3/(2x-1)+4=6x/(2x-1)
Answers
Explanation:
3/(2x-1)+4=6x/(2x-1)
Make both sides has the same denominator:
3/2x-1 + 4(2x-1)/(2x-1) = 6x/2x-1
Cut down all the denominator:
3 + 8x -4= 6x
8x - 1 = 6x
2x = 1
X= 1/2
Related Questions
what are three consecutive integers that add to 40
Answers
Answer:
12 1/3 + 13 1/3 + 14 1/3 = 40
Step-by-step explanation:
Here we will use algebra to find three consecutive integers whose sum is 40. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 40. Therefore, you can write the equation as follows:
For the polynomial f(x) = 2x3 – 9x2 +117 - 20 as x → -0,f(x) > 0 O A. True O B. False
Answers
Given the function;
\(\begin{gathered} f(x)=2x^3-9x^2+11x-20 \\ \end{gathered}\)The leading exponent is odd and the leading coeeficient is positive, so as x tends to positive infinity, f(x) also tends to positive infinity and as x tends to negative infinity, f(x) also tends to negative infinity.
Thus, the correct answer is FALSE.
(-2-3)-(4-5)+ (−1+6)−(−9+8)=
Answers
Answer:
Step-by-step explanation:
(-2-3)-(4-5)+ (−1+6)−(−9+8)
-5-4+5-1+6+9-8
-9+4+15-8
-5+7
2
(-5) + (1) + (5) + (1)
(-4) + (6)
= 2
Which equation describes the same line asy- 3 =-1(x+ 5)?
OA. y=-1x- 2
O B. y= -1x-1
O C. y=-1x+8
O D. y=-1x-5
Answers
The graph shows a function of the form () = ab
.
Use the drop-down menus to complete the statements about the function, and then write an equation that represents this function.
Answers
Answer:
When \(x=0\), the value of f(x) is 1.
Each time x increases by 1, f(x) is multiplied by 4.
Equation of function: \(f(x)=1\cdot 4^x\)
Step-by-step explanation:
The detailed explanation is attached below.
K
Each of the following three data sets represents the IQ scores of a random sample of adults. IQ
scores are known to have a mean and median of 100
105
105
111
105
111
102
106
91
99
99
109
99
109
111
115
112
Sample of Size 5
91
91
111
Sample of Size 12
888888 888
100
110
97
104
Sample of Size 30
91
111
113
113
108
113
108
91
118
110
Full data set o
101
109
101
109
91
97
95
CELES
m
For each data set, compute the mean and median
What is the mean of the sample of size 5?
(Type an integer or decimal rounded to one decimal place as needed
Answers
A 1.5 standard deviations above the mean IQ score is 122.5.
How do equations work?An expression that depicts the relationship between two or more numbers and variables is called an equation.
A dependent variable is one that depends on another variable, whereas an independent variable does not depend on any other variable for its value.
Giving the z score are:
z is calculated as (raw score - mean) / standard deviation.
with a standard deviation of 15 and a mean of 100. The z-score of 1.5 is equal to the IQ score that is 1.5 standard deviations above the mean, so:
1.5 = (x - 100)/15
x = 122.5
A 1.5 standard deviations above the mean IQ score is 122.5.
The Complete Question is IQ score.
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plz help first right gets brainly
Answers
Answer:
D, see attachment
Step-by-step explanation:
An equation with a squared symbol (²) will never be linear. You can also graph these lines to be sure.
The attachment shows each of these graphed.
Red line- A
Orange line- B
Green line- C
Purple line- D
Line D is nonlinear, so the answer is D.
If 107 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $3.5 and total receipts for the concert was $391.25, how many of each went to the concert?
Answers
Answer:
Step-by-step explanation:
Let's assume that 'a' adults and 'c' children attended the concert.
From the problem statement, we know that:
a + c = 107 ---(1) (The total number of people who attended the concert is 107)
3.75a + 3.5c = 391.25 ---(2) (The total revenue generated from the concert is $391.25)
Now, we need to solve these two simultaneous equations to find the values of 'a' and 'c'.
To do this, we can use the elimination method to solve these equations.
First, we will multiply equation (1) by 3.5 to eliminate 'c':
3.5a + 3.5c = 374.5 ---(3)
Next, we will subtract equation (3) from equation (2):
3.75a + 3.5c - (3.5a + 3.5c) = 391.25 - 374.5
0.25a = 16.75
a = 67
Now that we know the value of 'a', we can substitute it into either equation (1) or (2) to find the value of 'c':
a + c = 107
67 + c = 107
c = 40
Therefore, there were 67 adults and 40 children at the concert.
Evaluate the expression, xz- y, if x=3,y=6, and z =7
Answers
21-6=15
15 is the answer
I’m Confused On The Question
Answers
please help asap!:)) and show work!
Answers
Answer:
The other acute angle = 33 1/3°
Step-by-step explanation:
Hard to read the angle measure.
one acute angle = 56 2/3° x = the second acute angle
Find the other acute angles.
The two acute angles sum in a right triangle = 90°
56 2/3° + x° = 90°
x = 90 - 56 2/3
x = 89 3/3° - 56 2/3°
x = 33 1/3°
Ahmed has a large can of applesauce. He gives 1/3 of th
applesauce to Sasha. Sasha uses 1/10 of the applesauce to bake
muffins. How much of the original container of applesauce does
Sasha use to bake muffins?
Answers
By direct multiplication of fractions, we will see that she uses 1/30 of the original container of applesauce to bake the muffins.
How to take the product of two fractions?
Remember that the product of two fractions is just:
\(\frac{x}{y} \frac{a}{b} = \frac{x*a}{y*b} \)
Now, we know that Sasha gets 1/3 of the applesauce, and she uses 1/10 of what she gets to make the muffins. So the fraction that she uses is just the product of these two:
\(\frac{1}{3}* \frac{1}{10} = \frac{1}{30} \)
This means that she uses 1/30 of the original container of applesauce to bake muffins.
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What is the solution to x2 – 9x < –18? ASAP will give brainliest
x < –6 or x > 3
–6 < x < 3
x < 3 or x > 6
3 < x < 6
Answers
The solution to the inequality equation \(x^{2}\) – 9x < –18 is 3 < X < 6
Inequality equationInequality equation means a mathematical expression in which the sides are not equal to each other
\(x^{2}\) – 9x < –18
Rewrite in standard form
x^2 -9x +18 < 0
Factorise the equation
\(x^{2}\) - 3x -6x +18 < 0
x (x - 3) - 6 (x - 3) < 0
(x - 3) ( x- 6) < 0
(x - 3) < 0
x < 3
( x- 6) < 0
x < 6
3 < X < 6
Therefore, the solution to the inequality is 3 < X < 6
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what is the mathematical expression of “the sum of a number x and three”
Answers
Answer: X + 3
Step-by-step explanation:
Sum hints as to an addition statement and it specifies a variable X and the number 3 so the expression would be X + 3.
SUM MEANS ADDITION
HERE IT MEANS THE ADDITION OF x and 3
written as
\(x + 3\)
HOPE THIS HELPS
Explain why multiplying by 8/3 gives the same result as first multiplying by 8 and then multiplying by 1/3
Answers
Because by multiplying by 8/3, you're multiplying by 1/3, 8 times. (8*1/3=8/3)
Using a calculator or statistical software, find the linear regression line for the data in the table below.
Using the regression with the values rounded to the nearest hundredth, find the value of y at x=7. Round your answer to the nearest hundredth if necessary.
x y
0 2.83
1 3.33
2 6.99
3 8.01
4 7.62
5 7.66
Answers
Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.
To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.
Using the provided data, the linear regression line equation is:
\(\[ y = 1.3642x + 3.2324 \]\)
To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:
\(\[ y = 1.3642(7) + 3.2324 \]\)
Simplifying the equation, we get:
\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)
In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.
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What is the product
46 times 10 (the ten has a exponent number) and the exponent number is 2
Answers
Answer:
The answer is 4600. 10 with the exponent of 2 is 100, so 100 times 46 is 4600. Hope this helps;)
Step-by-step explanation:
100 textbooks decreased by 22%
Answers
You get the 88 from 100%-22%= 88%
So then you have to go and take the 100 textbooks by x .88 which is the remainder of the total once 22% is deducted :)
1, 3, 5, 7, 9, 9, 11, 11, 13, 14 }
Which box plot represents the data set?
Answers
Which graph represents points on the polar curve r = –4sin(3θ)?
Answers
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
What are Polar coordinates?Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.
To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).
Given data ,
Let the polar curve be represented as A
Now , the polar coordinates is given as
r = -4 sin ( 3θ )
And , To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
So , on simplifying , we get
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
Hence , the polar curve is r = -4 sin ( 3θ )
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Answer:
D
Step-by-step explanation:
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8.
Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget
of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?
Answers
Answer:
16 new releases and 22 classic movies.
In the diagram below, FC = 10.9,
DE = 17.5, and DF = 13.1. Find the
length of EB. Round your answer to the
nearest tenth if necessary.
D
F
E
C
B
Answers
The length of EB is approximately 14.6 units when rounded to the nearest tenth.
To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.
Using the similarity ratio, we can set up the proportion:
DF / CF = DE / EB
Plugging in the given values, we have:
13.1 / 10.9 = 17.5 / EB
To find EB, we can cross-multiply and solve for EB:
13.1 * EB = 10.9 * 17.5
EB = (10.9 * 17.5) / 13.1
EB ≈ 14.6
Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.
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A fence with 2 gates in it surrounds a lion enclosure.
Each gate is 4 m wide.
an image
What is the length of the fence around the enclosure not including the gates?
Answers
The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.
Let's assume the length of the rectangle is 'l' and the width is 'w'.
From the given data, we know that each gate is 4 m wide.
Therefore, the width of the rectangle is:
Width = w + (4 m + 4 m) = w + 8 m
The perimeter of the rectangle is:
P = 2l + 2(w + 8 m) = 2l + 2w + 16 m
Now, we need to subtract the combined length of the two gates from the perimeter:
P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m
So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
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some adults and children are watching a musical there are n children there are 25 fewer adults
Answers
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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Nina's garden 4 1/5 meters long and 3/10 meter wide. What is the area of Nina's garden?
Answers
Answer:
63/50 as an improper fraction.
1 13/50 as a mixed number
Step-by-step explanation:
how many 2/3 quarts portions are in 7 1/3 quarts of soup ?
Answers
Answer:
11 1/4
Step-by-step explanation:
ANSWER= 11 1/4 is your answer
Step-by-step explanation:
What is the domain of the exponential function?
\(y=2^{x}+6\)
Answers
The domain of the exponential function is all real numbers.
The domain of a function refers to the set of all possible input values (also known as the independent variable) for which the function is defined.
For the exponential function y = 2ˣ + 6, the domain includes all real numbers.
This is because there are no restrictions on the input values that can be plugged into the function.
We can take any real number x, substitute it into the expression 2ˣ, and then add 6 to get a corresponding output value y.
Hence, the domain of the exponential function is all real numbers.
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The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answers
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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What is the first multiple of 191
Answers
Answer:
382
Step-by-step explanation:
To find the first multiple, we can just add 191 to itself.
191 + 191 = 382
Best of Luck!
Step-by-step explanation:
382
..................
Question 7(Multiple Choice Worth 1 points)
(01.03 LC)
Yolanda's age is 5 years less than twice Marco's age. If Yolanda is 15 years old, how old is Marcus? Choose the answer below that is a viable solution to
problem
O 10
08
05
Answers
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation: