Solve for "x"
4 (2x (2x - 1) - 1 (2x - 1)) = 0

Answers

Answer 1

Answer:

x = 1/2 or 0.5

Step-by-step explanation:

4 • ((2x • (2x - 1)) -  (2x - 1))  = 0

The rule says: To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (2x-1)  and the exponents are :

         1, as  (2x-1), is the same number as  (2x-1)1

and   1, as  (2x-1)  is the same number as  (2x-1)1

The product is therefore,  (2x-1)(1+1) = (2x-1)2

 4 • (2x - 1)2  = 0

4.2      Solve  :    (2x-1)2 = 0

 (2x-1) 2 represents, in effect, a product of 2 terms which is equal to zero

For the product to be zero, at least one of these terms must be zero. Since all these terms are equal to each other, it actually means:   2x-1  = 0

Add  1  to both sides of the equation :

                     2x = 1

Divide both sides of the equation by 2:

                    x = 1/2 = 0.500

Answer 2

Answer:

x = 1/2.

Step-by-step explanation:

4 (2x (2x - 1) - 1 (2x - 1)) = 0

(2x (2x - 1) - 1 (2x - 1)) = 0

(2x - 1) is common to both parts.

(2x - 1)(2x - 1) = 0

2x - 1 = 0

x = 1/2.


Related Questions

The length of a rectangular sign is 3 feet longer than the
width. If the sign's area is 54 square feet, find its length and
width.


(Anyone else taking Algebra 2?)

Answers

Answer:

length is 9 and width is 6

Step-by-step explanation:

List the factors of 54 and choose the numbers that only have a difference of 3. In this case it is 6 and 9, then put them in the order they go based on the instructions.

3. The expression 2x+6 is equal to 9 for some value of x. Without finding the value of x, determine the
values for each of the following expressions. Show how you arrived at each answer.
(b) 2x+9
(a) 4x+12
2 (2x+6)
2(a)
18
(d) -6x-18
-3(2x+6)
-3(a)
-27
(e) 2x+1
22460
(c) x+3
26200
(f) 10x+32
in of

Answers

Answer:

E, B, 2 = (2x + 6)

Step-by-step explanation:

I think those are correct.

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answers

An open circle is at 3 and a bold line starts at 3 and is pointing to the left

Inequality expressions

Inequalities are expressions that are not equated by an equal sign. Given the expression below:

3(8 – 4x) < 6(x – 5)

Expand to have:

3(8) - 3(4x) < 6x - 6(5)

24 - 12x < 6x - 30

Collect like terms

-12x - 6x < -30 - 24

-18x < -54

Divide both sides by -18

-18x/-18 < -54/-18
x < 54/18
x < 3

Hence the solution of the inequality on the number line A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left

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the density of a certain material is such that it weighs 3 grams per fluid ounce of volume. express this density in ounces per liter. round your answer to the nearest hundredth.

Answers

The density in ounces per liter is 3.57826 rounding off = 3.58

Density of a substance can be defined as a relationship between the mass and the volume of that substance.

[tex]Density=\frac{Mass}{Volume}[/tex]

For Example if a metal have a mass 0f 7gm and volume as [tex]5cm^{3}[/tex]

[tex]Density=\frac{7}{5} = 1.4g/cm^{3}[/tex]

we know that 1 gram/fluid ounce of volume = 1.19275 ounces/liter

1 gm/fluid ounce =1.19275 ounces/liter

3 gm/fluid ounce = 3*1.19275 ounces/liter

So 3 gm/fluid ounce = 3.57826 ounces/liter

On rounding it to nearest hundredth we get 3.58 ounces/liter

Therefore the density of the material which weighs 3 gm/fluid ounce in ounces/liter is 3.58.

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The letters a and b represent nonzero constants. Solve ax+b=41 for x .

Answers

The given equation is solved to x as x=(41-b)/a.

The given equation is ax+b=41.

We need to solve the given equation for x.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, the equation ax+b=41 can be solved as follows:

Keep the variable x on the left-hand side of the equation and bring a to the right-hand side of the equation.

That is, x=(41-b)/a (when you bring a variable from LHS to RHS or vice versa the mathematical operations become inverse that is multiplication changes to division)

Therefore, the given equation is solved to x as x=(41-b)/a.

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8000(1+i)^8 solve for i

Answers

Answer:

128,000

Step-by-step explanation:

➟ 8000(1+i)8

➟ (8000 + 8000i)8

➟ 64000 + 64000 = I

➟ I = 128000

when addition or subtraction is performed, answers are rounded to the least significant decimal place

Answers

For addition and subtraction problems, the answer should be rounded to the least  significant decimal places as the measurement with the least number of decimal places

The rightmost digit of a decimal number is the least significant digit or least significant figure. Another way to look at the least significant figure is to consider it to be the rightmost digit when the number is written in scientific notation. Least significant figures are still significant.

Count the number of significant figures in the decimal portion only of each number in the problem. Add or subtract in the normal fashion. Final answer may have no more significant figures to the right of the decimal than the least number of significant figures in any number in the problem.

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Find the measure of the longest angle

Answers

The largest angle of the given triangle is 105 degrees. If its measure of other two angles are (6x +17) degrees and (5x + 14)  degrees.

According to the given question.

We have, the measure of the angles  of a triangle are 105 degrees,

(6x +17) degrees, (5x + 14) degrees.

As we know that the sum of the angles of a triangle is always 180 degrees.

Therefore, we can say that

105 + (6x +17) + (5x + 14)  = 180

⇒ 105 + 6x + 17 + 5x + 14 = 180

⇒ 136 + 11x = 180                   (adding the like terms)

⇒ 11x = 180 -136

⇒ 11x = 44

⇒ x = 44/11

⇒ x = 4 degrees.

So,  (6x +17) degrees = 6(4) + 17 = 24 + 17 = 41 degrees

and,  (5x + 14)  degrees = 5(4) + 14 = 20 + 14 = 34 degrees

Hence, the largest angle of the given triangle is 105 degrees. If its measure of other two angles are (6x +17) degrees and (5x + 14)  degrees.

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Acme widgets had an order to process 250 widgets. The first unit required 200 minutes to assemble. Before starting, the company estimated the amount of time it would require to assemble all 250 widgets if they learned at an 85% rate. After assembling all 250 widgets, acme realized they had learned at an 80% rate. How much time less than their estimate did acme take? you should be able to compute the answer within plus or minus 2 hours.

Answers

91.2 hours less was taken to assemble the parts of the widgets by estimation.

Firstly, we will find out the range:

Using the cumulative unit table to determine the range, we get that-

Range = 88.83 - 61.47

Range = 27.36

Secondly, we will calculate the minutes requires to assemble the widgets.

Number of minutes = 27.36 × 200 minutes

Number of minutes = 5472minutes

Now, we have to calculate  how much time less than their estimate did acme take:

Time = 5472 / 60

Time = 91.2

Therefore, we get that, 91.2 hours less was taken to assemble the parts of the widgets by estimation.

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After finding the fish you would like to take home to cook, you discover it cost $2 to wrap the fish and $4.50 per pound. Another vendor is selling another fish for a flat rate of $5 per pound. Set up an equation to determine how many pounds of fish would result in the same cost. Then, solve the equation.

Answers

Answer is x = 4# fish

Equation: 2 + 4.50x = 5x

Step by step

We know one vendor charges $2 + $4.50/#
We know one vendor charges $5/#

X = unknown # pound

Our equation will be separated by = sign because we are looking for when the price will equal

2 + 4.50x = 5x

Subtract 4.50x from both sides to isolate the variable

2 = .50x

Divide both sides by .50 to solve for x

X = 4 # fish

Substitute your x value (4) for x in your equation

4.50x4 + 2 = 5x4

20 = 20

They equal, problem solved!

What is 9+7+5+6+3+4+1+4+4+4 / 6

Answers

Answer:

7.83 is the answer of ur question

a random sample of 12 tests for two different drugs revealed the following times​ (in minutes) until the effects of the drug were neutralized.which drug appears to be effective​ longer?

Answers

Drug A is more effective since mean time of effects of Drug A>mean time of effects of Drug B.

What is Random sampling?

Each sample has an equal chance of being picked as part of the sampling procedure known as random sampling. A randomly selected sample is intended to provide a fair reflection of the entire population. Sampling mistake occurs when, for any reason, the sample does not accurately reflect the population.

One of the most straightforward methods for gathering information from the whole population is random sampling. Each member of the subset has an equal chance of being picked as part of the sample process when using random sampling.

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A bag of marbles contains 3 red marbles, 5 blue marbles, and 2 yellow marbles. (Write your answer as a fraction, decimal, and a percent.) What is P(red)? What is P(blue)? What is P(yellow)? What is the most likely outcome when drawing a marble out of the bag? Explain. What is the least likely outcome when drawing a marble out of the bag? Explain.

Answers

Answer: 30% blue, 50%red, and 20%yellow

Step-by-step explanation:

A librarian is sorting books. He has 15 crates that are each filled with 22 books. How many books does this librarian have to sort?

Answers

Answer:

330

Step-by-step explanation:

15 crates × 22 books each = 330 books

Therefore, the librarian has 330 books to sort.

Which algebraic expression is equivalent to the expression below?

(4x + 12) + 9x
A.
(4x - 9x) + 12
B.
(4x + 12x) + 9
C.
(4x + 9x) + 12
D.
25x

Answers

The algebraic expression that is equivalent to (4x + 12) + 9x is:  C. (4x + 9x) + 12.

How to Determine Equivalent Expression?

Algebraic expressions are equivalent to each other if they have he same value when simplified or evaluated.

Given the expression, (4x + 12) + 9x, we have:

4x + 12 + 9x

Add like terms

13x + 12

Also, simplifying (4x + 9x) + 12, we give us the following:

4x + 9x + 12

13x + 12

Therefore, the algebraic expression that is equivalent to (4x + 12) + 9x is:  C. (4x + 9x) + 12.

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Julie has $538 in her bank account. On Monday, she withdrew $218 from her bank account. On Friday, she deposited $49 into her
bank account. What is the net change in her bank account balance from before she made her withdrawal on Monday until after her
deposit on Friday?

Answers

Answer:

Step-by-step explanation:Before her deposit on Monday, she had $538 now she has, 538 - 218 + 49 = $369 in her bank account after her withdraw on Friday. Hope this helps, best of luck!

Oceanside Bike Rental Shop charges 24 dollars plus 7 dollars an hour for renting the bike. Mike paid 49 dollars to rent a bike. How many hours did he pay to have the bike checked out?

Answers

Step-by-step explanation:

24+7 =31 for one hour

so 49-31= 18 remaining 18/7 =2 remainder 4 so now we have 3 hrs but what about the remainder 4?

if 7 is to 60 as 4 is to x then...

7/60=4/x which will give you x=34.29 mins. so he rented the bike for 4 hours and 34.29 mins

Find q in this equation

Answers

Hi!
Check out the attached photo!

17. The difference of a number and 12 is three. Find the number.

Answers

15-12=3 I think the answer is 15 so the difference of a number and 12 is 15

Divide the amount of white sugar by the amount of brown sugar. What is the quotient? 3over 8 ,2over3,2, or 2and 2 3rds​

Answers

By dividing the amount of white sugar by brown sugar we get, 2 2/3. The quotient is 2.

A fraction is a numerical quantity that is not a whole number. In other words, fraction can be defined as a small or tiny part, amount, or proportion of something.

A fraction represented with its quotient and remainder is a mixed fraction.  In other words, a mixed fraction is a combination of a whole number and a proper fraction.

Amount of white sugar  ÷ Amount of brown sugar

2/3 ÷ 1/4

2/3 × 4/1

8/3

2 2/3.

Here quotient is 2 and 2 is the remainder.

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h bvv    bv                                      

label each quantity as an exact or inexact number. the four bicycles in the family have been ridden for a total of 250 mi. a child fell and had a 4-cm laceration that required 12 stitches.

Answers

Both statements can be included in the exact numbers category.

Maple provides two kinds of numbers: exact and inexact. If you do arithmetic with exact numbers (and they aren't too large) the answer that you get back is exactly right. If you do arithmetic with inexact numbers (and they aren't too large or too small) the answer may have a small amount of roundoff error. Although we'll treat this distinction at length in future lessons, it is convenient to take a preliminary look right now.

consider the four bicycles in the family have been ridden for a total of 250 mi.

The above statement can be categorized into exact numbers as 4 and 250 are countable.

Now, consider a child fell and had a 4-cm laceration that required 12 stitches.

The above statement can be categorized into exact as the numbers 4 and 12 are countable.

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Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 222 seconds. But, as she gets tired, each sit-up takes longer and longer to do.

Answers

Answer:

No, the number of sit-ups Anna does, are not proportional to the time she spends doing them.

Step-by-step explanation:

When Anna starts, she does a sit-up every 22 seconds.

Emma is planning how much she needs to make next week. She can only work 25 hours, and she needs to make a total of $620. What is the dollar value of sales Emma will need to make?

Answers

Answer:

The corrects answer is: Emma will need to make sales totaling $800 next week to meet her goal.

Step-by-step explanation:

leonard can wash 6 cars in 4.5 hours. assuming that he always washes cars at this same rate, answer the following. how many cars can he wash in 9 hours?
how long will it take him to wash one car?
how many cars can he wash in one hour

Answers

He wash 12 cars in 9 hours.

And, He take 45 minutes to wash a car.

And, He wash one and one third part of cars in one hour.

Given that;

Leonard can wash 6 cars in 4.5 hours.

He always washes cars at this same rate.

We have to find number of wash cars in 9 hour and time to wash one car and number of wash cars in one hour.

What is relation between hour and minutes?

The relation between hour and minutes is ;

1 hour = 60 minutes.

Now, we have;

Leonard can wash 6 cars in 4.5 hours.

Time for wash 6 cars = 4.5 hour

So, Time for wash 1 car = 4.5 ÷ 6 = 0.75 hour

Since, 1 hour = 60 minutes

Hence, Time for wash 1 car = 0.75 x 60 = 45 minutes

And, In time 4.5 hour, number of wash cars = 6

So, In 1 hour, number of wash cars = 6/4.5 = 1 1/3

Hence, Number of wash cars in one hour is one and one third part of car.

In 9 hour, number of wash cars = (6/4.5) * 9 = 12

Hence, Number of wash cars in 9 hours is 12.

So, He wash 12 cars in 9 hours.

And, He take 45 minutes to wash a car.

And, He wash one and one third part of cars in one hour.

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Which of the following is a true statement

Answers

The answer is D) is a correct answer

What is another solution of the equation
x + y = 7?
Enter the correct answer.

Answers

The solution of the equation x + y = 7 is equal to (x, y) = (1, 6).

The given equation is of the form of linear equation in two variables. A linear equation in two variables is an equation of the form ax + by c = 0 where a, b and c are coefficients and x, and y are independent and dependent variables respectively.

Now, if we take the equation in the question x + y = 7 and assume (1, 6) as (x, y) then

x + y = 7

Putting (x, y) = (1, 6)

=> 1 + 6 = 7

=> 7 = 7

Thus, we see that L.H.S = R.H.S and thus (1, 6) is the solution of the equation x + y = 7.

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make b the subject of p=1/2ab^2+c

Answers

The variable b as the subject of the formula is b = √2(p -c)/a

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to make b the subject of the equation?

The equation is given as

p = 1/2ab^2 + c

Subtract c from both sides of the equation

So, we have

1/2ab^2 = p - c

Multiply through by 2

ab^2 = 2(p -c)

Divide by a

b^2 = 2(p -c)/a

Take the square root of both sides

b = √2(p -c)/a

Hence, b as the subject of the formula is b = √2(p -c)/a

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what is the distributive property of 57 x 9

Answers

Answer:

I believe the answer is (50 x 9) + (7 × 9)

You have to expand 57 which is 50 + 7 and multiply each by 9. Hope it helps!!

To estimate the percent of red marbles in a large bag of marbles, margo will use the following sampling method. She will randomly select a marble, record its color, put it back into the bag, shake the bag to thoroughly mix the marbles, and then repeat those steps. She will perform the procedure many times. What type of sampling method is margo using?.

Answers

It is found that Margo are going to be using sampling.

sampling in statistics may be a a part of the sampling technique within which each sample has an equal probability of being chosen. In other words, a sample chosen randomly is an unbiased representation of the entire population.

Sample strategies is also classified as :

1) Convenient: The sample that is taken from a pool that is readily accessible.

2) Random : When all options are into a hat and draw a number of team

3) Systematic : Every kth element

4) Cluster : once we divide population into groups called clusters, and every element of cluster is surveyed.

5) Stratified : In stratified also divides the population into groups, However just some of the weather of the group are surveyed. per the question Marbles are taken from the bag, and after they're taken they're again placed back within the bag so it depicts sampling.

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Someone help me plsss

Answers

Answer:

e)

f) cents

g) Cents 102.9 convert to Dollars 1.029

h) Cents 98.9 convert to Dollars 0.989

i) $56.60

j) $54.40

Step-by-step explanation:

e) is correct. The discount is 4¢ per litre
f) It should be cents, not dollars

g) Without a voucher, the cost of fuel is 102.9¢ = $102.9/100= $1.029

h) Since the discount is 4¢ per litre, the price of fuel comes down froom 102.9 - 4 = 98.9¢ = 98.9/100 $ = $0.989

i) 55L at undiscounted price = 55 x $1.029 = $56.595 rounded up to $56.60

j) With a voucher, there is a discounted price of $0.989 per litre. So for 55L, discounted price with voucher = 55 x 0.989 = $54.395 = $54.40 rounded to the nearest cent

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