x^4+2x^2−63 solve by factoring group

Answer:

23400 x 8/100 = 1872 = the loss  

1872 : 12 = 156= the loss each month  

156/1872*100% = 8.33 % then round it

Answer:

The answer is 3864294.3

Step-by-step explanation:

(x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

here, we have,

Given the rule of transformation:

(x, y) → (x+2, y+3)

If we move horizontally 2 units to the right, 2 is added to the x-coordinate of any given point, and then 3 units up.

In other words,

(x, y) → (x+2, y+3) means Translation 2 units right and 3 units up.

For example,

Let say if we have the point A(4, 5)

Using the translation rule:

(x, y) → (x+2, y+3)

A(4, 5) → A'(4 + 2, 5 + 3) → A'(6, 8)

Therefore, the new position of A(4, 5) after translating 3 units right and 2 units up would be: A'(6,8).

Hence, (x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.

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Answer:

Yeah me too buddy :(

Step-by-step explanation:

Answer:

The numerator is x²+6x+5.

We need to first factorise the expression

The coefficient of x² is 1, and the constant term of the quadratic expression is 5.

the product of coefficient of x² and constant term=5

∴ we break the middle term, 6x, such that,  the product of the coeffcients of  the two terms is 5, while their sum is 6

∴ 6x=5x+x

Now, rewriting the expression,

x²+5x+x+5

Taking x as common factor in x² and 5x,

x(x+5)+x+5

Again, taking x+5 as the common factor,

(x+5)(x+1)

Now, replacing x²+6x+5 with (x+5)(x+6) in the expression,

(x+5)(x+1)/(x+2)

Hence the value of the expression is (x+5)(x+1)/(x+2)

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Answer:

16.8 pounds

Step-by-step explanation:

Given the following :

Body fat percentage = 12.1%

Weight = 139 pounds

How may pounds of the person's weight is made up of fat:

That is 12.1% of the person's entire body weight

Pound of person's weight composed of fat:

12.1% of 139

(12.1 / 100) × 139

0.121 × 139

= 16.819 pounds.

= 16.8 pounds

The number of possible ways you can distribute the balls among the three boxes so that each box contains at least one ball = 21

Here we have 3 empty boxes.

Let us assume that a, b and c be these empty boxes.

and the total number of balls = 8

We need to distribute the balls among the three boxes so that each box contains at least one ball.

This means that a + b + c = 8

By allotting 1 ball to each box so that no box remains empty.

We get an equation a + b + c = 5

So, the possible number of ways to by allotting 1 ball to each box so that no box remains empty would be:

⁷C₂

Using combination formula:

⁷C₂

= 7! / 2!(7 - 2)!

= 21

Therefore,  the required number of ways = 21

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Answer:

$109.14

Step-by-step explanation:

This is correct!

Answer:

D/ $109.14

Step-by-step explanation:

i did the quiz

Answer:

1. x=6 y=7

hope that helps!

Answer:

Using a simple step-step expression we can identify that the right answer would be aprox 300 miles.

step-by-step explanation:

Make the problem into an expression.

2in=75miles

2/75=8/x

75*8=600

600=2x

x=300

Answer:

105 minutes

Step-by-step explanation:

\(1 \frac{3}{4} = 1 hour + \frac{3}{4} hour\)

1 hour = 60 minutes

\(\frac{3}{4} \times 60 = 3 \times 15 = 45 minutes\)

\(Therefore \ , \ 1 \frac{3}{4} = 60 + 45 = 105\ minutes\)

The values of \(1\dfrac{3}{4}\) hours in minutes is 105 minutes.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given data as :

It takes \(1\dfrac{3}{4}\) hours to cook a large chicken in the oven.

⇒  \(1\dfrac{3}{4}\) hours = 1 hours + 3/4 hours

∵ 1 hour = 60 minutes

∴ 3/4 hours = (3/4)×60 = 45 minutes

Substitute the values in above equation,

⇒  \(1\dfrac{3}{4}\) hours = 60 minutes + 45 minutes

⇒  \(1\dfrac{3}{4}\) hours = 105 minutes

Hence, the values of \(1\dfrac{3}{4}\) hours in minutes is 105 minutes.

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The value of the double integral (4x − 9y) dA over the region D bounded by the circle with center at the origin and radius 2 is -48.

To evaluate the double integral (4x − 9y) dA over the region D bounded by the circle with center at the origin and radius 2, we need to use polar coordinates.

In polar coordinates, the equation of the circle with center at the origin and radius 2 is given by r = 2. Therefore, the limits of integration for r are 0 and 2, and the limits of integration for θ are 0 and 2π.

The element of area in polar coordinates is given by dA = r dr dθ. Therefore, we can rewrite the double integral in terms of polar coordinates as follows

∬D (4x − 9y) dA = ∫₀² ∫₀²π (4r cosθ - 9r sinθ) r dθ dr

= ∫₀² r² (4cosθ - 9sinθ) dθ dr [Using the properties of integrals]

The integral with respect to θ is zero for sinθ and cosθ over a full period. Therefore, we have

∬D (4x − 9y) dA = ∫₀² r² (4cosθ - 9sinθ) dθ dr

= 4∫₀² r² cosθ dθ dr - 9∫₀² r² sinθ dθ dr

Integrating with respect to θ, we get

∫₀² r² cosθ dθ = [2r² sinθ]₀²π = 0

∫₀² r² sinθ dθ = [-2r² cosθ]₀²π = 4r²

Substituting these values in the original equation, we get

∬D (4x − 9y) dA = 4∫₀² r² cosθ dθ dr - 9∫₀² r² sinθ dθ dr

= 4(0) - 9(4r²) dr

= - 36 ∫₀² r² dr

= -36 [r³/3]₀² = -48

Therefore, the value of the double integral is -48.

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The given question is incomplete, the complete question is:

Evaluate the double integral. (4x − 9y) dA, D is bounded by the circle with center the origin and radius 2

It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

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The amount that Stephen owed after 2 weeks is $100.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, Stephan borrowed $125 to buy an electric scooter and the function f(x) = 125 - 12.5x

can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan.

The amount after 2 weeks will be:

f(x) = 125 - 12.5x

= 125 - 12.5(2)

= 125 - 25

= $100

The amount is $100.

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Complete question

Stephan borrowed $125 to buy an electric scooter. The function f(x) = 125 - 12.5x

can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan. What is the amount owed after 2 weeks?

Answer:

A)

B)

H)

I)

Step-by-step explanation:

let me know if needed

Since the player makes 95 out of 140 free throws, the probability that he makes the next free throw is:

Answer: 67.86%

By looking at the data under PURCHASE BEHAVIOR, we can see that the consumers in this segment purchase a backpack at a range of purchase every five years. The Option E is correct.

We have several factors that can determine a consumer's purchase interval, including:

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Answer:

Step-by-step explanation:

answer is c. once every year

Significant zeros are zeros that contribute to the precision of a number, while nonsignificant zeros are placeholders or indicate the magnitude of a number.

Significant zeros are zeros that are considered significant and contribute to the precision of a number. They are located between nonzero digits or at the end of a number with a decimal point.

For example:

In the number 4,503, the zeros between 4 and 3 are significant.

In the number 0.00856, the zeros after the decimal point and before the 8 are significant.

Nonsignificant zeros, on the other hand, are zeros that do not contribute to the precision of a number and are used for placeholders or to indicate the magnitude of a number. They are typically located at the beginning or end of a number without a decimal point. Examples include:

In the number 0420, the zero at the beginning is nonsignificant.

In the number 0.003, the zeros before the decimal point is nonsignificant and serve as placeholders.

It's important to note that the significance of zeros can vary depending on the context and the rules of significant figures or decimal places being used in a specific calculation or measurement.

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Answer:

the 3rd option

Step-by-step explanation:

the x intercept is where the graph crosses. The x axis. Here the slope is negative one half. Count rise over run between two points. Use the ones on the grid

Answer:

- 8

Step-by-step explanation:

Given

x² - 64 = 0 ( add 64 to both sides )

x² = 64 ( take the square root of both sides )

x = ± \(\sqrt{64}\) = ± 8

Solutions are x = 8 and x = - 8

Answer:

6 and 11

If I am wrong I apologize but I hope this helps

Answer:

Melissa is 12 and Jennifer is 5.

Step-by-step explanation:

If x is melisas age then Jennifers is x - 7.

In 4 years time jennifer will be x - 3 years and melissa will x + 4 years old

and from the given information;

x - 3 = 1/2(x + 4) + 1

Solving:

x - 3 = 1/2(x + 4) + 1

x - 1/2x = 2 + 1 + 3

1/2x = 6

x = 12.

So now, Melissa is 12 and Jennifer is 12-7 = 5.

Answer:

3h - 6

Step-by-step explanation:

→ Minus 2 from both sides

h - 2 = d / 3

→ Multiply both sides by 3

3h - 6 = d

Step-by-step explanation:

h=d/3+2

h=d/5

d=5h

please mark brainiest

Answer:

Step-by-step explanation:

85-x=100

85 represents sarah's hw

x represent Emily's hw

100 represents total completion

Answer:

85 + x

C is the answer

Step-by-step explanation:

Answer:

The answer is option D.

Equation of a line is y = mx + c

m = slope

c = intercept on y axis

y-4= -2/3 (x-6)

y = -2/3x + 4 + 4

y = -2/3x + 8

From the above equation

m= -2/3

Since the lines are perpendicular the slope of the line is the negative inverse of the original line.

so m = 3/2

Equation of the line using point (-2 , -2) is

y + 2 = 3/2(x+2)

y = 3/2x + 3 - 2

y = 3/2x + 1

That's the last option

Hope this helps

The linear equation with the given characteristics is given by:

\(y = \frac{3}{2}x + 1\)

It is given by:

y = mx + b.

In which:

When two lines are perpendicular, the multiplication of their slopes is -1, hence:

\(-\frac{2}{3}m = -1\)

\(2m = 3\)

\(m = \frac{3}{2}\)

Then:

\(y = \frac{3}{2}x + b\)

It passes through the point (-2, -2), hence:

\(-2 = \frac{3}{2}(-2) + b\)

\(-3 + b = -2\)

\(b = 1\)

Hence, the equation is:

\(y = \frac{3}{2}x + 1\)

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Answer:

ABD

Step-by-step explanation:

There is a significant difference in the mean search times between the two websites, as indicated by the p-value, which is larger than 0.05 but less than 0.10.

It is calculated by adding up all the values in the set and then dividing the sum by the total number of values. The mean is often used as a measure of central tendency, which describes the typical or representative value in a set of data.

This is a two-sample independent means t-test problem.

The null hypothesis is that there is no difference between the mean times needed to access flight information for the two major airlines, and the alternative hypothesis is that there is a difference.

Assuming the conditions for inference are met (random sampling, normality of the population, and independence between the two samples), we can calculate the t-value and the p-value for the test.

The formula for the t-value in a two-sample independent means t-test is:

t = (x1 - x2) / √[ (s1²/n1) + (s2²/n2) ]

Plugging in the given values, we get:

t = (2.5 - 2.1) / √[ (0.8²/20) + (1.1²/20) ]

t = 1.21

Using a t-table with 38 degrees of freedom (df = n1 + n2 - 2), we find that the p-value is between 0.10 and 0.05.

Therefore, the correct answer is c:

There is a significant difference in the mean search times between the two websites, as indicated by the p-value, which is larger than 0.05 but less than 0.10.

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We have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.

If you are running a regression with 19 input variables and want to choose a model including a subset of those variables, there would be a total of 524,288 possible regression models that can be formed.

To determine the number of possible regression models, we need to consider the power set of the input variables. The power set of a set includes all possible subsets that can be formed from the original set, including the empty set and the set itself. In this case, the power set would represent all the possible combinations of including or excluding the 19 input variables in the regression model.

The number of elements in the power set can be calculated by raising 2 to the power of the number of input variables. Since we have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.

It's important to note that while there are a large number of possible regression models, not all of them may be meaningful or useful in practice. Selecting the most appropriate subset of variables for a regression model typically involves considerations such as statistical significance, correlation analysis , domain knowledge, and model evaluation techniques to identify the most predictive and relevant variables for the specific problem at hand.

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The solution to the first logarithmic equation is x = 3. The solution to the second logarithmic equation is x = 84.

For the first logarithmic equation, we have: log(5x) = log(2x + 9)

By setting the logarithms equal, we can eliminate the logarithms:5x = 2x + 9 and now we solve for x:

5x - 2x = 9

3x = 9

x = 3

Therefore, the solution to the first logarithmic equation is x = 3.

For the second logarithmic equation, we have: -6 log3(x - 3) = -24

Dividing both sides by -6, we get: log3(x - 3) = 4

By converting the logarithmic equation to exponential form, we have:

3^4 = x - 3

81 = x - 3

x = 84

Therefore, the solution to the second logarithmic equation is x = 84.

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