parents have raised major concerns over a school district's proposed experiment to examine the effectiveness of removing math tracks and instead placing all students into one open math class. in response, the school district has decided not to randomly assign students to be placed in tracked or non-tracked math classes. instead, the school district will allow parents to decide whether they want their children to be in the tracked or non-tracked group. which methodological problem is very likely under this scenario? g

Answers

Answer 1

Since the school district will allow parents to decide whether they want their children to be in the tracked or non-tracked group, the type of design that the school district has implemented is  a. matched design.

What is a matched design?

A matched group design is an experimental layout where the study subjects are selected because their variables match.

Therefore, In a matched pairs design, study participants are matched according to important variables or shared traits that are pertinent to the study's subject. The second step involves assigning one member of each pair to the control group and the other to the experimental group.

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See full question below

Parents have raised major concerns over a school district's proposed experiment to examine the effectiveness of removing math tracks and instead placing all students into one open math class. In response, the school district has decided not to randomly assign students to be placed in tracked or non-tracked math classes. Instead, the school district will allow parents to decide whether they want their children to be in the tracked or non-tracked group.

which methodological problem is very likely under this scenario

Select one:

a. matched design

b. pre-post design

c. nonequivalent comparison design

d. multiple time-series design


Related Questions

(x^4/7^-8)^7

Solve asap pls​

Answers

Answer: x=2

Step-by-step explanation: (x^4/7^-8 )^7

(4x/-56)^7 (7×8=56)

4x/-8

x/-2

x = 2



a bakery uses 3 3/5 cups of oats to make 2 4/7 pounds of oatmeal cookies how many cups of oats are required per pound of cookies

Answers

Answer: 7/5 or 1 2/5

Step-by-step explanation:

Ok so the bakery uses 3 3/5 cups cups of oats for 2 4/7 POUNDS of cookies.

You need to find the unit price.

So to get from 2 4/7 to 1, you need to divide 2 4/7 by 2 4/7

You need to do the same thing to 3 3/5 cups.

3 3/5 as an improper fraction is 18/5

2 4/7 as an improper fraction is 18/7

Now to divide you need to keep, change, and flip

keep the 18/5, change the sign to multiplycation, and flip the 18/7 to 7/18

18/5*7/18=7/5

7/5 or 1 2/5 pounds of outs are required to make 1 pound of oatmeal cookies

C)
to make the total value equal to 2. Re-write the statement 19 + 7 + 2 x 6 + 1 by including two pairs
of brackets

Answers

If you place brackets or parenthesis around the numbers 19+7 and 2*6+1. It would appear as follows: (19+7)/(2*6+1) = 26/13 = 2. It takes special parenthetical treatment to express the mathematical expression 19+7/26+1 to get a result of 2.

What is expression?

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being similar to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.

Here,

y=19+7/2×6+1

becomes

y=(19+7)/(2×6+1)

y=26/(12+1)

y=26/13

y=2

If you enclose the numbers 19+7 and 2*6+1 in parenthesis or brackets. It would look like this: (19+7)/(2*6+1) = 26/13 = 2. The mathematical expression 19+7/26+1 must be expressed with special parenthetical treatment to yield the number 2.

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Evaluate if x = 4. x² + x = [?]​

Answers

Answer: The answer is 0.

X = 0 when evaluated.

Step-by-step explanation:

x^2 - 2x

The value of x^2 - 2x for x = 4 is calculated as below

Now, substituting x=4 in the given equation, we get
x^2 - 2x = 4^2 - 2 x 4
= 16 - 8
= 8
Therefor, the answer is 8

3a. Sketch the line that goes through the points A(4,3) and B( 8, 1)Find the slope and the equation of line AB3b. Find the length of segment AB3c. Find the midpoint of segment AB

Answers

Hello! First, let's remember:

We can write a point as a cartesian coordinate (x, y).

The exercise has given two points, A(4,3) and B(8,1).

a. Slope:

To calculate the slope of a line, we can use the formula below:

[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let's consider A equal to the first point (4, 3) = (x1, y1), and B will be the second point (8, 1) = (x2, y2). Replacing these values in the formula:

[tex]\text{Slope}=\frac{1_{}-(3)_{}}{8-(4)}=\frac{-2}{4}=-\frac{1}{2}[/tex]

b. Lenght of segment AB:

To find this length, we have to use another formula. Now we will calculate the distance between two points:

[tex]\text{Distance}=\sqrt[]{(x_2-x_1)^2+(y_2_{}-y_1_{})^2}[/tex]

Still considering A (4, 3) = (x1, y1), and B (8, 1) = (x2, y2), let's replace the values in the formula:

[tex]\begin{gathered} \text{Distance}=\sqrt[]{(8_{}-4_{})^2+(1-3_{})^2} \\ \text{Distance}=\sqrt[]{(4_{})^2+(-2_{})^2} \\ \text{Distance}=\sqrt[]{(16^{}+4)^{}} \\ \text{Distance}=\sqrt[]{20} \\ \text{Distance}=2\sqrt[]{5} \end{gathered}[/tex]

c. Midpoint of segment AB:

This value will be the medium point. To calculate it, we'll use another formula:

[tex]x_m=(\frac{x_1+x_2}{2}+\frac{y_1+y_2_{}_{}}{2})[/tex]

Still considering the same values for (x1, y1) and (x2, y2), let's replace them:

[tex]\begin{gathered} x_m=(\frac{8+4_{}}{2},\frac{3+1_{}}{2}) \\ \\ x_m=(\frac{12_{}}{2},\frac{4_{}}{2}) \\ \\ x_m=(6,2) \end{gathered}[/tex]

The midpoint of segment AB will be at point X (6, 2).

You can see this line represented in a cartesian plan below:

Which equation has no solution?

Answers

Answer:

The answer is the third one down

Step-by-step explanation:

l5-3xl = -8

Absolute value cannot equal a negative number.

Step-by-step explanation:

l5-3xl = -8

the | | is absolute value to it so it cant be negative number

Solve the equation 5x = 85 for x.

−17
17
−90
80

Answers

x = 17

Step-by-step explanation:

5x = 85

x = 85/5

x = 17.

Hence, option (b) is correct answer

Answer: x=17 the answer is B

Hope this helped

Step-by-step explanation:

Find the measure of the missing arc (dont worry about the degree symbol)

Answers

The formula to calculate the missing arc is,

[tex]m\angle T=\frac{1}{2}\times m\angle arcTS[/tex]

where,

[tex]m\angle arcTS=146^0[/tex]

Therefore,

[tex]\begin{gathered} m\angle T=\frac{1}{2}\times146^0=73^0 \\ \therefore m\angle T=73^0 \end{gathered}[/tex]

Hence, the answer is

[tex]\begin{equation*} m\angle T=73^0 \end{equation*}[/tex]

The vertices of △ABC are A(2, −3), B(−3, −5), and C(4, 1). If (x,y)--> (x-4, y-1), give the vertices of △A′B′C′.

Answers

Answer:

A' = (-2, -4)

B' = (-7, -6)

C' = (0, 0)

Step-by-step explanation:

Vertices of triangle ABC:

A = (2, -3)B = (-3, -5)C = (4, 1)

Given mapping rule:

(x, y) → (x - 4, y - 1)

This notation tells you that the x-coordinate is translated 4 units to the left, and the y-coordinate is translated 1 unit down.

Substitute the coordinates of each point into the mapping rule to find the vertices of triangle A'B'C':

⇒ A' = (2 - 4, -3 - 1) = (-2, -4)

⇒ B' = (-3 - 4, -5 - 1) = (-7, -6)

⇒ C' = (4 - 4, 1 - 1) = (0, 0)

Dr. Choi just started an experiment. He will collect data for days. How many hours is this?

Answers

The data collected in [n] days is collected in 24n hours.

What is the SI unit of time?

The SI unit of time is Seconds. In 1 second, there are (1/60) minutes.

Given is Dr. Choi who just started an experiment and he will collect data for days.

Assume that he collects the data for [n] number of days. In one day, we have 24 hours. Therefore, in [n] number of days, there will be total of 24n hours.

Therefore, the data collected in [n] days is collected in 24n hours.

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Greg is at his house he gets in his car drives north 8.9 miles and stops at a store then he turns around and drives south 7.7 miles to his friends house how far is the friends house from Greg’s houses

Answers

The distance of the friends house from Greg’s houses is 1.2 miles.

How to illustrate the information?

From the information illustrated, Greg is at his house he gets in his car drives north 8.9 miles and stops at a store then he turns around and drives south 7.7 miles to his friends house how

The distance will be the difference between the miles that are given.

This will be:

= 8.9 miles - 7.7 miles

= 1.2 miles

The distance is 1.2 miles.

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What is the slope of the line through the points (6,5) and (4, 10)?
m=

Answers

The slope of the line through the points (6,5) and (4, 10) exists -5/2.

What is meant by the slope of a line?

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively. where "m" represents a line's slope. So, the slope of a line is tan.

Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

Let the two points are (6, 5) and (4, 10)

(x1, y1) = (6, 5) and (x2, y2) = (4, 10)

The equation of slope of the line through the points (x1, y1) and (x2, y2) = y2 - y1 / x2 - x1

substitute the values in the above equation, and we get

= 10 - 5 / 4 - 6

= 5 / -2

Therefore, the slope of the line through the points (6,5) and (4, 10) exists -5/2.

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General MathematicsProblem:What sum would have to be invested at 9% conpounded annually to provide an ordinary annuity at ₱8,000 per year for 5 years?

Answers

Given that a future value annuity of 8,000 is accrued at 9% compounded annually, the present value of the annuity is evaluated as

[tex]\begin{gathered} PV=P(\frac{1-(1+r)^{-n}}{r})\text{ ----- equation 1} \\ \text{where } \\ PV\text{ }\Rightarrow present\text{ value of the annuity} \\ P\Rightarrow value\text{ of each payment} \\ r\Rightarrow interest\text{ rate} \\ n\Rightarrow period \end{gathered}[/tex]

Thus,

[tex]\begin{gathered} P=8,000 \\ r=9\text{\%}=\frac{9}{100}=0.09 \\ n=5 \\ PV\text{ is unknown} \\ \end{gathered}[/tex]

Substitute the above value into equation 1, to solve for PV

[tex]\begin{gathered} PV\text{ = 8000(}\frac{1-(1+0.09)^{-5}}{0.09}) \\ \Rightarrow8000\times\frac{1-1.09^{-5}}{0.09} \\ =31117.21 \end{gathered}[/tex]

Hence, the sum to be invested is 31117.21

Which graph represents data used in a linear regression that produces a correlation coefficient closest to -1?

Answers

What does the letter "L" stand for in the simulation?

Answer: d

Step-by-step explanation: ion know man but i looked it up and got it right

Give an example of a percent problem involving the simple interest formula. Then solve your problem.

Answers

The example of the simple interest problem is: What will be the simple interest on $2500 invested at an interest rate of 6% for 2 years?

What is simple interest?

Calculating the amount of interest that will be owed on a sum of money at a certain rate and for a specific period of time is possible using simple interest. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Solution for the above problem is:

The formula to calculate simple interest is:

[tex]S.I. = P \times I \times T[/tex]

Here, S.I. is simple interest, P = principal amount, I = interest rate, T = time

Given in the question:

P = $2500

I = 6% = 0.06 (in decimals)

T = 2

Putting the value in the question:

S.I. = 2500(0.06)(2)

S.I. = 300

Therefore, the simple interest is $300.

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4x > 28 solve the inequality for x and simplify your answer as much as possible

Answers

Answer:

x > 7

Step-by-step explanation:

x = 28 ÷ 4

x > 7

that's it

Hey there!


4x > 28
DIVIDE 4 to BOTH SIDES

4x/4 > 28/4

SIMPLIFY it

x > 28/4

x > 7


It is an open circle started at 7 & it’s going to the left of the number line


Therefore, your answer should be:

x > 7


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Find the perimeter pf the regular polygon.
5 (x+2)
7x+4

Answers

The perimeter of the regular polygon is 108 units.

How to find the perimeter of a regular polygon?

A regular polygon is a polygon that has all its sides equal to each other.

Therefore,

5(x + 2) = 7x + 4

5x + 10 = 7x + 4

5x - 7x = 4 - 10

-3x  = -6

x = -6 / -3

x = 2

The perimeter of a regular polygon is the sum of the whole sides of the polygon.

Therefore,

each side of the regular polygon = 7(2) + 4

each side of the regular polygon = 14 + 4

each side of the regular polygon = 18

Hence the regular polygon has 6 sides

perimeter of the regular polygon = 18  × 6

perimeter of the regular polygon = 108 units

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Emma is scrapbooking. She has 9 inches of paper and needs to cut it into 2/5 inch strips of paper. how many whole strips will she be able to make?

Answers

ok

I erased the answer but it is 22 whole strips

The United States flag has a height : width ratio of 10 : 19. If a U.S. flag is 25 inches high, what is its area?

Answers

The area of the given flag is 1187.5 square inches.

Given that, the United States flag has a height : width ratio of 10 : 19.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Let the sum of Height and width of flag be x.

Now, 10+19=29

⇒ 10/29 ×x = 25

⇒ 10x=29 × 25

⇒ x=72.5

So, width = 72.5-25 =47.5

Area of flag = Length × Width

= 25 × 47.5

= 1187.5 square inches

Therefore, the area of the given flag is 1187.5 square inches.

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arlett is playing a video game. She spends 900 minerals to create 18 workers. Each worker costs the same number of minerals.

Write an equation to describe the relationship between m, the amount of minerals, and w, the number of workers.

Answers

The required equation is m/w = 900/18

What is meant by an equation?

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. Differential equations are equations in which one or more functions and their derivatives are involved. They are solved by locating a function expression that does not use derivatives. Differential equations are used to represent processes with variable rates of change in fields such as physics, chemistry, biology, and economics.

The required equation is m/w = 900/18

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product of (-12)(-8)

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{GUIDE TO FOLLOW: }[/tex]

• [tex]\large\textsf{2 negatives equal positive}[/tex]
• [tex]\large\textsf{2 positives equal positive}[/tex]
• [tex]\large\textsf{1 negative \& 1 positive equal negative}[/tex]
• [tex]\large\textsf{1 positive \& 1 positive equal negative}[/tex]


[tex]\large\textsf{SOME OPERATIONS MAY BE DIFFERENT THAN OTHERS!}[/tex]


[tex]\large\textsf{ANYWHO, LET US ANSWER THIS QUESTION, SHALL WE? }[/tex]

[tex]\mathsf{(-12)(-8)}[/tex]

[tex]\mathsf{= 12(8)}[/tex]

[tex]\mathsf{= 96}[/tex]


[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{96}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

PLS HELP, 50 POINTS + BRAINLY FOR CORRECT ANSWER!!!

Answers

Slope of line A is -1/3. Slope of line B is -1. Slope of Line C is -5/4
-1/3 - slope A
-1 - Slope B
-5/4 - Slope C


According to the United States Treasury Department, the U.S. national debt was 1.815 x 10^13 dollars on September 30, 2015. On September 29,
2005, the national debt was 4.974 x 10^12 dollars. Find the amount of increase in the national debt from September of 2005 to September of 2015.
Write a sentence describing the increase in the national debt from 2005 to 2015 using scientific notation and using standard form.

Answers

The increase in the national debt from 2005 to 2015 using scientific notation is 1.3176 × 10^13.

What is scientific notation?

Scientific notation simply means a way of expressing numbers that are either too large or too small.

The U.S. national debt was 1.815 x 10^13 dollars on September 30, 2015 and in September 29,

2005, the national debt was 4.974 x 10^12 dollars.

The increase will be the difference between the two notations. This will be:

= 1.815 x 10^13 - 4.974 x 10^12

= 1.3176 × 10^13

The increase is 1.3176 × 10^13.

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The required respective increase in the national debt of America for the period 2005 to 2015 is 1.3176 × 10¹³.

As of the given condition,
According to the United States Treasury Department, the U.S. national debt was 1.815 x 10^13 dollars on September 30, 2015. On September 29, 2005, the national debt was 4.974 x 10^12 dollars.

Here,
The required increase in the debt is evaluated as the arithmetic difference of the debt in the years 2015 and 2005.

So.
Increase in debt = 1.815 × 10¹³ - 0.4974 × 10¹³ = 1.3176 × 10¹³

Thus, the required respective increase in the national debt of America for the period 2005 to 2015 is 1.3176 × 10¹³.

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A barge is being towed by two tugboats, using ropes with force vectors as shown.

Answers

SOLUTION

From the question, we are given

[tex]\begin{gathered} F_1=(11,000,5000) \\ F_2=(14,500,-8,000) \end{gathered}[/tex]

Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as

[tex]\begin{gathered} a.b=|a||b|cos\theta \\ so,\text{ we have } \\ cos\theta=\frac{a.b}{|a||b|} \end{gathered}[/tex]

But writing the forces in vector form, we have

[tex]\begin{gathered} F_1=11,000i+5000j \\ F_2=14,500i-8,000j \end{gathered}[/tex]

Applying the formula above, we have

[tex]\begin{gathered} cos\theta=\frac{a.b}{|a||b|} \\ cos\theta=\frac{(11,000)(14,500)+(5000)(-8000)}{\sqrt{11,000^2+5000^2)\sqrt{14500^2+(-8000)^2}}} \\ cos\theta=\frac{159,500,000-40,000,000}{\sqrt{121,000,000+25,000,000}\sqrt{210,250,000+64,000,000}} \\ cos\theta=\frac{119,500,000}{\sqrt{146,000,000}\sqrt{274,250,000}} \\ cos\theta=\frac{119,500,000}{12,083.04579\times16560.4952} \\ cos\theta=\frac{119,500,000}{200,101,221.806675} \\ cos\theta=0.5971977 \end{gathered}[/tex]

Now, theta becomes

[tex]\begin{gathered} \theta=cos^{-1}0.5971977 \\ \theta=53.3305 \end{gathered}[/tex]

hence the answer is option B, 53 degrees

SOLUTION

From the question, we are given

[tex]\begin{gathered} F_1=(11,000,5000) \\ F_2=(14,500,-8,000) \end{gathered}[/tex]

Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as

[tex]\begin{gathered} a.b=|a||b|cos\theta \\ so,\text{ we have } \\ cos\theta=\frac{a.b}{|a||b|} \end{gathered}[/tex]

But writing the forces in vector form, we have

[tex]\begin{gathered} F_1=11,000i+5000j \\ F_2=14,500i-8,000j \end{gathered}[/tex]

Applying the formula above, we have

[tex]\begin{gathered} cos\theta=\frac{a.b}{|a||b|} \\ cos\theta=\frac{(11,000)(14,500)+(5000)(-8000)}{\sqrt{11,000^2+5000^2)\sqrt{14500^2+(-8000)^2}}} \\ cos\theta=\frac{159,500,000-40,000,000}{\sqrt{121,000,000+25,000,000}\sqrt{210,250,000+64,000,000}} \\ cos\theta=\frac{119,500,000}{\sqrt{146,000,000}\sqrt{274,250,000}} \\ cos\theta=\frac{119,500,000}{12,083.04579\times16560.4952} \\ cos\theta=\frac{119,500,000}{200,101,221.806675} \\ cos\theta=0.5971977 \end{gathered}[/tex]

Now, theta becomes

[tex]\begin{gathered} \theta=cos^{-1}0.5971977 \\ \theta=53.3305 \end{gathered}[/tex]

hence the answer is option B, 53 degrees

Tiana made lemonade for a party. Her family drank half of the lemonade. After the party, she gave one-third of the remaining lemonade to her neighbors. If Tiana has 210 ounces of lemonade remaining after the party and giving some away to her neighbors, how many ounces of lemonade did she start with? Show your work.

Answers

The amount of lemonade Tina made in the starting is 630 ounces.

Given that:-

Fraction of lemonade drank by her family = 1/2

Fraction of lemonade given to neighbors = 1/3 of remaining

Amount of lemonade left with her at the end = 210 ounces

We have to find the amount of lemonade Tina made in the starting.

Let the amount of lemonade Tina made in the starting be 6x.

Hence,

Amount of lemonade drank by her family = (1/2)*6x = 3x

Remaining lemonade = 6x - 3x = 3x

Amount of lemonade given to neighbors = (1/3)*3x = x

Remaining lemonade = 3x - x = 2x = 210 ounces

Hence,

x = 210/2 = 105 ounces

Amount of lemonade Tina made in the starting = 6x = 6*105 = 630 ounces.

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HOW ARE THESE GRAPHS THE SAME AND HOW ARE THEY DIFFERENT

Answers

In this case, we must analyze the graphs to find the solution.

Step 01:

Graph A

Dollars vs Months

If Months = 4 ===> 400 Dollars

Graph B

Months vs Dollars

If Dollars = 4 ===> 400 Months

If Months = 4 ===> The dollar amount is imperceptible on the graph.

The answer is:

The graphics are different.

In this case, we must analyze the graphs to find the solution.

Step 01:

Graph A

Dollars vs Months

If Months = 4 ===> 400 Dollars

Graph B

Months vs Dollars

If Dollars = 4 ===> 400 Months

If Months = 4 ===> The dollar amount is imperceptible on the graph.

The answer is:

The graphics are different.

I need help!
Use the given information to select the factors of f(x). f(4)=0 f(-1)=0 f(3/2)=0. Make sure to select all correct answers for full credit.

Answers

The given information of the factors f ( x ) helped to get the following correct options:

( x + 1 ) ⇒ f ( -1 )( x - 4 ) ⇒ f ( 4 )( 2x - 3 ) ⇒ f ( 3/2 )

What is a function in math?

The term function as used n math refers to a relation consisting of variables. the variables are of two major types which include

The dependent variableThe independent variable

Substituting the functions we have:

f (-1 ) = ( 1 - 1 ) = 0

f ( 4 ) = ( 4 - 4 ) = 0

f ( 3/2 ) = (3 * 2/3 - 3 ) = 0

Other options fail to give the desired result of zero.

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Solve the inequality and graph the solution on the line provided.
3x+17_< 41

Answers

So if your problem is: 3x + 17 (less than or equal to sign) 41

Your answer should be: x _< 8

(The “<“ is on top of the underline btw)

The sign between x & 8, should be: “less than or equal to” sign.

And your point on the graph should go form right to left. Starting on right side “8”, then proceeding to the negative side

Check the graph below that I provided

jackson bikes 2 miles in 15 mins at that rate how many miles will a bike in 45 mins

Answers

Let's use Cross-multiplication:

2mi ------------------------>15min

x mi------------------------->45min

So:

2/x = 15/45

Solving for x:

Multiply both sides by x:

x*(2/x) = x* 15/45

2 = 15x/45

Multiply both sides by 45:

45*2 = 45*(15x/45)

90 = 15x

Divide both sides by 15:

90/15 = 15x/15

6 = x

x = 6mi

Which graph represents the reflection of AABC over the line y = 0?
-54-3 -2 -1
S ON
CH
-3
LO
*
C
A
2 3
A
B
12
X

Answers

Answer:

The graph represents the reflection of triangle ABC over the line y=0 in graph (C).

The coordinates of the triangle ABC are:

A(1, -1), B(4, -1) and C(3, -3).

The rule of reflection over the line y = 0 is:

(x, y)   ⇒   (x, -y)

So, we have:

A(1, -1)   ⇒    (1, 1),

B(4, -1)  ⇒    (4, 1)

C(3, -3)  ⇒  (3, 3).

By comparing the above points to the list of options, the correct graph is a graph (c)

Step-by-step explanation:

hope this helps I hope

The graph C represents the reflection of triangle ABC over the line y = 0

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The coordinates of the triangle ABC are:

A(1, -1), B(4, -1) and C(3, -3).

The rule of reflection over the line y = 0 is:

(x, y)   ⇒   (x, -y)

So, we have:

The coordinates after applying rule

A(1, -1)   ⇒    (1, 1),

B(4, -1)  ⇒    (4, 1)

C(3, -3)  ⇒  (3, 3).

By comparing the above points to the list of options, the correct graph is a graph (c)

Hence, the graph C represents the reflection of triangle ABC over the line y = 0

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