Algebraically, an ordered pair is a solution to a system of two linear inequalities if and only if it __________.
A.
makes both the top and bottom inequalities false
B.
makes the top inequality true and the bottom inequality false
C.
makes the top inequality false and the bottom inequality true
D.
makes both the top and bottom inequalities true

Answers

Answer 1

Answer:

D.  Makes both the top and bottom inequalities true

Step-by-step explanation:

System of linear inequalities

Consider these two inequalities:

2x+3y > 20

3x-2y > 5

The solution of the system consists of all the ordered pairs (x,y) that satisfy both inequalities. The ordered pair (3,5) makes the first inequality true because

2*3+3*5=21 and it's effectively greater than 20.

But that pair makes the second inequality false, since

3*3-2*5=-1 is not greater than 5.

Thus, the pair (3,5) is not part of the solution.

If we test the pair (6,2), we'll check both inequalities are true, thus (6,2) is part of the solution.

Thus, the correct answer to the question is

D.  Makes both the top and bottom inequalities true


Related Questions

If a dose of 100mg is contained in 4cc, how many cubic centimeter are in 40mg?

Answers

the answer to this is 1.6cc

The pet store currently has 430 frogs. Last night 114 jumped out and
escaped. What was the inventory before the great frog escape?

Answers

Answer:

544

Step-by-step explanation:

430+114

According to the Vivino website, the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New Englandâbased lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 56 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively.

Required:
a. Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.
b. Using the sample from the 60 bottles, what is the test statistic?
c. At α = 0.05, what is your conclusion?

Answers

Answer:

a

The  null hypothesis is   [tex]H_o  :  \mu =  32.48[/tex]          

The alternative  hypothesis is   [tex]H_a  :  \mu  <  32.48[/tex]

b

  [tex]t  =  -1.504[/tex]

c

There is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48

Step-by-step explanation:

From the question we are told that

   The mean price of   is  [tex]\mu = \$ 32.48[/tex]

   The  sample size is n  =  56  

    The sample mean is  [tex]\=  x  =  \$30.15[/tex]

     The standard deviation is  [tex]\sigma =  \$12[/tex]

The  null hypothesis is   [tex]H_o  :  \mu =  32.48[/tex]          

The alternative  hypothesis is   [tex]H_a  :  \mu  <  32.48[/tex]

Generally the test statistic is mathematically represented as

       [tex]t =  \frac{\= x  - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=>    [tex]t =  \frac{30.15  - 32.48 }{\frac{12 }{\sqrt{60} } }[/tex]

=>    [tex]t  =  -1.504[/tex]

Generally the p-value  is mathematically represented as

      [tex]p-value  =  P (t < -1.504 )[/tex]

From the z-table  

    [tex]P(t <  -1.504) =   0.066291[/tex]

So  

    [tex]p-value  = 0.066291 [/tex]

From the value we obtain we see that  

    [tex]p -value  >  \alpha[/tex]

Then we fail to reject the null hypothesis  

   Hence there is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48

(1-cos^2 60°)+(1-sin^2 60°)=tan^2 60°​

Answers

(1-cos^2 60°)= sin^2 60°
(1-sin^2 60°) = cos^2 60°
Sin^2 60° + cos^2 60°= tan^2 60°

three times a number m

Answers

Answer:

3n

Step-by-step explanation:

3 x n

simplifies to be

3n

hope this helps

nicholas started a canned food drive at school. the equation representing this is y=235=15, where x is the number of days, and y is the number of cans collected. explain how to determine how many days it would take to collect 2600 cans.

Answers

Answer:

195 cans will be left after 10 days

Sample Answer: I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Step-by-step explanation:

i did the edge thing

Answer:

I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Step-by-step explanation:

hope this helps

did it on edge

have a good day

How do I find x in this equation?

Answers

Answer:

Exact Form:

x

=29/20

Decimal Form:

x=1.45

Mixed Number Form:

x=1 9/20

Step-by-step explanation:

I did that before trust me I know

In an auditorium, the front 39 rows with 53 seats in each row are for kids while all 53 seats in each of the remaining 61 rows are for adults. How many seats are there in the auditorium?

Answers

Answer:

The auditorium has a total of 5,300 seats

Step-by-step explanation:

The seats for kids can be calculated by multiplying the number of rows by the number of seats per row:

Seats for kids=39*53 =2,067 seats

The seats for adults are calculated in a similar way:

Seats for adults = 61*53= 3,233 seats

Total seats: 2,067+3,233 = 5,300

The auditorium has a total of 5,300 seats

i’ve been on this question for 22 minutes please help me

Answers

Answer:

F

Step-by-step explanation:

A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?

Answers

Answer:

20 km/hr

Step-by-step explanation:

The total time she takes to travel 10 km is 30 minutes of 0.5 hours.

To calculate speed, we can divide the distance traveled by the time it takes.

[tex]s = \frac{10}{0.5} = 20[/tex] km/hr

Rephrase: what is 35% of $120?

Answers

35% of $120 is 42 US$

Adam has $450. He spends $210 on food. Later he divides all the money into four equal parts. Then gives three parts to his friends, and he keeps one for himself. Later, he found $50 on the road.

Answers

Answer:

$110

Step-by-step explanation:

450-210= 240÷4= 60 +50=110

A restaurant is making hamburgers. The cooks use 2/3 pounds of beef for each hamburger. If the cooks have 46 and 2/3 pounds of beef, how many hamburgers can they make?

Answers

Answer:

They can make 49 hamburgers

Step-by-step explanation:

Answer:

They can make 49 hamburgers

Step-by-step explanation:

Given:
A= The square root of 3
B= 2 times the square root of 3
C= The square root of 25
D= The square root of 16
Which expressions result in a rational number? Select all that apply.

a. a+b
b. c+d
c. a+d
d. a*b
e. b*d
f. c*d
g. a*a

Answers

Answer:

b, d, f, g

Step-by-step explanation:

Given:

A= √3 B= 2 √3 C= √25  = 5D= √16 = 4

Possible expressions resulting in a rational number are the product of A and B and any combination of C and D as they are rational

Correct choices

b. c+d  = 5+4 = 9d. a*b  = √3×2√3 = 2×3 = 6f. c*d  = 5×4 = 20g. a*a = √3×√3 = 3

Can someone help me plz

Answers

Answer:

Answer 3

Step-by-step explanation:

Answer:

A. 27

Step-by-step explanation:

trust me

13+18 times 3 what does this equal

Answers

93 is the answer hope I helped

Answer:

93

Step-by-step explanation:

13+18 = 31

31x3= 93

Two sides of a triangle have lengths 5 and 4. Which of the following can NOT be the length
of the third side?
A.1
B.4
C.2
D.3

Answers

Answer:

im guessing b.4

Step-by-step explanation:

It is not possible to have a) 1 as one f the third side of the triangle

What is triangle inequality theorem ?

It defines the relationship between the sides `of a triangle .

The triangle inequality theorem states that sum of length of two sides of a triangle is greater than the length of the third side .

a + b > c

correct answer option a) 1

it is not possible to make a triangle if one side is 1 because triangle inequality theorem will be violated

1 + 4 = 5 and not greater than 5

hence , not possible

learn more about triangle inequality theorem

https://brainly.com/question/1163433?referrer=searchResults

#SPJ2

I need help please! 7:44 est need rn

Answers

Answer:

B. [tex]3^{6}[/tex]

Step-by-step explanation:

[tex]3^{8} = 6561[/tex]  [tex]3^{2} = 9[/tex]  6561 ÷ 9 = 729Option B, [tex]3^{6}[/tex], is equal to 729, so that is the right answer.

I hope this helps!

There is The Question and answers

Answers

m3
—— correct me if I’m wrong please
216

Answer: -1/8                                                                                                                            

Step-by-step explanation:


i’ll mark brainlest to whoever answers this question first! :)

Answers

Answer:

me

Step-by-step explanation:

what is l4x-4l+10=3x

Answers

Answer:

x=−6

Step-by-step explanation:

4x−4+10=3x

Step 1: Simplify both sides of the equation.

4x−4+10=3x

4x+−4+10=3x

(4x)+(−4+10)=3x(Combine Like Terms)

4x+6=3x

4x+6=3x

Step 2: Subtract 3x from both sides.

4x+6−3x=3x−3x

x+6=0

Step 3: Subtract 6 from both sides.

x+6−6=0−6

Answer:

l4x-

Step-by-step explanation:

Sorry I hope this is it I hoped it help sorry.

please leave a thanks.

(9x-2y)/xy when x-4 and y=-2​

Answers

Answer:

-5

Step-by-step explanation:

Answer:

GIVEN x=4 and y=-2

So, in (9x-2y)/xy when we apply x=4 and y=-2​

{9(4)-2(-2)}/(4)(-2)

36+4/-8

40/-8

-5/1

=-5

P= 2/ + 2w Find The Width

Answers

9514 1404 393

Answer:

  W = P/2 -L

Step-by-step explanation:

Divide by 2 and subtract L.

  P = 2L +2W

  P/2 = L +W

  P/2 -L = W

The width is ...

  W = P/2 -L

i need help in geometry :(

Answers

9514 1404 393

Answer:

  82 ft

Step-by-step explanation:

We can find the value of x by making use of the fact that corresponding angles have equal measures.

  ∠K = ∠N

  20x -10 = 15x +15

  5x = 25 . . . . . . . . . . add 10-15x

  x = 5 . . . . . . . . . . . .  divide by 5

Then the side lengths are ...

  JK = (4x -4) ft = (4·5 -4) ft = 16 ft

  KL = (5x +1) ft = (5·5 +1) ft = 26 ft

And the perimeter is the sum of side lengths:

  16 ft + 26 ft + 40 ft = 82 ft

The perimeter of each pool is 82 feet.

4 pound tomato cost 14 dollar how much does 1 pound cost

Answers

Answer:$3.50

Step-by-step explanation:

14/4 =3.5. To check answer multiply 3.5 by 4. You get 14

A coral reef grows 0.12 minutes every week. How much does it grow in 8 weeks?

Answers

Answer:

0.96

Step-by-step explanation:

0.12 x 8 = 0.96

50 PONTIS Score for Question 3: ___ of 5 points) 3. Solve the given inequality and graph the solution on a number line. Show your work! -2x + 3 < 5

Answers

Answer:

If x equals -1 or anything less than -1, then the inequality statement is false

Step-by-step explanation:

So to find the number x has to be for the statement to be false, we have to find what number x would be to make it so both sides equal the same thing. So in this case, it would be -1 because 5-3 equals 2 and -2x=2 only if x=-1. So anything greater than -1 would make the statement true.

I hope this helped.

Answer:

x > - 1 or x = (-1, + oo)

Step-by-step explanation:

Given

Inequality

-2x + 3 < 5To findSolve and graphSolution-2x + 3 < 5-2x < 5 - 3-2x < 2x > - 1x = (-1, + oo)

As per above, the graph covers all numbers to the right from the point -1

The graph is attached

What is the least common multiple of 9, 17, and 51? A. 51 B. 102 C. 153 D. 867

Answers

Answer:

C. 153

Hope this helps

shshsgshsh

Answer:

C. 153

Step-by-step explanation:

I just did this quiz and got it right!! Hope this helps! :D

Patty walked 2/5 of a mile in 5 1/2 minutes. At this rate, how long will it take Patty to walk 3 miles?

Answers

Answer:

41.25 minutes i think sorry if its wrong

Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate.

How much did Diego pay for the 12 books?

PLEASE INCLUDE AN EXPLANATION

Answers

Answer:

$36

Step-by-step explanation:

i dont know how to explain it but heres the number answer

Answer:

well 3÷13= 4.33 and 4.33×12=52

Other Questions
In translated English, the audio states: I want to buy a property of less than six hundred and sixty square meters in the city. My budget is six hundred thousand dollars. I don't need a garage and I prefer a balcony over windows. How many inch thick books can fit on a 14 1/2 inch-long bookshelf? 4. Sophie can type 128 words in 3 minutes.How many minutes will it take her to type 576words? how many partial products are in area model A After Batman brought the Joker to justice, the crime rate in Arkham City decreased by 12\%12%12, percent. Previously, the crime rate was ccc incidents per 100010001000 people. pls help me a. 19.6b. 25.8c. 18.1d. 20.4 1. Define stress. Why is stress necessary for life? 2. Give an example of an involuntary response to a stressor. 3. Define stressor. Give an example of a person, situation, and thought that could serve as a stressor. 4. How might a person's response to a stressor affect his or her health? 5. How might stress affect an individual's mental health? Social health? 6. Compare eustress and distress giving examples of each. 7. Explain what make the stress response such an individualized.8. Define the term time-management skills.9. Which personality type- type A or type B is more prone to stress? Explain.10. How can setting priorities be an effective way of managing stress?11. Compare five defense mechanisms, giving an example of each.12. Are there circumstance when being a type A personality is preferred over being a type B personality? Explain When asked, "What is the purpose of paper?" Kenyatta answered, "for writing on." Thinking "outside of the box," Geraldo added "to make airplanes, to make spit balls, to play paper football, and to use as place mats." Geraldo's response best demonstrates - thinking. Who is the father of literature Given A and B are vertical angles with mA = 20x + 10 and mB = 30x 10. What is x? 3.6 4 2 9 i will give brainliest Andrew bought 16 pears. He ate 4 pears. What percentage of the pears did Andrew eat? (1 point)25%32%40%64% What Islamic achievement was the most significant? Why? Task 3: Analyse the following cartoons (Identify the topic. / Describe the different elementsin detail. / Interpret the meaning of the cartoon.)How do the messages of the cartoon relate to the movie The Day After Tomorrow?-BrexitFREELASWHOARE WEGOING TOBLAME FORCOR PROBLEMSNow?CHAPRATTEhatersNur timesTHINKTHEY'LLPAYATTENTIONTO USNOW!DANGERclimateChange Match each characteristic communication strategy with its description.AssertiveHarsh tone of voice; angry;vengefulAggressiveSelf-confident; presentsthoughts and feelings what expression is equivalent to -3x^2 - 24x - 36 Given:A= The square root of 3B= 2 times the square root of 3C= The square root of 25 D= The square root of 16Which expressions result in a rational number? Select all that apply.a. a+bb. c+dc. a+dd. a*be. b*df. c*dg. a*a 1. Antes de 2007,la guerra en Irak.2. Antes de 1492, Cristbal Colnv las Amricas.3. Antes de 1955, John F. Kennedy4. Antes de 1920, un hombreen la luna.5. Antes de 2004, George W. Bushen unas elecciones presidenciales. In what ways is a sodium atom different from a sodium ion? * Ill give brainliest answer to the most interesting fear someone has Suppose that the number of bacteria in a certain population increases according to an exponential growth model, with a growth rate of 19% per hour. Suppose also that a sample culture of 2300 bacteria is obtained from this population. Find the size of the sample after five hours. Round your answer to the nearest integer.