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
Chris completes a word search in 3 minutes. Oliver takes
20 seconds longer. How long did Oliver take?
seconds
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.
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?
Could I get help with this? Thank you
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)
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?
Answer:
-7≤y≥5 is correct
Step-by-step explanation:
Do you like potato chips? 1+1
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.
A triangle is a parallelogram with all sides the same length.
Answer:
False
Step-by-step explanation:
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
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?
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 questionGiven:
- 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
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 100so,
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?
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
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
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
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
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.
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?
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.
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.
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
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 ?
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 informationPart 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?
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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Solve for x
-22.3=x/3 -3.1
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
Answer:
14
Step-by-step explanation:
Solve 2/3 (3x+14)=7x+6 by first multiplying both sides of the equation by 3 before applying the distributive property
\(\dfrac23 (3x +14) =7x+6\\\\\\\implies 3\left[\dfrac 23 (3x+14) \right] = 3(7x+6)\\\\\\\implies 2(3x+14) = 21x +18\\\\\implies 6x + 28 =21x +18\\\\\implies 21x -6x = 28-18\\\\\implies 15x = 10\\\\\implies x = \dfrac{10}{15} = \dfrac 23\)
Which graph represents the function f(x) = 2x-1 +2
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
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?
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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