what is the solution to the compound inequality in interval notation​

What Is The Solution To The Compound Inequality In Interval Notation

Answers

Answer 1

Answer:

First choice is the right answer (-∞, -9] or (2, ∞)

Step-by-step explanation:

I. Solve 1st problem 2(2x - 1)  > 6

                 4x-2 > 6

                 4x > 6+2

                  x > 2

II. Solve 2nd problem x + 3 <=  -6

                 x <= -6-3

                 x <= -9

III. Prove the answer

         if x > 2 then x = 3

          2( 2(3)-1 ) > 6

          2(5) > 6

           10 > 6  so the answer is true

     

         if x <= -9 then x = -9

           -9 + 3 <= -6

                  -6 <= -6 so the answer is true

Hope that help :D


Related Questions

. Strengthening Vinegar: A food chemist has 200 gallons of
vinegar that is 4% acetic acid. How much acetic acid must be
added to get the acetic acid up to 5%?

Answers

40/19 gallons
(forty over nineteen gallons)

9. Arrange 3 519;3951; 3191 in descending order.​

Answers

Answer:

3951>3519>3191

Step-by-step explanation:

hope you understood how

BRAINLIEST:

The area of a rectangle is (16x^2– 9y^2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work

Answers

Answer:

4x^2 -12x +9

now

4 x 9 = 36

first take out the LCM of 36

it will be

2 x 2 x 3 x 3

4x^2 -6x -6x +9

2x(2x-3) -3(2x-3)

(2x-3)(2x-3)

it is showing that

2x-3 is the length for part A

what is the value of 45c+28d when c=-5 and d=2

Answers

45×(-5) + 28×2

-225 + 56

Ans -169

So the question is "Write down four common multiples of 2 and 3"
Step by step explaination :(

Answers

Answer:

The common multiples of 2 and 3 are 6,12,18,24

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27...

Common multiples of 2 and 3 include 6, 12, 18, and 24.

If 3 sin A + 4 cos A =5, show that sin A=3÷5​

Answers

you can use both either (4tanA+3) or, (4tanA-3)

hope this helped you ☺️

any confusion comment it and let me know.

Here is the histogram of a data distribution. All class widths are 1
What is the median of the distribution?

Answers

Answer:

it is d

Step-by-step explanation:

thank me later yung bloods

urgent answer needed pls​

Answers

Answer:

It's 87.

Step-by-step explanation:

See the picture upside down.

Karima earns $400 per week plus a holiday bonus of $250. Write an expression to represent the total amount she earns after working w weeks. Then, find the amount she earns after she works 4, 12, and 36 weeks.
Expression:
Earnings at 4 weeks:
Earnings at 12 weeks:
Earnings at 36 weeks:

Answers

Answer:

Step-by-step explanation:

Earnings per week = $ 400

Earning for 'w' week = 400*w + holiday bonus

                                   = 400w + 250

Earnings at 4 weeks = 400*4 + 250

                                   = 1600 + 250

                                   = $ 1850

Earnings at 12 weeks = 400*12 + 250

                                   = 4800 + 250

                                   = $ 5050

Earnings at 36 weeks = 400*36 + 250

                                   = 14400 + 250

                                   = $ 14650

Which expression is equivalent to 180?​

Answers

Answer:

[tex] \sqrt{2.2.3.3.5} [/tex]

[tex]\sqrt{2.2.3.3.5}[/tex] is equivalent to [tex]\sqrt{180}[/tex]. Correct option is 1. First, we look for perfect square factors within 180. We can factor 180 as follows: [tex]\(180 = 2^2 \times 3^2 \times 5\)[/tex]

Next, we can group the perfect square factors together:

[tex]\(180 = (2 \times 3)^2 \times 5\)[/tex]

Since we are taking the square root of 180, we can rewrite it as the square root of its perfect square factors multiplied by the remaining non-perfect square factor:[tex]\(\sqrt{180} = \sqrt{(2 \times 3)^2 \times 5}\)[/tex]

The square root of a perfect square is just the value of the number itself:

[tex]\(\sqrt{180} = 2 \times 3 \times \sqrt{5}\)[/tex]

Finally, we can simplify the expression by multiplying the numbers outside the square root [tex]\(\sqrt{180} = 6\sqrt{5}\)[/tex]

So, the expression [tex]\(6\sqrt{5}\)[/tex] is equivalent to [tex]\(\sqrt{180}\)[/tex], and it represents the positive square root of 180 with any perfect square factors taken outside the square root sign.

To know more about square factors:

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Is 5.787787778... a rational or irrational number?
Explain.

Answers

Answer:

irrational

Step-by-step explanation:

irrational number is an endless number/number that doesnt end and so are that number.

Helps please
What is the answer for all of them?

Answers

1.) Point B, Point C, Point D, Point E
2.) Line BC and line DE
3.) Plane S
4.) Plane T

Picture shown!
If P = (3,4), Find:
Rx-axis (P)

Answers

Answer:

not 100% up to speed on that notation, but if it means to

rotate over the x-axis then: (3,-4) would be the answer

Step-by-step explanation:

which of the following to variables would you expect to have no correlation?

A-total of a ice cream sales in amount of births in a city

b-total amount of ice cream sales in amount of ice cream cones used

c-total amount of ice cream sales in temperature outside

d-total amount of ice cream sales in amount of precipitation outside

Answers

Step-by-step explanation:

A because the amount of ice cream sales doesn't relate to the number of births in a city.

B works because amount of ice cream sales can relate to money. Both C and D work because temperature could affect when people want to buy ice cream. (people most likely won't buy ice cream in the winter but most likely will in the summer)

AB = 6 and AC=13. Find BC.

Answers

Answer:

BC = 7

Step-by-step explanation:

AB + BC = AC

Substitute values for the line segments:

6 + BC = 13

Isolate line segment BC by subtracting both sides by 6:

6 - 6 + BC = 13 - 6

0 + BC = 13 - 6

BC = 7

Check your work:

6 + 7 = 13

13 = 13

Correct!

Find the image of (-1, 3) obtained by translating
2 units down, followed by a rotation of 180°
counterclockwise about the origin.
HELP QUICK

Answers

Answer:

(1, - 1 )

Step-by-step explanation:

A translation of 2 down means subtract 2 from the y- coordinate

(- 1, 3 ) → (- 1, 3 - 2 ) → (- 1, 1 )

Under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , then

(- 1, 1 ) → (1, - 1 )

Overall

(- 1, 3 ) → (- 1, 1 ) → (1, - 1 )

The image of (-1, 3) was obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).

What is coordinate?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The given point with coordinates of (-1,3), when translated downwards will have the coordinated equal,

(-1,3) ⇒ (-1, 3-2) ⇒ (-1, 1)

Now, since the translation is about 180° in the counter-clockwise direction, the coordinates of the new point will be equal to,

(-1,1) ⇒ (1, -1)

Hence, the image of (-1, 3) obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).

Learn more about Coordinates:

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Can any one tell me this i have to do this for my tomorrow school

Answers

Answer:

Step-by-step explanation:

5068300- five million, sixty-eight thousand, three hundred

472607- four hundred seventy-two thousand, six hundred seven

51325678- fifty-one million three hundred twenty-five thousand six hundred eighty-seven

Three of eight kids in a class are randomly chosen to present their book reports today. How many different possible sequences of three presentations are there?
A. 56
B. 120
C. 336
D. 512

Answers

512 just because it’s the right answer

A woman takes 3000 on a vacation and spends 150 a day which expression gives the amount she has in dollars after n days

Answers

3000/150 will give you 20. So after 20 she will have no money left

Find the possible subsets of A = {a,b}​

Answers

Answer:

Step-by-step explanation:

Subset of A = { {} , {a} , {b}, {a.b} }

Can someone please help me I don’t get this (Due today)

Answers

Answer:

Which grade's book exercise is this?

Is √5x - 12 = 0 nonlinear or linear?

Answers

Nonlinear because in order to be linear, it has to be a straight line. In order to be a straight line, the degree must be 0 or 1 for each of its variables. This does not meet that criteria, thus being non linear

What fraction of $1,75 is 77c

Answers

Answer:

44 :

Step-by-step explanation:

77/175 = 0.44

0.44x100

What would the sum of the interior angles of a 14 sided shape be?
Select one:
O a. 360°
O b. 180°
O c. 14°
O d. 2,160°

Answers

Answer:

the sum of interior angles of a 14 sided shape be 2160

Answer:  D)  2160

Work Shown:

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

S = 180(14-2)

S = 180*12

S = 2160

Complete the table for the given rule. Rule: y x/4 (fraction)

x y
fill in | 4
fill in | 2
fill in | 9​

Answers

Answer:

16, 8, 36

Step-by-step explanation:

x = 4y

y = 4, x = 16

y = 2, x = 8

y = 9, x = 36

Jade purchased a game controller for $14.65 including tax. How much did she get from a twenty-five dollar bill?

Answers

Answer:

$5.35

Step-by-step explanation:

20-14.65=5.35

What is the measure of ZA?

Select the best answer from the choices provided.
A. 35
B. 55°
С.70°
D.110°

Answers

Answer:

55°

Step-by-step explanation:

Since two of the sides are the same length, that means ∠A and ∠B are the same.

All angles of a triangle add up to 180°

180 - 70 = 110

To find ∠A, we just divide 110 by 2

110 ÷ 2 = 55

Both ∠A and ∠B are 55°

Answer:

B. 55°

Step-by-step explanation:

The triangle shown is a isosceles triangle meaning two angles measure the same value and one angle measures different from the others

To find m∠A, subtract 180 since it’s the total ° among the angle minus 70° to be left with the two angles

180° - 70° = 110°

The two angles can’t each be measured 110° so we must divide 110° by 2 for the two angles to have the same degree

Thus, m∠A = m∠B and m∠A = 55°

Which rule describes the relationship between the input and output pairs in the following table?
Input
Output
10
5
8
3
6
1
Choose 1 answer:
اے
Subtract 5 from the input to get the output.
в)
Multiply the input by 0. Then add 5 to the result to get the output.
Divide the input by 2. Then subtract 1 from the result to get the output.

Answers

Answer:

Subtract 5 from input.

Step-by-step explanation:

10-5=5

8-5=3

6-5=1

Note:if you need to ask question let me know about it.

Which theorem can be used to show that AABC = ADEC?

Answers

ASA. It’s the angle side angle since you’ve got the vertical angles, a side in the middle, and the other set of congruent angles.

Point N is on line segment \overline{MO}
MO
. Given MN=2x,MN=2x, NO=x-2,NO=x−2, and MO=2x+9,MO=2x+9, determine the numerical length of \overline{MN}.
MN
.

Answers

Answer:

 NO = 10

Step-by-step explanation:

The segment addition theorem tells you ...

 MN + NO = MO

Substituting the given expressions for these lengths, we have ...

 x + 5x = 3x+6

 3x = 6 . . . . . . . . . subtract 3x

 x = 2 . . . . . . . . . . divide by 3

We can use this value to find the length NO:

 NO = 5x = 5(2) . . . . substitute for x

 NO = 10

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