Let L1 be the line containing points (8, -4) and (2, -5), and let L2 be the line containing points (10, 9) and (15, -21). Find the slope of each line.

The Correct answer is  D) Most students read more often than they draw.as the median of the "read" plot is lower than the median of the "draw" plot.

Based on the box plots, we can see that:

The median for the "read" data is around 8 days per month, and the interquartile range (IQR) is between 4 and 12 days.

The median for the "draw" data is around 12 days per month, and the IQR is between 8 and 16 days.

So, we can conclude that:

A) Most students read less than 12 days a month. This is true, since the median for the "read" data is below 12 days per month, and the box plot shows that most of the data is concentrated in the lower half of the range.

B) Most students draw at least 12 days a month. This is not true, since the median for the "draw" data is around 12 days per month, and the box plot shows that there is a considerable amount of data below that median.

C) Most students draw more often than they read. This is not true, since the median for the "read" data is lower than the median for the "draw" data.

D) Most students read more often than they draw. This is true, since the median for the "read" data is lower than the median for the "draw" data, and the box plot shows that most of the "read" data is concentrated in the lower half of the range, while most of the "draw" data is concentrated in the upper half of the range.

The box plots below show data from a survey of students under 14 years old. They were asked on how many days in a month they read and draw. Based on the box plots, which is a true statement about students? pg780337 A Most students read less than 12 days a month. B Most students draw at least 12 days a month. C Most students draw more often than they read. D Most students read more often than they draw.

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Answer:

108=2r-21+7r-6

Step-by-step explanation:

hope this helps you ;)

Answer:

One bowl has 1 yellow, 1 red, and 2 green apples. The other bowl has 5 each of boysenberries, strawberries, blueberries, and blackberries.

Step-by-step explanation:

The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

The conditions of the line to be intersecting, parallel, and coincident are explained below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The types of lines are as follows:

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Work Shown:

\(\left(3\text{x}^2\text{y}^5\right)^3\\\\\left(3\right)^3\left(\text{x}^2\right)^3\left(\text{y}^5\right)^3\\\\27\text{x}^{2*3}\text{y}^{5*3}\\\\27\text{x}^{6}\text{y}^{15}\\\\\)

Explanation:

The outer exponent 3 is "distributed", so to speak, to each term inside the parenthesis. This isn't the actual distribution rule. But we can think of it as such. This is what's happening in the second step.

So we'll cube the coefficient 3 to get 3^3 = 27, and we'll cube x^2 to get x^6, and finally cube y^5 to get y^15.

I used the rule \((a^b)^c = a^{b*c}\) for the third step.

Answer:

y = 4

Step-by-step explanation:

Since the line if parallel to the x-axis, regardless of the value of x, y will be equal to 4.  In general, then, the points on the line are (x,4), where x is any value, including 1.

If  the cost for using 35 HCF IS 61.83. . the cost for using 19 HCF of water is :$68.31.

Straight line: y=mx+b, m=slope, b=y-intercept

Let y=cost of using 19 HCF water

Let x =amount of water used

m=∆y/∆x =(61.83 - 32.13) / (35-19)

m=∆y/∆x =29.7 /16

m=∆y/∆x = 1.85625

m=∆y/∆x = 1.86  ($/HCF) (approximately)

equation: y=1.86x+b

Solving for b using point (19, 32.13)

32.13 =1.86×19+b

32.13=35.34+b

b=35.34 -32.13

b=3.21

equation:

f(x)=1.86x+3.21

f(25)=1.86×35+ 3.21

= 68.31

Cost of using 35 HCF water= $68.31

Therefore the cost price is $68.31.

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Answer:

did you understand ? do I have to solve all?

Answer:

\(y=\frac{1}{6}x+6\)

Step-by-step explanation:

Let \((x_1,y_1)\rightarrow(-6,5)\) and \((x_2,y_2)\rightarrow(6,7)\)

Determine slope

\(m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{7-5}{6-(-6)}\\ \\m=\frac{2}{6+6}\\ \\m=\frac{2}{12}\\ \\m=\frac{1}{6}\)

Use either ordered pair to find the y-intercept

\(y=mx+b\\\\7=\frac{1}{6}(6)+b\\\\7=1+b\\\\6=b\)

Final equation

\(y=\frac{1}{6}x+6\)

Answer:

-1

Step-by-step explanation:

:)

1) write slope formula:

       rise        y2-y1

m= -------   =-----------

       run         x2-x1

put your problem in the y and x your problem

     1 - 2            -1

m=---------=  -----------=-1

      2 - 1            1

Also you don't even need need to do this entire you can just see what it is decreasing  or increasing by it it is a whole number

Answer:

7/2

Step-by-step explanation:

7/2= 3.5 so it is terminating

1. The quantity of the birthday cake eaten by Jason and Mike is a. 5/6 or 83.3%.

2. The quantity of the pizza left after Lily has eaten 3/8 is b. 5/8.

3. The number of green t-shirts is b. 3.

The various numbers are determined using the mathematical operations of subtraction, addition, multiplication, and division.

These basic mathematical operations result in the difference, sum, product, and quotient, respectively.

The quantity of the birthday cake = 1 or 6/6

The amount consumed by Jason = 3/6

The amount consumed by Mike = 2/6

The total quantity consumed by Jason and Mike = 5/6 (3/6 + 2/6)

The quantity of the pizza = 1 or 8/8

The amount consumed by Lily = 3/8

The amount left unconsumed = 5/8 (1 - 3/8)

The total number of t-shirts = 10

The fractional size of blue t-shirts = 7/10

Since the rest are green, the fractional size of the green t-shirts = 3/10 (1 - 7/10)

3/10 of 10 = 3

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Answer:

4 lb/month

Step-by-step explanation:

loss of 144 lb in 36 months

144/36 = 4

Answer: 4 lb/month

To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

Answer:

The answer is "0.00088"

Step-by-step explanation:

Many ways of selecting r articles of n,\(\to ^nC_r = \frac{n!}{(r! \times (n-r)!)}\)

P(wins the player) = \(\frac{1}{\text{Any combinations of possible numbers}}\)

\(= \frac{1}{^{20} C_3}\\\\\)

\(= \frac{1}{\frac{20!}{(3!\times 17!)}}\\\\= \frac{1}{1140}\\\\= 0.00088\)

The number of zeros of the polynomial expression given as y(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2 is 5

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

The polynomial expression is given as

f(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2

The degree of the above polynomial expression is

degree = 5

The degree of a polynomial expression is the number of zeros of the polynomial

This means that

Zeros = 5

Hence, the number of zeros of the polynomial expression given as y(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2 is 5

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Answer:

plug in those values into y = mx +b

m = the slope

b= y-intercept

the equation of the line is:

y = 1/5x +10

Step-by-step explanation:

I hope this helped :)

Answer:

50 degrees.

Step-by-step explanation:

80-30 is 50. Count down 3 from 8 and then add a 0 if you really need help.

Answer:

x = 33

Angle Y = 105°

Explanation:

The sum of the interior angles of a polygon with 5 sides is equal to 540°. So, we can write the following equation:

4x + 113 + (3x+8) + (2x + 9) + 113 = 540

So, solving for x, we get:

4x + 113 + 3x + 8 + 2x + 9 + 113 = 540

9x + 243 = 540

9x + 243 - 243 = 540 - 243

9x = 297

9x/9 = 297/9

x = 33

Then, using the value of x, we can calculate the value of the angle with measure (2x + 9) as:

(2x + 9) = 2(33) + 9

(2x + 9) = 75

Finally, this angle and the angle Y are supplementary, the sum of them is equal to 180°, so the measure of angle Y can be calculated as:

(2x + 9) + Y = 180°

75° + Y = 180°

Y = 180° - 75°

Y = 105°

So, x is equal to 33 and the measure of angle Y is 105°

Answer:

16.666%

Step-by-step explanation:

100/6=16.66

Answer:

A) x < -2 or 2 3

Step-by-step explanation:

I'm correct if I'm rwong

Answer: x= 24 and y= 73

Step-by-step explanation:

we know

The opposite interior angles are equal and

The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees.
the sum of the interior angles of a parallelogram is 360 degrees.

So 107 + y = 180

180 - 107 = 73

Y = 73

y is equal to its opposite angle so

X can be found by 73 = 3x + 1

Subtract 1 from both sides

73 - 1 = 3x +1 -1

Simplify

72 = 3x

Divide both sides by 3 to solve for x

72/3 = 3/3x

x=24

Check your work by adding the 4 angles together to equal 360

107 + 107 + 73 + 73 = 360

360 = 360

They equal so your solution is correct

Answer:

The answer is 218 dollars because you need to add the total costs of everything and divide it by the number of players.

Step-by-step explanation:

Answer:

Step-by-step explanation:

to know the amount of an individual

we need to find each value one by one

boots : 960

         = 960/15   (divide by 15 as there are 15 girls)

         = 64

The cost of Boots to an individual is 64

dress : 1350

         = 1350/15

         = 90

The cost of Dress to an individual is 90

ribbons : 105

             = 105/15

             = 7

The cost of Ribbons to an individual is 7

tights : 180

         = 180/15

        = 12

The cost of tights to an individual is 12

warm up : 675

             = 675/15

             = 45

The cost of warm up to an individual is 45

One team member spend on all items :

                                                                = 65 + 90 + 7 + 12 + 45

                                                                = 219

One team member spend on all items : 219

Answer:

Step-by-step explanation:

Probability of getting pair of 10's: 1/221

We have the following information available from the question is:

There are four suits with 13 cards in each from ace through to king.

Two cards one after another are drawn from a deck of 52 cards.

We have to find the probability that he draws a pair of tens.

Now, According to the question:

We know that:

In a pack of 52 cards, there is 4 tens:

Then, Probability of getting 10 in first attempt:

= 4/52

After drawn first ten, There is 51 cards are remaining in a pack of cards and no. of ten's = 3

Probability of getting 10 in 2nd attempt :

= 3/51

Probability of getting pair of 10's:

\(=\frac{4}{52} (\frac{3}{51} )=\frac{12}{2652}\)

=> 1/221

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Answer:

\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

Here are the steps to simplify the expression \(\sf\:5x\sqrt{3x} - 2x\sqrt{3x} - x\sqrt{3x} \\\):

1. Combine like terms that have the same radical term \(\sf\:\sqrt{3x} \\\):

\(\sf\:(5x - 2x - x)\sqrt{3x} \\\)

2. Simplify the coefficients:

\(\sf\:2x\sqrt{3x} \\\)

Therefore, \(\sf\:5x\sqrt{3x} - 2x\sqrt{3x} - x\sqrt{3x}\) simplifies to \(\sf 2x\sqrt{3x} \\\).