1. Draw the graph of y = 3 – x/2 using a table of points from x = -3 to 3.

A qualitative forecasting technique that is useful for identifying what consumers like and dislike about a product is Market research.

What methods are employed in a qualitative forecast?

The expert opinion approach, the Delphi method, and the market survey approach are the three main methods utilized in qualitative forecasting.

What are qualitative forecasting models, and when are they useful?

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Answer:

-3 X (x^2 - 8)

Step-by-step explanation:

put "the square of a number decreased by 8" in parentheses so when -3 is multiplied with that, it does not get multiplied with y^2 and -8.

anytime you see "a number" in a sentence, put it as a random variable, in this case, I decided it should be "x".

Answer:

The value of 1 tenth is less than the value of 1 ten

Step-by-step explanation:

1 tenth = 0.1
1 ten = 10

0.1 is way less than 10 so that is why 3 x 1/10 is less than 3 x 10. Even though the 3 is the same, 1/10 is less than 10 so that is why 3 x 1/10 has less value.

The correct responses for the points, segments, lines, planes, are as follows;

1. M, S, X, and Y

2. Two lines are; [tex] \overleftrightarrow{SX}[/tex], [tex] \overleftrightarrow{YR}[/tex]

3. [tex] \overline {MX}, \overline{MY}, \overline {MS}, \overline{MR}[/tex]

4. [tex]\overrightarrow{MT}[/tex]

5. S, M, T

6. T

7. [tex] \overline{MT}[/tex]

8. [tex] \overleftrightarrow{SX}[/tex]

9. [tex] \overleftrightarrow{SX}[/tex]

10. [tex] \overline{MR}[/tex]

11. A line

12. A plane

13. A point

14. A plane

15. A ray

16. A segment

Please find attached the drawing for the figures in questions 17, 18, 19,and 20

1. A point in Euclidean geometry is a location in space.

Four points are; M, S, X, and Y

2. A line has no thickness and extends indefinitely in both directions.

Two lines are;

[tex] \overleftrightarrow{SX}[/tex]

[tex] \overleftrightarrow{YR}[/tex]

3. Four segments are;

[tex] \overline {MX}, \overline{MY}, \overline {MS}, \overline{MR}[/tex]

4. A ray that has M as an endpoint is \overrightarrow{MT}

5. Three collinear points are; S, M, T

6. A point not on [tex] \overline{YR}[/tex] is T

7. A segment with points T and M as its endpoints is [tex] \overline{MT}[/tex]

8. A line that does not contain R is [tex] \overleftrightarrow{SX}[/tex]

9. A line containing M is; [tex] \overleftrightarrow{SX}[/tex]

10. A segment of lies on [tex] \overleftrightarrow{YR}[/tex] is MR

11. A toothpick suggests a line

12. A floor suggests a plane

13. The tip of a pin suggests a point

14. The water surface of a swimming pool suggest a plane

15. A beam of light from a laser suggests a ray

16. A fence pole suggests a segment

Please find attached the drawing for the figures in questions 17, 18, 19, and 20

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Answer:

The type of polygon that is formed is a Hexagon because of its 6 sides.

Step-by-step explanation:

When you graph all of these points into a coordinate grid it should look like this:

Step-by-step explanation:

or,(-6)=3(3-2x)

or,(-6)=9-6x

or,-6-9=-6x

or,-15=-6x

or,-15+6=x

or,-9=x

x=-9

Coordinates of the point that partitions the line into the given ratio is; (1, 5)

If the ratio dividing a line segment represents a:b, then the formula to divide  the line segment is;

Coordinates = {(bx₁ + ax₂)/(a + b), (by₁ + ay₂)/(a + b)}

From our question, we have the ratio as;

1:2. Thus; a = 1 and b = 2

Our coordinate of CD is; C(-1,7) and D(5, 1)

Thus;

x₁ = -1

x₂ = 5

y₁ = 7

y₂ = 1

Coordinates of the point that partitions the line into the given ratio is;

Coordinate = {(2*-1 + 1*5)/(1 + 2), (2*7 + 1*1)/(1 + 2)}

Coordinate = (3/3, 15/3) = (1, 5)

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Answer: Answer is 16 new releases and 22 classic movies.

Step-by-step explanation:

He'll buy 16 new releases and 22 classic movies.

Let x = number of new releases

Let y = number of classics.

The equation to solve the question will be:

20x + 8y = 500

When x= 16 and y = 22, thus will be:

= 20x + 8y

= 20(16) + 8(22)

= 320 + 176

= 496

Therefore, since this is the number closest to $500, therefore this will be the appropriate number of movies that he can buy.

In conclusion, he'll buy 16 new releases and 22 classic movies.

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Answer:

Caleb earns points on his credit card that he can use towards future purchases. He earns four points per dollar spent on flights, two points per dollar spent on hotels, and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 money than twice the amount of money spent on hotels. Find the amount of money spent on each type of purchase.

In linear equation,  the value of x in the equation is 20/11.

What in mathematics is a linear equation?

3/4 (8x-6) -2= 1/2-x

24x - 18 - 2/4 = x/2

24x - 20/4 = x/2

2(24x - 20) = 4x

48x - 40 = 4x

48x - 4x =40

44x = 40

x = 40/44

x = 20/11

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Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

2 ( [tex]\frac{1}{3^2}[/tex] )

= 2 ( [tex]\frac{1}{9}[/tex] )

= 2 × [tex]\frac{1}{9}[/tex]

= [tex]\frac{2}{9}[/tex]

Answer:

Piecewise

Step-by-step explanation:

It is basically made up of 2 linear functions

Answer Seven hundred and thirty thousand eight hundred twelve

Answer:

12

Step-by-step explanation:

There are 12 1/2's in 6.

To find how many 1/2's there are in 6, you have to divide 6 by 1/2.

6 ÷ 1/2

To divide by a fraction, you have to multiply by the reciprocal (reverse the numerator and denominator of a fraction).

6/1 × 2/1

6 × 2

= 12

Have a lovely rest of your day! :)

Answer:

37.5

Step-by-step explanation:

Answer: 37.5

Step-by-step explanation:

12.5% of 300=37.5

Scale factor for the drawing from actual park = 1/20

Area of the actual park = 1200 cm²

Area of a Rectangle. A = l × b. The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension

Length of the rectangular city park = 5 cm

Width of the rectangular park = 6 cm

Using scale factor 1 cm = 20 meters

Scale factor = Length of the park in drawing/ actual length of park

⇒1/20.

5/actual length of park = 1/ 20

Actual length = 5 × 20 = 100 meters

Actual width = 6 × 20 = 120 meters

Area of the rectangular park = length × width

square meters

Therefore, Scale factor from actual length to the length in drawing = 1 : 20

Area of the rectangular park = 1200 square feet

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Number of At-the-Door tickets Anna needs to sell to make her goal = 100

Anna is selling pre-sale and at-the-door tickets.

Let 'x' be the number of pre-sale tickets and 'y' be the number of at-the-door tickets.

Price of a pre-sale ticket = $10

Price of an at-the-door ticket = $20

Total price to be raised = $5000

So the equation corresponding is 10x+20y = 5000-----------(1)

Total number of people the venue can hold = 400

Thus the next equation is x+ y = 400---------(2)

From the graph the line with points (0,250) and (500,0) represent the equation (1) since 10 x 0 + 20 x 250 = 5000 and 10 x 500 + 20 x 0 = 5000.

The line with points (0,400) and (400,0) represent the equation (2) as 0+400 = 400 and 400+0 = 400.

So to find x and y we need to solve equations (1) and (2).

10 x (2) ⇒ 10x+10y = 4000-------(3)

Now subtract (3) from (1)

⇒ 10y = 1000

⇒ y = 100

Hence the number of At-the-Door tickets Anna needs to sell to make her goal = 100

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Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.

Descriptive statistics:- Descriptive statistics helps to describe, summarize and organize the set of data efficiently and in an informative way, so that it'll be easier to make conclusion about the data in order to make rational decisions. This method describes the characteristics of a dataset.

Example:- The average test score for the students of a particular class, gives descriptive sense of the typical scores.

There are three types of descriptive statistics-

Thus we can conclude that, those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.

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Answer:

The function is odd.

Step-by-step explanation:

A function is always odd when f(−x) = −f(x). In this case, that rule applies.

[tex]-f(x)=-(x^3+5/x)\\-f(x)=-x^3-5/x\\-x^3-5/x=-x^3-5/x = odd[/tex]

The absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The number expression is:

= 3.1 + (-6.3)

To find the absolute value of 3.1 + (-6.3):

= |3.1 + (-6.3)|

= |3.1 - 6.3|

= |-3.2|

= 3.2

Thus, the absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

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Answer:

እሺ እሺ አትጨነቅ ከፈለገ አይነግረኝም።

The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.

Given the 2 equations,

1)[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1

2)3x+4[tex]y^{2}[/tex]; for x=-3 and y=5

Equation 1

⇒[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1

⇒[tex](-2+5)^{2}[/tex]-1 {substituting x=-2 and y=1 }

⇒[tex]3^{2}[/tex]-1

⇒9-1

⇒8

Equation 2

⇒3x+4[tex]y^{2}[/tex]; for x=-3 and y=5

⇒3(-3)+4[tex](5)^{2}[/tex]  {substituting x=-3 and y=5 }

⇒-9+4(25)

⇒-9+100

⇒91

Therefore, The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.

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Answer:

The x is 2 and the y is 1. So, it's 1/2

Step-by-step explanation:

x = 2

y = 1

Slope goes y,x,

Each student on average has 6 books.

To find how many books on average each student has:

Therefore, each student on average has 6 books.

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Answer:

The Cobras

Step-by-step explanation:

I just took the test

Answer:the Cobras

Step-by-step explanation: