Which system of inequalities is shown in the graph?
y<3 and y>2/3x+1
y<3 and y<2/3x+1
y>3 and y>2/3x+1
y>3 and y<2/3x+1

Answer:3/5

Step-by-step explanation:

(y2-y1)/(x2-x1)

(2-(-1))/(6-1)=3/5

Answer:

10) 1/2 lao per minute

11) 15 grams per serving

Step-by-step explanation:

10)

laps per minute

The laps are increasing by 1 as the minutes are increasing by 2

11)

The grams are increasing by 15 as the servings are increasing by 1

Answer:

a) 15

b) 270

Step-by-step explanation:

a)

(√5)² = 5

(√3)² = 3

This is due to the square root and to the power of 2 cancelling each other out if that makes sense. It's the same with (√3)²

So all you're actually doing is 5 × 3 which is 15

b)

It's basically the same except (³√9)³ is cube(d) root and to the power of 3

(³√9)³ = 9

(√30)² = 30

So you do 9 × 30 = 270

:)

Answer: it’s B

Step-by-step explanation: Look at the graph clearly

and you will see the value of x and y

Answer:

2nd equation

Step-by-step explaination:

1st. -7≠-2(3)

2nd. Sastifies all

3rd. -10≠-3(4)

4th. -4≠-2(2)-3

Answer:

28.27 sq. units or 9π sq.

Step-by-step explanation:

The abscissa or x-coordinate of any point on Y-axis is zero.

Which line is the x-coordinate?

Two parallel lines, known as axes (pronounced AX-eez), that are perpendicular to each other make up a coordinate grid. Typically, the term "x-axis" refers to the horizontal axis. The y-axis is the common name for the vertical axis.

The ordinate and abscissa are other names for the x-axis and y-axis, respectively. These two axes can be used to find or represent any point on the coordinate plane as an ordered pair of the form (x,y).

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

In order to represent the equation in y-intercept (y=mx+b) form, the slope and y-intercept must be included. The slope is the ratio of the y-to-x change. Draw a sloping triangle connecting the two spots you find on the line.

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Therefore the solution of this question is Sam can draw 2 lines of reflection.

If a figure is reflected in a line or a point, the image and preimage are consistent. A reflection converts each point in a figure into an image along a predetermined line. Line of Reflection refers to the fixed line.

To determine the quantity of lines that will reflect a rectangle back onto itself.

Due to the fact that the line of reflection is the perpendicular bisector of the segment connecting a point with its image. The perpendicular bisector of a side must be the line of reflection if one side of the rectangle is to map to itself.

A rectangle has two distinct perpendicular bisectors of its sides, leading to two lines of reflection that map a rectangle to itself.

Therefore Sam can draw 2 lines of reflection.

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The solution for f(11) in the function when the function f(x) = 12|x + 8| is 228

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

f(x) = 12|x + 8|

The above equation is an absolute value equation

An absolute value equation has the following representation

f(x) = a|x - h| + k

So, we have the following representation

f(x) = 12|x + 8|

Also from the question, we have

f(11)

This means that the value of x is 11, and we calculate f(x) when x = 11

Substitute the known values in the above equation, so, we have the following representation

f(11) = 12|x + 8|

So, we have the following equation

f(11) = 12|11 + 8|

There are constants to add or subtract to both sides of the equation

Also, there are factors to multiply or divide from both sides of the equation

So, we have the following representation

f(11) = 12|19|

Solving further, we have

f(11) = 12 * 19

Evaluate the products

f(11) = 228

Hence, the solution is 228

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The round-off of the number 4⁸/₉ will be 5. The correct option is C.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.

The given number is 4⁸/₉. The round-off of the number will be done as,

4⁸/₉ = 4.88888888

The nearest number will be 5.

Therefore, the round-off of the number 4⁸/₉ will be 5. The correct option is C.

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Answer:

a) CE=PR

b) TR=FE

c) <F=<T

d) <P=<C

e) RPT=ECF

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The given statement is true all else being equal, the further the t statistic falls from 0, either in the positive or negative direction, the more likely it is that the difference between two population averages is statistically significant.  

The T Statistic is used in a T test when you are deciding if you should support or reject the null hypothesis. It’s very similar to a Z-score and you use it in the same way: find a cut off point, find your t score, and compare the two. You use the t statistic when you have a small sample size, or if you don’t know the population standard deviation.

Here we have the statement All else being equal, the further the t statistic falls from 0, either in the positive or negative direction, the more likely it is that the difference between two population averages is statistically significant.

And we need to identify whether the statement is true or not.

As per the definition of t statistics, we have identified that the t statistic falls from 0. which states that is goes on the negative direction.

Hence, the more likely it is that the difference between two population averages is statistically significant.

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Answer:

y = -2x - 4

Step-by-step explanation:

y = mx +b is the slope intercept form of a line.  The m is the slope and the b is the y intercept.

The y intercept is where the line crosses the y axis.  It crosses at the point (0,-4).  The -4 is where the line crosses the y axis.  It is the b.

The slope is the change in y over the change in x.  To go from point (0,-4) to the point (-2,0)  You go up 4 units and the left 2 units.  Up is positive and left is negative. 4/-2 which simplifies to -2.  This is your m.

The area of the new parallelogram is A = n²bh

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

b = base of the original parallelogram.

h = height of the original parallelogram.

n = Factor of the products

The area of a parallelogram from the base and the height is calculated as

A = bh

In this case, we have

Each dimension of a parallelogram is multiplied by a positive number n.

This means that

Base = bn

Height = hn

So, we have

Area = bn * hn

Evaluate

A = n²bh

Hence, the area expression is A = n²bh

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Answer:

f(x) = ³√(x–1) + 4

f-¹(x) = (x + 1)³ + 4

Step-by-step explanation:

i hope this helped

The table is attached below.

What are table entries?

Entities are gathered at tables. A group of properties makes up an entity. Each object may contain up to 252 name-value pairs for its properties.

From the information given, we can make a table to display all the options available for Michael to choose clothing options.

The table is attached as follows:

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There are 12 clothing options for Michael to choose from in his closet. By the fundamental principle of counting, the possible number of options is calculated.

The fundamental principle of counting states that an operation/event can be performed in 'm' ways and a second operation/event can be performed in 'n' ways. Then there are (m × n) ways for the two operations to be performed together.

It is given that,

Michael is having three shirts - yellow, green, and orange; two pairs of shorts: navy, gray and two footwear: tennis shoes and sandals.

So, we can write

the number of shirts = 3

the number of shorts = 2

the number of footwear = 2

Then, according to the fundamental principle of counting, all these are multiplied to get the total number of ways that he can wear them together.

I.e., 3 × 2 × 2 = 12

Therefore, there are 12 combinations for him to choose one among these.

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When a triangle rotated 180 degree counterclockwise, the new coordinates of the triangle would be (3,-1) (-2,-4) and (-5,3)

We know that if we rotate a point P(x, y) with 180 degrees counterclockwise about the origin then the translated point would be P'(-x,-y).

A given triangle having vertice at (-3,1) (2,4) and (5,-3) is rotated 180 degree counterclockwise.

We need to find the coordinates of the rotated triangle.

(-3,1) -> (3, -1)

(2,4) -> (-2, -4)

and (5,-3) -> (-5, 3)

Therefore, after rotation the triangle would have coordinates (3,-1) (-2,-4) and (-5,3)

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The probability that at least one of the cubes will have the face labeled 5 showing and that the sum of the showing faces will be greater than 8 is 5/36.

A probability is a numerical representation of the possibility or chance that a specific event will take place. Probabilities can be written as percentage between 0 and 1.

Number of sample spaces that are labeled 5 and display a sum more than 8 / total sample space gives the likelihood that at least one of the cubes will have the face labeled 5 showing and that the sum of the faces showing will be greater than 8.

When two cubes are rolled, the total sample space is 36.

The sample space that is labelled 5 and has a sum greater than 5 are: (4,5) , (5, 4) , (5, 5), (5, 6) , (6,5) = 5

The probability = 5/36

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The relationship between x, the number of month, and y, the height of the giraffe in feet is y = 6+0.5.

According to the question,

We have the following information:

A baby giraffe measures 6 feet tall when it is born and grow an average of 1/2 foot each month.

Now, x represents the number of months and y represents the height of the baby giraffe in feet.

Now, converting 1/2 from fraction into decimal form:

1/2 = 0.5 feet

Now, the equation to find the height of the giraffe will be given using the following equation;

y = 6+0.5x

Hence, the relationship between x, the number of month, and y, the height of the giraffe is y = 6+0.5.

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Answer:

first and second, which are the same number line

Step-by-step explanation:

250x + 300 ≥ 1,550 ( subtract 300 from both sides )

250x ≥ 1,250 ( divide both sides by 250 )

x ≥ 5

since x is greater than or equal to the number line will have a solid circle at 5, indicating x can be equal to 5.

the arrow will point to the right, indicating the values x can be greater than 5.

this solution is represented on both graph 1 and graph 2

Answer: omg never seen somthing dat complex :O

Step-by-step explanation:

The probability of the two fair six sided dice thrown together and getting sum of shown numbers to 7 is equal to ( 1/ 7).

As given in the question,

Number of times both 6-sided fair dice rolled out = 2

Dice is numbered from 1 to 6

As both the dice rolled together order does not matter

Total possible outcomes are:

= { ( 1,1 ), (1,2) , (1,3),(1,4), (1,5), 1,6), (2,2), (2,3),(2,4),(2,5), (2,6), (3,3),(3,4), (3,5) ,(3,6), (4,4), (4,5), (4,6), (5,5), (5,6), (6,6) }

Total number of outcomes = 21

Dice shows sum of numbers to 7 are

= {(1,6), (2,5), (3,4), }

Number of favourable outcomes = 3

Probability of the thrown dice sum shows number 7

= (Number of favourable outcomes)/ (Total number of outcomes)

= 3 /21

= 1 / 7

Therefore, probability of the two six sided dice thrown together and show sum of numbers to 7 is equal to (1/7).

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The value of x from given exponential equation is 6 / 23. An equation with exponents is called an exponential equation if one of the exponents is a variable.

The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

When the input variable x appears as an exponent in the formula f(x) = axe, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x.

Exponential growth and decay are the two different kinds of exponential functions.

23x = 6

Divide both sides by the same factor

23x /23 =6 /23

Simplify

x = 6/ 23

The value of x = 6 /23

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A) The two solutions for the system are

tennis ball, t = 3.099 OR t = -7.099

rocket launch, t = 6

B) The solution that is not reasonable is the height of Antonio's rocket, The path traced is not a linear function

C) The rocket and the tennis ball reach same height at 2.32 s

The system of equation of the two motions are

b(t) = -t^2 - 4t + 22.

p(t) = -2t + 12

Solving the quadratic equation gives

b(t) = -t^2 - 4t + 22.

t = 3.099 OR t = -7.099

solution for the linear equation gives

t = 6

The solution that is  not reasonable in this situation is the linear equation

The linear equation because projectile motion do not follow linear part.

time to reach same height

-2t + 12 = -t^2 - 4t + 22.

-t^2 - 2t + 10

solving the equation gives

t = 2.3166 OR -4.3166

take the positive value

t = 2.32 s

time to reach same height is 2.32 s

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Answer:

16/5

Step-by-step explanation:

[tex]1\frac{1}{5}=\frac{6}{5} \\ \\ 2=\frac{10}{5} \\ \\ \frac{6}{5}+\frac{10}{5}=\frac{16}{5}[/tex]

We reject the null hypothesis of the given sample data below.

A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance. Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."

it is given that,

P value=0.0045

Thus, alpha = 0.02

At the point when P esteem is not exactly or equivalent to the importance level, then reject the null hypothesis.

Here p esteem is not as much as the importance level then reject the null hypothesis H0.

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The number of kilograms of carbon dioxide a person exhale each minute is [tex]0.625\times10^{-3}[/tex] .

Given that, a person exhales about [tex]1.25\times10^{-5}[/tex] kilogram of carbon dioxide in [tex]2\times10^{-2}[/tex] minute.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as  [tex]1.57\times10^7[/tex].

Here,

Number of kilograms of carbon dioxide a person exhale each minute = Weight of carbon dioxide/Number of minutes

= [tex]\frac{1.25\times10^{-5}}{2\times10^{-2}}[/tex]

= [tex]0.625\times10^{-3}[/tex]

Therefore, the number of kilograms of carbon dioxide a person exhale each minute is [tex]0.625\times10^{-3}[/tex] .

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By solving the two equations, the values of x , y and x-y are found to be 1, 25/3 and -22/3 respectively.

Given two equations are;

5x+3y=30..........(1)

−5x−2y=−25.........(2)

Now , from (2)

−5x−2y=−25

⇒ 5x +2y = 25 (multiply both sides with '-' sign)

⇒ y = [tex]\frac{(25 -5x)}{2}[/tex]

Solving the system;

substitute the above vale of y in eq (1)

5x + 3y = 30

⇒ 5x + 3 ( [tex]\frac{(25 -5x)}{2}[/tex]) = 30

⇒  5x + ([tex]\frac{(75 - 15x)}{2}[/tex]) = 30

⇒  [tex]\frac{10x+75-15x}{2}[/tex] = 30

⇒ -5x + 75 = 60

⇒  -5x = -5

⇒ x = 1

∴ x = 1

Now substitute the value of x in (1)

5x + 3y = 30

⇒ 5 × 1 + 3y = 30

⇒ 3y = 25

⇒ y = 25/3

∴ y = 25/3

Now using the value of x and y , we can find the value of x - y

x - y = 1 -25/3 = (3 - 25)/ 3 = -22/3

∴ x - y = -22/3

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The equation for the first website is y = 5x + 15.

Two or more expressions with an equal sign are defined as an equation.

Given that, the website (1) charges a yearly fee of $15 and $5 for each download.

Therefore, the total cost, y, for x downloads is given by:
y = 15 + 5x

Or, y = 5x + 15

Hence, the equation for the first website is y = 5x + 15.

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