Find all values of $x$ such that
\[\frac{2x}{x + 2} = -\frac{6}{x + 4}.\]
Answers
Answer:x_1= -1 or x_2= -6
Step-by-step explanation:
In the pictures
![Find All Values Of $x$ Such That\[\frac{2x}{x + 2} = -\frac{6}{x + 4}.\]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/mwPHIJOQBust6PV4v0Uj0PNnOgBQoaCT.jpeg)
By using factorization, [tex]\[\dfrac{2x}{x + 2} = -\dfrac{6}{x + 4}.\][/tex] , values of x are -2, 3.
What is factorization?Factorization can be defined as the process of breaking down a number into smaller numbers which when multiplied together arrive at the original number.
These numbers are broken down into factors or divisors.
For an integer, factorization is decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number and these composing integers are called factors of that considered integers.
Given
[tex]\[\dfrac{2x}{x + 2} = -\dfrac{6}{x + 4}.\][/tex]
Cross multiplication;
2x(x + 4) = 6(x + 2)
[tex]2x^{2} + 8x = 6x + 12\\\\2x^{2} + 8x - 6x - 12 = 0\\\\2x^{2} + 2x - 12 = 0\\\\x^{2} + x - 6 = 0[/tex]
Divide above equation by 2, we get
[tex]x^{2} + x - 6 = 0[/tex]
(x +2) (x-3)
x = -2, 3
Therefore, By using factorization, [tex]\[\dfrac{2x}{x + 2} = -\dfrac{6}{x + 4}.\][/tex] , values of x are -2, 3.
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Related Questions
In a three-person tug-of-war, three ropes are tied at a point. Gary is pulling due East with a force of 650 Newtons, June is pulling due North with a force of 450 Newtons, and Levi is pulling the third rope. The knot in the middle is not moving. What is the magnitude of Levi's effort?
A) 34.7 Newtons
B) 55.3 Newtons
C) 550 Newtons
D) 790.6 Newtons
Answers
Answer:
Its D) 790.6
Step-by-step explanation:
All I can say is that I aced the test so.
The answer to the question what is the magnitude of Levi's effort is D 790.6 N
Since Gary is pulling due East with a force of 650 Newtons, June is pulling due North with a force of 450 Newtons, the force due to Levi will be equal to the resultant force from Gary and June.
Since both Gary and June pull due East and due North respectively and these directions are perpendicular to each other, their resultant force is
R = √[(650 N)² + (450 N)²]
R = √[422500 N² + 202500 N²]
R = √[625000 N²]
R = 790.57 N
R ≅ 790.6 N
Since the resultant force due to Gary and June is 790.6 N, this is equal to the magnitude of Levi's effort since the knot does not move.
So, the magnitude of Levi's effort is 790.6 N
So, the answer to the question what is the magnitude of Levi's effort is D 790.6 N
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Find the coordinates of the midpoint M of ST s(-2,4) t(3,9)
Answers
Answer:
M= 3.535
Step-by-step explanation:
Look at the line t then divide by 2
Use the substitution method
y=6x+2 and y=3x+11
Solve for x and y
please put in ordered pair
Answers
Answer:
222222
Step-by-step explanation:
9 + x + 1 + 2x
Can someone help me out with this :)
Answers
3x + 10
Step-by-step explanation:
9 + x + 1 + 2x
Combine like terms
2x + x = 3x
Combine like terms
9 + 1 = 10
We’re left with 3x + 10
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{9 + x + 1 + 2x}[/tex]
[tex]\huge\text{= 9 + 1x + 1 + 2x}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\huge\text{= (9 + 1) + (1x + 2x)}[/tex]
[tex]\huge\text{= 10 + 3x or 3x + 10}[/tex]
[tex]\huge\text{Answer: \textsf{3x + 10}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The ratio of oranges to apples in a basket is 3:4. If 6 oranges were taken from the basket and 6 apples were added to the basket, the ratio of the number of oranges to apples would be 1:6. How many more apples than oranges are there in the original basket?
Answers
Answer:
There was 9 oranges and 12 apples in the original basket
Step-by-step explanation:
3:4
9:12
subract 6 oranges and add 6 apples
3:18
divide by 6
1:6
Please help will give brainliest
Answers
Answer:
The mean means there are as many points below as above the mean point. Adding pairs of points to the left and right of the mean does not change the mean since the count on the left and right change at the same rate.
Step-by-step explanation:
Indicate the answer choice that best completes the statem
Write each equa ton in standard form. Identify A, B, and c
y=3/8x+5
Answers
Answer:
y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina
Step-by-step explanation:
ALGEBRA 2:
Justify the equation by stating one of the properties of real numbers.
x + (37 + (-37)) = x + 0
Answers
Answer:
The property is the neutral element, in this case, it's the 0
The equation is justified using the additive inverse property of real numbers. The equation [tex]\(x + (37 + (-37)) = x + 0\)[/tex] is justified by the additive inverse property of real numbers.
According to the additive inverse property, for any real number a, there exists another real number -a such that their sum is equal to zero:
[tex]\(a + (-a) = 0\)[/tex]
In the given equation, 37 and -37 are additive inverses of each other, meaning [tex]\(37 + (-37) = 0\).[/tex] Therefore, the equation simplifies to:
[tex]\(x + (37 + (-37)) = x + 0\)\(x + 0 = x\)[/tex]
So, the equation is justified using the additive inverse property of real numbers.
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Are the following proportional? Explain or show
your reasoning
3/5 and 18/25
Answers
Answer:
No, they are not proportional. 3/5 with equal out to 15/25 by using the method of Least Common Denominator!
Step-by-step explanation:
Hope this helps :)
Find an equation of the line that passes through the given point and has the indicated slope m. Point Slope (- 5, - 7); m = 1/3
Answers
Answer:
y + 7 = 1/3 (x + 5)
Step-by-step explanation:
The format for writing a point-slope equation is: y - y1 = m(x - x1).
Step-by-step explanation:
[tex]y - y1 = m(x - x1)[/tex]
where, m = 1/3, x1 = -5 and y1 = -7
[tex]y -( - 7) = \frac{1}{3} (x - ( - 5))[/tex]
[tex]y + 7 = \frac{1}{3} (x + 5)[/tex]
[tex]y = \frac{1}{3} x + \frac{5}{3} + 7[/tex]
[tex]y = \frac{1}{3} x + \frac{26}{3} [/tex]
[tex]y = \frac{1}{3} (x + 26)[/tex]
hey please help where it has the < thing it says “ones” “tens” “nines”
Answers
Answer:
[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ thank \: you [/tex]
b. 4a’(a? – b?) and 9a’(a? – bº) LCM of this expression
Answers
Answer:
Answer:
Step-by-step explanation:
1st expression:4a(a-b)
2nd expression:9a(a-b)
So L.C.M=a(a-b)4×9
=36a^2-36ab
The cube of a whole number is 48 more
than the square of the same number.
What is the number?
Answers
Answer:
x = 4
Step-by-step explanation:
Let the number = x
x^3 = x^2 + 48
x^3 - x^2 - 48 = 0
The answer is 4, but I have no method of doing this rigorously. I can just show that it is true.
x^3 = 4^3 = 64
x^2 = 4^2 = 16
64 - 48 = 16
What is the answer to this question
Answers
Answer:
3/14
Step-by-step explanation:
5/7 = 10/14
1 - 10/14 - 1/14 = 1 - 11/14 = 3/14
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which number is a not a solution to the inequality m-8<2
Answers
9. Tobias ran 3 miles. How many millimeters did he run? (1 mile = 1,610 meters)
Answers
Welcome to Brainly! I'm happy to help!
We see that there are 1,610 meters in a mile. However, we are looking for millimeters, not meters. But, knowing the meters will help us out.
A millimeter is a very small measurement. There are 1,000 millimeters in 1 meter. A meter is much larger. So, if we want to convert 1,610 meters to millimeters, there are going to be way more millimeters because they are so minute.
This means that we will have to multiply. We know that there are 1,000 millimeters in 1 meter, so if we multiply our meters by 1,000 (which is basically just adding 3 zeros), we will get the number of millimeters in one mile!
1,610×1,000=1,610,000 (one million six hundred and ten thousand!)
Don't forget that we are looking for 3 miles though, so we can take the number of millimeters in one mile and multiply by three.
1,610,000×3=4,830,000 (four million eight hundred and thirty thousand!)
So, Tobias ran 4,830,000 millimeters!
Have a wonderful day and keep on learning! :D
Perform the indicated operations on the following decimals?
22.) 3005+4.308+2.47=
23.) 8.17-3.05=
24.) 0.15 x 100=
25.) 15 x 2.08=
26.) 3.75 % 2.5=
27.) 1.125 % 0.75
Answers
Answer:
3005+4.308+2.47 =7.0785
8.17-3.05=5.12
0.15 ×100=15
15×2.08=31.2
Four out of every 5 doctors use computers.
Write the ratio of doctors who use computers to all doctors.
If 4 out of 5 doctors use computers, how many doctors out of 5 do not use computers?
Write the ratio of doctors who use computers to those who do not.
Answers
Answer:
80%
Step-by-step explanation:
in other words 80 percent of Doctors use computers and 20% do not use computers.
__+(-4)=-1 find the missing value
Answers
Answer:
missing values is 3
I hope it's helps you
What is the mean 17,1,16,16,7,19,3,17
Answers
17+1+16+16+7+19+3+17 = 96
96/8= 12
Answer:
mean=12
Step-by-step explanation:
soln:
given,
17,1,16,16,7,19,3,17
X=17+1+16+16+7+19+3+17
=96
N=8
Now,
[tex] \: mean = \frac{summation \: x}{n} [/tex]
[tex] = \frac{96}{8} [/tex]
=12
therefore, Mean=12
hope you understand it
Please answer this
Answer choice
A. Subtraction Property Of Equality
B.Associative Property Of Equality
C.Division Property Of Equality
D.Addition Property Of Equality
Answers
Answer:
step 1. Subtraction Property Of Equality
step 2.Associative Property Of Equality
step 3.Division Property Of Equality
Find the orthogonal decomposition of vector b = 9, 0, 0 with respect to vector a = 4, −5, 0 . (Your instructors prefer angle bracket notation < > for vectors.)
Answers
The orthogonal decomposition of vector [tex]\vec b = <9, 0, 0>[/tex] with respect to vector [tex]\vec a = <4, -5, 0>[/tex] is
[tex]b'=<\frac{16}{5},\frac{8}{5},0>[/tex]
From the Question we are told that
Vector [tex]\vec b = <9, 0, 0>[/tex]
Vector [tex]\vec a = <4, -5, 0>[/tex]
Generally in the orthogonal decomposition of b to a we have
[tex]\vec b=\vec b"+\vec b'[/tex]
Where
[tex]\vec b"=(\frac{\vec b*\vec a}{\vec *\vec a})*\vec a[/tex]
[tex]\vec b"=(\frac{ <9, 0, 0>*<4, -5, 0>}{<4, -5, 0>*<4, -5, 0>})*<4, -5, 0>[/tex]
[tex]\vec b"=<\frac{4}{5},\frac{-8}{5},0>[/tex]
Therefore
[tex]b'= \vec b- \vec b"\\\\b'=<4,0,0>-<\frac{4}{5},\frac{-8}{5},0>[/tex]
[tex]b'=<\frac{16}{5},\frac{8}{5},0>[/tex]
in Conclusion
The orthogonal decomposition of vector [tex]\vec b = <9, 0, 0>[/tex] with respect to vector [tex]\vec a = <4, -5, 0>[/tex] is
[tex]b'=<\frac{16}{5},\frac{8}{5},0>[/tex]
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If 5x + 3 = 23 , what does 12x - 10 equal ?
Answers
Answer:
38
Step-by-step explanation:
5x+3 = 23
5x = 23-3
x = 20/5
x = 4
12x-10 = ?
12 (4) -10
48 -10
38
The value of the expression 12x - 10 will be 38.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that 5x + 3 = 23. To calculate the value of 12x -10 first calculate the value of x.
5x+3 = 23
5x = 23-3
x = 20/5
x = 4
Calculate the value of 12x - 10.
12x-10 = ?
12x-10 = 12 (4) -10
12x-10 = 48 -10
12x-10 = 38
Therefore, the value of the expression 12x - 10 will be 38.
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Expand the following:
a).
[tex]8(x - 2y)[/tex]
b).
[tex] \frac{6a + 18b - 12c}{6} [/tex]
Answers
Answer:
8x-16y
Step-by-step explanation:
b.6a/6+18b/6-12c/6Answer:
8x - 16y and a + 3b - 2c
Step-by-step explanation:
(a)
8(x - 2y) ← multiply each term in the parenthesis by 8
= 8x - 16y
(b)
[tex]\frac{6a+18b-12c}{6}[/tex] ← factor out 6 from each term in the numerator
= [tex]\frac{6(a+3b-2c)}{6}[/tex] ← cancel the 6 on numerator/ denominator
= a + 3b - 2c
Marc has 10 days to finish all three before exams. He plans to read an equal amount each day. How many pages should he read the first boy ?
Answers
Answer:
100 pages
Step-by-step explanation:
total number of pages = 286 + 424 + 290 = 1000
equal amount in 10 days,
number of pages hhe should read in the first day = 1000/10 = 100
I need help on this question, geometry basics.
Answers
Step 1 : F
Step 2 : C
Step 3 : B
Step 4 : E
Step 5 : D
Step 6 : A
help plss!! Directions: Translate into mathematical expressions. Example: The sum of three times a number and 10- (3n + 10)
pleasee do all of these problems now!! and i will mark u branliest if u get at least 4 of em right:)
1. Twelve less than z
2. Twice take the sum of x and y
3. Six less than four times a number
4. Twice the sum of v and 5
6. The average of test scores x and y
7. The cost of m kilograms of meat at $3.95 a kilogram
Answers
What is the number which when divided by 26 gives 15 as
quotient and 8 as remainder
Answers
Answer:
398
Step-by-step explanation:
multiply 15 by 26 then add 8. check answer by dividing 398 by 26 using long division, not a calculator. you will get a decimal or fraction if you do
please any help it's urgent for me.......ok....
Answers
Answer:
[tex]here \: tn + 1 = 3 \\ tn = 2 \\ put \: n = 1 \\ t1 = 2 \\ put \: n = 2 \\ t2 = 2 \\ put \: n = 3 \\ t 3 = 2 \\ for \: all \: n \: \: values \: t = 2 \\ thank \: you[/tex]
What is 0.304 in fractions?
Answers
Answer:
[tex]\frac{38}{125}[/tex]
Hope this helped! Also, it would really help me out if you gave me a Brainliest. It boosts my confidence and makes my day! Would really appreciate! Thank you! (Also, if the answer is wrong, please tell me and I will check as fast as I can)
