The boundary line of a linear inequality passes through the points (3,0) and (0,6). The points (3,0) and (2,6) are not solutions of the inequality. Write the linear inequality

Answers

Answer 1

Answer:

[tex]y<-2x+6[/tex]

Step-by-step explanation:

The boundary line of a linear inequality passes through the points (3, 0) and (0, 6).

The points (3, 0) and (2, 6) are not solutions of the inequality.

We want to find the equation of the linear inequality.

First, we will simply find the line that crosses the points (3, 0) and (0, 6).

We can determine the slope to be:

[tex]\displaystyle \frac{6-0}{0-3}=\frac{6}{-3}=-2[/tex]

Notice that (0, 6) is the y-intercept.

Then by the slope-intercept form:

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

Our equation will be:

[tex]y=-2x+6[/tex]

Now, we will need to determine our inequality sign.

First, (3,0) is on the boundary line yet it is not a solution. Therefore, our line is dotted. That is: we do not have the "or equal to" statement.

So, our inequality signs can only be either < or >.

We are given that (2, 6) is not a solution.

So, we can test for the sign. Substitute 2 for x and 6 for y:

[tex]\displaystyle 6\text{ }?\text{ }-2(2)+6[/tex]

Evaluate:

[tex]\displaystyle 6\text{ } ?\text{ } 2[/tex]

Since 6 is not a solution, the above statement needs to be false.

It will be false is the sign is <, since 2 is not greater than 6.

Therefore, our sign is <.

And our inequality is:

[tex]y<-2x+6[/tex]


Related Questions


xy^2/xy + x^2y^2
ANSWER ASAP WILL GIVE BRAINLY

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Answer:

x (y^2xy + xy^2)

Step-by-step explanation:

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Answer:

The average number of points scored by a member of the team.

Step-by-step explanation:

The center of the data is another phrase for the mean of the data

Mean: the average of all data given (Add all the numbers up and divide by the amount of numbers there are).

Hope this helped :)

Answer:

I believe the answer would be A.

Step-by-step explanation:

You can get rid of B. and C. since it is in the middle. The highest would be at the top/right side and the lease would be at the bottom/left side. Then the total score does not make much sense because you would have to add up every number

WILL MARK YOU BRAINLIEST

Answers

Answer:

because WXYZ is a rhombus

=> WX // YZ

=> ZWX + WZY = 180⁰

=> WZY = 180 - ZWX = 180 - 77 = 103

help ???????????????

Answers

1. 6 people
2. 52 people
3. 13 people said it takes less than half hour, and 13 people said it takes longer than half hour. It’s a tie.
4. When asked, it takes most people either 30 minutes or 60 minutes.

Answer:

1. 14 people said 1 hour or more

2. 52 people

3. 13 people said it takes them less than half an hour and 13 people said it takes them more than half a hour. difference is 0

4. the data is taken in pairs of 2 people

Step-by-step explanation:

bottom question

5- 2

10 - 6

15 - 4

20 - 6

25 - 0

30 - 8

35 - 4

40 - 0

45 - 6

50 - 2

55-0

60-8

65-6

hi!!! what’s the area and formula for this problem??

Answers

Answer:

134.28 m²

Step-by-step explanation:

I suppose this is an isosceles triangle

tan 75° = 2 + √3 = 3.73 = h / 6      (h: height and 6 = 12/2, 1/2 of base)

h = 6 x 3.73 = 22.38

Area = (12 x 22.38) / 2 = 134.28

Solve for A.
BA + C = D
1)A = D-B-C
2)A = (D-C)/B
3)A = (C - D)B
please hurry

Answers

i’m 95% sure the answer is 2

How does collecting like terms in an expression differ from collecting like terms in
an equation/inequality? Explain.

Answers

Answer:

I think its different from each other because maybe combining like terms in a inequality your trying to compare them? Or maybe they're just advanced. Can someone give me an example of an inequality please so I can try finding out the difference?

please help again :,)) is it one solution, all solutions, or one
please show your work.

Answers

Answer:

Infinite many solutions

Step-by-step explanation:

If you graph it there is only 1 line

PLZ HELP ME WITH THIS QUESTION!

Answers

Answer:

15

Step-by-step explanation:

Answer:

the answer is 15

Step-by-step explanation:

No more than 15 copies of a newspaper are left in the newspaper rack. Write an inequality to represent this situation.

Answers

Answer:

0≤x≤15

Step-by-step explanation:

HELP PLZ there are no answer choices plz

Answers

the answer would be 12.5
if this is scale factor .. you have to divide the side by each other
10/4 = 2.5
20/8 = 2.5
which means 5 multiply by 2.5 equals 12.5

5(6-3)+2
A) -29
B) -13
C) 17
D) 25
E) 29

Answers

Answer: 17

Step-by-step explanation:

Answer:

C=17

Step-by-step explanation:

PEMDAS

5(6-3)+2=

5(3)+2=

15+2=

17

Can somebody plz help solve each questions for what it equals correclty thanks so much :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST !!:DD

Answers

25.) m = 32

26.) p = 42

27.) r = 24

28.) x = 45

please help asap!!!!!!!!!!!!

Answers

7853.98mm

Step-by-step explanation:

Circumference is pi times diameter so the diameter is 100 millimeters

Diameter is 2 times the radius so the radius is 50 millimeters

Area is pi times the radius squared so the area is about 7853.98 millimeters squared

Answer:

A = 795.77

Step-by-step explanation:

Using the formulas

A=πr2

C=2πr

Solving forA

A=C2

4π=1002

4·π≈795.77472

Is the triangle a right triangle?use the Pythagorean theorem and its converse to explain why or why not.

Answers

Answer:

i believe it is f

Step-by-step explanation:

20 divided by c write an algebraic expression for the word expression ​

Answers

Step-by-step explanation:

The algebraic expression is

20

----

c

or

20/c

You purchase a new shirt that cost $15.00. Sales tax is added at the register at a rate of 8%. How much sales tax will be added to the cost of the shirt when you pay for it.

Answers

Answer:

16.2 U.S. Dollars  -  I hope this helps! :D

Step-by-step explanation:

URGENT PLEASE HELP
6
Solve for b.
b = ✓ [?]
IN
E
b
Enter the number that
goes beneath the
radical symbol.

Answers

Answer:

6.32

Step-by-step explanation:

6^2 - 2^2

✓40

=6.32455532

2d.p = 6.32

Solve for x: 5x-4(х+3)=8

Answers

Answer:

x=20

Step-by-step explanation:

It took the football team 5 h to travel from Titletown, a total distance of 1320 km. Part of the trip was by bus and the remainder by plane. The bus averaged 40 km/h and the plane 600 km/h. How many hours were spent travelling by bus?

Answers

Answer:

It took 2 hours by plane

Step-by-step explanation:

let bus is represented by x and plane is represented by y

the total distance of bus and plane will be represented by equation:

40 x + 600 y = 1320           (1)

the total time taken by bus and plane will be represented by:

x + y = 5                              (2)

solving equations (1) and (2) simultaneously:

Multiply by 40 on both sides in eq (2)  and then subtract (1) and (2)

40 x + 600 y = 1320

40 x + 40 y = 200

_______________

         560 y = 1120

               y   = 1120/ 56

               y= 2

since plane is represented by y so, the time they spent travelling by plane is 2 hours.

6) A circular window on a boat has a diameter of 24
inches. Approximately how much wall space does the
window take up?
A 38 in?
B 75 in?
C 113 in?
D452 in?

Answers

Answer:

452.448in² options D

Step-by-step explanation:

A circular window on a boat has a diameter of 24

inches. Approximately how much wall space does the

window take up?

A 38 in?

B 75 in?

C 113 in?

D452 in?

Given data

D=24 inches

Radius =d/2= 24/2= 12 inches

Area A

A=πr²

Substitute

A=3.142*12²

A=3.142*144

A=452.448in²

I need help. I have no idea how to do this!

Answers

Answer:

A ≈ 5.1 units²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] × 2 sides × sin (angle between them ) , then

A = 0.5 × 7 × 3 × sin29° ≈ 5.1 units²

Find x, y, and z. (Round to the nearest tenth if needed.)
12
у
X
N

Answers

Answer:

I'm sorry that your frog is dead, at least now we can fry his legs ~~tasting like chicken ~~~~~~flavor ain't missing


Given that R = 6x + 3y
Find y when x = 2 and R = 14
Give your answer as a fraction in its simplest form.​

Answers

Answer:

y = 2/3

Step-by-step explanation:

14 = 6(2) + 3y

14 = 12 + 3y

2 = 3y

y = 2/3

please help me someone with this problem

Answers

I would help you but the picture is blurry

A quantity with an initial value of 6900 grows exponentially at a rate
of 40% every 8 hours. What is the value of the quantity after 2.75
days, to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

2.75 days * (24 hours)/day = 66 hours

6900(1.40)^(66/8) = 119,765.72

Answer:

110765.72

Step-by-step explanation:

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x^2 – 100

Answers

Answer:

(x+10)(x-10)

Step-by-step explanation:

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Answers

Answer:

2x+3y=12$

3x+2y=19$

Hope it helps

I need help Please!!!!​

Answers

i think it’s 48 inches

Answer:

48 inches

Step-by-step explanation:

[8/3](18) =48

Write an equation of a line that passes through the point (1, 2) and is perpendicular to the line y=-1/4x+2​

Answers

Answer:

y = 4x - 2 would be the equation

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