Label the slope for each line.
Miss Muffet's Spider

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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Answer:

EE.

Step-by-step explanation:

x+1>x+8. 1+8. ∅

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

Ernie Brody had $3,620 on deposit at Savings Bank on July 1. The money earns interest at a rate of 6.5% compounded is $58.83

What is compounded?

to combine into a single unit; combine: to mix medications to create a new medication. to create something by putting pieces, things, etc. together; construct: to combine elements of various previous plans to create a new one.The interest on a loan or deposit calculated based on the initial principal, and the collective interest from previous periods is called compound interest. It is basically 'interest earned on money that was previously earned as interest'.

Given that, principal=$3620, rate of interest=6.5% and time period=9 months.

Here, principal compounded quarterly

Thus, Amount
[tex]\$ 3,620 \times 6.5 \% \times \frac{1}{4}=\$ 58.83[/tex]

The first period interest is product of the principal, the annual interest rate and the interest period (expressed in years).

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Ernie Brody had $3,620 on deposit at Savings Bank on July 1. The money earns interest at a rate of 6.5% compounded is $58.83

What is compounded?
To combine into a single unit; combine: to mix medications to create a new medication. to create something by putting pieces, things, etc. together; construct: to combine elements of various previous plans to create a new one.The interest on a loan or deposit calculated based on the initial principal, and the collective interest from previous periods is called compound interest. It is basically 'interest earned on money that was previously earned as interest'.

Given that, principal=$3620, rate of interest=6.5% and time period=9 months.
Here, principal compounded quarterly
Thus, Amount
$3,620x6.5%x1/4=$58.83
The first period interest is product of the principal, the annual interest rate and the interest period (expressed in years).

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There are 7776 different outcomes possible when 5 dice of different colors are rolled.

The ratio of favorable outcomes to the total number of outcomes of an event is said to be the probability of that event.

P(E) = n(E)/n(S)

It is given that, there are 5 dice with different colors.

There are 6 outcomes for each die rolling. That is the number coming up on each die when it is rolled (1, 2, 3, 4, 5, 6).

So, for five dice when rolled, the number of possible outcomes is

n = 6 × 6 × 6 × 6 × 6

⇒ n = 7776

Therefore, 7776 different outcomes are possible.

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Answer:

ANS:- No solution

Step-by-step explanation:

-7x + 7 + 12x = 5x + 7

5x + 7 = 5x + 7

0 = 0

Students do not likes to fly, can drive is 0.13. Therefore, the completed  relative frequency table is given below.

Given that, on a recent survey, students were asked if they like to fly and if they can drive.

Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario.

From the table

Likes to fly

Row totals = Can drive + Cannot drive

0.32+Cannot drive =0.70

Cannot drive =0.38

Can drive:

Column totals=Likes to fly + Do not likes to fly

0.32 + Do not likes to fly=0.45

Do not likes to fly=0.13

Cannot drive:

Column totals=Likes to fly + Do not likes to fly

0.38 + Do not likes to fly=0.55

Do not likes to fly=0.55-0.38

= 0.17

Row totals = 0.13 + 0.17

= 30

Students do not likes to fly, can drive is 0.13. Therefore, the completed  relative frequency table is given below.

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A function is a relation where each conceivable input value results in exactly one potential output value. The phrase "the output is a function of the input" frequently used.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

An example of a rule is a function, which produces one output for a single input. Alex Federspiel is the picture's author. Y=X2 is an illustration of this. You only get one output for y if you enter anything for x. The fact that x is the input value leads us to say that y is a function of x.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).

   3 ,-3 is an input value of the function

   0 is an output value of the function in this graph

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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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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 value of X is 67°.

Hence, The value of X is 67°.

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The complete question is:

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.

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:

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!

(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:

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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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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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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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

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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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:

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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Answer:

113

Step-by-step explanation:

30° + 37° + angle c = 180° (Sum of all angles of a triangle is 180°)

or, 67° + angle c = 180°

or, angle c = 180° - 67°

or, angle c = 113°

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

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.

In  a right angled triangle, the opposite and adjacent sides are the sides proportional to the two acute angles of the triangle.

In every triangle, the sum of angles is 180⁰.  In a right angled triangle, one of the angles is = 90⁰.

The side facing the right angle is called the hypothenuse side.

The sum of the other two angles is 90⁰. That each of the angles is acute angle.

The sides proportional to the acute angles are the opposite and adjacent.  

If an angle is given in one of the angle, the side proportional to the given angle is called the opposite while the other one is called the adjacent.

if the angle is changed to the other angle, the side proportional to the given angle becomes the opposite while the other is the adjacent.

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