How did you know that ordered pair satisfies the linear inequality in two variables?

Answers

Answer 1

Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.

What do you mean by a ordered pair?

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

What is linear inequality?

When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.

ordered pair=(1,2)

linear inequality equation,

[tex]4x_{1}-x_{2} > 0[/tex]

using value from ordered pair,

[tex]4*1 - 2 > 0[/tex]

[tex]2 > 0[/tex]

which is true. That is it satisfies the given linear inequality.

To learn more about inequality visit:

https://brainly.com/question/20383699

#SPJ4


Related Questions

Tú tienes la mitad de lo que tenías y tendrás el triple de lo que tienes. Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tú tendrás ¿Cuánto tenías? Ayuda por favor

Answers

Answer:

Nosotros teníamos 120 dólares.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] lo teníamos, lo que tenemos y lo que tendremos, respectivamente. A continuación, traducimos puntos claves del enunciado en expresiones matemáticas:

(i) Tu tienes la mitad de lo que tenías:

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

(ii) Tendrás el triple lo que tienes:

[tex]z = 3\cdot y[/tex] (2)

(iii) Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tu tendrás:

[tex]x+y+z = z + 180[/tex]

[tex]x + y = 180[/tex] (3)

En consecuencia, tenemos el siguiente sistema de ecuaciones lineales:

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

[tex]3\cdot y - z = 0[/tex] (2)

[tex]x + y = 180[/tex] (3)

La solución del sistema de ecuaciones es: [tex]x = 120[/tex], [tex]y = 60[/tex], [tex]z = 180[/tex].

Nosotros teníamos 120 dólares.

7(x-2)=21 help me with this answer plz show work

Answers

Answer:

x=5

Step-by-step explanation:

7 times x

7 times 2

7x-14= 21

14+14= 21+ 14

7x=35

x=5

7 times five equals 35

please helppppppppp lol

Answers

Answer:

x = 20

Step-by-step explanation:

angle 2 and 3 are congruent, becaus they are alternate interior angles. So, 3x-10 = x+30, 2x = 40, x= 20.

Which of these expressions or phrases can be used to represent the model choose all the correct answers



Pls no BOT part ;(

Answers

Step-by-step explanation:

anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.

For the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions. Pam's salary is $30,000, and last year, she contributed $4000 to her 401(k) plan. What was her employer's contribution to the 401(k)?  A. $4000  B. $3600  C. $2250  D. $1800

Answers

Her employer's contribution to the 401(k) was $2,500.

Calculus

Given that for the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions, and Pam's salary is $30,000 , and last year, she contributed $4000 to her 401(k) plan, to determine what was her employer's contribution to the 401(k) the following calculation must be made:

4000 / 12 x 3 = X1000 = X(4000 / 12 x 9) / 2 = X3000 / 2 = X1500 = X1000 + 1500 = 2500

Therefore, her employer's contribution to the 401(k) was $2,500.

Learn more about calculus in https://brainly.com/question/22810844

Answer: C. $2250

Step-by-step explanation: took the quiz.

ASAP HELP... I DONT UNDERSTAND.......

Answers

Answer:

8 is answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex]8^2[/tex] is also [tex]8*8[/tex]

[tex]8*8[/tex] is 64

Hope I helped

Select the equivalent expression. −4(2a−3)+5a
1. 3(a+4)
2. −3(a−4)
3. −3(a+4)
4. 3(a−4)

Answers

i think it’s number 4 not sure though

Subtract the following polynomials in this equation

Answers

A is the answer to your question

Which of the following 95% confidence intervals would lead us to reject Hp =0.30 in favor of
Hp *0.30 at the 5% significance level?
(a) (0.30, 0.38)
(b) (0.19, 0.27)
(c) (0.27, 0.31)
(d) (0.24, 0.30)
(e) None of these

Answers

According to the hypothesis tested, the confidence interval that would lead us to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_0: p < 0.3[/tex] is given by:

(b) (0.19, 0.27)

What are the hypothesis tested?

At the null hypothesis, we test if the proportion is of 0.3, that is:

[tex]H_0: p = 0.3[/tex]

At the alternative hypothesis, we test if the proportion is less than 0.3, that is:

[tex]H_1: p < 0.3[/tex]

We want to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_1: p < 0.3[/tex], hence we need an interval that is entirely below 0.3, which is given by option b.

You can learn more about confidence intervals at https://brainly.com/question/16236451

As shown in the figure, polyhedron ABCDEFGH is a cube and P is any point on face EFGH. Compare the
volume of the pyramid PABCD and the volume of the cube. Complete the explanation.
H
G
P
B
The volume of PABCD
vis
the volume of the cube v

Answers

Answer:

the volume of PABCD is 1/3 of the volume of the cube

Step-by-step explanation:

There are 4 red cars and 8 black cards in a bag. How is it likely that you will randomly draw a blue card

Answers

Answer:

C) Impossible

Step-by-step explanation:

Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.

Using the probabilities given, find the probability that a student earns a grade of A. (enter number in decimal form rounded to the nearest hundredth)​

Answers

Answer:

0.14

Step-by-step explanation:

Here, we want to find the probability that a student earns the grade of A

Mathematically, we have this as the frequency of A divided by the sum of all frequencies

From the question, the sum of all frequencies will be (5 + 10 + 15+ 3 +2) = 35

Now we place the frequency of A over this

This gives;

5/35 = 1/7 = 0.14

Multiply and simplify the following products. V stands for radical.
Example: (V5)2= (V5) (V5) = v(5 x 5) = 5
1. (19)
2. (V2) (13)
3. 2(12) x 3(3)

Answers

Answer:

(1) 9

(2) [tex]\sqrt{6}[/tex]

(3) 6([tex]\sqrt{6}[/tex])

Step-by-step explanation:

From the question,

(1) ([tex]\sqrt{9}[/tex])²

    Applyin the law of multiplication of surds

   ([tex]\sqrt{9}[/tex])²  = (

(2)  ([tex]\sqrt{2}[/tex])× ([tex]\sqrt{3}[/tex]) =

   Also applying the the law of multiplication of surd

   ([tex]\sqrt{2\\}[/tex])×([tex]\sqrt{3}[/tex]) =  ([tex]\sqrt{6}[/tex]) ( This is an irational answer)

   ∴ ([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])  = [tex]\sqrt{6}[/tex]

 (3) 2([tex]\sqrt{2}[/tex])×3([tex]\sqrt{3}[/tex])

     Also applying the law of multiplication of surds i.e Multiply surds to     surds and whole number to whole number

     = 2×3×([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])

       6×([tex]\sqrt{6}[/tex]) = 6(

find a distance between the two points

Answers

i dont seem to understamd

Step-by-step explanation:

To find the distance you need the distance formula. The distance formula is [tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2}-y_{1})^2 }[/tex]. Order the pairs with a 1 or a 2. Look at he point that you labeled 2. Substitute any of the points with a 2 subscript into the equation. The x value is the first number in the ordered pair and the y value is the second number in the ordered pair. Repeat this with the ordered pair you labeled as 1. Substitute the numbers in. You should get something like this: [tex]\sqrt{(-7-5)^{2} + (-7-9)^{2} }[/tex]. If you are doing this without a calculator, it is easier than you think. Remember PEMDAS? Well apply that with this. Find out the solution to the parenthesis first. The first parenthesis should come out with[tex](-12)^{2}[/tex]. Finish the expression off by evaluating the expontent. That comes out to 144. Try this with the next parenthesis... The answer should be 256. Your square root should look like this: [tex]\sqrt{144+256}[/tex]. Add the numbers under the parenthesis together and you should get [tex]\sqrt{400}[/tex]. I'm sure you have a calculator in you hand ready to solve this. NOW YOU FIND THE ANSWER!!!

Greg invests $500 in a savings account that earns 4% simple interest annually. If he does not make any additional deposits or withdrawals, how much money will be in the savings account after 5 years?

Answers

Answer:

600

Step-by-step explanation:

Find the area of the compound shape: *

Answers

Square Area: 64 in.
Triangle Area: 40 in.

Total Area: 104 in.

Hope this helps!!

help mee please i need this one right now

Answers

Answer:

where is the question

Step-by-step explanation:

chai

what is this i HATE math Oh MY GOD

Answers

As a Decimal it is 0.0625

Just need help with this !

Please anyone answer as soon as you can

Don’t send the link that hacks you :/

Answers

Answer:

check all boxes except for the last 1

Agree
All except the very last

3/2 inches of snow fell in 3/4 of an hour. Which TWO statements are correct?
A) The unit rate is 2 inches of snow per hour.
B) The unit rate is 3 inches of snow per hour.
C) The unit rate is 9/8 inches of snow each hour.
D) At the same rate, 4 inches of snow will fall in 6 hours.
E) At the same rate, 12 inches of snow will fall in 6 hours.​

Answers

Answer:

A) The unit rate is 2 inches of snow per hour.

&

E) At the same rate 12 inches of snow will fall in 6 hours.

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

did it on usatestprep

Solve for w.
-2 = w + 7

Answers

Answer:

-9

Step-by-step explanation:

I just took the same test

Find the area of the figure

Answers

the area of the figure is 30 because u have to add an subtract the numbers on the side

Find the slope of the line segment shown
A . -1/2
B.-1
C.1/2
D.1

Answers

Answer:

1 is the correct answer

Step-by-step explanation:

y2-y1/x2-x1=slope

-2-3/-3-2

-5/=-5

1

solve 0=-x^2+4x-2

a. -4
b. 8
c. 12
d. 24

Answers

Answer:

Question is not clear, and the options are none of the above

Step-by-step explanation:

J
L
N
M
If mZJKN = 28º and mZKLM = 103°, find mZJML.

Answers

Answer:

98°

Step-by-step explanation:

each half adds up to 180° so 103+28=131 then 180-131=49

and that would be just one of the bottom angles so you would double it to get 98

find the value of x in the triangle shown below

Answers

Answer:

√27

Step-by-step explanation:

use the pythagorean theorem

3²+x²=6²

9+x²=36

x²=27

√x²=√27

x=√27

if bc is the diameter of the circle below, what is the area of the circle

Answers

Answer:

option a.

radius of the circle=3 units.

area of the circle= pi×r²

area of circle=pi×3²

area of circle=pi×9units²

Answer:

It's A. 9π square units.

Step-by-step explanation:

You know that bc is equaled to 6 since when you count it inside the circle, you get 6. Then you find the radius by dividing 6 by 2. So the radius is 3. You find the area by using this formula. A = π*[tex]r^{2}[/tex]. r = 3, so 3 square is 9. You don't know what is pi so you just write 9π. Therefore, the answer is A. 9π square units.

G(b) = 5b- 9 h(b) = (b - 1)^2 Evaluate. (hog)(-6) =

Answers

Given:

The two functions are:

[tex]g(b)=5b-9[/tex]

[tex]h(b)=(b-1)^2[/tex]

To find:

The value of [tex](h\circ g)(-6)[/tex].

Solution:

We have,

[tex]g(b)=5b-9[/tex]

[tex]h(b)=(b-1)^2[/tex]

We know that,

[tex](h\circ g)(b)=h(g(b))[/tex]

[tex](h\circ g)(b)=h(5b-9)[/tex]

[tex](h\circ g)(b)=[(5b-9)-1]^2[/tex]

[tex](h\circ g)(b)=[5b-10]^2[/tex]

Putting [tex]b=-6[/tex], we get

[tex](h\circ g)(-6)=[5(-6)-10]^2[/tex]

[tex](h\circ g)(-6)=[-39-10]^2[/tex]

[tex](h\circ g)(-6)=[-49]^2[/tex]

[tex](h\circ g)(-6)=2401[/tex]

Therefore, the value of [tex](h\circ g)(-6)[/tex] is 2401.

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

Answer:

8) 22

9) cos 33°

10) 55

Step-by-step explanation:

[tex]8) \: \: \: \tan(x) = \frac{6}{15} \\ x = \tan^{ - 1} ( \frac{6}{15} ) \\ x = 21.8 \\ x = 22 \\ \\ \\ 9) \: \: \: \: \: \sin(57) = 0.83867.... \\ \cos(33) = 0.83867.... \\ \\ \\ 10) \: \: \: \cos(35) = 0.8192..... \\ \sin(55) = 0.8192.... \\ so \: \: \: z = 55[/tex]

I hope that is useful for you :)

what is the square root of 30​

Answers

Answer:

hi

Step-by-step explanation:

i think so...

[tex] \sqrt{30} = 5.47[/tex]

have a nice day

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