solve(X+3) (2x-3)-6x=(x-4) (2x+4)+12​

Answers

Answer 1

Answer:

5

Step-by-step explanation:

x(2x-3)+3(2x-3)-6x=x(2x+4)-4(2x+4)+12

2x^2-3x+6x-9-6x=2x^2+4x-8x-16+12

2x^2-3x-9=2x^2-4x-4

-3x+4x=-4+9

x=5


Related Questions

What is the length of the hypotenuse of the triangle?

Answers

Answer:

Step-by-step explanation:

The hypotenuse has different lengths. It’s always c2 and the longest triangle length of all the triangle.

What is the length of the hypotenuse of the triangle below?

What is the length of the hypotenuse of the triangle below?

Answers

Answer:

Correct option is A

Step-by-step explanation:

According to given question,

\(sin 45^{0} =\frac{5\sqrt 2}{h} \\0.707=\frac{5\sqrt 2}{h} \\h=\frac{5\sqrt 2}{0.707} \\h=1\)

Therefore, correct option is A.

The circle below has center C

The circle below has center C

Answers

well, we know that the angle DCE is 100°, and since a circle has a total of 360°, angle DFE must be 260°, and we also know that its radius is 7.

\(\textit{arc's length}\\\\ s=\cfrac{\pi \theta r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=7\\ \theta = 260 \end{cases}\implies \begin{array}{llll} s=\cfrac{\pi (260)(7)}{180}\implies s=\cfrac{91\pi }{9} \\\\\\ ~\hfill s\approx 31.76 \end{array}\)

A soccer field has a perimeter of 326 metres. Its area is 6370 square metres. What are the dimensions of the field?

Answers

Answer:

Step-by-step explanation:

chiều dài:x,x>0

chiều   rộ:y

\(\left \{ {({x+y)*2=326} \atop {xy=6370}} \right.\)

\(\left \{ {{x+y=163} \atop {xy=6370}} \right.\)

\(\left \{ {{y=163-x} \atop {xy=6370}} \right.\)

\(\left \{ {{y=163-x} \atop {x*(163-x)=6370}} \right.\)

\(\left \{ {{y=163-x} \atop {163x-x^{2} =6370}} \right. \\\)

\(\left \{ {{y=163-x} \atop {x_{1} =98; x_{2} =65}} \right.\)

\(\left \{ {{y=65} \atop {x=98}} \right.\)

5. Find the perimeter and area

*Triangle- based prism*

5. Find the perimeter and area*Triangle- based prism*

Answers

Step-by-step explanation:

for the perimeter you have to say two brackets live plus height plus with plastic

can you please help on this?​

can you please help on this?

Answers

Answer:

hi

7.6×7.6= 57.76

so it has to be bigger than √55

gud luck

If 35 men can reap a field in 8 days; in how many days can 20 men reap the same field?​

Answers

Answer:

87.5 days

Step-by-step explanation:

35/8=4.something

that answer*20=87.5

HELP QUICKLY PLEASE!!
What are the coordinates of the endpoints of the midsegment for △JKL that is parallel to KL¯¯¯¯¯?

Enter your answers in the boxes

HELP QUICKLY PLEASE!!What are the coordinates of the endpoints of the midsegment for JKL that is parallel

Answers

Answer:

Did you find the answer? I need help with this too

Step-by-step explanation:

Terry scored 71, 80, and 86 on his first three history tests. What must terry score on the fourth test to have a mean of exactly 80

Answers

Answer:

83

Step-by-step explanation:

You are trying to find the score that gives you a specific mean.  A mean is calculated by dividing the sum of the data by the amount of data.  Set up in this order, with x as the fourth score, to find the answer.

\(\frac{71+80+86+x}{4}=80\\\frac{237+x}{4} =80\\237+x=320\\x=83\)

The fourth test score must be an 83.

Answer:

83

Step-by-step explanation:

Equation: 71 + 80 + 86 + x / 4 = 80

Add 71, 80, and 86 together.

237 + x = 80

Multiply 4 to both sides (cross multiplying).

237 + x = 320

Subtract 237 from both sides.

x = 83

Solve the following equation for h. 4 = hn

Answers

Answer:

\(h = \frac{4}{n}\)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that do not contain the variable.

Hence, you get the following answer:

\(h = \frac{4}{n}\)


How much is the tree worth?

How much is the tree worth?

Answers

Answer:

8

Step-by-step explanation:

Deer = snow flake = 4

4 + 4 + 4 = 12

Dear - 3 = 1

Snowman = 1

Tree = 8

8 + 1 (snowman) + 8 = 17

There are 900 students at school if each classroom holds 30 students how many classrooms are needed at the school?

Answers

Answer:

Step-by-step explanation:

30 classrooms because 900/30=30





1/5 divied by 2 as a fraction

Answers

The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.

What is 1/5 divied by 2 ?

Given the expression in the question;

1/5 divied by 2

1/5 ÷ 2

To simplify, multiply 1/2 by the reciprocal of 2

1/5 ÷ 2

1/5 × 1/2

Simplify

( 1 × 1 ) / ( 5 × 2 )

( 1 ) / ( 5 × 2 )

Multiply 5 and 2

( 1 ) / ( 10 )

1/10

Therefore, the simplified form is 1/10.

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in a systematic sampling study, if the sampling frame has 2,000 names and the desired sample size is 50, then the skip interval should be

Answers

The skip interval should be 40 if the sampling frame has 2000 names and the desired sample size is 50.

Systematic sampling is a type of sampling which uses the probability method where researchers select members of the group or population at a regular interval.

To determine the skip interval, it is necessary to first determine the sample size. Then the skip interval can be determined by dividing the total population by the target/desired sample size. Therefore;

skip interval = population / target sample size

Substituting the given values;

skip interval = 2000 / 50

skip interval = 40

Hence, the skip interval is calculated to be 40 if the frame has 2000 names and the desired sample size is 50.

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for a questionnaire survey of employees of a particular organisation to investigate a range of aspects of their job satisfaction, a researcher invites all 1000 employees to participate and aims for a sample of 200 men and 200 women. what method of sampling is this?

Answers

This is an example of stratified random sampling as the population is divided into two groups males and females and 200 samples are selected from each group.

Given that,

A researcher asks all 1000 employees to engage in a questionnaire survey to look at various areas of employee job satisfaction with the goal of selecting a sample of 200 males and 200 women.

A crucial element of the sampling method known as stratified random sampling is the division of a population into smaller subgroups known as strata

Therefore, the population is separated into two categories, males and females, and 200 samples are chosen from each group in this stratified random sampling example.

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what is the scale factor
please someone help me​

what is the scale factor please someone help me

Answers

Answer:

1/4

Step-by-step explanation:

The scale factor is the ratio of corresponding side of the image to te original:

k = A'C'/ACk = 6/24 = 1/4

Factor - 3x - 28
ax² + bxtc
Identify the values that should be written to
complete the X diagram.
On the top:
On the bottom:
On the sides
ас
Rewrite the expression using the numbers on the
sides of the X diagram.
Use double grouping to factor the four terms.
x2 – 3x – 28

Answers

x2 – 3x – 28 = (x-7)(x+4)

Answer:

On the top:-28

On the bottom: -3

On the sides: -7 and 4

X2-3x-28=(x-7)(x+4)

Step-by-step explanation: I got it correct on Edge

hi please help i’ll give brainliest please

hi please help ill give brainliest please

Answers

Step-by-step explanation:

B ANSWER OOOOOKKKKKKKKK

Let the long-run profit function for a representative firm is given by π i

=p 2
−2p−399, where p is the price of computer. The inverse market demand for computer is given by p=39−0.009q, where q is unit of computers. Suppose technology for producing computers is identical for all firms and all firms face identical input prices. (a) Find the firm's output supply function. (b) Find the market-equilibrium price and the equilibrium number of firms. (c) Find the number of computers sold by each firm in the long run.

Answers

(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

To find the firm's output supply function, we need to maximize the firm's profit function, which is given by π = p^2 - 2p - 399. In the long run, firms will produce where marginal cost equals marginal revenue. Marginal revenue can be obtained by differentiating the inverse market demand function with respect to q, and marginal cost is equal to the derivative of the profit function with respect to q. Equating the two, we get:

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

To find the market-equilibrium price and the equilibrium number of firms, we need to find the intersection point of the market demand and supply. Substituting the output supply function into the inverse market demand function, we have:

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

Since each firm sells 70 computers in the long run, and there are 10 firms, the total number of computers sold by each firm is:

70 * 10 = 700

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If F(x) = 5x + 4, which of the following is the inverse of F(x)? A. F-1(x) = 4 – 5x B. F-1(x) = C. F-1(x) = D. F-1(x) = 5x – 4

Answers

Answer:

5x-4

Step-by-step explanation:

Find the slope of a line perpendicular to the line whose equation is 4y + 5x = 16.

Answers

Answer:

4/5

Step-by-step explanation:

Convert 4y+5x=16 to slope intercept form

4y=-5x+16

y=-5/4+4

Perpendicular line has slope of 4/5

identify the triangle please hurry

identify the triangle please hurry

Answers

First off, no sides have the same length as the others, so it cannot be an equilateral or an isoceles triangle, as it would required at least 2 sides to have the same length.

So, we're left with scalene triangle options.

There is an angle that is an obtuse angle (as it is more than 90 degrees and less than 180 degrees), so this is a scalene obtuse triangle.

Which expression represents "5 times the sum of 4 and y?"

Answers

Answer:

5 x (4+y)

Step-by-step explanation:

There are federal excise taxes on the retail price when purchasing fishing equipment. the taxes are intended to help pay for parks and conservation. what is the federal excise tax rate if there is an excise tax of $17.50 on a fishing rod and reel that has a retail price of $175?

Answers

Using proportions, it is found that the federal tax rate is of 10%.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The tax rate is the proportion that $17.50 is of $175, hence:

r = 17.50/175 = 0.1 = 10%.

The federal tax rate is of 10%.

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Select the correct answer.
What is the equation of a line that passes through (7, 8) and has a slope of -3?
OA y=-3x+29
OB y=3x + 13
Ocy=((3)x - 299
D. 'y=(1/(3)x- 13

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (7, 8) into the partial equation

8 = - 21 + c ⇒ c = 8 + 21 = 29

y = - 3x + 29 → A

determine whether the statement is true or false. if f '(x) > 0 for 6 < x < 8, then f is increasing on (6, 8).

Answers

The statement "if f '(x) > 0 for 6 < x < 8, then f is increasing on (6, 8)" is true. This is because a positive derivative indicates that the function is increasing.

The given statement is true. If f '(x) > 0 for 6 < x < 8, then f is increasing on (6, 8). The slope of the tangent line at x will be positive for all x in the given interval (6,8). This means that the function is getting steeper as x increases. As the slope of the tangent line is positive for all x in the interval (6, 8), this means that the function f is increasing on the interval (6, 8).

In calculus, a function f(x) is increasing over an interval if and only if its derivative f'(x) is greater than zero over that interval. This is because the derivative is the slope of the function, and a positive slope corresponds to an increasing function.

Thus, if f'(x) > 0 for 6 < x < 8, then f is increasing on (6, 8).In other words, the sign of the derivative of f tells us whether the function is increasing or decreasing. A positive derivative means that the function is increasing, while a negative derivative means that the function is decreasing. Therefore, the statement "if f '(x) > 0 for 6 < x < 8, then f is increasing on (6, 8)" is true. This is because a positive derivative indicates that the function is increasing.

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2 sin x + V3 = 0
i need help answering this

Answers

Answer:

2 sin x + √3 = 0

2sinx=-√3

sinx=-√3/2

x=sin-¹(-√3/2)(sin-¹ means inverse of sin)

x=-60

suppose that $4500 is placed in an account that pays 18% interest compounded each year. assume that no withdrawals are made from the account.

Answers

The amount in account is $5310.

We have given that,

$4500 is placed in an account that pays 18% interest compounded each year. And we have to find the amount in the account.

We will use the formula,

A = a(1 + r)^t

where a = initial value = $4500

           r = rate = 18% = 0.18

           t = amount of time = 1

⇒ A = 4500(1 + 0.18)^1

       = 4500(1.18)

    A = 5310

Therefore the account will have $5310 after one year.

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Show that {(x, y) | x − y ∈ Q} is an equivalence relation on the set of real numbers, where Q denotes the set of rational numbers. What are [1], [1/2], and [π]?

Answers

In summary the equivalence relation on the set of real numbers is:

- [1] = {x ∈ R | x = 1 + q, q ∈ Q}

- [1/2] = {x ∈ R | x = 1/2 + q, q ∈ Q}

- [π] = {x ∈ R | x = π + q, q ∈ Q}

What are real numbers?

The union of both rational and irrational numbers is known as a real number. They are represented by the letter "R" and can be either positive or negative.

To show that the relation {(x, y) | x − y ∈ Q} is an equivalence relation on the set of real numbers, we need to verify three properties: reflexivity, symmetry, and transitivity.

1. Reflexivity: For any real number x, we have x - x = 0, which is a rational number (0 ∈ Q). Therefore, (x, x) ∈ {(x, y) | x − y ∈ Q} for all x, and the relation is reflexive.

2. Symmetry: If (x, y) ∈ {(x, y) | x − y ∈ Q}, then x - y is a rational number. Since the negation of a rational number is still a rational number, -(x - y) = y - x is also a rational number. Therefore, (y, x) ∈ {(x, y) | x − y ∈ Q}, and the relation is symmetric.

3. Transitivity: If (x, y) ∈ {(x, y) | x − y ∈ Q} and (y, z) ∈ {(x, y) | x − y ∈ Q}, then x - y and y - z are both rational numbers. The sum of two rational numbers is also a rational number, so (x - y) + (y - z) = x - z is a rational number. Therefore, (x, z) ∈ {(x, y) | x − y ∈ Q}, and the relation is transitive.

Since the relation satisfies all three properties (reflexivity, symmetry, and transitivity), it is an equivalence relation on the set of real numbers.

Now, let's determine the equivalence classes [1], [1/2], and [π].

The equivalence class [1] consists of all real numbers x such that x - 1 ∈ Q. In other words, [1] = {x ∈ R | x - 1 ∈ Q}. This means that any real number x in the form x = 1 + q, where q is a rational number, belongs to [1].

Similarly, the equivalence class [1/2] consists of all real numbers x such that x - 1/2 ∈ Q. Therefore, [1/2] = {x ∈ R | x - 1/2 ∈ Q}, which means that any real number x in the form x = 1/2 + q, where q is a rational number, belongs to [1/2].

Finally, the equivalence class [π] consists of all real numbers x such that x - π ∈ Q. Thus, [π] = {x ∈ R | x - π ∈ Q}. This means that any real number x in the form x = π + q, where q is a rational number, belongs to [π].

In summary:

- [1] = {x ∈ R | x = 1 + q, q ∈ Q}

- [1/2] = {x ∈ R | x = 1/2 + q, q ∈ Q}

- [π] = {x ∈ R | x = π + q, q ∈ Q}

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A number cube is tossed 60 times.


Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8


Determine the experimental probability of landing on a number less than 5.
8 over 60
10 over 60
27 over 60
42 over 60

Answers

The probability of rolling a number less than 5 is 42/60

How to find the experimental probability?

It is given by the quotient between the number of times that we got a given outcome and the total times that the experiment was performed.

Here we want to find the experimental probability of landing on a number less than 5 (these are 1, 2, 3, 4)

Outcome Frequency

1                  12

2                 13

3                   11

4                   6

These are the tables, adding these we get:

12 + 13 + 11 + 6 = 42

So in 42 out of 60 tosses we got a number less than 5, then the experimental probability is:

42/60

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