Choose the linear inequality that describes the graph. The gray area represents the shaded region

Choose The Linear Inequality That Describes The Graph. The Gray Area Represents The Shaded Region

Answers

Answer 1
(1,0)(0,-2)
slope = (-2 - 0) / (0 - 1) = -2/-1 = 2

y int (where the line crosses the y axis) = (0,-2)

equation is : y = 2x - 2.....line is solid, so there is an equal sign in the problem....shading is above the line, so it is greater then

ur inequality is : y > = 2x - 2


Answer 2

Answer:

The required inequality that shown in the given graph is [tex]y\geq 2x-2[/tex].

Step-by-step explanation:

Consider the provided graph.

The y-intercept of the line is, (0,-2)

The x-intercept of the line is, (1,0)

To find the equation of line use the formula:

[tex](y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substitute [tex](x_1,y_1)=(0,-2)\text{and}(x_2,y_2)=(1,0)[/tex]

[tex]y-(-2)=\frac{0-(-2)}{1-0}(x-0)[/tex]

[tex]y+2=\frac{(2)}{1}(x)[/tex]

[tex]y+2=2x[/tex]

[tex]y=2x-2[/tex]

Therefore the equation of line is [tex]y=2x-2[/tex].

The graph is solid line and shaded region is above the line. So, use the inequality sign "≥".

Thus, the required inequality that shown in the given graph is [tex]y\geq 2x-2[/tex].


Related Questions

what does coplanar mean

Answers

Salutations!

What does coplanar mean?

Coplaner is a term used in geometry referring as points which rest on the very same plane; typically orbiting the same way. The point can be rested as 3 or several points in the same plane.

Hope I helped :D

3x - 13 = 7(x+2) - 4(x-7)

Answers

7x+14-4x+28. 3x+42. 3x-13=3x+42. Not equal x is 0

7 indian and 4 chinese finish a job in 5 days. 7 japanese and 3 chinese finish the same job in 7 days. given that the efficiency of each person of a particular nationality is same but different from others.one chinese,one indian and one japanese will complete the work in

Answers

the answer is
20 7/12

The question is about work and efficiency and requires solving a system of equations to find the individual work rates of people from different nationalities. However, because we have insufficent data (two equations but three unknowns), we cannot find a unique solution and thus can't determine how long it would take for one Chinese, one Indian, and one Japanese to complete the work together.

The student's schoolwork question involves solving a problem related to work and efficiency, which is a part of mathematics, specifically related to rate and work problems.

First, let's find the rate of work done by individuals from each nationality. We can set up the equations based on the given information:

Let's denote the efficiency of one Indian as I, one Chinese as C, and one Japanese as J.According to the given information:
7I + 4C = 1/5 (since 7 Indians and 4 Chinese finish the job in 5 days)7J + 3C = 1/7 (since 7 Japanese and 3 Chinese finish the job in 7 days)

We will need to solve this system of equations to find the individual efficiencies I, C, and J. However, we have two equations and three unknowns, so we cannot find unique solutions for I, C, and J unless we have one more equation or information.
Since we cannot determine the individual efficiencies with the given information, we cannot determine how long it would take one Chinese, one Indian, and one Japanese to complete the work.

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

Answers

4 rupee must sell agin 20%

a set of data can have no mode true or false

Answers

If there is NO data value or data values that occur most frequently, we say that the set of data values has no mode.

True, A set of data can indeed have no mode. In statistics, the mode represents the value(s) that appear most frequently in a dataset.

However, there are scenarios where no value occurs more frequently than others, resulting in a lack of a mode. This can happen in several situations. For example, in a uniform distribution where all values occur with equal frequency, or in a dataset with no repetition of values (each value occurs only once). Additionally, if the data is continuous and does not have distinct categories or intervals, it may not have a mode. In summary, while a mode is a common descriptive statistic, it's not a requirement for every dataset, and some datasets do indeed have no mode.

A box of 21 holiday cards sells for $3.99. What is the unit price per card?

Answers

The unit price is about $0.19 per card.
It would be .19 Each card.

Rolf spent 15 hours last week practicing his saxophone if 3/10 of the time was spent practicing warm up routines, how much time did he spend practicing warm up routines ?

Answers

3/10 of the time = time spent on practicing warm up routines...
Time spent = 15 hours
remember that 'of' is usually multiply (x)
so ---- 3/10 x 15 =4.5 hrs

Hope this helps

Best Answer Gets Brainliest

The double box-and-whisker plot represents the runs scored per game by two softball teams during a 32-game season. a. Which team is more consistent at scoring runs? Explain. b. In how many games did Team 2 score 6 runs or less? c. Team 1 played Team 2 once during the season. Which team do you think won? Explain. d. Which team do you think has the greater mean? Explain

Answers

A. Team 2 because the data is spread across the line and has a higher end point.
B. 4 games
C. Team 2 because they have the higher batting average.
D. Team 1 has the greater mean because team 1 has a mean of 9 and team 2 has a mean of 5.

Answer its,    C and standard deviation,  lowest  

Step-by-step explanation:

the lengths of the sides of a triangle are three consecutive odd integers. The perimeter of the triangle is 45in. What is the length of the shortest side of the triangle?

Answers

The middle integer is the average of them, their total divided by 3. The shortest side is 1 less, so is
.. 45/3 -1 = 14

Factor 4x^2+8x-21 completely

Answers

4x^2 + 8x - 21 =
(2x - 3)(2x + 7) <==
4x^2+8x-21

4x^2-6x+14x-21

2x(2x-3)+7(2x-3)

(2x+7)(2x-3)


Which linear inequality is represented by the graph?
y < 2/3x + 3
y >3/2 x + 3
y >2/3 x + 3
y < 3/2x + 3

Answers

The linear equality represented by the graphis [tex]\boxed{{\mathbf{y > }}\frac{{\mathbf{2}}}{{\mathbf{3}}}{\mathbf{x + 3}}}[/tex] and it matches with [tex]\boxed{{\mathbf{OPTION C}}}[/tex].

Further explanation:

From given graph, theline passes through points [tex]\left({3,5}\right)[/tex]  and [tex]\left({ - 3,1}\right)[/tex] as shown below in Figure 1.

The slope of a line passes through points [tex]\left({{x_1},{y_1}}\right)[/tex] and [tex]\left({{x_2},{y_2}}\right)[/tex] is calculated as follows:

[tex]m = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}{\text{}}[/tex]   ......(1)

Here, the slope of a line is denoted as  and points are [tex]\left({{x_1},{y_1}}\right)[/tex] and [tex]\left({{x_2},{y_2}}\right)[/tex].

Substitute [tex]3[/tex] for [tex]{x_1}[/tex] , [tex]5[/tex] for [tex]{y_1}[/tex] , [tex]-3[/tex] for [tex]{x_2}[/tex] and [tex]1[/tex] for [tex]{y_2}[/tex] in equation (1) to obtain the slope of a line that passes through points [tex]\left( {3,5}\right)[/tex] and [tex]\left({ - 3,1}\right)[/tex].

[tex]\begin{aligned}m&=\frac{{1 - 5}}{{ - 3 - 3}}\\&=\frac{{ - 4}}{{ - 6}}\\&=\frac{2}{3}\\\end{aligned}[/tex]

Therefore, the slope is [tex]\frac{2}{3}[/tex].

The point-slope form of the equation of a line with slope   passes through point  is represented as follows:

[tex]y - {y_1} = m\left({x - {x_1}}\right){\text{}}[/tex]         ......(2)

Substitute [tex]3[/tex] for [tex]{x_1}[/tex] , [tex]5[/tex] for [tex]{y_1}[/tex] and [tex]\frac{2}{3}[/tex] for [tex]m[/tex] in equation (2) to obtain the equation of line.

[tex]\begin{aligned}y - 5 = \frac{2}{3}\left({x - 3} \right)\\3\left( {y - 5} \right) = 2x - 6\\3y - 15 = 2x - 6\\3y = 2x - 6 + 15\\\end{aligned}[/tex]

Further simplify the above equation.

[tex]\begin{aligned}3y=2x + 9\\y=\frac{2}{3}x+\frac{9}{3}\\y=\frac{2}{3}x + 3\\\end{aligned}[/tex]

Therefore, the value of [tex]y[/tex] is [tex]\dfrac{2}{3}x + 3[/tex].

Since the shaded part in Figure 1 is above the equation of line [tex]y = \dfrac{2}{3}x + 3[/tex], therefore, greater than sign is used instead of is equal to

Therefore, the inequality is [tex]y > \dfrac{2}{3}x + 3[/tex].

Now, the four options are given below.

[tex]\begin{aligned}{\text{OPTION A}}\to y < \frac{2}{3}x + 3 \hfill \\{\text{OPTION B}} \to y > \frac{3}{2}x + 3 \hfill \\{\text{OPTION C}} \to y > \frac{2}{3}x + 3 \hfill \\{\text{OPTION D}}\to y < \frac{3}{2}x + 3 \hfill\\\end{aligned}[/tex]

Since OPTION C matches the obtained equation that is [tex]y > \dfrac{2}{3}x + 3[/tex].

Thus, the linear equality represented by the graph is [tex]\boxed{{\mathbf{y > }}\frac{{\mathbf{2}}}{{\mathbf{3}}}{\mathbf{x + 3}}}[/tex]and it matches with [tex]\boxed{{\mathbf{OPTION C}}}[/tex]

Learn more:

1. Which classification best describes the following system of equations? https://brainly.com/question/9045597

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3. What are the values of x?https://brainly.com/question/2093003

Answer Details:

Grade: Junior High School

Subject: Mathematics

Chapter: Coordinate Geometry

Keywords: Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics,equation of line, line, passes through point, inequality

Which sets of values can be the measures of the exterior angles of a triangle? Click all that apply.

120°, 110°, 130°

35°, 103°, 122°

123°, 87°, 220°

120°, 120°, 120°

123°, 157°, 90°

Answers

The sum of the interior angles of any polygon is (n-2)*180° (n being the number of sides) so for a triangle the sum of the interior angles is 180°. The sum of the interior and exterior angles is also 180°. To work out which sets are possible you subtract each number from 180° and then add all three answers together. If you get 180° then that set of numbers is possible. Using this method, you will find that the following sets can be the measures of the exterior angles of a triangle:

120°, 110°, 130°

120°, 120°, 120°

The angles are within the range of angles are 120°, 110°, 130°  and  120°, 120°, 120°

The exterior angle of a triangle is the sum of its exterior angles.

The exterior angle of a triangle is obtuse in nature and obtuse angles are angles that are greater than 90 but less than 180 degrees.]

Hence the set of angles required must fall within the range [tex]90^0<\theta<180^0[/tex]

From the given options, the angles are within the range of angles are 120°, 110°, 130°  and  120°, 120°, 120°

Learn more on exterior angles here: https://brainly.com/question/24231058

The table below shows the number of marbles of different colors in a bag:

Marble Experiment

Color of
Marbles Number of
Marbles
Red
5
White
8
Black
2


Deja draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing red marbles in both the trials? (5 points)


5 over 15 multiplied by 4 over 14

5 over 15 multiplied by 4 over 15

5 over 15 added to 4 over 14

5 over 15 added to 4 over 15

Answers

Sample Space ={5 Red, 8White, 2 Blacks} = 15 possible outcomes.

Favorable outcomes={5 Red}

1) P(drawing 1st Red) = 5/15
2) P(drawing ANOTHER RED) = 4/14 (because one Red already drawn and NOT replaced, so the remaining Red are now 4 and the new sample space is now 14, since 1 red already drawn), Hence
P( 1 Red AND another Red) = (5/15).(4/15) or:
"5 over 15 multiplied by 4 over 14"

The correct answer is: 5 over 15 multiplied by 4 over 14

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given this, Deja draws a marble from the bag randomly without looking.

The total number of marbles in the bag is:

5 + 8 + 2 = 15

Deja draws a marble from the bag randomly without looking. Therefore, the probability of drawing a red marble in the first trial is:

P(red on first draw) = 5/15

Deja draws another marble from the bag without replacing the first one. Therefore,

The probability of drawing a red marble in the second trial, given that she drew a red marble in the first trial, is:

P(red on second draw | red on first draw) = 4/14

We multiply these probabilities because the events are independent (i.e., the outcome of the first draw does not affect the outcome of the second draw).

Therefore, the expression that shows the probability of drawing red marbles in both trials is:

= P(red on the first draw) × P(red on second draw | red on the first draw)

= (5/15) × (4/14) = 4/63

So the correct answer is: 5 over 15 multiplied by 4 over 14.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ3

21/99 simplified in fraction

Answers

To simplify 21/99, divide both sides by 3, to get 7/33.

What is a complex fraction?

Answers

A complex fraction is a fraction with a mixed number, or in it's numerator(Top number) or denominator(Bottom number) or both.
A complex fraction is a fraction that includes another fraction for example, 1/2
-------
6

Simplify this expression

Answers

Hello there!

Let's put these into simpler terms:
-7s + 3s + 2s 
10 - 8 - 7

-7s + 3s = -4s
-4s + 2s = 2s

10 - 8 = 2
2 - 7 = -5

We are now left with:
2s - 5, which is your simplified expression.

I hope this helps!

ken had a number of colored marbles in a bag. 1/4 of the marbles were red, 2/3 of the marbles were blue, and the rest were yellow. Given that there were 120 red and yellow marbles all together, how many marbles were there in the bag

Answers

567                                                                                                                                 your answer is 567                                                                                                                                              
Red = 1/4
Blue = 2/3
Yellow= ?

First you will need to find how much of the fraction is yellow so:
RED= 1/4 = 3/12
BLUE= 2/3 = 8/12
YELLOW= add 3/12 with 8/12= 11/12
12/12 - 11/12= 1/12

so the yellow marbles are 1/12

yellow + red = 120
1/12    + 3/12= 120
4/12= 120

so 4/12 of the marbles are 120

how much is 8/12?
120 x 2= 240

now: 
red + yellow = 120
blue= 240

how many are in the bag? 120 + 240 = 360

answer: 360



I don't know if this is correct. but I tried. hope this helped:)


I need help with this question please

Answers

I think Sheridan is correct.

A company manufactures 295 toy cars each day how many toy cars does the company manufacture and 34 days

Answers

That company manufactures 10,030 toy cars. You just multiply the two numbers.

Gavin bought 4 packages of cheese. Each package weighed 1.08 kilograms. How many kilograms of cheese did Gavin buy?

Answers

4*1.08
=4.32kg

Gavin bought 4.32kg of cheese.

Hope this helps! A thanks/brainiest answer would be appreciated :)
4.32 kilograms of cheese, work below

4*1.08=4.32

PLEASE HELP!!! I WILL RATE BRAINLIEST TO THE FASTEST AND CORRECT ANSWER!!!

Answers

Not easy:

- 4 < x^4 + 4x^2 ---> 0 < x^4+4x^2+4 = (x^2+2)^2, so it is always positive. Always satisfied. Curious ...

Now the other one:

x^4+4x^2<21 --> x^4+4x^2-21 < 0 --> (x^2+2)^2 - 25 < 0

(x^2+2)^2<25 ->>> x^2+2 < 5 ---> x^2 <3,

So -sqrt(3)<x<sqrt(3) is the answer! Brainliest?

(I really need help!!!)
x + 14 + (-x)

Answers

If you simplify the expression, it comes out to just 14.

Which expression is equivalent to 2−35?

Answers

i believ it would be
-33
That would be -33....

What number makes the the number sentence true 420,008 - 9,569 =n

Answers

n=410,439
You can just type your problem into a calculator-- you're just finding out what 420,008-9,569 is. :)

Answer: its  410439

(all u need to do is subtract!)

kathi starts with a number. she adds 3 to her number, then doubles the result. finally, she subtracts 7. if she ended with 9 what number did ahe start with

Answers

An equation is:
2(x+3)-7=9
Distribute the 2
2(x)+2(3) -7=9
2x+6-7=9
Combine like terms
2x-1=9
Add one to both sides
2x-1+1=9+1
2x=10
Divide both sides by two to isolate the variable.
2x/2=10/2
x=m

I say

5+3=8
8+8=16
16-7=9

SOMEONE, PLEASE HELP URGENTLY <3
What shape is generated when rectangle ABCD is rotated around the horizontal line through D and A?
A. Prism
B. Pyramid
C. Cone
D. Cylinder

Answers

The answer I came up with is D a cylinder
I came up with...
D. cylinder.

After 4 months of living in her dorm room, Molly had 5 fish. Eight months later, Molly still had 5 fish. Which of the graphs below models Molly's fish population?

Answers

i dont know need graph examples to find out 

What is the slope of the line represented by the equation y = – 2/3- 5x?

A. -5
B. -2/3
C.2/3
D. 5


PLS HELP TY

Answers

Answer:

Option A The slope of the line is [tex]-5[/tex]

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

we have

[tex]y=-\frac{2}{3}-5x[/tex]

Rewrite

[tex]y=-5x-\frac{2}{3}[/tex]

therefore

[tex]b=-\frac{2}{3}[/tex] -----> the y-intercept

[tex]m=-5[/tex] ------> slope


Ryan has a shelf that is 64 over 3 inches wide. How many magazines can Ryan arrange on the shelf if each magazine is 4 over 3 inches thick?

Answers

He can fit 16 magazines on each shelf
16 since each 4/3 is the width of each book you can do 64 divided by 4 in which you get 16

i need help with this one!

Answers

The answer is B! Your welcome if you need anymore help message me for more questions!
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