Answers
Steps to solve:
[tex]\frac{3x}{x^2+5x-14} -\frac{6}{x^2+5x-14}[/tex]
~Apply rule [ a/c ± b/c = a±b/c ]
[tex]\frac{3x-6}{x^2+5x-14}[/tex]
~Factor out [ 3 ]
[tex]\frac{3(x-2)}{x^2+5x-14}[/tex]
~Factor out [ x^2 + 5x - 14 ]
[tex]\frac{3(x-2)}{(x-2)(x+7)}[/tex]
~Cancel common factor [ x - 2 ]
[tex]\frac{3}{x+7}[/tex]
The answers are Options 1, 2, and 3
Best of Luck!
Related Questions
Nyah receives a chain letter and has to copy the letter and send it to 4 of her friends,
have to copy the letter and send it to 4 other friends, and so on.
Finding the number of letters sent on the nth mailing is an example of
a geometric sequence
COMPLETE
If everyone who receives a letter participates, how many letters will be sent on the si
54 X = 4,096
COMPLETE
By the sixth mailing, how many people will have participated since the start?
DONE
I need the last part
Answers
Answer:
1. Geometric sequence
2. 4,096
3. 5,460
Step-by-step explanation:
Part 1
Since the number of letters sent is multiplied by 4 for any subsequent term, the sequence is an example of a geometric sequence as it grows exponentially.
Part 2
Given a geometric sequence, the nth term is determined using the formula:
[tex]T_n=ar^{n-1},$ where r=common ratio, a=first term, n=number of terms[/tex]
In this case,
a=1 (i.e. Nyah)
r=4
Since we want to determine how many letters will be sent on the sixth mailing(i.e after Nyah), n=7
Substituting
[tex]T_6=1*4^{7-1}\\=4^6\\=4096[/tex]
Part 3
To determine how many people would have participated by the sixth mailing, we are required to find the sum of the first seven terms of the geometric sequence.
We use the sum of a geometric sequence formula
[tex]S_n=\dfrac{a(r^n-1)}{r-1} \\S_7=\dfrac{1(4^7-1)}{4-1} \\=\dfrac{16383}{3}\\\\=5461[/tex]
Therefore, excluding Nyah, 5460 people would have participated by the sixth mailing.
Answer:
1. Geometric sequence
2. 4,096
3. 5,460
Step-by-step explanation:
What is the solution to the equation below? Round your answer to two
decimal places
e^x = 5.9
Answers
Answer:.1.77
Step-by-step explanation:
e^x = 5.9
Take the natural logarithm of both sides
x = ln (59/10)
x = 1.77
Answer: x=1.77
Step-by-step explanation:
A P E X
Find the missing number.
n − 9.01 = 3.86
n = ?
Answers
12.87
Answer & Step-by-step explanation:
n - 9.01 = 3.86
Add 9.01 to both sides of the equation.
n = 12.87
So, the value of n is 12.87
Find the are. Will mark brainliest.
Answers
Answer:
4.44
Step-by-step explanation:
To find the area of a triangle, multiply the base by the height, and then divide by 2.2.4 x 3.7 = 8.88next i divide by 28.88 / 2 = 4.44so my answer is 4.44Hope this helpsask questions if it is wrongBrainliest plzA triangle has sides with lengths of 8 millimeters, 11 millimeters, and 12 millimeters. Is it a right triangle?
Answers
Answer:
only if it has a nighty degree angle and two equal legths so no
Step-by-step explanation:
What is the radius of J. A. 24.8
B. 6.2
C. 10.8
D. 12.4
Answers
Answer:
12.4 units
Step-by-step explanation:
The diameter of circle J is represented by KN. Half of KN is KJ and JN which means these represent the radius. Since JN equals 12.4 and JN is the the radius, then the radius of circle J is 12.4 units which is answer choice D.
The radius of the given circle is 6.2 unit. So option B is correct.
What is the radius?A line segment from a circle's or sphere's center to its perimeter or boundary is known as the radius in geometry. It is a crucial component of spheres and circles and is frequently abbreviated as "r". When discussing multiple radiuses at once, the plural form of radius is "radii". The diameter of a circle or sphere is the longest line segment connecting all points on the opposite side of the centre, and the radius is equal to half of the diameter in length. It can be written as d/2, where d is the circle's or sphere's diameter. Look at the illustration of a circle below that depicts the connection between radius and diameter.
Given that,
A circle,
which contains diameter KN of length 12.4 unit
and chord 10.8 unit.
The radius = ?
It is known that, the length of the radius is half of the diameter of the circle,
R = D/2
= 12.4/2
= 6.2
Therefore, the length of the radius is 6.2 unit.
To know more about radius check:
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(x+4)−(x−1)
HELPPPP
5edrfytguyhidiftougyih;fygvjbmncifyykgvjb mnr6o7ftuglh.bjnhugiyfltudkrysi6d7tfugiy;h/junk;lk
Answers
Answer:
There is no plug-in for x.
X=0.
(0+4) - (0-1) = [(4 - (-1)] = 5.
Answer:
5
Step-by-step explanation:
(x+4) -x +1
x - x = 0
5
A 50 gallon water tank is to be used for irrigating a garden. If it is full, and water is used from it at a constant rate of 2 gallons per hour, which relationship best models this reduction in volume over time?
brainlist will be given
Choices:
2−50x
2-50x
2x-50
50-2x
Answers
Answer:
D: 50-2x
Step-by-step explanation:
based on pemdas, 2x would be solved first, lets say x is 10, it would be 50-20, which would be taking away from the 50 gallon tank
The marine green turtle has been known to swim 480 km (300 miles) in 10 days." How far, in kilometers, could a marine green turtle swim in 18 days?
Answers
Answer:
864
Step-by-step explanation:
You need to divide 480 by 10. Then multiply the answer which is 48 miles per day. Then take the 48 times 8 for the next 8 days. Then add the answer of that which is 384 and add it to 480.
Hope this helps.
Can someone help me and show how to write the perimeter equation to this polygon.
50 points
Find x for full 70 points
Answers
10x + 8 = 21
x = 1.3
Step-by-step explanation:
a)
In pentagon ABCDE,
AB = DE = 2x + 3 and BC = CD = x + 1
Perimeter of pentagon ABCDE = 21
4x + 2(2x + 3) + 2(x + 1) = 21
4x + 4x + 6 + 2x + 2 = 21
[tex] \purple {\boxed {\bold{10x + 8 = 21}}} [/tex]
b)
10x = 21 - 8
10x = 13
[tex]x = \frac{13}{10} \\ x = 1.3 \: cm [/tex]
STEP BY STEP EXPLANATION BOIZ:
A) AB + BC × 2 + AE = 21
B) The value of x is 1.3
PLZ HELP I’M TIMED!! I’LL GIVE BRAINLIEST- FIND THE VALUE OF Y
Answers
Answer:
131
Step-by-step explanation:
25+24=49
180-49=131
Which figure has an orthocenter outside the triangle? A triangle has angle measures of 30, 75, and 75 degrees. A triangle has angle measures of 54, 56, and 74 degrees. A triangle has angle measures of 45, 110, and 25 degrees. A triangle has angle measures of 90, 48, and 42 degrees. plzzzz help
Answers
Answer:
A triangle has angle measures of 45, 110, and 25 degrees would has an orthocenter outside the triangle.
Hope this helps!
:)
Answer:
The Third option is correct.
Step-by-step explanation: just got it right on edge
5π 77π
18. 18
Are they coterminal
Answers
Answer:
yes
Step-by-step explanation:
There are 345 fifth graders enrolled at Wilson Middle School and 15 fifth-grade classrooms. How many students are in each class if each class has the soame number of students?
Answers
Answer:23
Step-by-step explanation:
Literally just division
Answer:
23
Step-by-step explanation:
345\15=23
List the sides in ΔEFG in order from smallest to largest. Picture includes possible solutions
Answers
The list of sides in triangle EFG in order from smallest to largest is option A) EF, EG and FG.
What is Triangle?A triangle is a polygon in two dimension which has three vertices, three edges and three angles.
There are different kinds of triangles like equilateral triangle, isosceles triangle and so on.
Given triangle EFG and the angles of the triangle is also given.
The largest side of a triangle is the side which has the largest opposite angle.
Or in other words, the side opposite to the larger angle will be having larger length.
Here the largest angle is 63°. So the side opposite to this angle which is side FG is having largest length.
Then comes the angle 62°. The side opposite to this is EG which is the side standing next to FG.
The smallest angle is 55° and the side opposite to it which is EF is having smallest side length.
So the order from smallest to largest is EF, EG, FG.
Hence the sides in order from smallest to largest is EF, EG, FG.
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Angle CCC is inscribed in circle OOO. \overline{AB} AB start overline, A, B, end overline is a diameter of circle OOO. What is the radius of circle OOO?
Answers
Answer:
The answer is 5
Step-by-step explanation:
6 to the 2nd power plus 8 to the 2nd power
equals 100 and 100 divided by 2 is 10 half of 10 is 5.
Answer:
6.5
Step-by-step explanation:
khan academy
The triangles are congruent by the SSS congruence
theorem.
Which transformation(s) can map ALMN onto
AL'M'N'?
M
translation only
O reflection only
L'
O rotation then translation
M
O reflection then translation
N'
N
Answers
Answer: rotation then translation
Step-by-step explanation:
The transformation(s) can map triangle LMN onto triangle L'M'N' are (c) rotation then translation
The SSS congruence theorem means that the triangles LMN and L'M'N' are congruent by sides and the angles are also congruent.
So, the triangles can be transformed by
TranslationReflectionRotationFrom the complete question, the triangles and rotated and translated
Hence, the transformation(s) can map triangle LMN onto triangle L'M'N' are (c) rotation then translation
Read more about transformation at:
https://brainly.com/question/4289712
find the surface area of the square pyramid
Answers
Hope this helped!!!
Solve 1/2n +3 < 5.
Which graph shows the solutions?
I WILL GIVE BRAINLY
Answers
Answer:
Third one
Step-by-step explanation:
½n + 3 < 5
½n < 2
n < 4
Open circle at 4 because 4 in not included, arrow pointing towards left because it is less than 4
The option c is solution of given equation
What is graph?the collection of all points whose coordinates satisfy a given relation (such as a function)
According to the question,
½n + 3 < 5
½n < 2
n < 4
Open circle at 4 because 4 in not included, arrow pointing towards left because it is less than 4
Hence, option c is correct
To learn more related to this topic from here
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i need help!!!
y=6x
y=42
simplify the answer as much as possible
Answers
Explanation: because 6x7=42 and 42 is y
1. Set both of the equations equal to each other to find x.
2. 6x=42
3. Divide both sides by 6.
4. X=7
5. Now let’s find y
6. y=42
7. Check your work:
Plug in the value of x into this equation. y=6x
We know that x=7, so y=6(7)= 42
This means that x=7 and y=42
I hope this helps you!!!!
−8⋅f(0)+4⋅g(−8)=
Please help
Answers
Answer:
-32
Step-by-step explanation:
Look at the attachment
Functions can be represented as equations and graphs.
The value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32
From the graph, we have the following values.
[tex]\mathbf{f(0)= 1}[/tex]
[tex]\mathbf{g(-8)= -6}[/tex]
So, we have:
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 \times 1 + 4 \times -6}[/tex]
Simplify
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 -24 }[/tex]
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -32 }[/tex]
Hence, the value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32
Read more about functions and equations at:
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A customer states that she was shorted in change by receiving only 23 cents change from $3.00
dollars instead of 32 cents. How would you handle this?
Answers
Answer:
First, I would check and see if she was correct. If she wasnt, I would simply show her why she was incorrect. If I was to accidently short her, I would give her the money and move on with my day. if she refused to leave after showing her that I gave her the correct amount of money, she would probably call for the manager. I'd get the manager, explain what happened, and the annoying customer would most likely get kicked out of the store.
(P.S: sorry if it was a little confusing lol)
In an orchard, there are 15 apple trees, 30 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees
Answers
Answer:
15:1
Step-by-step explanation:
I need help with the puzzle plsssss it’s due Wednesday!
Answers
Answer:
f=f g=g e=e
Step-by-step explanation:
y=6x+15 what is y, when x=5
Answers
Answer:
Answer:45
6 x 5+15=45
Step-by-step explanation:
Hope this helped!
Answer:
Look at explanation
Step-by-step explanation:
First, plug in x=5 into the equation y=6x+15 for x.
[tex]y=6(5)+15[/tex]
Solve.
[tex]y=6(5)+15\\=30+15\\=45\\y=45[/tex]
Which of the following complete the proof above?
Answers
Answer:
(A)
Step-by-step explanation:
To be honest, since all of them are different, as long as you get the first one right, you will get the others right. A is your answer, for the following reasons:
Reflexive Property: The Reflexive property states that the mirrored version of itself will always be congruent with itself. Generally, to make it easier, they will write it opposite (as they did in the given proof):
line AC ≅ line CA
~
Answer:
A
Step-by-step explanation:
AC and CA represent the same segment, therefore have the same length and hence are congruent
Last step should be CPCTC because that's what is to be proven
What is the value of x?
ASAP
Answers
Explanation: so what you do is do 45 divided by 37 and you’ll get 1.66667 and so on. Then you do 1.66667 • 18 and you get 30.
1.
Which equation in point-slope form contains the point (-2, -6) and has slope -4?
y - 2 = -4(X-6)
y + 2 = -4(x + 6)
.
y + 6 = -4(x + 2)
y-6 = -4(x - 2)
Answers
Answer:
Step-by-step explanation:
y + 6 = -4(x + 2) is the point-slope form
y + 6 = -4x - 8
y = -4x - 14
can somebody help me please??:)
Answers
Answer:
9/16
Step-by-step explanation:
What percent is modeled by the grid?
A grid model with 100 squares. 33 squares are shaded.
23%
30%
33%
40%
Answers
Answer:
33%
Step-by-step explanation:
There are 33 squares out of 100 that are shaded
33/100
Percent means out of 100
33%
Answer: 33%
Explanation: A ratio that compares a number to 100 can be written as a percent. So in this problem, since the figure has 33 out of 100 boxes shaded, we have the ratio 33/100 which can be written as 33%.
