what is 2(x + 4) equivalent to

The solutions of the quadratic equation  x² - 3x - 18 = 0 are

x = -3 and x = 6

What is Factorization method?

Factorization of a quadratic equation means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.

According to the given question:

The given quadratic equation is x² - 3x - 18

Applying factorization by splitting middle term method

x² - 3x - 18 = 0

x² - 6x + 3x - 18 = 0

Grouping the terms to get

x(x - 6) + 3(x - 6) = 0

(x + 3)(x - 6) = 0

Hence the solutions are x + 3 = 0 and x - 6 = 0

The solutions of the quadratic equation  x² - 3x - 18 = 0 are

x = -3 and x = 6

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If a < b, then multiplying both sides of the inequality by -4 will reverse the direction of the inequality. The resulting inequality will be:

-4a > -4b

This is because multiplying a negative number by a negative number results in a positive number, and multiplying a positive number by a negative number results in a negative number. Therefore, the inequality must be reversed when both sides are multiplied by a negative number.

Answer:

it is 180

Step-by-step explanation:

Answer: y= 1/2x + 2

Step-by-step explanation:

The linear equation is y= mx + b

The y-intercept is located at (0,2), so b equal to 2

Let's pick two points ( 0,2) ( 2, 1)

To find the slope, we need to find the rise over run.

Rise decrease by 1, and run increase by 2, so the slope is 1/2

So the equation is y= 1/2x +2

In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

The definition of univariable data is "one variable," and it is generally understood to be one sort of data. It is one of the straightforward methods for data analysis. The data in univariable data only include one variable.

The cat's weight, for instance, is 10, 15, 25, 27, 30, 35, and 40.

The variable is hence "Cat weight."

The definition of bivariate data is "Two Variable," and it essentially consists of two different forms of data. It is a straightforward type of statistical analysis.

Only one variable is analysed at a time in univariate statistics. Two variables are compared in bivariate statistics. Multiple variables are compared using multivariate statistics.

In a bivariate analysis, the correlations between the two variables are measured. When there are more than two variables in the data set, a more complicated statistical analysis technique called multivariate analysis is utilized.

Therefore,

In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

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Answer:

check image

Step-by-step explanation:

do the cross method for each one for example for the first one do 11x20 which equals 220 then divide that by 22 so 220/22 that gives you 10

The main advantage of the discussion forum is that it allows the exchange of information, the disadvantage is that it requires a very good organization.

The main advantages of this forum are:

The main disadvantages are:

Therefore , We have proved AE ≅ CF in the given quadrilateral .

Two figures or objects are said to be congruent in geometry if they are the same size and shape, or if one is the mirror image of the other.

Here,

Statement                                                  

1)AB≅CD , AB║CD ,BF⊥AC and                    

DE⊥AC

2)ABCD  is a parallelogram                  

3)  AD≅BE , AD║BE

4)ΔDAE≅ ΔBCF

5)ΔDAE≅ ΔBCF are right  Δ's

6)  ΔDEA≅ ΔBFC

7)  ΔADE≅ ΔCBF

8)AE ≅ CF

Reasoning

1)Given

2)if a quadrilateral has 1 pair of opposite side both side ≅, ║, then it is a parallelogram

3)In a  parallelogram opposite side are ≅, ║          

4)Alternate interior angles   Δ's are congruent.

5)⊥ segments forms right Δ's.

6)right Δ's. are  ≅.

7)AAS congruency theorem

8)Cpetc

Therefore , We have proved AE ≅ CF in the given quadrilateral .

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(0,-3) is the best approximation for the relative minimum of the polynomial function graphed below.

A two-dimensional number line, like two perpendicular axes, can be used as a coordinate system. This coordinate system is typical: The x-axis and y-axis are the names of the horizontal and vertical axes, respectively. The origin is the point at which all lines in a coordinate system intersect.

The coordinates that are shown on the x and y axes give rise to their respective names. The vertical y-axis is aligned with the horizontal x-axis. They are referred to as axes because they are perpendicular to one another.

From the graph it is shown that,

In the x axis the value is between 0 and 1 , and the y-axis is in between 0 to -3 then the answer is: (0,-3)

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The complete question is as follows:

Answer:

2/45

Step-by-step explanation:

Given problem,

→ (4/9) - (4/10)

Let's solve the problem,

→ (4/9) - (4/10)

→ (40/90) - (36/90)

→ (40 - 36)/90

→ 4/90

→ 2/45

Hence, answer is 2/45.

Answer:

EE.

Step-by-step explanation:

x+1>x+8. 1+8. ∅

Answer:

Hi!

The answer would be:

f(x)= 2x^3 - 7x^2 - 13x + 3

I hope this helped you! :)

Answer: x= -8

Step-by-step explanation:

A vertical asymptote is a line cut in the middle of both graphs!

It can't be x= 0 or y= 0  because it is not the middle of both graphs!

It can't be y= -8 because it is not cut in the middle.

So x=-8 is the right answer!

Step-by-step explanation:

-a/b is slope so here .on comapring slope is 3

after multiply by 2 ans. is 6

x Intercept is where it cut the x-axis so equation of line will have slope 6

X interceptor remain the same

The estimate of the quotient expression using compatible numbers is 100

From the question, we have the following parameters that can be used in our computation:

7 | 497

This quotient expression from the question can be expressed as

497 ÷ 7

From the question, we are to make use of compatible numbers

This means that we have the following approximation

497 = 500

7 = 5

Next, we estimate the quotient using approximated values

So, we have

497 ÷ 7 = 500 ÷ 5

Evaluate the quotient

497 ÷ 7 = 100

Hence, the estimate is 100

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The area of the figure is 50.24 units squared.

The figure above is a quarter of a circle. A circle divided into 4 equal parts is a quarter of a circle. Therefore, the area of the figure can be represented as follows:

Since, the figure is a quarter of a circle, the product of the area of a circle and 1 / 4 is the area of the figure.

Hence,

area of the figure = πr² / 4

where

Therefore,

r = 8

area of the figure =  3.14 × 8² ÷ 4

area of the figure =  3.14 × 64 × 1 / 4

area of the figure =  200.96 / 4

area of the figure = 50.24 units squared

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Answer: 2.73 is the answer

Step-by-step explanation:

The first step to start the is dividing both sides by 3, so the correct option is the second one.

The linear equation in slope-intercept form is:

y = (1/2)*x + 1

To do that, we need o isolate the variable y in one of the sides of the linear equation:

3*(x + 2) = 6y

We can divide both sides by 3 to get:

x + 2 = (6/3)*y

x + 2 = 2y

Now, we can divide both sides by 2, so we will get:

(x + 2)/2 = y

y = (x + 2)/2

y = (1/2)*x + 1

The equation in the slope-intercept form is:

y = (1/2)*x + 1

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Answer:

x = -8

y = -15

Step-by-step explanation:

-3x + y = 9

y = x - 7

-3x + x - 7 = 9

-2x - 7 = 9

-2x = 16

2x = -16

x = -8

y = -8 - 7

y = -15

Answer:

B. 50

Step-by-step explanation:

Let x be the number of coupons sent to existing members.

The number of coupons sent to potential members is 4 times the number of coupons sent to existing members, or 4x.

The total number of coupons sent is the sum of the number of coupons sent to existing members and the number of coupons sent to potential members, or x + 4x = 5x.

The club sent out 250 coupons, so 5x = 250.

Dividing both sides of the equation by 5, you get x = 250 / 5 = 50.

Therefore, the club sent 50 coupons to existing members.

Answer:

For every 3 tablespoons of cocoa, Nate uses 1 tablespoon of sugar.

Step-by-step explanation:

Since the sugar is halved, the cocoa should be halved as well. 6/2 is 3.

The value of X is 67°.

Hence, The value of X is 67°.

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The complete question is:

In the given Isosceles trapezoid, the value of x and y is 12 and 5 respectively.

An isosceles trapezoid, or isosceles trapezium in British English, is a convex quadrilateral in Euclidean geometry that has a line of symmetry cutting through one pair of opposite sides.

It is an uncommon instance of a trapezoid.

Alternately, it can be described as a trapezoid with equal amounts of both the base angles and the legs.

Note that the second requirement, or the fact that it lacks a line of symmetry, prevents a non-rectangular parallelogram from being an isosceles trapezoid.

Two opposite sides (the bases) of each isosceles trapezoid are parallel, while the remaining two sides (the legs) are each the same length (properties shared with the parallelogram).

So, solve for x and y:

For x:

4x - 27 = x + 9

3x = 36

x = 36/3

x = 12

For y:

3y + 19 = 11y - 21

8y = 19 + 21

8y = 40

y = 40/8

y = 5

Therefore, in the given Isosceles trapezoid, the value of x and y is 12 and 5 respectively.

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The value of the matrix multiplication A x B is matrix C

The value of B is   [tex]B = \begin{pmatrix}x\\ y\end{pmatrix} = \begin{pmatrix}8\\ 8\end{pmatrix}[/tex]

What is multiplication of matrices?

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

The number of shirts sold by club A = 2

The number of notebooks sold by club A = 3

The number of shirts sold by club B = 1

The number of notebooks sold by club B = 1

Now , the value of matrix A is

[tex]A = \begin{pmatrix}2&3\\ 1&1\end{pmatrix}[/tex]

The value of matrix B is

[tex]B = \begin{pmatrix}x\\ y\end{pmatrix}[/tex]

The product of matrix A and B will be C , and the value of matrix C is

[tex]C = \begin{pmatrix}40\\ 16\end{pmatrix}[/tex]

So , the equation is

A x B = C

Substituting the values in the equation , we get

[tex]\begin{pmatrix}2&3\\ 1&1\end{pmatrix}\begin{pmatrix}x\\ y\end{pmatrix}=\begin{pmatrix}40\\ 16\end{pmatrix}[/tex]

On simplifying the equation , we get

[tex]\begin{pmatrix}2x+3y\\ x+y\end{pmatrix}=\begin{pmatrix}40\\ 16\end{pmatrix}[/tex]

So , the equations are

2x + 3y = 40   be equation (1)

x + y = 16   be equation (2)

Multiply equation (2) with 2 , we get

2x + 2y = 32   be equation (3)

Now , subtracting equation (3) from equation (1) , we get

y = 8

Substituting the value for y in equation (2) , we get

x + 8 = 16

Subtracting 8 on both sides of the equation , we get

x = 8

Therefore , the value of x is 8 and y is 8

Hence , the value of matrix B is   [tex]B = \begin{pmatrix}x\\ y\end{pmatrix} = \begin{pmatrix}8\\ 8\end{pmatrix}[/tex]

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Point (6,2) is part of the function.

What are functions?

In mathematics, a function is a procedure that uniquely connects the value of one variable to the value of another variable (or variables).

Here, we have the plotted points as:

(0,3), (2,7), (3,1), (5,4), (7,6)

Assuming from the above, we get a sinusoid graph as below.

Now if we try to plot the provided points, we see that only (6,2) satisfies the curve.

Hence, (6,2) is a point that is part of the function.

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Answer: x= 11/12

Step-by-step explanation:

-6(10x-10) - 5

-60x +60 - 5

-60x + 55

Subtract 55 on both sides

-60x = -55

x= 55/60

x= 11/12

Answer:

As a fraction: 7988004000/7

As a decimal: 1141143428.571429

Step-by-step explanation:

Multiply (1998)(1999)=3994002

Multiply (3994002)(2000)=7988004000

As a fraction it will be 7988004000/7

Turn it into a decimal!

Just divide 7988004000 by 7 or 7988004000/7

This should be: 1141143428.571429