Solve each equation. If necessary, round to the nearest ten-thousandth. 12⁴⁻x=20

Answer:2.7 - 1.1 = 1.6

The factoring of the expression x²+ 4x+4 is (x+2)²

To solve this exercise, we have to follow the rules of factoring:

x²+ 4x + 4

1. Looking for the a and b number that state the following equations:

Analyzing that (a*b) is a positive number, it means that (a) and (b) have the same signs.

The number could be:

a = 2

b = 2

Confirming:

a + b = 2 + 2 = 4

a * b = 2 * 2 = 4

2. Rewriting the factored expression (x+a)(x+b) with the obtained values, we get:

(x+2) (x+2)

3. Rewriting as the square of a binomial, we get:

(x+2)²

Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.

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The required amount of shipping paid by Mai is 8.

In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".

Now it is given that,

Amount of shipping fee = 7.95

percentage of shipping fee = 6.25% of the total purchase

Total amount purchased = 128

Thus, amount of shipping for this purchase is given as,

Amount of shipping = 6.25% of 128

Solving,

Amount of shipping = 0.0625*128 = 8

Since the shop charges shipping fees of whichever is greater

and 7.95 < 8

Thus, amount of shipping paid by Mai = 8

Thus, the required amount of shipping paid by Mai is 8.

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The solution to the given system of equations will be x = -2, y = 5/3. That is (-2, 5/3)

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given system of equation is;

y = 2/3 x + 3     ----------- (1)

x= -2                 ----------- (2)

The value of x has been given in the second equation.

Now, we need to determine the value of y

From the second equation, we have that;

x = -2

Now Substitute the value of x into the first equation,

y = 2/3 x + 3

y = 2/3 (-2) + 3

y = -4/3  + 3

y = 5/3

Hence, the solution to the given system of equations will be x = -2, y = 5/3. That is (-2, 5/3)

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What happens to the value of this expression 5/x + 5 as x decreases from a large positive number to a small positive number is that: A. It increases.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number. As a general rule, the smaller the divisor (denominator) of an expression, the larger would be the quotient.

Evaluating the given expression, we have:

When x = 3;

5/3 + 5 = 6.7

When x = 2;

5/2 + 5 = 7.5.

When x = 3;

5/1 + 5 = 10.

In conclusion, as x decreases from a large positive number to a small positive number in this expression 5/x + 5, its value would increase.

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Complete Question:

What happens to the value of the expression 5/x + 5 as x decreases from a large positive number to a small positive number? Choose 1 answer:

A. It increases.

B. It decreases.

C. It stays the same.

We need to know about unitary method to solve the given question. Option () is correct, Recycling Center A processes aluminium faster; Recycling Center B's rate is about 24 pounds per hour.

Unitary method is a method to find out the value for a single quantity and then derive the value for the asked quantity. Here is this question we know Center A processes aluminium at a rate of 100 pounds per hour and center B processes  2 tons per week, we need to know who processes aluminium faster. To find the answer we need to first find how much aluminium center B processes per hour, to find that we need to use unitary method.

1 ton=2000 pounds

so, 2tons=2x2000=4000 pounds

Thus Center B processes 4000 pounds per week

A day has 24 hours, a week has 7 days, we know that the centers operate all day every day so number of hours in a week is

7x24=168 hours

Center B processes 4000 pounds in 168 hours

Center B processes 4000/168 pounds in one hour

Center B processes about 24 pounds in one hour

Therefore, we can see that Center A processes aluminium faster and Center B's rate is about 24 pounds per hour, thus option (2) is right.

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Answer:

9x²29x28 = 0

The answer is 211932=0

9x2 - 29x - 28 = 0

The answer is 29x=−10

Step-by-step explanation:

Answer:14 ft

Step-by-step explanation:hope it helps, brainliest? i could really use it

Point-slope: y - 9= -2(x - 2)

Slope-intercept form (Just in case you need it): y = -2x + 13

The slopes of the linear function f(x) = 4x-1  is 4 and of the given linear function g(x)  has  also slope 4 . The option that the slopes of f(x) and g(x) are same is correct.

The slope of a linear function is the measure of steepness of the line traced by given linear function.

If a linear function is given by line y = mx +c then the slope is m

If a linear function passes through two given points (x₁, y₁) and (x₂, y₂), then its slope is (y₂ - y₁)/(x₂ - x₁)

Given the function f(x) = 4x -1 then comparing it to the form f(x) = mx + c

Slope of f(x) = m = 4

If it is given that g(x) is increasing through (2,3) and (3,7)

Then the slope of g(x) = (7- 3)/(3-2) = 4/1 = 4

Therefore, Slopes of both f(x) ang g(x) is 4.

Thus, the slopes of f(x) and g(x) are the same.

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Answer:

The answer is they are the same. Just took the test Your welcome!

Step-by-step explanation:

The Perimeter of the composite figure = 44.2 units.

The perimeter of the composite figure = TU + UV + VW + WX + XQ + QR + RS + ST.

Length of TU = 3 units

Length of UV = 11 units

VW = 9 units

XQ = 5 units

QR = 2 units

Use the distance formula, d = [tex]\sqrt{(y_2 - y_1)^2 - (x_2 - x_1)^2}[/tex], to find the lengths of WX, RS, and ST.

W(-2, -6)

X(-5, -3)

R(-3, 2)

S(0, 0)

T(4, 5)

WX = √[(−5−(−2))² + (−3−(−6))²]

WX = √18 ≈ 4.2

RS = √(0−(−3))² + (0−2)²]

RS = √13 ≈ 3.6

ST = √[(0−4)² + (0−5)²]

ST = √41 ≈ 6.4

Perimeter of the composite figure = 3 + 11 + 9 + 5 + 2 + 4.2 + 3.6 + 6.4

Perimeter of the composite figure = 44.2 units.

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To find how many centimeters greater the length of the larger paper is than the length of the smaller paper, the lesser number of centimeters needs to be subtracted from the greater number of centimeters which gives the result that is 17.9cm. Etsuko is incorrect because 25.4 is greater than 7.5cm.

The mathematical operation that would be used to determine how much greater the larger paper is compared to the smaller paper is subtraction. Subtraction is the process used to determine the difference between two or more numbers. The sign that is used to represent subtraction is -.

To subtract the numbers, the length of the longer paper would be subtracted from the shorter paper.

Difference in the length of the papers = 25.4 -  7.5 = 17.9cm

Etsuko is wrong because instead of subtracting the lengths, she added the lengths. Addition is used to determine the sum of two or more numbers.

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Answer:

It's easy,

To find how many centimeters greater the length of the larger paper is than the length of the smaller paper, the lesser number of centimeters needs to be subtracted from the greater number of centimeters, which gives a result that is between 7.5 and 25.4. Etsuko is not correct because 25.4 cm is 17.9 cm more than 7.5 cm.

Step-by-step explanation:

*Wish you luck on the test*

If water's temperature increases 7°C each minute from an initial temperature of 21°C. Then the time taken by the water to reach 49 degree Celsius is 4 minutes.

Temperature defines the atmosphere hotness. And it is expressed in different scales as well as in different parameters like Celsius etc. It is measured through the device known as thermometer.

According to the question, larger amount of sodium chloride is dissolved in the heating water. And the given data states that the water temperature increases 7 degree Celsius every minute.

Initial temperature of water is 21 degree Celsius.

Let us assume, water reaches at 49° C after 'x' minutes.

As per question, every minute temperature increases as 7°C. So, the expression can be written as: (21 + 7x)°C

⇒ 21 + 7x = 49

⇒x = 4 minutes

Hence, the time taken to reach 49° C is 4 minutes.

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Answer:

It's True

Step-by-step explanation:

They both pass through the point 'U'ehich means they intersect.

The coordinate of the resulting point J' is (-4, -4).

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the Coordinates.

The point is given as;

⇒ J (4, -4)

Now, The rule of the reflection of a point across the y-axis is equal to

(x, y) ⇒ (-x, y)

Hence, The coordinate of the resulting point J' after reflection over the y - axis of point J (4, -4) is,

(4, -4) ⇒ (-4, -4)

Hence, The coordinate of the resulting point J' is (-4, -4).

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The question focuses on indices. Start by factorization of 162 and 32. Simplifying 32 yields 2^5 and 162 gives 3^4×2. Simplify the two expressions using the factors. Use the indices rule implying: b√a^c =a^(c⁄b)

∜162+3∜32

162= 81×2=3^4 ×2

32 = 2^5 = 2^4 ×2

∜(2×3^4 )+3∜(2^4×2)=∜(3^4 ) ∜2+3∜2^4 ∜2

3^(4⁄4)× ∜2+3×2^(4⁄4)×∜2 = 3×∜2+3×2∜2

3∜2+6∜2 = ∜2×(3+6) = 9∜2

= 9∜2  

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The required factorized expression is given as 3x²y + 12xy² + 3xy = 3xy(x + 4y + 3).

An incomplete equation is given we have to determine the missing terms.

The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.

Here,
The given equation,
_x²y +_y² + 9_ = 3x_(_+ 4y + _).
So, factorized expression is given as 3x²y + 12xy² + 3xy = 3xy(x + 4y + 3).

Thus, yhe required factorized  expression is given as 3x²y + 12xy² + 3xy = 3xy(x + 4y + 3).

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The value at intercept C(1) is 95.68 pounds

The estimated per capita consumption in the year 2010 will be 115.6 pounds

Part a:

Per capita consumption of all the poultry in a country is given by the function C(x) = 2.49x + 93.19

Finding intercept C(1):

For C(1) the value of x will be 1

C(1) = 2.49(1) + 93.19

C(1)  = 95.68

Hence, the value at intercept C(1) is 95.68 pounds

Part b:

Finding the per capita consumption in the year 2010:

where x will be 9, as the time period from 2001 to 2010 is 9 years

C(2010) = 2.49(9) +93.19

= 22.41 + 93.19

= 115.6

Hence, the estimated per capita consumption of all the poultry in the country will be 115.6 pounds in the year 2010

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the measure of angle A is 96° when A and B are vertical angles.

We are given the two vertical angles as:

A = (4x − 4)° and B = (5x – 29)°

We know that, vertical angles are equal to each other.

So, we get that:

4 x - 4 = 5 x - 29

5 x - 4 x = 29 - 4

x = 25

A = 4 x - 4

A = 4 ( 25 ) - 4

A = 100 - 4

A = 96°

Therefore, the measure of angle A is 96° when A and B are vertical angles.

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Fractions represent the parts of a whole or collection of objects. the equivalent  fractions to -(5/3) are -5/3, 5/-3.

Fractions represent the parts of a whole or collection of objects.

-(5/3) is a fraction, Actually it a improper fraction with negative sign.

The equivalent fractions are obtained by multiplying same sign or same number in numerator and denominator.

-(5/3)  is equivalent to -5/3

-(5/3)  is equivalent to 5/-3

-(5/3)  is not equivalent to 5/-3

-(5/3)  is not equivalent to -5/-3 because when negative and negative are multiplied the result will be positive but to be equivalent fraction it should be negative.

-(5/3)  is not equivalent to -(-5/3) because when negative and negative are multiplied the result will be positive but to be equivalent fraction it should be negative.

Therefore the equivalent fractions to -(5/3) are -5/3, 5/-3.

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The length of ribbon that remained is 3m and 90 cm which is calculated by subtracting the cut length from the total length of the ribbon.

An arithmetic operation called subtraction simulates the process of removing items from a collection.

Subtraction can mean eliminating or lowering physical and abstract quantities utilizing a variety of things, such as negative integers, fractions, irrational numbers, vectors, decimals, functions, and matrices, however it is typically linked with natural numbers in mathematics.

The total length of the ribbon is is 5 meters or 500 centimeters. The length of the piece of ribbon that was cut is 1 m 10 cm=110 cm.

Length of the ribbon that remained is calculated by subtracting the total length form the cut off length 500-110 = 390 centimeters.

390 centimeters= 3 meters and 90 centimeters.

So the length that remained is 3 meters and 90 centimeters.

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The number of 12 pages written by Great in 3 hours.

For the given question;

Time take by Greta to write total of 8 pages is 2 hours.

Use unitary method for solving;

2 hours --------> 8 pages.

Divide both side by 2.

1 hour -------> 4 pages.

Now, fore finding the number of pages written in 3 hours.

Multiply each side by 3.

3 hours ---------> 12 pages.

Thus, the number of pages written by Great in 3 hours are 12 pages.

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Answer:

x-x=29 answer is equal to 28and

Given the dimensions of the shape, the length of PR can be found to be 19.8 units.

The given triangle is an equilateral triangle which means that all the sides are equal.

That then means that:

PR = QR

So we can solve as:

2n + 9 = 7n - 18

Solving for n gives:

7n - 2n = 18 + 9

5n = 27

n = 5.4

The length of PR is therefore:

= 2n + 9

= 2 (5.4) + 9

= 19.8 units

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Hello There!

The answer you are looking for is **8.25**.

Explanation:

If you do 8.25*12, you will get 99.

```Fact checking:

8.25*2= 16.50

8.25*4= 33.00

8.25*6= 49.50

8.25*8= 66.00

8.25*10= 82.50

and finally 8.25*12= 99.00

Since it is in inches- it would be 8 1/4in. or 20.955cm.

Hope this helps :)

Ukiah

Answer: 0.121212121  

Step-by-step explanation:   [tex]\frac{99}{1}[/tex]=[tex]\frac{12}{x}[/tex]

Cross multiply

99x= 12

divide both sides by 99

[tex]\frac{99x}{99} =\frac{12}{99}[/tex]

99 cancel 99 leaving x =[tex]\frac{12}{99}[/tex]=[tex]\frac{4}{33}[/tex]

in decimal

x= 0.121212121

It will take Germaine to get the mountain bike 6.77 weeks (approximately)

let X represent the number of weeks it will take to save enough money

Money to buy a mountain bike = $367

He planned to save money every week from his paycheck  = $45

So far, He had saved money already to buy bike = $62

now the required amount to buy a mountain bike is

$367-$62 = $305

Number of weeks Germaine will take to get the mountain bike is

X = 305/45

X = 6.77 weeks (approx)

It will take Germaine to get the mountain bike 6.77 weeks (approximately).

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Answer:

Not Available

Step-by-step explanation:

Use the Venn diagram shown to list the set An C in roster form.

U

5

A 3

1

6

9

13

2

11

8

7

4

10

14

12

B

O A. (2, 3, 4, 6, 8, 9, 10, 11, 12, 13}