Mathematics High School

(05.05)
Select the inequality that corresponds to the given graph. (5 points)

Answers

Answer 1

Answer:

3) 4x-2y (less than) -8

Answer 2

Answer:

Option 3: 4x - 2y < -8

Step-by-step explanation:

Given the graph of a linear inequality with a dashed line as its boundary line:

Quick Note:

To start with, since the graph of the line is dashed, this means that the endpoints are not included as solutions.

Hence, we can easily rule out Option 4: 2x + 4y ≥ -16, since the solid boundary lines are used to represent linear inequalities with "≥" or "≤" symbols. Solutions:

It will help to choose a test point that is not on the line, and substitute its values into the given inequality statements. Test points are used to verify whether it will satisfy the given inequality statement.

Let's use the point of origin as our test point, (0, 0). Substitute its values into the linear inequality statements in Options 1 through 3:

Option 1: 4x - 3y > -12

4x - 3y > -12

4(0) - 3(0) > -12

0 - 0 > -12

0 > -12 (True statement). Hence, the half-plane region that contains the test point must be shaded.

Since the point of origin is not a part of the shaded region in the given graph, then it means that the linear inequality in Option 1 is not the correct answer.

Option 2: x + 4y > 4

x + 4y > 4

(0) + 4(0) > 4

0 + 0 > 4

0 > 4 (False statement). The half-plane region that doesn't contain the test point must be shaded. Hence, Option 2 may be a valid solution.

We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:

x + 4y > 4

x - x + 4y > - x + 4

4y > -x + 4

Divide both sides by 4 to isolate y:

[tex]\displaystyle\mathsf{\frac{4y}{4}>\:\frac{-x\:+\:4}{4} }[/tex]

y > -¼x + 1 ⇒ This is the slope-intercept form, where it has a negative slope of m = -¼. Hence, Option 2 is not a valid answer, as the graph has a positive slope.

Option 3: 4x - 2y < - 8

4x - 2y < - 8

4(0) - 2(0) < - 8

0 - 0 < - 8

0 < -8 (False statement). Thus, the half-plane region that doesn't contain the test point must be shaded.

We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:

4x - 2y < - 8

4x - 4x - 2y < -4x - 8

-2y < -4x - 8

Divide both sides by -2 to isolate y:

[tex]\displaystyle\mathsf{\frac{-2y}{-2}>\:\frac{-4x\:-\:8}{-2} }[/tex]

y < 2x + 4 ⇒ This linear inequality statement in slope-intercept form matches the given graph, as its line has a positive slope of 2.

Therefore, the correct answer is Option 3: 4x - 2y < -8.

Related Questions

Kate is selling jars of homemade pickles (p) and jars of relish (r). She has enough cucumbers for at most 50 jars of her products. The pickles sell for $6 per jar, and the relish sells for $4 per jar. She needs to make at least $260. When modeling this situation with a system of inequalities, which statements are true? A) p + r ≤ 50 6p + 4r > 260 B) p + r ≥ 50 6p + 4r ≥ 260 C) p + r ≤ 50 6p + 4r ≥ 260 D) p = 32 and r = 18 is a solution to the system. E) p = 28 and r = 22 is a solution to the system.

Answers

Answer:

C and E

Step-by-step explanation:

I just took the test and it said so.............................................................

10 feet long and 5 feet wide. What is its area?

Answers

Answer:

50 square feet

Step-by-step explanation:

Length x width

Answer:

Step-by-step explanation:

10 times 5 = 50

It took Jada's aunt 3/4 hour to put a puzzle together. It took Jada 2 1/3 times as long as her aunt to put the puzzle together.

How long did it take Jada to put the puzzle together?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

1 3/4 brainliest please

Step-by-step explanation:

Answer:It took Jada 1 3/4 hours to put the puzzle together.

Step-by-step explanation: Multiply 3/4 by 2 1/3 and you get the answer.

Each container on a cargo ship holds 60 boxes of furniture.
Which table shows the values for 60c, the number of boxes
in c containers?
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 300 360
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 280 320
B.
4
5
6
Number of Containers, C
Number of Boxes, 60C
240 350 460
C

Answers

Answer:

imagine cheating on your star assessment but same tho the answer is c

Step-by-step explanation:

because i solved it on paper

Answer:

Step-by-step explanation:

Dashawn solves the following system of equations using the elimination method.

3x−4y=36
5x+2y=8

What value does he correctly determine for x?

Enter you answer in the box.

Answers

Answer:

x = 4

Explanation:

3x - 4y = 36

5x + 2y = 8 ( multiply all by two )

3x - 4y = 36

10x + 4y = 16

13x = 52

Divide by 13

x = 4 hope this helps

Answer: x = 4

Step-by-step explanation: the dude is correct

Find the gradient of the line passing through (0,2) and (3,5)

pls i need for hwk

Answers

Answer:

The gradient is 1

Step-by-step explanation:

m, gradient= (y2-y1) ÷ (x2-x1)

Some people use this rule to work out
how many hours' sleep each night
young children need.
tract the child's age in years from 30,
ten divide the result by 2
Sanjay is 8 years old.
Use the rule to work out how many
hours' sleep he needs.

Answers

Sanjay needs 11 hours of sleep

Create a probability model for the outcome of performing 2 spins. What is the probability of NOT landing on yellow or red at all?

Answers

Using the concept of probability, the probability of not landing on yellow or red at all is 1/4.

Creating a square model of the two spins :

Red(R) ; Blue(B) ; Green(G) ; Yellow(Y)

___ R ___ B ___ G ___ Y

R_ RR __ RB __ RG __ RY

B_ BR __ BB __ BG __ BY

G_ GR __GB __ GG __GY

Y_ YR __ YB __ YG __ YY

Sample space = 4² = 16

Combinations without red and yellow :

{BB, BG, GB, GG} Number of selections without red or yellow = 4

Recall :

Probability = required outcome / Total possible outcomes

P(without Red or Yellow) = 4/16 = 1/4

Hence, the probability of not landing on yellow or red at all is 1/4.

Learn more : https://brainly.com/question/14605518

What is the slope intercept equation from the graph?

Please help thank u

Answers

Answer:

the desired equation is y = (-3/2)x + 3

Step-by-step explanation:

Two points through which the graph passes are (0, 3) and (2, 0). (0, 3) is the y-intercept. Thus, the slope-intercept equation y = mx + b becomes

y=mx + 3. Borrowing the coordinates of (2, 0) and substituting them into this last result, we get

0 = m(2) + 3,

which, after having been solved for m, gives us m = -3/2

and so the desired equation is y = (-3/2)x + 3.

A rectangular pipe flowing full has the following cross-sectional dimensions Width: 6 m Height: 9 m Find the pipe's hydraulic radius in meters

Answers

45 meters unless the pipe is 60 seconds with out water

Help please this is for a exam i give brainliest to!
Which expression results in a sum or difference of 4 9/36?

A: 8 2/3 - 4 5/12

B: 2 3/12 + 2 1/3

C: 6 5/9 - 2 1/4

D: 3 1/4 + 1 4/9
NO LINKS!!!

Answers

Answer:

The Answer is A. :)

Step-by-step explanation:

What is 216/162 written as an improper fraction in simplest form?

A.6/4

B.4/3

C.3/2

Answers

Answer:

4/3

Step-by-step explanation:

216 / 162

= 108 / 81

= 12 / 9

= 4 / 3

Answer:

The improper fraction is 4/3 because when you read the sentence and listen to the teacher it will tell you the answer because of your teacher giving you the answers you will get 100% on your assignment or Quiz.

Step-by-step explanation:

Brainliest Plz

The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). What is the maximum value of the objective function P if P = 180x 250y?.

Answers

The maximum value of the objective function is 3080

The vertices of a feasible region are given as

(14, 2), (0, 9), (6, 8), (10, 3)

The objective function is given as:

[tex]\mathbf{P = 180x + 250y}[/tex]

Substitute the ordered pairs in the objective function

Point (14,2)

[tex]\mathbf{P = 180 \times 14 + 250 \times 2}[/tex]

[tex]\mathbf{P = 3020}[/tex]

Point (0,9)

[tex]\mathbf{P = 180 \times 0 + 250 \times 9}[/tex]

[tex]\mathbf{P = 2250}[/tex]

Point (6,8)

[tex]\mathbf{P = 180 \times 6 + 250 \times 8}[/tex]

[tex]\mathbf{P = 3080}[/tex]

Lastly, we have point (10,3)

[tex]\mathbf{P = 180 \times 10 + 250 \times 3}[/tex]

[tex]\mathbf{P = 2550}[/tex]

The maximum value of P is calculated to be 3080.

Hence, the maximum value of the objective function is 3080

Read more about objective functions at:

https://brainly.com/question/11206462

Answer:

3080 is the answer ^

Step-by-step explanation:

What are the types of polygons?

Answers

Answer:

Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon and Decagon

Answer:

1.Regular Polygons.

2.Irregular Polygons.

3.Concave Polygons.

4.Convex Polygons.

5.Trigons.

6.Quadrilateral Polygons.

7.Pentagon Polygons.

8.Hexagon Polygons.

Step-by-step explanation:

helppppppp

plwaseeee

Answers

first blank one is 5.58, 2nd blank one is 6.08 hope i got it right

The six seventh grade classes held a fundraiser where they sold candy bars. The school's principal award a $1000 prize to be divided between the six classes. If each class sold a different quantity, what would be the most equitable way to divide the money based on their sales ? If 8, 200 candy bars were sold, simulate how you divide the money between the six classes .

Answers

Answer:

8200/1000 = 8.2 so each time a class selss 8.2 bars, they receive 1 dollar.

If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.

(ASAP) helpp i need to get this done 3m

Answers

3(a-4) + 1= 9 - a

3(a-4) = 8 - a

3a-12 = 8 - a

4a = 20

a=5

I hope this helps! :)

Answer:

a=5

Step-by-step explanation:

3(a-4)+1=9-a

3a-12+1=9-a

3a-11=9-a

3a+a=9+11

4a=20

a=20÷4

Please help this is my last points
Answer with explanation please
Please I need it now

Answers

Answer:

im going to guess cause i barely see 120

Step-by-step explanation:

Answer:

Three sets of supplementary angles

1 & 4 = 180º

2 & 5 = 180º

3 & 6 = 180º

Total = 540º

Sum of angles in triangle = 180º

Therefor sum of exteriort angles

540 - 180 = 360º

Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. I am having trouble writing the equation will someone do it for me because I don't understand.

Answers

Answer:

Our equation: y = 200x/3 + 100

Step-by-step explanation:

The trend line is linear.

y = mx + b

=> b = y-intercept = 100

=> m = slope = rise/run

=> 400/6 = 200/3

=> Slope = 200/3

Our equation: y = 200x/3 + 100

Hoped this helped.

8x - 2y = 4 and x + 4y = -12

Answers

x = -12 - 4y

y = -3 - (x/4)

There you go! :D

it takes clay 1/2 hour to mow his lawn how much of the yard will be mowed after 1/3 hour

Answers

Answer:

Step-by-step explanation:

Clays rate is 1/2 hour per lawn. We can write this as Rate = 3/2 hr/lawn.

If Clay mows for 1/3 hour, we can determine the amount of lawn mowed by dividing the 1/3 hour by the rate:

(1/3 hr)/(3/2 hr/lawn) = (1/3)*(2/3) = 2/9 of a lawn.

Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot

Answers

Answer:

Option A

Step-by-step explanation:

can 22.75 be rounded off to 23.5?
(im not smart pfft)

Answers

Answer:

Step-by-step explanation:

22.75 can be rounded to:

22.8

Answer:

no only 22.8

Step-by-step explanation:

Write an equation of the parabola that passes through the point (62,-490) and has x-intercepts -8 and 72

Answers

Step-by-step explanation:

as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)

we know that f(62)=-490 so a= -0.7

so f(x)= -0.7(x+8)(x-72)

HELP * PICTURE INSERTED*

Answers

Answer:

9m^2

Step-by-step explanation:

Area of triangle = 1/2 ×base×height

=1/2(2/3m ×27m)

Area of triangle =9m^2

i’ll give you brainliest, thank you sm

Answers

Answer:

C. (2,7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to find which ordered pair makes the equation true, we have to understand that the format of a coordinate pair is (x, y)

Knowing that, we can plug in the numbers from each coordinate pair that correspond to the x and y values of the equation

For instance, for A (-1, 5) we would plug in 5 for x and -1 for y

Now we have -1 = 3(5) + 1

Multiply 3 and 5

-1 = 15 +1

Add

-1 = 16

The numbers on each side are not equal so this is not the answer

Now for B (10,3)

We do the same thing, plug in the numbers

3 = 3(10) + 1

Multiply

3 = 30+1

3 = 31

This choice is false as well

Option C (2, 7)

Plug in the numbers

7 = 3(2) + 1

Multiply

7 = 6+1

Add

7 = 7

Thus C is the answer as it is the same number on both sides~!

Hope this helpsss! :D

If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.

Answers

Volume: h • pi r^2

Volume: (7.5) • pi (2)^2

Volume: 94.247796

Just round to your teacher’s liking

Answer:

The volume of the cone is approximately 31.43 cm³

Step-by-step explanation:

We know that:

Volume of cone: πr²h/3h = 7.5r = 2

Work:

πr²h/3=> π x r² x h/3=> 22/7 x 2² x 7.5/3=> 22/7 x 4 x 2.5=> 22/7 x 10=> 220/7=> 31.43 (Rounded to nearest hundredth.)

Hence, the volume of the cone is approximately 31.43 cm³

Hoped this helped.

[tex]BrainaicUser1357[/tex]

The cost of renting a video game is $4 per a day, plus a $3 rental fee. If jonathan has $12 to spend, what is the maximum number of days he can rent the video game?.

Answers

Answer:

2 days

Step-by-step explanation:

12 - 4 = 8

8/3 = 2.7

i need help with this question please

Answers

Answer:

AC = 24

Step-by-step explanation:

DE is the midline of the triangle, parallel to AC. It is half the length of AC, so ...

2·DE = AC

2(2x -14) = 3x -15

4x -28 = 3x -15 . . . . . eliminate parentheses

x = 13 . . . . . . . . . . . . . add 28-3x to both sides

AC = 3x -15 = 3(13) -15

AC = 24

_____

Additional comment

DE = 2(13) -14 = 12, half the length of AC.

A cylindrical water tank has a diameter of 4 m and a height of 3 m, while a water tank shaped like a rectangular prism has a length of 7 m, a width of 2 meters and a height of 2 meters. Which of the two tanks can hold more water? By how many cubic meters

Answers

The 1st one can vary more by 12 cubic meters

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(05.05) Select the inequality that corresponds to the given graph. (5 points)

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(05.05)
Select the inequality that corresponds to the given graph. (5 points)