point P(1,3). So, the equation of line l is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3=-\dfrac{1}{3}(x-1)[/tex]
[tex]y-3=-\dfrac{1}{3}(x)+\dfrac{1}{3}[/tex]
Adding 3 on both sides, we get
[tex]y=-\dfrac{1}{3}x+\dfrac{1}{3}+3[/tex]
[tex]y=-\dfrac{1}{3}x+\dfrac{1+9}{3}[/tex]
[tex]y=-\dfrac{1}{3}x+\dfrac{10}{3}[/tex]
Therefore, the equation of line l is [tex]y=-\dfrac{1}{3}x+\dfrac{10}{3}[/tex].
apply the distributive property to factor out the greatest common factor
9-12x+6y
Answers
If you decompose 12 you will get 2*6,then you can decompose 6 which 2*3 so 12=2*2*3
If you decompose 6 you will get 2*3 so 6=2*3
What do all of these numbers have in common?The 3.
So 3 is the greatest common factor.Now you just put the 3 in front and then open the bracket and divide each of the number by 3.
9/3=3
-12x/3=4x
6y/3=2y
So,this will be your answer 3(3-4x+2y)
Find the value of x. Round to the nearest tenth.
Answers
Answer:
9.8
Step-by-step explanation:
12x cos(35) = 9.8
Could anyone that has taken or is currently taking math 3 go look at my profile pls? I posted a question and got a fake answer. I'll give you brainliest pls help .-_.-
Answers
Answer:
I tried
Step-by-step explanation:
Jasmine found a wooden jewelry box shaped like a right rectangular prism what is the volume of the jewelry bow
Answers
describe two sequences of transformation that map figure ABCD onto figure EFGH
Answers
Answer:
Reflection on y=1
Dilation by 2 (Enlargement)
Translation 1 to the right
Step-by-step explanation:
Im not that sure tho sorry
Answer:
Dilate ABCD by a scale factor of 2. Then reflect the image.
Step-by-step explanation:
jesse bought 2 sheets of stamps. on each sheet there are 5 rows of stamps with 6 stamps in each row. how much did he buy.
Answers
Answer:
he bought 60 stamps
Step-by-step explanation:
6*5=30
30*2=60
What is 20% of 50 and what would 10% equal
Answers
Answer:
20/100 x 50 is 10
10% would be 10/100 is fraction form
I want to help you on the first thing you said,
so always consider a percent as a fraction but there denominator is ALWAYS 100 (a way to remember that is that the word "cent" means 100). The word "of" means multiplication so that means your multiplying it with 50 and just do the multiplication.
I'm really hoping you understand!
Multiplying by which number is equivalent to an increase 49.5%
Answers
Answer:
22.46
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
49.5% = 49.5/100 = 49.5 ÷ 100 = 0.495.
100% = 100/100 = 100 ÷ 100 = 1.
Increase the number by 49.5% of its value.
Percentage increase = 49.5% × 22.46
New value = 22.46 + Percentage increase
Hiiioo can you help me please?❤️:D
For a regular polygon with 3 sides, each interior angle has a measure of-
A. 60
B.45
C.30
D.120
Answers
60
The sum of the interior angles of a triangle is 180
if there are 3 sides then there are 3 angles
180/3=60 so each interior angle has a measure of 60
Please answer my most recent question.
Please help asap 20 points
Answers
Answer:
5.3
Step-by-step explanation:
(4x_2.6). 21.2x+= Mc²
21.2x + c = 21.2x - 13.78
c = -13.78
Jessica Jones $425 per week working at a hair salon the weekly expenses are $93.50. What percentage of weekly income goes to paying her weekly expenses
Answers
Answer:
22%
Step-by-step explanation:
22% of 425 is 93.5
This means that 22% of her weekly income goes to paying her weekly expenses.
Hope this helped!!
Please leave a thanks and a rating!
If this helped you please consider giving brainliest!!
please tell me the answer and how to get it.
Answers
Answer:
Unique Triangle
You can think of it visually.
How to get it: The triangle sum theorem, which only allows for unique triangles (depending on the question), can be applied here.
9-3X+1/3-2+10- -3/2=
Answers
Answer:
9-3x+1/3-2+10+3/2
17-3x+11/6
113/6-3x
Step-by-step explanation:
You find that the average number of pets owned by students is 3.4, with a standard deviation of 1.2 If the distribution was not normally distributed, how many animals do 75% of students own?
Answers
Answer:
Step-by-step explanation:
12
Given that
R
=
3
x
+
2
y
Find
x
when
y
=
7
and
R
=
8
x
=
Answers
Answer:
x=-2
Step-by-step explanation:
R=3x+2y
y=7, R=8
x=?
Substitute R and y with the values given
8=3x+2(7)
8=3x+14
Combine like terms
8-14=3x
-6=3x
x=-2
In the diagram, the length of Line segment Y Z is twice the length of Line segment A Z. Triangle X Y Z is shown. Angle X Y Z is a right angle. An altitude is drawn from point Y to point A on size Z X to form a right angle. Line segment Y A is an altitude of ΔXYZ. What is the length of Line segment Y A? 5 StartRoot 3 EndRoot units 10 StartRoot 3 EndRoot units 15 units 20 units
Answers
Answer:
A 5 StartRoot 3 EndRoot units
Step-by-step explanation:
Answer:
5√3 units
Step-by-step explanation:
edgeee
Which ordered pair describes a point that is located 1 unit to the left of the origin and 3 units above the x-axis?
Answers
Answer:
Cartesian plane
Step-by-step explanation:
(–1 , 3)
Answer:
-1 3
Step-by-step explanation: