Which graph represents the solution set of the system of inequalities?
{ x+y<1
2y ≥ x-4

Which Graph Represents The Solution Set Of The System Of Inequalities?{ X+y&lt;12y X-4
Which Graph Represents The Solution Set Of The System Of Inequalities?{ X+y&lt;12y X-4
Which Graph Represents The Solution Set Of The System Of Inequalities?{ X+y&lt;12y X-4
Which Graph Represents The Solution Set Of The System Of Inequalities?{ X+y&lt;12y X-4

Answers

Answer 1

Answer:

The graph in option (c) is the correct answer.

Step-by-step explanation:

The line corresponding to the inequality [tex]x+y<1[/tex] represents the dashed line and the line corresponding to the inequality [tex]2y\geq x-4[/tex] represents the solid line.

In order to figure out the correct shaded region, we test one point from each of the four possible regions and figure out the point at which both the inequalities bold true. The region containing that point would be the correct shaded region.

Let us test the point (0,0).

First inequality [tex]0+0<1[/tex], that is, [tex]0<1[/tex] holds true.

The second inequality [tex]2(0)\geq 0-4[/tex] that is, [tex]0\geq -4[/tex] as well holds true.

Since both the inequalities hold true at point (0,0), therefore, region  containing origin is the correct answer. Thus, the correct answer is forth option. Since the options are not labeled, I have attached the correct graph with my solution in order to make sure you get the correct answer.

Which Graph Represents The Solution Set Of The System Of Inequalities?{ X+y&lt;12y X-4

Related Questions

A dairy needs 392 gallons of milk containing 5% butterfat. How many gallons each of milk containing 6% butterfat and milk containing 2% butterfat must be used to obtain the desired 392 gallons?

Answers

                       Qty                    %                       Qty * %

Solution 1:        x                 6% = 0.06        =      0.06x

Solution 2:    392 - x         2% = 0.02        =      0.02(392 - x)  = 7.84 - 0.02x

Mixture:          392              5% = 0.05        =     0.06x + 7.84 - 0.02x

                                                 392(0.05)   =    0.08x + 7.84

                                                           19.6   =    0.08x + 7.84

                                                          11.76   =    0.08x

                                                            147    =      x

Solution 2:  392 - x    = 392 - (147)   = 245

Answer: 147 gallons 6% and 245 gallons of 2%

{x*0.02+0.06y=392*0.05

{x+y=392, x=392-y

0.04y=11.76, y=294; x=392-294=98

There is need 98 gallons of milk with 2% butterfat and 294 gallons of milk with 6% butterfat


find the quanity 103% of 19

Answers

Answer:

19.57

Step-by-step explanation:

100% of 19 is 19.

In order to find out what 1% of 19, move the decimal point two place to the left. 1% of 19= 0.19. To find 3% of 19, multiply .19 x 3. add 0.19 x 3 to 19, aka add 0.57 to 19 to get 19.57= 103% of 19

Answer:

19.57 is the answer

Step-by-step explanation:


If alice is $24 per hour painting houses if he works 263 hours how much money will alex earn

Answers

$24 per hour * 263 hours = $6,312

It is a rate per hour times hours worked.

Compare and contrast these four functions using complete sentences. Focus on the slope and the y-intercept first, and then in any additional properties of each function.

Answers

Hello,

Please, see the attached files.

Thanks.

what is the median of :
100 100 99 98 98 90

Answers

i believe that the median would be 98.5, because you add the two middle numbers which in this case are 99 and 98 and divide by 2.

98 or 98 1/2! Hope this helps ya! <3

Help! What is the reciprocal of 5 3/5 ?

Answers

the reciprocal of 5 3/5 is 5/28

HEEEEEEEEEEEEEEEEEEEELP

For which value of x is the equation 3(3 + x) = 15 + x true?
A) 1
B) 2
C) 3
D) 4

Answers

C) 3 is the correct anwser

Which of the numbers below correctly describes 63.45 Mhz? Select one: a. 0.06345 Ghz b. 63,450 khz c. Both a and b d. None of the above

Answers

To solve this question, let us take one part at a time.

Part 1 (MHz to GHz)

We know that 1 MHz=0.01 GHz

Therefore, [tex]63.45 MHz=63.45\times 0.001 GHz=0.06345 GHz[/tex]

Thus, for the time being we know that Option A is correct.

Part 2 (MHz to KHz)

We know that 1 MHz=1000 KHz

Therefore, [tex]63.45 MHz=63.45\times 1000 KHz=63450 KHz[/tex]

Thus, Option B too is correct.

Therefore, Both A and B are correct. Thus, out of the given options, Option C is correct.

What is the greatest common factor of the terms of the polynomial 6x4 + 24x3 − 72x2.

Answers

6x2 would be the greatest factor. This is because 2 is the greatest power for x shown and 6 is the greatest number that all three terms are divisible by.

help plz solve 2y-3=4y+6 y=

Answers

here is your answer.

Steps:

2y-3=4y+6

2y-3+3=4y+6+3

2y=4y+9

2y-4y=4y+9-4y

-2y=9

-2y/-2=9/-2

y=-9/2

The correct answer is y=-9/2

what is the answer for this? 72+10d>/= to 9:/

Answers

it is 8 or  10. multiply the 10d by 11 0r 12. 13 or 14



PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!

Multiply.

√2 ⋅ √5 ⋅ √11

Answers

So remember the product rule of radicals: √ab = √a × √b

In this case:

√2 × √5 × √11 = √(2 × 5 × 11) = √110

√110 is your final answer.

Which of the following is not a tool for monitoring your finances?
A. Personal balance sheet
B. Budget
C. Liability
D. Cash flow statement

Answers

You may want to take this question over to the business category though I believe the answer is C.

The others show how your money is moving, how it's being spent, where you plan on spending it, how much you save, etc. Wouldn't think liability is one of those.

Please help me!!! Will mark BRAINLIEST.

Answers

Answer:

It is rotated 180 degrees then reflected on the y-axis

Step-by-step explanation:


There are 4 juice cartons and 7 milk cartons in the school refrigerator. What is the ratio of juice cartons to total cartons?

(A) 3 to 4
(B)3 to 11
(C)4 to 7
(D) 4 to 11

Answers

d) 4 to 11
since there are 4 juice cartons & 11 total cartons (4 juice + 7 milk = 11 total)

the answer you are looking for is not c or b or a the answer is 4/11 you can not simplify it any lower.

Mr. Brown has 35 students in his class and wants to make teams of 5 students.

Answers

Divide total students by the size of the group:

35 / 5 = 7 groups.

Do 35 divided by 5 and it will give you 7. So Mr. Brown will have 7 teams of 5.

PLEASE HELP QUICK!! !!20 POINTS!!
1. Refer to the equation y = 1/3 x + 2

(a)Create a table of x, y values for 4 ordered pairs. Tip: choose an x, then find y four times. Use “easy numbers”, like x = 0, 3 (gets rid of fraction), or -3

Answers

The final table is in the attached picture.

Before beginning, you should note that:

To get rid of a fraction, this fraction should be multiplied that is equal to or is a multiple of its denominator.

This means that:

[tex]\frac{1}{y} * ay = a[/tex]

Now, for the given:

We have the equation: [tex]y = \frac{1}{3} x + 2[/tex]

The denominator of the fraction is 3, therefore to get rid of it we will need x to be a 3 or a multiple of 3.

Let's consider the x values to be -3, 0, 3 and 6.

For x = -3: [tex]y = \frac{1}{3} (-3) + 2[/tex] = -3 + 2 = -1 .....>First order pair is (-3,-1)

For x = 0: [tex]y = \frac{1}{3} (0) + 2[/tex] = 0 + 2 = 2 .....> Second order pair is (0,2)

For x = 3: [tex]y = \frac{1}{3} (3) + 2[/tex] = 1 + 2 = 3 .....> Third order pair is (3,3)

For x = 6: [tex]y = \frac{1}{3} (6) + 2[/tex] = 2 + 2 = 4 .....> Fourth order pair is (6,4)

Hope this helps :)

The triangular region shows the number of possible carnations, x, and the number of possible daisies, y, that can be used in a floral arrangement. The ordered pairs represent combinations of carnations and daisies that can be used in the floral arrangement.

Which ordered pairs make sense in the context of the situation?

Select each correct answer.


A) (6,8.5)

B) (7,5)

C) (13.5,6)

D) (12,5)

E) (14,7)

Answers

(7, 5) and (14, 7)  are inside the shaded region. I would rule out  those which are not whole numbers ( 1/2 a daisy would look silly!)

Answer (7, 5) and (14, 7)

we know that

If a ordered pair is a solution of the combination of carnations and daisies that can be used in the floral arrangement

then

the ordered pair must be in the triangular region graphed and make sense in the context of the situation

using a graphing tool

we're going to proceed to graph and analyze each of the cases

see the attached figure to better understand the problem

Step 1

point [tex]A(6,8.5)[/tex]

The point A is on the triangular region, but the number of daisies is not a whole number

therefore

The ordered pair A  does not make sense in the context of the situation

Step 2

point [tex]B(7,5)[/tex]

The point B is on the triangular region, and the number of carnations and daisies are a whole number

therefore

The ordered pair B  makes sense in the context of the situation

Step 3

point [tex]C(13,5.6)[/tex]

The point C is on the triangular region, but the number of daisies is not a whole number

therefore

The ordered pair C  does not make sense in the context of the situation

Step 4

point [tex]D(12,5)[/tex]

The point D is not on the triangular region

therefore

The ordered pair D  does not make sense in the context of the situation

Step 5

point [tex]E(14,7)[/tex]

The point E is on the triangular region, and the number of carnations and daisies are a whole number

therefore

The ordered pair E  makes sense in the context of the situation

The answer is

[tex]B(7,5)[/tex]

[tex]E(14,7)[/tex]

The set of all points in a plane that are equidistant from two points is an (n):

Answers

ANSWER

Perpendicular bisector

EXPLANATION

The perpendicular bisector of a line divides the line into two equal parts.

It forms a locus of points that are equidistant from the two given points.

Therefore the set of all points that are equidistant from two given points in a plane is the perpendicular bisector of the line joining the two points.

The cost of a phone is reduced by 20%. The new cost is $70.40 . What was the original price?1. $88.002.$84.003.$58.404.$56.00

Answers

to get this answer you got to multiply each answer by .20% and then subtract the answer from what you divided .20% by and you should get the answer which is 88.002

Answer:

In this case, the answer is $88.00. Have a nice day! <3

Step-by-step explanation:

Please help me with 1a, thanks

Answers

The answer should be x+x+x+x=y or it can be 4x=y.

Since 1A claims that the diagram is of a square, you can easily find the perimeter by multiplying just one side by 4, because the definition of a square says that all of its four sides are equal in length.

Take the left side, x and 4, and add them together, because both of these lengths add up to form the side of the square. You have found one side of the square, x + 4. Now multiply this side by 4 for the perimeter.

Perimeter is the length all around the figure, and since a square has 4 sides you would multiply one side by 4 to find the perimeter.

4(x + 4) is your expression for the perimeter of the square. You could probably solve 1B and 1C by substituting in 3 and 5 for x in the equation I've given you :)

Jonas has 40 marbles. He gave 1/5 of the marbles to marvin and 3/8 of the marbles to leroy. How many marbles did each boy get?

Answers

1/5 x 40

= 8 marbles

3/8 x 40

= 15 marbles



just multiply all both fraction with 40, hence u will get

Marvin=1/5 x 40=8
Leroy=3/8 x 40=15
Jonah will have 17 marbles left.

What is the diameter of a pizza pie that is 121 squares inches

Answers

The area of a circle is given by

[tex]a = \pi\times {r}^{2} [/tex]

and diameter is 2 times the radius

then

121 = pi * d^2/4

d^2 = 121*4/pi

d=sqrt(121*4/pi)

d=12,4 inches

Mr. Moore has 21 feet of wallpaper he cuts it into sections that are each 3 feet long how many

Answers

Total = 21 feet

if each is 3 feet

21/3 = 7

Therefore, there are 7 sections

Mathematics defines division as breaking into parts a larger unit to make several smaller units.

Division of 21 feet wallpaper into 3 feet section will give 7 small parts of the wallpaper.

To reach above answer, following calculation was made:

[tex]\begin{aligned} \rm Total\: length\:of \: the \:wallpaper &= 21\rm \:centimetres\\Length \:of\:each\:section &= 3\: \rm centimetres\end[/tex]

Therefore, number of sections will be the division of total length to length of each section.

[tex]\rm \begin{aligned} Number \:of \:sections &= \dfrac{\rmTotal\: length}{\rmLength\:of\:each\:section}\\ \\&= \dfrac{\rm 21\:centimetres}{\rm 3\:centimetres}\\\\&= \rm 7 \:sections \end[/tex]

Hence, 21 centimetres long wallpaper can be divided into 7 sections that are 3 centimetres long.

Learn more about division here:

https://brainly.com/question/243497

What is the decimal that is 10 times as great as 0.009

Answers

Your answer is .09 .

In a parallel circuit, ET = 240 V, R = 5.6 kΩ, and XL = 3.6 kΩ. What is P?

Answers

Answer:

Real power,P is 10.286 Watts

Step-by-step explanation:

We are given that in a parallel circuit, [tex]E_{T}=240V[/tex],R=5.6kΩ and [tex]X_{L}[/tex]=3.6kΩ

We are asked to find P which means real power, that is power due to resistance.

Let us find current through resistor first.

That is [tex]I_{R}=\frac{E_{T}}{R}=\frac{240}{5.6}=\frac{300}{7}=42.86[/tex]milli Amps=0.04286 A

Hence [tex]P=E_{T}I_{R}[/tex]

                    =240X0.04286=10.286 Watts

Simplify this algebraic expression x-5/5+10

Answers

Answer:Solution:

Algebraic expression:

x-5/5+10

Solution:

5/5 evaluates to 1 x-5/5 evaluates to x-1

                                                                                                 ∴-1 + 10 = 9

The answer is 9+x x-5/5+10 evaluates to 9+xThe final answer is = 9+x

There were 262 hamburgers cooked for the school fair . What is 262 rounder to the nearest hundred

Answers

For this you look one place to the left of the hundred at the tenths. Since it is a 6 and 6 is greater than 5, the two in the hundredths place is rounded up to a three. This means the final answer would be 300!

PLEASE HELP QUICK 

Which graph represents a function?

Answers

The correct answer is the third graph, C!

I hope this helped you!

What are the two shortest measurements below?

300 millimeters

40 centimeters

0.002 kilometers

0.2 meters

Answers

answer:
300 millimeters (mm) then 40 centimeters (cm)


orders of magnitude from largest to smallest:

kilo, hecto, deca, meter, deci, centi, mili

or

King Henry Died Monday Drinking Chocolate Milk

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