which point lies in the solution set of the inequality 1/2(x+2)+3y<8?

Answers

Answer 1

Note: Options are missing. So, the general solution of the given inequality is shown below.

Given:

The inequality is:

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

To find:

The point lies in the solution set of the given inequality.

Solution:

We have,

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

It can be written as:

[tex]\dfrac{1}{2}(x)+\dfrac{1}{2}(2)+3y<8[/tex]

[tex]\dfrac{1}{2}x+1+3y<8[/tex]

[tex]\dfrac{1}{2}x+3y<8-1[/tex]

[tex]\dfrac{1}{2}x+3y<7[/tex]

All the points that satisfy the above inequality are in the solution set of the given inequality.

For example (0,0).

[tex]\dfrac{1}{2}(0)+3(0)<7[/tex]

[tex]0<7[/tex]

This statement is true. It means (0,0) is in the solution set.

For example (0,3).

[tex]\dfrac{1}{2}(0)+3(3)<7[/tex]

[tex]9<7[/tex]

This statement is false. It means (0,3) is not in the solution set.

The graph of the inequality [tex]\dfrac{1}{2}x+3y<7[/tex] is shown below.

All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.

Which Point Lies In The Solution Set Of The Inequality 1/2(x+2)+3y&lt;8?

Related Questions

Marian asked 25 students the following questions in a survey.
1. Are you male or female?
2. Do you wear glasses?
Marian's results are shown below.
There were a total of 15 female students who were surveyed.
• There were 17 students who wear glasses.

Answers

Answer:

Step-by-step explanation:

Hudson wants to write a letter to his friend. He took out
square paper which covers the total area of 225 feet^2
.
What is the length of any side of the paper?

Answers

Answer:

length = 15 feet.

Step-by-step explanation:

This paper is 15 feet across on any side. Who will deliver this monster?

Area = s^2 where s is the length of 1 side.

Area = 225 feet^2  (You sure this isn't inches).

s^2 = area

s^2 = 225        Take the square root of both sides of the equation.

sqrt(s^2) = sqrt(225)

s = 15

John is 8 years younger than Ahmad. If the sum of their ages is 38, how old is John?

Answers

Let x equal Ahmad’s age.
Since John is 8 years younger than Ahmad, the equation would be as follows:

x+x-8=38

Solve for x:

2x-8=38
38+8=46
2x=46
x=23

23 is Ahmad’s age, subtract 8 from this and you’ll get 15 for John’s age.

Got another question for you lovely folk, don’t understand how to do this one either

Answers

Answer:

97.12°

Step-by-step explanation:

the value of the highlight angle =

tan~¹ 1/3 + tan~¹ 5/1 =

18.43° + 78.69° = 97.12°

The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.)


Numerical Answers Expected!

Answer for Blank 1:

Answers

Answer:

54

Step-by-step explanation:

Surface area of triangular prism = bh + L(s1 + s2 + s3)

Where,

b = 3

h = 4

L = 3.5

s1 = 3

s2 = 4

s3 = 5

Plug in the values into the equation

Area of the triangular prism = 3*4 + 3.5(3 + 4 + 5)

= 12 + 42

= 54 units²

Brainliest goes to whoever answers correctly I have other questions if you want more points

Answers

Answer:

B, E, F

Step-by-step explanation:

Answer:

B, F

Step-by-step explanation:

A is false; the slope of function Z is 1/4 and the slope of function W is 1/2. 1/2 is greater than 1/4.

B is true. The slope of function Z is less then the slope of function W.

C is false, the y-intercept of function Z is -2 and the y-intercept of function W is -1. They are not the same number.

D is false, the y-intercept of function W is greater than Function Z.

E is false, -3 and -3 are equal

Function W:

y = 1/2x - 1

y = 1/2(-4) - 1

y = -4/2 = -2

y = -2 - 1

y = -3

Function Z:

y = 1/4x - 2

y = 1/4(-4) - 2

y = -1 - 2

y = -3

F is true, if y = -4 for functions W and, they would both be equal.

Please help I’ll give brainliest

Answers

Answer:

[tex]A=60m^2[/tex]

Step-by-step explanation:

formula for area of a parallelogram is [tex]A=bh[/tex] where [tex]b[/tex] stands for base and [tex]h[/tex] stands for height.

[tex]A=12(5)[/tex]

[tex]A=60[/tex]

Help me please , show your work

Answers

you’ll have to divide 4 and 33 which would equal 0.121212 which keeps going and it would be a rational :)

Solve the equation
3/4x+3-2x= -1/4+1/2x+5
Please help I have tried everything and I haven’t gotten the right answer and it won’t let me move on

Answers

3/4x + 3 - 2x = -1/4 + 1/2x + 5

Put in terms of 4 as denominator
3/4x + 12/4 - 8/4x = -1/4 + 2/4x + 20/4

Combine like terms
-5/4x + 12/4 = 2/4x + 19/4

Simplify
12/4 = 7/4x + 19/4
-7/4 = 7/4x
x = -1 :)

Check:
3/4(-1) + 3 - 2(-1) = -1/4 + 1/2(-1) + 5
-3/4 + 3 + 2 = -1/4 - 1/2 + 5
-3/4 + 5 = -3/4 + 5
-3/4 = -3/4 :)

9-3 additional practice circles in the coordinate plane

Answers

Answer:

1. The center is (-5, 6)

The radius is 11

2. The center is (3, -9)

The radius is 6

3. The center of the circle is (-4, -2)

The radius is 3

4. The coordinate of the center of the circle is (2, 2)

The radius of the circle is 4

5. The equation of the circle is (x - 4)² + (y + 3)² = 2²

6. The equation of the circle is (x + 1)² + (x - 10)² = 7²

7. The given point (6, 8) does not lie on the circumference of the circle

8. Yes, the point (√17, 4) lies on the circumference of the circle

9. Please find the attached graph created with the aid of MS Excel

10 Please find the attached graph created with the aid of MS Excel

11. The equation of the circle is (x - a)² + (y - b)² = c²

12. The equation of the circle is x² + y² = 1

Step-by-step explanation:

1. The equation of the circle is (x + 5)² + (y - 6)² = 121

The standard form of the equation of a circle is (x - h)² + (y - k)² = r²

Where;

The center of the circle = (h, k)

The radius of the circle = r

By comparison we have;

h = -5, k = 6, and r = √121 = 11

The center of the circle, (h, k) = (-5, 6)

The radius of the circle, r = 11

2. (x - 3)² + (x + 9)² = 36

Similar to question 1, above, we have by comparison;

h = 3, k = -9, r = √36 = 6

The center of the circle, (h, k) = (3, -9)

The radius of the circle, r = 6

3. From the graph of the circle on the coordinate plane, we have;

The center of the circle = (-4, -2)

The radius of the circle =  -1 - (-4) = 3

4. From the graph of the locus of the circle, we have;

The coordinate of the center of the circle, r = (2, 2)

The length of the radius of the circle = The distance from the center  to the point (-2, 2)

Therefore, the radius of the circle, r = 2 - (-2) = 4

5. The given radius of the circle, r = 2

The center of the circle, (h, k) = (4, -3)

The equation of a circle in standard form is  (x - h)² + (y - k)² = r²

By comparison, we have the equation of the circle given as follows;

(x - 4)² + (y - (-3))² =  (x - 4)² + (y + 3)² = 2²

The equation of the circle is (x - 4)² + (y + 3)² = 2²

6. The given radius of the circle, r = 7

The center of the circle, (h, k) = (-1, 10)

The equation of a circle in standard form is  (x - h)² + (y - k)² = r²

By comparison, we have the equation of the circle given as follows;

(x - (-1))² + (y - 10)² = (x + 1)² + (y - 10)² = 7²

The equation of the circle is (x + 1)² + (x - 10)² = 7²

7. The given point = (6, 8)

The radius, r = 4

The center of the circle = (3, 5)

The point lies on the circle if the distance. 'd', from the point to the center of the circle = The radius of the circle

∴ d = √((6 - 3)² + (8 - 5)²) = √((3² + 3²) = √(18) = 3·√2

Given that the distance from the point to the center of the circle, d = 3·√2 ≠ 4 = r, the point (6, 8), does not lie on the circumference of the circle

8. The point = (√17, 4)

Radius, r: 9

The center: (0, -4)

The distance from the point to the center of the circle, d = √((√17 - 0)² + (4 - (-4))²) = 9 = r, the radius of the circle

Therefore, given that the distance of the point from the center of the circle = The radius of the circle, the point, (√17, 4), lies on the circumference of the circle

9. The given equation of the circle is (x - 5)² + (y - 1)² = 49

Comparing with the equation of a circle in standard form, we have;

The center of the circle, (h, k) = (5, 1)

The radius of the circle, r = √49 = 7

Please find the attached graph created with the aid of MS Excel

10. The given equation of the circle is x² + (y - 3)² = 25

The center of the circle, (h, k) = (0, 3)

The radius of the circle, r = √25 = 5

Please find the attached graph created with the aid of MS Excel

11. Given that the center of the circle is (a, b) and the radius of the circle is c, the equation of a circle in standard form, (x - h)² + (y - k)² = r², becomes;

(h, k) = (a, b)

r = c

∴ (x - a)² + (y - b)² = c²

12. The diameter of the circle, d = 2 in.

The center of the circle = The origin with coordinates, (0, 0)

Therefore;

The radius of the circle. r = d/2 = 2 in./2 = 1 in.

The center of the circle, (h, k) = (0, 0)

The equation of the circle is therefore;

(x - 0)² + (y - 0)² = 1²

Which gives the equation of the circle as x² + y² = 1.

Find the distance between the ordered pairs to
the nearest hundredth.
(1,-8) and (2,4)

Answers

Answer:

12.05

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(2 - 1)² + [4 - (-8)]²

√(1)² + (12)²

√(1) + (144)

√145

12.05

Use the slope formula to find the missing coordinate.

m = -7/2 , T(13, 2), W(_, -5)

-11
15
11

Answers

15

Answer:

Solution given;

m = -7/2 , T(13, 2), W(_x, -5)

m=(y2-y1)/(x2-x1)

-7/2=(-5-2)/(x-13)

-7/2=-7/(x-13)

doing crisscrossed multiplication

x-13=2

x=2+13

x=15

Answer:

the answer is 15

Step-by-step explanation:

correct me if I'm wrong thanks

. For the function y= -5x2 - 10x + c, the vertex is (-1,8). What is c? F. -13 G. -3 - J. 13 H. 3​

Answers

Answer:

c=3

Step-by-step explanation:

8=-5(-1)^2-10(-1)+c

8=5+c

c=3


Drag the ordered pairs to match the points shown on the coordinate grid.

Answers

Answer:

A) (3, 6)

B) (2, 3)

C) (4, 2)

D) (6, 0)

He’s good at math^ no cap g

Helppp plzzzzz pointttttts

Answers

Answer:

AD & BE

Step-by-step explanation:

1) AB+BD = AD

2)BC+CE = BE

Consider this function in recursive form.

A1 = -8

An = 3 + an-1

Enter an equivalent equation written in explicit form where n is the term number.

Type your response in simplest form. Do not type any spaces in your response.
an

An = _____

Answers

Answer:

Step-by-step explanation:

Io

Solve:
ab^2-(a-c)b-c=?

Answers

Answer:

ab^2-(a-c)b-c

ab^2-ab+bc-c

ab(b-1)+c(b-1)

(b-1)(ab+c)

Find the area of the triangle defined by the coordinates (-3,-4), (-7.0), and (-3, 4).

Answers

i think D is the answer 16

Question Progress
Homework Progress
31/ 127 Marks
There are between 24 and 40 students in a
class.
The ratio of boys to girls is 4:7
How many students are in the class?

Answers

Answer:

Step-by-step explanation:

The ratio of boys is 4/11

You need a number that is divisible by 11.

11 represents the number of students in the class. That was obtained by adding 4 and 7 together. So there are 4/11 boys and 7/11 girls.

You could try 33 which is between 24 and 40

4/11 * 33 = 12

There are twelve boys in the class.

7/11 * 33 = 21

There are 21 girls in the class.

21 + 12 = 33 which is exactly what you need.

p(Febuary 31) Calculate the probability of the event

Answers

Answer:

You can't find the probibilty of the event because it doesn't exist

Step-by-step explanation:

step by step explanation pls

Answers

Answer:

For the first circle: x=40°

For the second circle: x=94°

Step-by-step explanation:

First circle:

The angle you are trying to figure out is congruent to the 40° angle. This is because they are parallel to one another with a perpendicular intersection.

Second circle:

The angle starting in the center of the circle is twice as large as the angle starting at the edge of the circle.You need to do a little math:20+27 = 4747x2 = 94°

A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $5.45 to download 2 individual songs and 3 albums. Person B pays $8.41 to download 5 individual songs and 4 albums. Write a system of linear equations that represents this situation. How much does the website charge to download a song? an entire album?

Answers

Answer:

Amount charged for downloading individual songs = x dollars

Amount charged for downloading an entire album = y dollars

In respect to person A:

6x + 2y = 25.92

3x + y = 12.96

y = 12.96 - 3x

In respect to person B:

4x + 3y = 33.93

Putting the value of y from the first equation in the second, we get

4x + 3(12.96 - 3x) = 33.93

4x + 38.88 - 9x = 33.93

- 5x = - 4.95

x = 0.99 dollars

Putting the value of x in the first equation, we get

y = 12.96 - 3x

  = 12.96 - 2.97

  = 9.99 dollars

Step-by-step explanation:

stuck on this ixl, help me!

Answers

Answer:

-1

Step-by-step explanation:

in negative numbers, it goes the opposite of positive numbers

The correct answer is -1.

Is this correct!! Can someone verify!!

Answers

Yeah, it’s totally correct.

ASAAAPPP PLEASE HELP!!

Answers

Answer:

C is correct

Step-by-step explanation:

Just add the exponents leaving you with 2 squared which is 4

Answer:

[tex]a^b*a^c=a^{b+c}[/tex]

[tex]2x^{1/2} *2^{3/2} =2^{1/2+3/2}[/tex][tex]=2^{4/2}[/tex][tex]=2^2[/tex][tex]=4[/tex]

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

hope it helps...

have a great day!!

What are the solutions of the equation x2 + 5x + 6 = 0? A. −3, 2 B. 6, −1 C. 6, 1 D. −3, −2

Answers

Answer:

D. -3,-2

Step-by-step explanation:

Let [tex]x^{2} +5x+6=0=(x+2)(x+3)\\[/tex], then  [tex]x+2=0[/tex] or [tex]x+3=0[/tex], thus [tex]x=-2[/tex] or [tex]x=-3[/tex]

evaluate the expression 4(n+5)-8 when n =1/4 and m=0.5

Answers

Answer:

17

Step-by-step explanation:

Given

4(n + 5) - 8m ← substitute n = 0.25, m = 0.5 into the expression

= 4(0.25 + 5) - 8(0.5)

= 4(5.25) - 4

= 21 - 4

= 17

Order the numbers −7​, 2​, −4​, 8 from least to greatest

Answers

Answer: -7, -4, 2, 8
-7,-4,2,8 that’s all

If f(x) = 1 - 2x^3, find the inverse of f.

Answers

Swap x and y's positions

f(x) is another way of saying y, so basically tha initial function is y = 1-2x^3.

Change it up to x = 1-2y^3 and solve for y

X - 1 = - 2y^3

(X - 1)/-2 = y^3

So the cube root of ((x-1)/2) = y

12) To make 84 tiny pancakes I need 3 /2 cups of mix, and 14 cups of water.
How much mix and water are needed to make 1 dozen tiny pancakes? Write
your answer in ratio format e.g., 0.75 : 1.5*

Answers

Answer:

1 dozen=12. 84/12=7. You answer SHOULD be 7:1 but I haven't done ratios in a while so don't quote me on it.

Step-by-step explanation:

Other Questions
Arianna earns a weekly salary of $400 plus a 6.5% commission on sales at a gift shop. How much would she make in a workweek if she sold $4800 worth of merchandise? What is the volume of the solid whose cross- sections are circular disks perpendicular to the x-axis and with diameters on the region bounded by the curves y = x and y=x^2? what is the area of the figure below? PLEASE HELP WITH THISFitness Resources In Your Community: Fitness is for LifeState one formal resource in you community eg gym/club, YMCA, Community centre (structured programs)Describe the programs available to you that you may be interested in. (3)How often are they offered per week? (1)Duration of the activity?(1)Membership requirements (3)Location (1) What is the difference between relative concepts and absolute concepts, and what do absolute and relative ideas negatively affect? Imagine you are reviewing a business plan. In which section of the business plan would you expect to find the answers to the following questions?Question Financial Statements Marketing & Sales Management Service or Product LineHow much money will the owners invest in the business start-up? How will the salespeople for this business be compensated? What are the unique features of this businesss merchandise? Two charged objects, A and B, are exerting an electric force on each other. What will happen if the charge on A is increased? . The charge on B will decrease.B. The charge on B will increase. C. The electric force between A and B will decrease. D. The electric force between A and B will increase. What category of sensor is a first responder likely to use to determine the oxygen level in a victim's blood? What could Vans do to keep its dealer network intact and supportive even after opening a corporate store in their market Drag each tile to the correct box.Match the narrative technique to the sentence that best demonstrates it.descriptionreflectiondialogueShe remembered how excited she had been when she startedher job. But now that feeling of excitement was gone."Aren't you excited to start your job today?" her motherasked. "It's really a great opportunity for you!"She was expected to write down the order carefully, filla box with the ordered items, and accept the paymentfrom the customer. 2021 Edmentum. All rights reserved.OO Economists generally agree that increases in the minimum wage increase employment.a. TRUEb. FALSE (adjective) Older people tire more easily.What is the adjective which process produce two genetically distinct haploid cells Discuss the challenges Middle East nations still face? What's the background of the night found poem balance the equationsH2+o2-H2oC+H2-Ch4CaCo3+HCL-CaCl2+Co2+H2o please help me I will mark as a brainliest The H substance is needed for the proper phenotypic expression of the A, B, and AB blood types in the ABO blood typing system in humans. Individuals who are recessive for the H substance (hh) will have a type O phenotype, even if they have the A and/or B alleles. Two individuals, each with type AB blood and heterozygous at the H locus have children. What is the probability they will have a child who is phenotypically type O? Is outline and rough draft the same? Tema 4. Escribe un texto de 5 lneas, que tenga cinco (5) verbos distintos conjugados. Resltalos en otro color.