On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?

y < 3x + 2
y > 3x + 2
y < One-thirdx + 2
y > One-thirdx + 2

Answers

Answer 1

The linear inequality represented by the graph is y < 3x + 2. Option A.

To determine the linear inequality represented by the graph, let's analyze the given information and the slope-intercept form of a linear equation (y = mx + b), where m represents the slope and b represents the y-intercept.

We are given two points on the line: (-3, -7) and (0, 2). Using these points, we can calculate the slope (m) as follows:

m = (y2 - y1) / (x2 - x1)

= (2 - (-7)) / (0 - (-3))

= 9 / 3

= 3

Therefore, the slope of the line is 3.

Next, we can substitute the slope and one of the given points into the slope-intercept form to find the y-intercept (b). Let's use the point (0, 2):

y = mx + b

2 = 3(0) + b

2 = b

So, the y-intercept (b) is 2.

Now we have the equation of the line: y = 3x + 2.

The shaded region is to the left of the line. To express this region as an inequality, we need to find the inequality symbol. Since everything to the left of the line is shaded, we need the inequality to represent values less than the line.

Therefore, the correct inequality is y < 3x + 2.

Hence, the linear inequality represented by the graph is y < 3x + 2. So Option A is correct.

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Note the complete question is

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.

Which linear inequality is represented by the graph?

A.) y < 3x + 2

B.) y > 3x + 2

C.) y < 1/3x + 2

D.) y > 1/3x + 2


Related Questions

Chris completes a word search in 3 minutes. Oliver takes
20 seconds longer. How long did Oliver take?
seconds

Answers

Answer: 200 seconds

Okay - so then Oliver would take 3 minutes and 20 seconds. There are 60 seconds in a minute so it would be 30 times 60 = 180 + 20 = 200

According to the Rational Root Theorem, which statement about f(x) = 12x3 – 5x2 + 6x + 9 is true?
Any rational root of f(x) is a multiple of 12 divided by a multiple of 9.
Any rational root of f(x) is a multiple of 9 divided by a multiple of 12.
Any rational root of f(x) is a factor of 12 divided by a factor of 9.
Any rational root of f(x) is a factor of 9 divided by a factor of 12.

Answers

The complete statement is (d) Any rational root of f(x) is a factor of 9 divided by a factor of 12.

How to determine the rational roots?

The polynomial is given as:

12x^3 - 5x^2 + 6x + 9

The first term in the above equation is 12 i.e. 12x^3, while the last term is 9

To determine the possible rational roots, we divide the factors of the last term i.e. 12 by the factors of the first term i.e. 12

Hence, the complete statement is (d) Any rational root of f(x) is a factor of 9 divided by a factor of 12.

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Answer:

D

Step-by-step explanation:

I took the test

Angela drew the two quadrilaterals shown. The second is a scale drawing of the first. What scale factor did Angela use to draw the second quadrilateral?

Angela drew the two quadrilaterals shown. The second is a scale drawing of the first. What scale factor

Answers

she used the factor 3, she multiplied 5 by 3 and 7 by 3
main answer is just 3

Could I get help with this? Thank you

Could I get help with this? Thank you

Answers

Answer:

Equation: \(y=-\frac{5}{4} x\)

Slope: \(-\frac{5}{4}\)

Point: \((-4,5)\)

Step-by-step explanation:

To find the slope, you need two points \((-4,5)\) and \((0,0)\).

Then use the Slope Formula to Identify the slope.

M = Slope

M = \(\frac{y2-y1}{x2-x1}\)         Second y being subtracted by the first y / the second x being subtracted by the first x.

M = \(\frac{0-5}{0--4}\)          Plot the x and y values (In order) Then subtract

M = \(\frac{-5}{4}\)             Move the negative sign

M = \(-\frac{5}{4}\)

Slope = \(-\frac{5}{4}\)

Then the Equation has to be written in Slope-Intercept Form (y=mx+b)

y = \(-\frac{5}{4} x\)

What is the value of x?
(5x - 5)°
8x
(6x - 5)

Answers

The value of x in the triangle is 10

What is sum of angle in a triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.

The sum of the three angles in a triangle is 180°.

Therefore

(5x - 5)° + 8x + (6x - 5) =180

5x-5+8x+6x-5 = 180

collect like terms

5x+8x+6x-5-5 = 180

19x = 180+10

19x = 190

divide both sides by 19

x = 190/19

x= 10

therefore the value of x is 10

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What is the range of the graph?

What is the range of the graph?

Answers

Answer:

-7≤y≥5 is correct

Step-by-step explanation:

Do you like potato chips? 1+1

Answers

Answer:

yes 1+1=2

Step-by-step explanation:

Answer:

Yes I love chips and the answer is 2 -W-

A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
A. 9
B. 4/3
C. 1/4
D. 3/4
Please select the best answer from the choices provided.

Answers

It’s answer D
8+3+1=12
1-3/12=3/4

A triangle is a parallelogram with all sides the same length.

Answers

Answer:

False

Step-by-step explanation:

The answer is false hope this helps

HELP ASAP!! MARKING BRAINLIEST!!! WORTH 10 POINTS FIRST PERSON TO ANSER CORRECTLY GETS BRAINLIEST!!!!

Which fraction represents the solution to -6/5 divided by (-3/25) in simplest form?
A.) -10
B.) -12/125
C.) 10
D.) 18/125

Answers

Answer:

C

Step-by-step explanation:

-6/5 ÷ -3/25

~Copy Dot Flip

-6/5 * -25/3

~Multiply

150/15

~Simplify

10

Best of Luck!

Answer: Your is answer is C.

Step-by-step explanation:

Mr. Gupta gave his students a quiz with three questions on it. Let

XX represent the number of questions that a randomly chosen student answered correctly. Here is the probability distribution of

XX along with summary statistics:

=
# correct
X=# correctX, equals, start text, \#, space, c, o, r, r, e, c, t, end text
0
00
1
11
2
22
3
33

(

)
P(X)P, left parenthesis, X, right parenthesis
0.05
0.050, point, 05
0.20
0.200, point, 20
0.50
0.500, point, 50
0.25
0.250, point, 25
Mean:


=
1.95
μ
X

=1.95mu, start subscript, X, end subscript, equals, 1, point, 95
Standard deviation:



0.8
σ
X

≈0.8sigma, start subscript, X, end subscript, approximately equals, 0, point, 8
Mr. Gupta decides to score the tests by giving
10
1010 points for each correct question. He also plans to give every student
5
55 additional bonus points. Let

YY represent a random student's score.
What are the mean and standard deviation of

YY?

Answers

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

How to answer the aforementioned question

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

0

1

2

2.

3

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

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In a survey 18 out of 50 people say their favorite type of movie is an action movie write the value as a percent

Answers

To write the value as a percent, we need to divide the number of people who like action movies by the total number of people surveyed and then multiply by 100.

So,

18/50 x 100% = 36%

Therefore, 36% of the people surveyed said their favorite type of movie is an action movie.
————————
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Answer:

The percentage of 18 people out of 50 is 36 %

Step-by-step explanation:

The percentage refers to the per hundred or hundredths and is ended with the symbol %.  By dividing two amounts, ratios and percentages are both used to compare the two amounts.

The formula for finding the percentage is to divide the value by the total value and then multiply the value by 100.percentage = ( given value / total value ) x 100

so,

The given value is 18 people.The total value is 50 people.percentage = ( 18 / 50 ) x 100 = ( 0.36 ) X 100 = 36 %

Therefore the percentage of 18 people out of 50 people is 36 %.

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Assume 6,000 children go to Disneyland today. How much additional revenue will Disneyland receive if it raises the cost of admission
from $31 to $41?

Answers

The additional revenue that Disneyland will get if admission is raised from $31 to $41.

= $60000.

What is additional revenue ?

An additional revenue stream is exactly what it sounds like – another option for you and your company to make money. It is supplemental income that you earn in addition to the main revenue stream that defines and mostly sustains your firm.

Is revenue profit or income?

Revenue denotes income generated by business operations, whereas profit denotes net income after deducting expenses from earnings. Sales, fee income, and property income are all examples of revenue.

According to the given data:

6,000 children

first cost = 31

second cost = 41

The cost was raised from 31 to 41 so the Disneyland will make 10 profit per children.

The additional revenue will Disneyland receive if it raises the cost of admission from $31 to $41:

6000 x 10

= $60000

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HELP IM GIVING 20 POINTS LIKE PLZZ I NEED HELP​

HELP IM GIVING 20 POINTS LIKE PLZZ I NEED HELP

Answers

Answer:

price = 4.1

cost = 12.3

Step-by-step explanation:

price = 0.8+1.2+1.5+0.6 = p4.1

cost = 2.40+3.60+4.50+1.80 = $12.3

Which is the most accurate way to estimate 26% of 66

Answers

The most accurate way to estimate the percentage of the given value = ¼×66. Which is option C

What is percentage?

Percentage is defined as the representation of a given value all over 100 and is given with a symbol of %.

The given value.= 66

The 26% of 66 would be given as follows;

26/100 × 66/1

= 1716/100

= 17.16

Therefore, the most accurate way to represent 26 percentage of 66 would be = ¼ × 66 which would be = 16.5 and is approximately 17.

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Complete question:

Which is the most accurate way to estimate 26% of 66

¼×64

⅔×60

¼×66

⅔×60

work out the value of x​

work out the value of x

Answers

Answer:

x = 74°

Step-by-step explanation:

360 = x - 17 + 2x - 67 + 3x

360 = 6x - 84

360 + 84 = 6x

444 = 6x

x = 444 : 6

x = 74°

-------------------

check

2 * 74 - 67 + 74 - 17 + 3 * 74 = 360°

the answer is good

Determine the mean, median, mode and midrange for the following data:
13 15 18 18 21
Your answers should be exact numerical values.
The mean of the data is
The median of the data is
The mode of the data is
The midrange of the data is

Answers

The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.

Let's see how to calculate Mean, Median, Mode and Midrange.

Mean = 13 + 15 + 18 + 18 + 21 / 5

Mean = 85 / 5

Mean = 17

Median = 18 (as it is the middle term of the data)

Mode = 18 (as it is most recurring number)

Midrange = 21 + 13 / 2

Midrange = 34 / 2

Midrange = 17

Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

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Solve the following equation for the given variable.
4x + 19 + 3x = -5
Round your answers to the nearest tenths place.

Solve the following equation for the given variable.4x + 19 + 3x = -5Round your answers to the nearest

Answers

Step-by-step explanation:

4x + 19 + 3x = - 5

4x + 3x + 19 = - 5 collect the like terms

7x + 19 = - 5

7x = - 5 - 19 bring 19 to the right

7x/ 7x = - 24/ 7

x = - 3.4

I hope this answers your question

A coach of a baseball team orders hats for
the players on his team. Each hat costs
$9.95. The shipping charge for the entire
order is $5.00. There is no tax on the order.
The total cost of the coach's order is less
than $125.00. Which inequality can be
used to determine the greatest number of
hats, h, the coach orders?

Answers

Answer:

9.95h + 5  ≤ 125

Step-by-step explanation:

let 'h' = number of hats

A straw is placed inside a rectangular box that is 2 inches by 5 inches by 9 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.

Answers

The length of the straw is √110 inches.

What is rectangle ?

Rectangle can be defined as opposites sides are equal and the area of rectangle is product of length and breadth.

We can use the Pythagorean theorem to find the length of the diagonal of the rectangular box, which will be the length of the straw.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the rectangular box forms a right triangle, and the length of the hypotenuse is the length of the diagonal from the bottom left corner to the top right back corner, which is the length of the straw.

The lengths of the other two sides of the triangle are the dimensions of the rectangular box:

The width is 2 inches, which is the length of one leg of the right triangle.

The height is 5 inches, which is the length of the other leg of the right triangle.

So we can use the Pythagorean theorem as follows:

length of straw = √(2*2 + 5*5 + 9*9)

= √(4 + 25 + 81)

= √110

Therefore, the length of the straw is √110 inches.

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Sal is participating in a charity walk. The distance Sal walks, in kilometers, is proportional to the number of hours he spends walking.

Which statements are true about the distance Sal walks?

Select each correct answer.

Sal is participating in a charity walk. The distance Sal walks, in kilometers, is proportional to the

Answers

the attachment is not clear dude...

Answer:

the attachment is not clearly

The x and y intercepts for the linear equation x – 2y = -8 is

Answers

Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

What is the answers to Part A, B, and C ?

What is the answers to Part A, B, and C ?

Answers

Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

How to explain the information

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

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How many pairs of parallel sides
does this shape appear to have?

Answers

There are three pairs of parallel sides.

We have,

Parallel sides refer to two or more sides of a polygon or a shape that are always equidistant and do not intersect.

In other words, parallel sides are lines that lie in the same plane and never meet or cross each other.

In a polygon, such as a rectangle or a parallelogram, parallel sides are pairs of sides that are opposite to each other.

For example, in a rectangle, the two pairs of opposite sides are parallel to each other.

Similarly, in a parallelogram, both pairs of opposite sides are parallel.

Now,

From the figure,

There are three pairs of parallel sides:

- a and d are parallel

- b and e are parallel

- f and c are parallel

Thus,

There are three pairs of parallel sides.

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How many pairs of parallel sidesdoes this shape appear to have?

Solve for x
-22.3=x/3 -3.1

Answers

Answer:

-57.6=x

Step-by-step explanation:

-22.3= x/3-3.1
-19.2=x/3
-57.6=x

What is the value of x?
A-14
B-26
C-35
D-69

What is the value of x?A-14B-26C-35D-69

Answers

Answer:

14

Step-by-step explanation:

14 issssss tha answer

Solve 2/3 (3x+14)=7x+6 by first multiplying both sides of the equation by 3 before applying the distributive property

Answers

\(\dfrac23 (3x +14) =7x+6\\\\\\\implies 3\left[\dfrac 23 (3x+14) \right] = 3(7x+6)\\\\\\\implies 2(3x+14) = 21x +18\\\\\implies 6x + 28 =21x +18\\\\\implies 21x -6x = 28-18\\\\\implies 15x = 10\\\\\implies x = \dfrac{10}{15} = \dfrac 23\)

Which graph represents the function f(x) = 2x-1 +2

Which graph represents the function f(x) = 2x-1 +2

Answers

Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

Determine the domain and range of the given function
The domain is
Ty
4
The range is
2
x
-2
2
4
4
Intro
Done

Answers

Answer:

List all of the solutions.

T

y

=

4

=

2

=

x

=

2

=

2

=

4

=

4

=

Step-by-step explanation:

The domain of the function is real numbers and range is from -2 to +2.

What is Domain and Range?

The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f(x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value.

The domain takes all of the potential input values from the set of real numbers, while the range takes all of the function's output values.

The domain is the x values operate, often known as the horizontal axis.

Here we have the parabola function x².

Then, the domain of all parabolic functions is all real numbers.

The Range is y values on the vertical axis.

As, from the graph there is no point below 2 .

Then, the range of the function is from -2 to +2.

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Your friend printed a picture of a regular 18-gon. She wants to cut the 18-gon into right triangles. If she divides the figure into 36 right triangles, what are the measures of the non-right angles of each triangle?

Answers

The measures of the non-right angles of each triangle are 40 degrees and 50 degrees.

The sum of the interior angles of a regular 18-gon can be found using the formula:

S = (n - 2) × 180 degrees

n is the number of sides of the polygon.

Substituting n = 18 we get:

S = (18 - 2) × 180 degrees

= 2880 degrees

The 18-gon into 36 right triangles need to draw 18 lines from the center of the polygon to its vertices dividing the polygon into 36 congruent sectors each with a central angle of 360 degrees / 18 = 20 degrees.

Each sector is an isosceles triangle with two sides of equal length radiating from the center of the polygon.

The vertex angle of each isosceles triangle is equal to twice the central angle or 40 degrees.

Since the vertex angle of a right triangle is 90 degrees the two non-right angles of each right triangle are 40 degrees and 50 degrees.

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