Answers
Answer: 3) [tex]\frac{x+3}{x}[/tex]
Step-by-step explanation:
Start by factoring the numerator by grouping
[tex]\frac{x^3+2x^2-9x-18}{x^3-x^2-6x} \\\frac{(x^3+2x^2)+(-9x-18)}{x^3-x^2-6x} \\\frac{x^2(x+2)-9(x+2)}{x^3-x^2-6x} \\\frac{(x^2-9)(x+2)}{x^3-x^2-6x} \\\frac{(x-3)(x+3)(x+2)}{x^3-x^2-6x}[/tex]
Now factor the denominator
[tex]\\\frac{(x-3)(x+3)(x+2)}{x^3-x^2-6x}\\ \\\frac{(x-3)(x+3)(x+2)}{x(x^2-x-6)}\\[/tex]
Factor the trinomials by finding two numbers that add to get -1 and multiply to get -6. In this case the numbers are -3 and 2
[tex]\\\frac{(x-3)(x+3)(x+2)}{x(x^2-x-6)}\\\\\\\frac{(x-3)(x+3)(x+2)}{x(x-3)(x+2)}\\[/tex]
Cancel out the terms that are both in the numerator and denominator. In this case they are (x-3) and (x+2)
[tex]\\\frac{(x-3)(x+3)(x+2)}{x(x-3)(x+2)}\\\\\\\frac{(x+3)}{x}\\[/tex]
Related Questions
Find the value of the expression. Show your work. 15×x if x=5
Answers
Answer:
75
Step-by-step explanation:
if x = 5 then 15 × x = 15 × 5.
15 × 5 is 75
Point H is the circumcenter of triangle JKL.
Which must be true?
O FH ≈ DH
O JF ≈ JD
O JH ≈ LH
O KF ≈ LD
Answers
If H is the circumcenter of triangle JKL then true statement is JH ≈ LH.
What is Property of Circumcenter?The circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the triangle's sides. It is the center of the circumcircle, which is the circle passing through all three vertices of the triangle.
The circumcenter is equidistant from the three vertices of the triangle.
This means that the distance from the circumcenter to each vertex is the same.
i.e., the distance of point H is equal from J, K and L.
Then, the length of each of is equal which is
JH = KH = LH
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what is -2(-6+-y) in expanded form
p.s. I'm only a 7th grader so this is 7th grade math
Answers
Answer:
2 mutiplyed by (y + 6)
Step-by-step explanation:
Pull out like factors :
-6 - y = -1 • (y + 6)
at the end:
0 - -2 • (y + 6)
Final result :
2 • (y + 6) !
a model of a skyscraper is 6 inches tall if the model is scale 1 inch : 200 feet, the skyscraper is ___ feet tall
Answers
Answer:
1200 feet
Step-by-step explanation:
6 inches times 200 feet = 1200 feet tall
Answer:1200
Step-by-step explanation:
oh no :c, i ment to put the first answer as a 5/5 but he is correct for me!
How many solutions exist for the given equation? 12x 1 = 3(4x 1) – 2 zero one two infinitely many
Answers
An equation is formed of two equal expressions. The given equation 12x+1=3(4x+1)-2 has infinite numbers of solutions.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find the solution to the equation we need to solve the given equatiopn. Therefore, the equation can be written as,
[tex]12x+1=3(4x+1)-2\\12x+1=12x+3-2\\12x+1=12x+1[/tex]
As we can see that both sides of the equation are similar to each other, therefore, for any value of x the equation will be satisfied.
Thus, the given equation 12x+1=3(4x+1)-2 has infinite numbers of solutions.
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If 5 people receive 8 brownies, what is the fraction form of how many brownies each person will equally receive
Answers
Hi! I was wondering if i got the right answer for this question?
I got 3301.2
Answers
answer:
i also got what u got 3301.2
What are the zeros of the quadratic function f(x) = 6x2 – 24x 1?
Answers
The zeros or roots of the quadratic function f(x) = 6x² – 24x +1 were found with the help of the formula.
The given quadratic equation is:
[tex]6x^{2} -24x+1=0[/tex]
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] where a≠0 is called a quadratic equation.
We know the solution of a quadratic equation [tex]ax^{2} +bx+c=0[/tex] is given by:
[tex]x=\frac{-b +\sqrt{b^{2}-4ac } }{2a}[/tex]
[tex]x=\frac{-b -\sqrt{b^{2}-4ac } }{2a}[/tex]
So, the solution of the quadratic equation [tex]6x^{2} -24x+1=0[/tex] will be:
[tex]x=\frac{-(-24) +\sqrt{(-24)^{2}-4(6)(1) } }{2*6}[/tex]
[tex]x=\frac{12+\sqrt{138} }{6}[/tex]
[tex]x=\frac{12-\sqrt{138} }{6}[/tex]
Thus, the zeros or roots of the quadratic function f(x) = 6x² – 24x +1 were found with the help of the formula.
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Answer:
its the fourth one on edge D
Step-by-step explanation:
x=2+23/6 or x=2-23/6
What criteria can you use to show these two triangles are congruent?
choice:
SSA
AAS
HL
SAS
Answers
Answer:
SAS
Step-by-step explanation:
You can use SAS (Side Angle Side) as they are in the correct order to use the Therom in order to prove they are equal.
9.4. During the course of a normal workday, Sandra and Bob interact with each other more than they do with anyone else. Bob works more closely with Gloria than he does with Joe. Sandra does not work much with Joe but she does work somewhat more with Gloria. If the offices of these individuals were arranged in a linear fashion, one following the other and Sandra's office was first, in what order should they be arranged for maximum communication efficiency?
(1 Point) A. Sandra-Bob-Joe-Gloria B.Sandra-Gloria-Bob-Joe C. Sandra-Gloria-Joe-Bob D.Sandra-Bob-Gloria-loe
10. Reason (2 points)
Answers
The ordering that will be important to illustrate maximum communication efficiency is D. Sandra-Bob-Gloria-loe.
What is communication?It should be noted that communication simply means the passing of information from the sender to the receiver.
In this case, ordering that will be important to illustrate maximum communication efficiency is Sandra-Bob-Gloria-loe. This is because Sandra communicates more with Bob than anyone else.
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Look at △ABC and △DEF on this coordinate grid.
Which transformation shows that △ABC and △DEF are similar?
A
a dilation of △ABC with a scale factor of 2
B
a translation of △ABC 1 unit up and 3 units to the right
C
a dilation of △ABC with a scale factor of 12
D
a translation of △ABC 3 units up and 3 units to the right
Answers
Answer:
Step-by-step explanation:
I will love to help but the answer sorry... :(
Factor 6x4 – 5x2 12x2 – 10 by grouping. what is the resulting expression? (6x 5)(x2 – 2) (6x – 5)(x2 2) (6x2 5)(x2 – 2) (6x2 – 5)(x2 2)
Answers
The factored form of the expression is (x^2+2)(6x^2-5).
We have given the expression 6x^4 – 5x^2 + 12x^2 – 10
What is the factor of a polynomial?A factor of polynomial P(x) is any polynomial that divides evenly into P(x)
Factoring by grouping
Given the expression 6x^4 – 5x^2 + 12x^2 – 10
Group the terms to have
(6x^4 – 5x^2) + (12x^2 – 10)
Factor out the common values
x^2(6x^2-5)+2(6x^2 - 5)
(x^2+2)(6x^2-5)
Therefore the factored form of the expression is
(x^2+2)(6x^2-5).
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Which of the following equations are true when you replace the unknown with the number 9?
Check all that are true.
? × 4 = 36
? ÷ 9 = 1
35 ÷ ? = 4
6 × ? = 46
27 ÷ 3 = ?
Answers
Answer:
it should be A D and C that should be it
Classify the triangle.
Answers
Answer:
This looks like an acute triangle
Step-by-step explanation:
This looks like an actue triangle because all of the sides look less than 90 degrees
Also you can use prossess of elemination:
It is not a right triangle because it does not have a 90 degree angle
it is not a obtude triangle because the angles do not look grather than 90 drgress
and this is not an equlateral triangle because the angles and not all the same.
So this leave acute triangle
Which is the graph of the linear inequality 2x – 3y < 12?Which is the graph of the linear inequality 2x – 3y < 12?
Answers
Answer:
(Check out the attachment)
Step-by-step explanation:
Your graph should look like this with the x-intercept = 6 and y-intercept = -4. Don't forget the dotted lines!
Good luck! :)
Answer:
to clarify its c :)
Step-by-step explanation:
5. In a fruit basket if there are 2 dozen bananas out of which 5 are
rotten, find the percentage of bananas which are in good
condition?
Answers
Is 2/3 < 5/8? Help me with this
Answers
Answer:
No its 2/3 > 5/8
Step-by-step explanation:
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as:
2/3 = 0.667
5/8 = 0.625
Then, we compare the two decimal numbers to get the answer.
0.667 is greater than 0.625. So 2/3 > 5/8
Answer:
No, 2/3 is bigger than 5/8
Step-by-step explanation:
If you convert 2/3 into a deciamal it is 0.666
and if you convert 5/8 into a decimal it is 0.625
therefore 2/3 is the bigger fraction and the statement is not correct.
Hope this helps!!!!
no pdf please or a image or link
Answers
Notebooks cost $9, and package of dividers cost $1.50 per package. Which of the following could be used to determine c , the total cost of one notebook and n packages of dividers?
Answers
Answer:
c = 9 + 1.50
c = 10.50
Step-by-step explanation:
What is the surface area of 20cm 7cm 6cm
Answers
Answer:
840
Step-by-step explanation:
20 x 7 = 140
140 x 6 = 840
A crate weighing 500 pounds was delivered to the gym & set on the floor. To
move it, we need to get a set of dolly wheels under the edge. If we use a 15 foot
pry bar to lift the edge and place a 12 high fulcrum back 2 feet from the box,
how much downward force will need to be applied to the bar to raise the crate?
Answers
The downward force that will be needed to be applied to the bar to raise the crate is 389.65N.
How to calculate the force?From the information given, we'll first need to find the length of BC. This will be:
BC = 15 - (✓2 + ✓1)
BC = 15 - ✓5
The weight of the box will be:
= mg = 500 × 32.174 = 16087.05ft/s²
The force will then be:
= (16087.05 × ✓5)/(15 - ✓5)
= 389.65N
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What is the mode of this data set?
{2, 2, 3, 3, 4, 4, 4, 4}
Enter your answer in the box
Answers
hope this helps!
Can someone please give me the answer to this?
Answers
Do you think using a dot plot would be a good way to organize and analyze the data
in the Summer Olympics table?
Answers
Answer:
2:1
Step-by-step explanation:
The U.S. has twice as many gold medals as the Russian Federation. hope it helps :)
Which solid can hold more: a cylinder with a diameter and height of 6 inches or a square prism with side lengths of 6 inches?
Answers
Answer:
If two solids have the same height h and the same.cross-sectional area B at.every level then they have the same volume.So the volume of a right prism and.an oblique one of the same height and cross sectional area are same.
Step-by-step explanation:
hope this helps if not please let me now
Which expression is equivalent to (x2 +3x +5) (2x + 4)?
Answers
Answer:
Step-by-step explanation:
A school locker has a length of 1 ft a width of 18 in and a height of 2 and a half ft. What is the volume in cubic feet
Answers
Answer:
6,480
Step-by-step explanation:
1 ft = 12 in.
1 x 12
12
2.5 x 12
30
12 x 30
360 x 18
6,480
Find the value of z.
Answers
Answer:
z=6 sqrt 2
Step-by-step explanation:
Find y, by using the pythagrean theorem, 9=1+0, y= 2sqrt 2. Then plug y in to find z. 2srt ^2+8^2=z^2, 8+64=72=6sqrt2
HELP ASAP....PLS NO LINKS AND NO JOKING
on a computer assembly line, the company's goal is to have no more than 2% errors there are 220 computers assembled each day. the inequality representing the relationship between the number of computers assembled and errors (e) is shown below
e220 <0.02
how many computers out of 220 can have errors and stay within the company's of no more than 2% errors
A. e<=2
B. e<=4
C. e<4
D. e<2
Answers
Hi maryanne!
Answer:
C. e<4
Step-by-step explanation:
Since [tex]\frac{e}{220} \leq 0.02[/tex]
e [tex]\leq[/tex] 0.02 x 220
e [tex]\leq[/tex] 4.4 (multiply 220 both sides)
e [tex]\leq[/tex] 4.4
Thefore it can be e [tex]\leq[/tex] 4
Help me please. How to prove this ?
[tex] \frac{ \cos(x) + \sin(x) }{ \cos(x ) - \sin(x) } = \tan(45 + x) [/tex]
Answers
Answer:
First, you want to divide the numerator and denominator by the cosine(x), and afterwards, it looks like this...[tex]\frac{tan~x+1}{tan~x-1}[/tex]
Include 45 as one of the parameters and correlate with tan.[tex]\frac{tan~x+tan~45}{tan~x-tan~45}[/tex]
Next, you want to multiply the numerator and denominator by the conjugate of the denominator, in this case, tan x + tan 45.Lastly, simplify, and you have the answer as tan(45 + x)