Determine whether (2,-1) and (-4,2) satisfy the inequality 2x-3y>4. Neither (2,-1) nor (-4,2) satisfies the inequality. (-4,2) satisfies the inequality, but (2,-1) does not. (2,-1) satisfies the inequality, but (-4,2) does not. Both (2,-1) and (-4,2) satisfy the inequality.

Answers

Answer 1

Answer:

(2,-1) satisfies the inequality, but (-4,2) does not.

Step-by-step explanation:

To verify if the points satisfy the inequality, we replace then in the inequality, and see if we have a true statement or a false one.

(2,-1)

[tex]x = 2, y = -1[/tex]

So

[tex]2x - 3y > 4[/tex]

[tex]2(2) - 3(-1) > 4[/tex]

[tex]4 + 3 > 7[/tex]

[tex]7 > 4[/tex]

This is a true statement, which means that (2,-1) satisfies the inequality.

(-4,2)

[tex]x = -4, y = 2[/tex]

So

[tex]2x - 3y > 4[/tex]

[tex]2(-4) - 3(2) > 4[/tex]

[tex]-8 - 6 > 7[/tex]

[tex]-14 > 4[/tex]

This is a false statement, so (-4,2) does not satisfy the inequality.

The correct answer is:

(2,-1) satisfies the inequality, but (-4,2) does not.


Related Questions

Find the length of the cable in the diagram below.

Answers

Answer:

13.4

Step-by-step explanation:

it is A square +b square =c square which is just 12×12=144 + 6×6=36 and then add them together which is 180, then just square root 180 can do it for every type of question like that and always remember the longest side is c, and the other two it doesn't matter which is A or B.

Please help, I will give brainliest!!!

The table models the flight of the projectile from Part A

Which of these statements is true?
A) h(4) < h(20)
B) The flight is symmetric about the line t=10
C) The projectile will hit the ground at some value of t less than 24.
D) If 0<a<12, then h(12-a) = h(12+a).​

Answers

If 0 < a < 12, then h(12 – a) = h(12 + a) is true. Then the correct option is D.

What is a projectile motion?

When a body is thrown in the air at an angle, then the term is known as projectile motion.

The table is given in the question.

A) h(4) < h(20), this statement is incorrect, because the h(4) = h(20).

B) The flight is symmetric about the line t = 10, this statement is incorrect, because symmetric about t = 12.

C) The projectile will hit the ground at some value of t less than 24. This is incorrect, because t > 24.

D) If 0 < a < 12, then h(12 - a) = h(12 + a).​ This statement is correct.

Then the correct option is D.

More about the projectile motion link is given below.

https://brainly.com/question/11049671

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The authors of a paper studied a random sample of 350 Twitter users. For each Twitter user in the sample, the "tweets" sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent.

Category Description
IS Information sharing
OC Opinions and complaints
RT Random thoughts
ME Me now (what I am doing now)
O Other

The accompanying table gives the observed counts for the five categories (approximate values read from a graph in the paper).

Twitter Type IS OC RT ME O
Observed count 50 61 64 102 73

Required:
Carry out a hypothesis test to determine if there is convincing evidence that the proportions of Twitter users falling into each of the five categories are not all the same. Use a significance level of 0.05.

Answers

Answer:

The null hypothesis is rejected.

Step-by-step explanation:

Assuming the proportions in each of the categories is the same which is 1/5 = 0.20.

H0: p1 = p2 = p3 = p4 = p5 = 0.2

Ha: H0 is not true.

The table is as below:

Twitter Type:   Observed Count      p        E=350*p       (O-E)^2/E

IS                                50                  0.2          70                 5.7143

OC                              61                   0.2          70                 1.1571

RT                               64                  0.2          70                 0.5143

ME                              102                 0.2          70               14.6285

O                                 73                  0.2          70                 0.1286

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

Total                                                                                     22.1428

The test statistic [tex]\chi^2[/tex] is 22.1421

The degree of freedom d is n-1=5-1 =4

The corresponding p-value from the chi-squared table is .000188.

As this value is less than the p-value for the H0 thus we reject the null hypothesis.

Find the value of x in the triangle shown below.
a. x=80
b. x=48
c. x= 32
d. x=12

Answers

h.c gjsussisuse udrih eieeiee Getty e

PLS HELLP PLS PLS
Aarons bedroom measures. feet by 14 feet by 8 feet. how many cubic feet of space does the room contain? round ur answer to the nearest hundredth

Answers

Answer:

it would be 100 rounded because 14x8=112 and 112 is rounded to 100 to the nearest hundreth. Please subscribe to Amiredagoat Yt

Step-by-step explanation:

Which phrase describes the shape of the data?
.
.
.
12
13
14
15
10
17
18
A. Symmetric, not bell-shaped
B. Not symmetric, bell-shaped
C. Not symmetric, not bell-shaped
D. Symmetric bell-shaped

Answers

Answer:

C. Not symmetric; not bell-shaped.

Step-by-step explanation:

In a symmetric data distribution, the shape on the left side is almost the same as the shape on the right side of the middle. In this type of data distribution, if different measure of centers are calculated (mean, median, and mode), they will have a similar figures that are close together. Symmetric distributions are bell-shaped.

On the other hand, if the data distribution is not symetric, it means the left and the right side of the distribution are not equal and do not have the same shape.

The data in the dot plot above is considered as NOT SYMMETRIC. Also, it is not bell-shaped.

Answer:

c

Step-by-step explanation:

For every 3 boys in a class, there are 2 girls.
If there are 20 children in the class, how many girls are in there?

Answers

There are 8 girls in the class
The answer is 8 because 3+2=5 and 5 times 4 is 20 and 4 times two girls is 8 :)

You need to establish _____ for how to judge a concept.

Answers
Questions
Points
Criteria

Answers

Answer:

Criteria.

Step-by-step explanation:

A series of criteria is a set of parameters established by whoever seeks to interpret a certain information or quantity of concepts, by means of which a set of interpretive rules is established that should be equal to all the concepts to be analyzed. Thus, the criteria allow a set of data to be analyzed under the same parameters or information processing requirements.

Given that cos A 165 and sin B = 72, and that angles A and B are both in
Quadrant I, find the exact value of sin(A + B), in simplest radical form.

Answers

Given:

[tex]\cos A=\dfrac{4}{\sqrt{65}}[/tex]

[tex]\sin B=\dfrac{1}{\sqrt{2}}[/tex]

A and B both lies in I quadrant.

To find:

The value of [tex]\sin (A+B)[/tex].

Solution:

We know that, all trigonometric ratios are positive in first quadrant.

[tex]sin^2\theta +\cos^2\theta =1[/tex]

Using this we get

[tex]\sin^2A +\cos^2A =1[/tex]

[tex]\sin^2A +\left(\dfrac{4}{\sqrt{65}}\right)^2 =1[/tex]

[tex]\sin^2A +\dfrac{16}{65}=1[/tex]

[tex]\sin^2A =1-\dfrac{16}{65}[/tex]

Taking square root on both sides, we get

[tex]\sin A =\sqrt{\dfrac{65-16}{65}}[/tex]         [Only positive because A lies in I quadrant]

[tex]\sin A =\sqrt{\dfrac{49}{65}}[/tex]

[tex]\sin A =\dfrac{7}{\sqrt{65}}[/tex]

Similarly,

[tex]\sin^2B +\cos^2B =1[/tex]

[tex]\left(\dfrac{1}{\sqrt{2}}\right)^2 +\cos^2B =1[/tex]

[tex]\dfrac{1}{2}+\cos^2B =1[/tex]

[tex]\cos^2B =1-\dfrac{1}{2}[/tex]

Taking square root on both sides, we get

[tex]\cos B =\sqrt{\dfrac{2-1}{2}}[/tex]         [Only positive because B lies in I quadrant]

[tex]\cos B =\sqrt{\dfrac{1}{2}}[/tex]

[tex]\cos B =\dfrac{1}{\sqrt{2}}[/tex]

Now,

[tex]\sin (A+B)=\sin A\cos B+\cos A\sin B[/tex]

[tex]\sin (A+B)=\dfrac{7}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}+\dfrac{4}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}[/tex]

[tex]\sin (A+B)=\dfrac{7}{\sqrt{130}}+\dfrac{4}{\sqrt{130}}[/tex]

[tex]\sin (A+B)=\dfrac{11}{\sqrt{130}}[/tex]

Therefore, the exact value of [tex]\sin (A+B)[/tex] is [tex]\dfrac{11}{\sqrt{130}}[/tex].

What is the area, in square centimeters, of the shaded part of the rectangle shown below

Answers

Answer:

Step-by-step explanation:

i think you forgot to link or import the question

Please help. I NEED GOOD GRADES

Answers

Answer:

The circle should be open and the arrow should go the other way.

This is the correct answer your welcome


You own a truck that has a trailer in the shape of a rectangular prism. It has a height of 15 m and a length of 40m, and a width of 10 m. If you wish to fill this trailer with 5m x 5m x 5m cubic boxes, how many boxes will fit into
the trailer

Answers

Answer:

48 boxes

Explanation:

First, find the volume of the rectangular prism (l*w*h) to find out how much it can hold.

15*40*10= 6,000

Then, find the volume of the cubic boxes (l*w*h) to find how much space each of them take up.

5*5*5= 125

Finally, divide the rectangular prism's volume by the boxes' to find out how many can fit inside.

6,000/125= 48 boxes

You withdrew $36.25 from your checking account. Now your balance is −$14.75. Write and solve an equation to find the amount of money in your account before you withdrew the money?

Answers

Answer:

SIMPLE, −$14.75 + $36.25 = $21.50

Step-by-step explanation:

TO CHECK OURSELVES:

21.50 -  36.25 = -14.75

YOUR WELCOME

What is cot(A)?

A. -3 sqrt 7/7 correct

Answers

Step-by-step explanation:

[tex]to \: help \: you \\ \cot(A) = { (\tan(A)) }^{ - 1} = \frac{ \cos(A) }{ \sin(A) } \\ or : \\ \cot(A) = \sqrt{(1 + {( \tan(A) )}^{2} } [/tex]

Answer:

A is correct :)

Step-by-step explanation:

edge 2021

thank you! have a great day

hey guys i'm having a rough night and i can't figure out my homework rn i'm just too stress please help

Answers

Answer:

3a) 54/99

3b) 257/999

Hope this'll help you!

Find the value of x in the triangle shown below
a.x=28
b.x=56
c.x=28
d.x=20

Answers

Answer:

D.

Step-by-step explanation:

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

by using Pythagoras law:

h²=p²+b²

x²=16²+12²

x=√400

x=20 units.

1-4: Find the measures of central tendency, then determine the range of the data.
Daily High Temperatures (°F) for a week: 68 70 67 68 75 75 74 (1 pt each)
1. Mean:
2. Median:
3. Mode(s):
4. Range:

Answers

Answer:

Step-by-step explanation:

1=71

2=70

3= 68 and 75, they both appear twice

4= 8

She has 12 watermelons, 30 pears, and 42 apples

For each basket Kerra makes they must have the same number of fruit.

She must use all the fruit.



What is the greatest number of baskets that Kerra can make?

Answers

Six because all can be divided by six
12/6=2
30/6=5
42/6=7

if 16c 1 gal then 1 1/4 gal __= c

Answers

Answer:

20 cups

Step-by-step explanation:

16 x 1.25 = 20

Answer:

11/4 c = 44 gal

I hope it's helps you

The distance by road from town A to town B is 242km.
What is 50% of that distance? A484 b 121 c 242 d
13

Answers

Answer: Option b 121km

50% means half, so the half of 242km is 121km, so option B 121 is correct.

Step-by-step explanation:

242/2=121

Have a nice day!

and can I maybe have brainliest? Thanks!

Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4


In Mr. Thompson's first period class, there are 6 students with blue eyes, 8 students with brown eyes,
5 students with grey eyes, and 1 student with hazel eyes. If Mr. Thompson selects one student
randomly, what color eyes is the student most likely to have?

Answers

Answer:

blue

Step-by-step explanation:

There the most common eyes in the class?

Answer:the student would most likely have blue eyes

Step-by-step explanation:

8/20

6/20

5/20

1/20

The scatter plot shows the number of hours worked and money spent on entertainment by each of 24 students. Also shown is the line of best fit for the data. Fill in the blanks below.​

Answers

The given scatter plot has a positive correlation.

Given that, the scatter plot shows the number of hours worked and money spent on entertainment by every 24 students.

What are scatter plots?

A scatter plot is a means to represent data in a graphical format. A simple scatter plot makes use of the coordinate axes to plot the points, based on their values. The following scatter plot excel data for age (of the child in years) and height (of the child in feet) can be represented as a scatter plot.

A positive correlation—when the correlation coefficient is greater than 0 signifies that both variables move in the same direction.

The blanks for the given questions are filled below:

a) increase

b) strong positive

c) $22.50

Therefore, the given scatter plot has a positive correlation.

To learn more about the scatter plot visit:

https://brainly.com/question/13984412.

#SPJ2

Find the distance between the two points. (2, 4), (7, 2)

Answers

Answer:

5.38516480 or  √ 29

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5.385165 or sqrt 29

Step-by-step explanation:

d = distance

d= sqrt (7-2)^2+(2-4)^2

and when simplified fully you get

sqrt or 5.385165

A cube with sides that are 2 cm has a mass of 48 g and its density would be
___________ g/cm3.

Answers

Answer:

6g/cm^3

Step-by-step explanation:

The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.

Answer: 6g/cm^3

Hope this helps!

Answer:

p = 6 g/cm³

Step-by-step explanation:

Given: cube sides= 2 cm and 48 g

To find: The cube's density

Formula: [tex]{p} \frac{m}{V}[/tex]

Solution: Measure the height, width, and depth of the shipment in inches.

Multiply the three measurements (height x width x depth).

Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).

Divide the weight (in pounds) of the shipment by the total cubic feet.

p = density

m = mass

V = volume

13.) In 1990, a radio costs $25. Now,
the radio costs $5. What is the
percent of change?

Answers

Answer:

Step-by-step explanation:

             80% of 25 = 5

because 10% of 25 = 2.5

and then       10 x 8 = 80

so                2.5 x 8 = 20

                  25 - 20 = 5

therefore, the percentage change is 80%

GIVE BRAINLIEST

hope this helped,

-cheesetoasty

Please quickly help me with this question please please please please please I’m beggig

Answers

Answer:

D: Point A is 1 unit to the right of the origin and point B is 3 units to the right of the origin.

Step-by-step explanation:

The coordinate (1, 3) is in quadrant 1 with a positive y, moving the point up, and a positive x, moving the point right. Because the x is 1, the point moves 1 unit right from the origin.

The coordinate (3, 1) is also in quadrant 1 with a positive y and x, but this time the x is 3, moving the point 3 units right from the origin.

How much water will be needed to completely fill a rectangular tank that has a length of 3 meters a width of 3 meters
and a height of 18 meters?

(A) 162 cubic meters
(B) 24 cubic meters
(C) 324 cubic meters
(D) 108 cubic meters

Answers

Answer:

A

Step-by-step explanation:

because when you multiply 3x3 (the base) times 18(the height) you get= 162

a triangle has two sides of lengths 5 and 12, what value could the length of the third side be? check all that apply​

Answers

Answer:

11 and 9

Step-by-step explanation:

The inequality is 12-5<x<12+5, which simplifies to 7<x<17, so the length of the third side can be any number between 7 and 17, but not including those numbers.

The answer is 11 and 9

What is the value of 12(x + 5)?​

Answers

Answer:

12(x+5)=

12x+60=

12x÷12 & 60÷12

x=5

Two rectangular prisms have the same volume.the first prism has a length of 10 meters a width of 6 meters and a height of 2 meters. The second prism has a length of 6 meters and a width of 4 meters

Answers

Answer:

height of second rectangular prism is 5 meters

Step-by-step explanation:

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