Which graph represents the solution set of the compound inequality Negative 4 less-than-or-equal-to 3x minus 1 and 2 x + 4 less-than-or-equal-to 18?

Which Graph Represents The Solution Set Of The Compound Inequality Negative 4 Less-than-or-equal-to 3x

Answers

Answer 1

Answer:

a) First graph

 The solution of the given inequalities -1 ≤ x ≤ 7

Step-by-step explanation

Given two inequalities

                             - 4 ≤ 3 x -1 ...(i)

                           2 x +4 ≤ 18 ...(ii)

From(i)

                        - 4 ≤ 3 x -1

Adding '1' on both sides , we get

                   - 4 + 1 ≤ 3 x - 1 +1

                  - 3 ≤ 3 x

Dividing '3' on both sides , we get

                 -1 ≤ x   ...(a)

From (ii)

                    2 x +4 ≤ 18

subtracting  '4' on both sides , we get

                  2 x + 4 - 4 ≤ 18 -4

                                2 x ≤ 14

dividing '2' on both sides, we get

                                 x ≤ 7 ..(b)

Now the solution of two inequalities From(a) and (b)

                             -1 ≤ x ≤ 7

Final answer:-

The graph of the two inequalities is first graph

                             

Which Graph Represents The Solution Set Of The Compound Inequality Negative 4 Less-than-or-equal-to 3x
Answer 2

Answer:

first graph or A

Step-by-step explanation:

took the test on edge! have a good day peeps:)


Related Questions


What is the value of the rational expression below when xis equal to 3?
15 - X
9-X

Answers

Answer:

x=12

x=6

Step-by-step explanation:

15-(3)=12

9-(3)=6

Answer:

15-x is 12

9-x is 6

Step-by-step explanation:

Find the exact value using trigonometric identities.

A.) 10.9
B.) 8.6
C.) 7.3

Answers

Answer:

Option (c) 7.3

Step-by-step explanation:

Since is forms a right angled traingle,

a= 3+4= 7

b = 4-2= 2

c = AB

Pythagorean theorem:

a^2+b^2 = c^2

So since we know a and B but the hypotenuse (c) is missing

7^2 + 2^2 = c^2

c^2 = 49+4

= 53

c = √53

= 7.28 rounded off to 7.3

So the length of hypotenuse or c is 7.3 units

Therefore, the length is 7.3

What ya the y-intercept of the function f(x) = -2/9x + 1/3

Answers

Answer:

-2/9 would be the slope

1/3 would be the y-intercept.

Answer: C. 1/3

express 0.3°8° in form a/b where by b#0​

Answers

Answer:

0.3° = 0.3π/180

8° = 2π/45

Multiplying both

0.3π/180×2π/45

3/10π/180 × 2π/45

You will get

π/300 × π/45

= π²/13500 where a = π² b= 13500

Hope this helps.

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!!!!

Answers

Answer:

(up) by 6

left by 7

Step-by-step explanation:

Scheels received a shipment of 400 water bottles. 30% were yellow.

How many yellow water bottles were in the shipment?

Answers

Answer:
There were 120 yellow water bottles in the shipment

Explanation:
Multiply 400 by 30% to find out how many water bottles came in yellow.

400 • .30 = 120

So, 120 were yellow.

_________________________________

Solution,

30% of 400

= 30/100*400

=120

120 yellow water bottles were in the shipment.

Hope it helps

Good luck on your assignment

__________________________________

What should be done first to simplify 11 – 2 + 7 + 5 – 8 + 13

Answers

Answer:

I think the first step is to group all the addition first and then you do the subtraction.

Answer:

Remember PEMDAS; parenthesis, exponents, multiplication, division, addition and subtraction.

Step-by-step explanation:

so ti will be;

2+7+5-8+13

27-8

21

Need help people please help me

Answers

Answer:

The first option

Step-by-step explanation:

To get your answer you have to divide 5 and 4 and another way to write the answer is 5/4.

Answer: it is 1/4

Step-by-step explanation:

Write Successor of 999 please help me ​

Answers

Answer:

1000

Step-by-step explanation:

The successor of 999 is 1000

999+1=1000

SUCCESSOR

The number which comes immediately after a particular number is called its successor.  The successor of a whole number is the number obtained by adding 1 to it.  Clearly, the successor of 0 is 1; successor of 1 is 2; successor of 2 is 3 and so on.

I need help showing my work for the picture I've attached! I already have the answer as you can see below :)

Answers

Answer:

3x²y∛y

Step-by-step explanation:

∛27x⁶y⁴= ∛3³(x²)³y³y= 3x²y∛y

Simplify the ratio 68:28​

Answers

Answer:

17:7

Step-by-step explanation:

68/4 = 17 and 28/4 = 7

Thus, 68:28 ratio simplified is 17:7

Please brainliest me Pls

Answer:

The answer is 17/7 or 2.43

Please answer !!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

B)

D)

Step-by-step explanation:

B) 1 and 13 are x intercepts so true

D) greatest profit is when price is 7; after that profit is getting smaller because function is decreasing

What is the Q1 and Q3?
4,6,8,9,13,21,31

Answers

Answers: Q1 = 6Q3 = 21

The data is already sorted for us. If it wasn't, then you would have to write the values from smallest to largest.

The median is the middle most value 9 (in slot 4)

The median separates the data into two halves, which I'll call the lower and upper half

lower half  = {4,6,8}

upper half = {13,21,31}

The median of the lower half is 6, and this is the value of Q1.

The median of the upper half is 21. This is the value of Q3

Which table represents exponential growth?
:))))

Answers

Answer: x: 1,2,3,4 y: 2,4,8,16

Step-by-step explanation:

Exponential growth means that the rate of the line of a graph or chart is rapidly growing in size or number.

1 | 2

2 | 4

3 | 8

4 | 16

5 | 32

6 | 64

etc.

Answer:

option B edg 2021

Step-by-step explanation:

im too lazy to explain but its option B

HELP MARK AS BRAINLIST

Answers

Answer: Area for trapezoid= 1/2(4+5×1)=4.5 m

Area of triangle= Iam not exactly sure

hope this helped you a bit

Step-by-step explanation:

What is the value of p?

Answers

The equal of all angles is 180 so A=90 and B=180-125=55 so the answer is D = 35

Answer:

Step-by-step explanation:

Which operation means "split evenly"?
addition
subtraction
multiplication
division

Answers

Answer:

Division

Step-by-step explanation:

Answer:

division

Step-by-step explanation:

when you divide you split into even groups

help me please !!!!!!

Answers

Answer:

256 ft^250 ft^225 ft^2281 ft^2

Step-by-step explanation:

Prism Area

The total surface area of a rectangular prism is given by ...

  SA = 2(LW +H(L +W))

For L = 12 ft, W = 5 ft, H = 4 ft, the surface area is ...

  SA = 2((12 ft)(5 ft) +(4 ft)(12 ft +5 ft)) = 2(60 ft^2 +(4 ft)(17 ft))

  = 2(60 ft^2 +68 ft^2) = 256 ft^2 . . . blank 1

__

Pyramid Lateral Area

The lateral area of the pyramid is 4 times the area of one triangular face:

  LA = 4(1/2)bh = 2(5 ft)(5 ft) = 50 ft^2 . . . blank 2

__

Pyramid Base Area

The area of the square base of the pyramid is the square of the length of one edge:

  B = (5 ft)^2 = 25 ft^2 . . . blank 3

__

Total Exposed Area

The exposed area of the prism is its area less that of the base of the pyramid. The total exposed area is the sum of prism exposed area and lateral area of the pyramid.

  total exposed area = (exposed prism area) + (pyramid lateral area)

  = (prism area) - (pyramid base area) + (pyramid lateral area)

  = 256 ft^2 - 25 ft^2 + 50 ft^2

  total exposed area = 281 ft^2 . . . blank 4

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?

Answers

Also need to be increase different then level more of the level

Answer:

Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour  Option (B)

Step-by-step explanation:Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour

What proportion results in the equation 9 m = 10 n?

Answers

Answer:

it might come from 9/n = 10/m

Answer:

9/m=10/n

Step-by-step explanation:

what is the c value?
answer in x= form

Answers

x form =-1+√21,-1-√21

Which number line represents the solution set for the inequality 2x - 62 6(x - 2) + 8?
-15
-0.5
0
0.5
1
1.5
-1.5
-1
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1.5
-1.5
-1.5
0
0.5
1
1.5

Answers

Answer:

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Interval Notation: (- ∞, -1/2]

The line starts from -1/2 with the arrow going to the left (decreasing). The endpoint or value from where it started, which is -1/2, should be shaded.  The inequality symbol x ≤ -1/2 represents the values at most or maximum -1/2.

Step-by-step explanation:

The number line representing the solution set for the inequality given is option C.

The inequality is 2x - 6 ≥ 6(x-2) + 8,

Solving for x,

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Therefore, the Interval Notation is (- ∞, -1/2]

This means that the all the values of x will be less than -1/2 or equal to it,

Therefore, the graph will be, the line starts from -1/2 with the arrow going to the left (decreasing).

Learn more about inequality, click;

https://brainly.com/question/30231190

#SPJ7

This is Surface Area of Composite Figures and I need help solving this question. I'm gonna fail my math exam if I don't figure this out!!!

Answers

Answer: 302 cm2

Step-by-step explanation:

Hi, to answer this question we have to calculate the surface area of the cubes and the rectangular prism, and the then add them (minus the overlaps)

Surface area of a cube (SAC)= 6 x side length ^2  

Since one side of each cube is covered by each other, we simply have to multiply the area of one side by 5 instead of 6.

SAC = 5 x (2)^2 = 20 cm2

Since both cubes are equal, we simply multiply it by 2:

20 x 2 = 40 cm2 (surface area of the 2 green cubes)

Surface Area of a rectangular prism (SAP) = 2wl + 2lh + 2hw

Where:

w = width (5); l = length (11); h = height (5)

SAP = 2 (5x 11) + 2 (11 x5) + 2 (5x5) = 110+110+50=270 cm2

Finally, adding both surface areas, and subtracting the base area of the bottom cube covered by the prism multiplied by 2 ( overlap )

270+40-2(4) = 302 cm2

Find the difference of the complex numbers (7+3i)-(3-7i)

Answers

Answer:

4 + 10i

Step-by-step explanation:

Expanding the bracket we have;

(7+3i)-(3-7i) = 7+3i-3+7i

(7+3i)-(3-7i) = 7+3i-3+7i = 7-3 + 3i + 7i= 4 + 10i

Answer Option C

=7+3i-3+7i

=7-3+3i+7i=

=4+10i


5. Your dog is expecting a litter of puppies. The probability of a puppy being male or female is .50 or 50%. What is the probability that a litter of 4 puppies will contain 2 males and 2 females? Show your work

Answers

Answer:

not likely bbtguvtcettup

Q1.work out the sum of the interior angles of a pentagon.
Q2.work out the size of one interior angle of a regular octagon.
Q3.work out the size of one exterior angle of a regular hexagon

Answers

Answer:

Question 1:

The sum of interior angles of a polygon can be found by the following formula:

(n-2) × 180

Where n is the no. of sides

A pentagon has 5 sides

So,

= (5-2) × 180

= (3) × 180

= 540 degrees

Question 2:

Since The sum of interior angles of a regular octagon is 1080 and the total interior angle are 8

So, Measure of interior angle = [tex]\frac{1080}{8}[/tex]

Measure of interior angle = 135 degrees

Question 3:

Since, one interior angle in a hexagon measures 120 degrees.

So,

The interior angle should be subtracted by 180 to get the exterior angle.

Exterior angle = 180-120

Exterior Angle = 60 degrees

What is the quotient when (x + 2) is divided into the polynomial 2x2 - 2x - 12?

Answers

Answer:

2(x-3)

Step-by-step explanation:

2x² - 2x - 12= 2(x²-x+6)= 2(x²+2x- 3x+6)= 2(x-3)(x+2)

(2x² - 2x - 12)/(x+2)= 2(x-3)(x+2)/(x+2)= 2(x-3)

Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.

Answers

Answer:

is greater than

Step-by-step explanation:

The answer is C less than we got it wrong

Step-by-step explanation:

How do i graph the quadratic function f (x)=-(x-3)(x+1)

Answers

Answers:

It's basically Inside, Outside, Outside, Inside. (I. O.O.I.)

Explanations:

Given

[tex]f(x)=-(x-3)(x+1)[/tex]

Distribute the (-1) to (x-3)

[tex]f(x)=(-x+3)(x+1)[/tex]

Now let's work the I. O. O. I.

Inside:

[tex](-x)(x)=-x^2[/tex]

Outside:

[tex](-x)(1)=-x[/tex]

Outside:

[tex](3)(x)=3x[/tex]

Inside:

[tex](3)(1)=3[/tex]

Add both the outsides (-x) and (3x) together

[tex]-x+3x=2x[/tex]

Your new equations is now.

[tex]f(x)=-x^2+2x-3[/tex]

7. A shopkeeper can buy 36 toys for $20.52. What will be
for 120 toys?​

Answers

Answer:

$68.40

Step-by-step explanation:

Let x represent the required cost.

Since the number of toys is directly proportional to the cost:

x : $20.52 = 120 : 36

i.e.  x/$20.52 = 120/36

      x = ([tex]\frac{120 * $20.52}[/tex])/36

      x = $2462.40/36

      x = $68.40

Hope this helps!!!

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