Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?

A. x ≥ -4
B. x ≤ -4
C. x ≥ 8
D. x ≤ 8

Answers

Answer 1
B. x < -4

-2(3x + 6) > 4(x + 7)

-6x - 12 > 4x + 28

-10x > 40

X < -4

Answer 2

The inequality that represents the solution of -2(3x + 6) ≥ 4(x + 7) is  x ≤ -4, the correct option is B.

What is an Inequality?

An inequality is a statement that is formed when two expressions are joined using an inequality operator.

The inequality is -2(3x + 6) ≥ 4(x + 7)

To find the solutions, the inequality has to be simplified.

Solving the inequality by using Distributive Property,

-6x -12 ≥ 4x +28

Adding (+12) on both sides of the inequality

-6x ≥ 4x +28 +12

Adding (-4x) on both the sides of the inequality

-6x + (-4x) ≥ 40

-10x ≥ 40

Dividing 10 on both the sides

-x ≥ 4

Reversing the sign of the inequality to remove the negative sign of x

x ≤ -4

To know more about Inequality

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Related Questions

if a1=7 and an=an-1+5 than find the value of a5


.

Answers

Answer:

a₅=27.

Step-by-step explanation:

1) according to the condition the given subsequence is arithmetic sequence. It means, the a₁=7 and d=5, then

2) a₅=a₁+4*d; => a₅=7+4*5=27.

ANSWER FOR POINTS just doing this for people who dont know alot

Answers

Answer:

Thanks for the points! <3


The line nm is drawn parallel to the base BC in the triangle ABC . if the m<1=51 , find the m<2

Answers

Answer:

m∡2 is 51

Step-by-step explanation:

The parallel line creates two similar triangles.

Similar triangles with congruent angles

Also, the parallel line creates two corresponding angles.

Corresponding angles are also congruent

***Find the Area of the circle when the diameter is 35/2 *
270 cm^2
240.4 cm^2
140.6 cm^2
170 cm^2

WILL GIVE 100 POINTS

Answers

Answer:

its the 2nd one

Step-by-step explanation:

The answer is 240.4cm^2

Or the second one

Math questions :D
(part 2 of yesterday's history questions)
(these questions are easy cuz I couldn't find any hard ones)

1. What is the perimeter of a circle called? Show answer.
2. What is the square root of 144?
3. Can Pi be written as a fraction
4. What is 64 divided by 8?
5. Which number is greater, a googol, or a quadrillion?

Answers

Answer:

1.pi times the radius squared

2. 12

3. Yes

4. 8

5. a googol

Step-by-step explanation:

Question #1 Answer:

Question #2 Answer:

12

Question #3 Answer:

22/7 I believe is the closest fraction.

It is irrational by definition and cannot be expressed as a fraction. But there are a few close approximations.

Pi is not a fraction. A close approximation to pi, on the other hand, is 22/7.

Question #4 Answer:

8

Explanation:

Based on the given conditions, formulate:

[tex]64/8[/tex]

Calculate

[tex]\frac{64}{8}[/tex]

Cross out the common factor

[tex]8[/tex]

I can figure out the rest once I get back home. I'm sorry I ran out of time.

Ima dumb child please help meh :

Answers

Answer:

what can not see nothing

Step-by-step explanation:

find the amount Anita borrowed from a finance company if she paid RS.3600 as interest for 3 years at 3% interest per annum.

Answers

Lets see

Interest=I=3600Rate of interest=R=3%Time=T=3yrs

Principle=P

[tex]\\ \rm\longmapsto I=\dfrac{PRT}{100}[/tex]

[tex]\\ \rm\longmapsto P=\dfrac{100I}{RT}[/tex]

[tex]\\ \rm\longmapsto P=\dfrac{360000}{9}[/tex]

[tex]\\ \rm\longmapsto P=Rs.40000[/tex]

Solution:

We know that:

Interest = ₹ 3,600Time = 3 yearsRate = 3%

Let "P" represent the money Anita borrowed.

[tex]\dfrac{\text{P} \times 3 \times 3}{100} = 3,600[/tex]

[tex]\rightarrow \dfrac{\text{P} \times 9}{100} = 3,600[/tex]

[tex]\rightarrow \dfrac{\text{P} }{100} = 400[/tex]

[tex]\rightarrow \ \text{P }= \text{R.S} \ 40000[/tex]

Your friend claims the uneven parallel bars in gymnastics are not really parallel. She says one is higher than the other, so they cannot be the same plane. Is she correct? Explain
A. Yes; the two bars actually form skew lines
B.no ; the bars are in different planes, but they are still parallel
C. Yes; the bars are not parallel bc they are in different planes
D.no; the bars are in the same plane that is slanted with respect to the horizontal

Answers

Answer:

B

Step-by-step explanation:

Because parrallel means they will never intersect so there for i got B. Hope i was helpful.

Alaska is the largest state in the United States. The state has an area of approximately 663,000 square miles. Rhode Island is the smallest state in the United States, with an area of approximately 1,000 square miles. Currently, the populations of Alaska and Rhode Island are 732,000 people and 1 million people, respectively. If Alaska had the same number of people per square mile as Rhode Island, what would its population be? In two or more sentences, explain your calculations and conclusions.

Answers

Answer:

663 Million people

Step-by-step explanation:

If you divide alaska into rhode island its 663 rhode islands in alaska, then theres 663 people in alaska fi the populations were the same

Plz, Help Me!!!!
Solve: f(x)=(-)x-5
And tell me how to solve it.

Answers

Answer:

listen to your teacher for once mabey that will help?

Step-by-step explanation:

Work out 1/4 + 2/3 - 1/6

Answers

Answer:

it is 0.75 (1/4)+ (2/3)-(1/6)=0.75=3/4

Picture I drew of custom made re animated sasuke eye

Answers

Answer:

[tex]five[/tex] [tex]stars![/tex]

★ ★ ★ ★ ★

100 POINTS!!!

If you have a line perpendicular to the line given by the equation


, what would be the slope of the perpendicular line?

EXPLAIN

Answers

Answer:

A.

Step-by-step explanation:

The slope of a perpendicular line is the negative reciprocal of the original  line.

Negative reciprocal of -4/5 is 5/4

How many milliliters are in 12.34 liters?

Answers

Answer:

12340milliters

Step-by-step explanation:

is the right answer

Answer:

12.34 liters  = 12340 milliliters

Step-by-step explanation:

Which numbers complete the blanks when solving the equation cos(x+2pi)= -(square root of 2/2) over the interval [0, 2pi]?

Answers

Answer:

1, 0

Step-by-step explanation:

Let [tex]\cos (x+2\pi) = -\frac{\sqrt{2}}{2}[/tex]. From Trigonometry we remember the following identity:

[tex]\cos (a+b) = \cos a \cdot \cos b - \sin a \cdot \sin b[/tex] (Eq. 1)

Where [tex]a[/tex] and [tex]b[/tex]  are angles measured in radians.

Then, we proceed to expand the given expression:

[tex]\cos x \cdot \cos 2\pi - \sin x \cdot \sin 2\pi = -\frac{\sqrt{2}}{2}[/tex]

[tex]\cos x \cdot 1 - \sin x \cdot 0 = -\frac{\sqrt{2}}{2}[/tex]

[tex]\cos x = -\frac{\sqrt{2}}{2}[/tex]

Therefore, correct answer is "1, 0".

Answer:

A 1;0

Step-by-step explanation:

Unit test in science if you took it. It's question 10 four students measure the length of a paperclip whose actual length is 3.2 cm. Whose measurement is precise but not accurate? IS IT A OR B I DONT KNOW A.Samuel: 2.7, 2.7, 2.7, 2.8 B. Jose: 2.2, 2.6, 3.0, 3.3 C. Nikita: 3.1, 3.1, 3.2, 3.2 D. Anne: 2.6, 3.2, 3.2, 3.6

Answers

Answer: A.Samuel: 2.7, 2.7, 2.7, 2.8

Step-by-step explanation:

Given that actual length = 3.2cm

Samuel's score is precise but inaccurate. This is because, each of Samuel's four measurements are close to each other even though it lacks accuracy, because it is a bit far from the actual value of the measurement. Hence, of the measurements given for each of Samuel, Nikita, Jose and Anne, Samuel's score exhibits precision but inaccurate. Nikita's score is both precise and accurate

Summer got 12 multiple choice and four constructed response questions correct. Summer scored eight points more than Kerry who got 10 multiple-choice and three constructed response questions correct. Enter an equation that shows how much each multiple-choice question (m) and each constructed response question (c) is worth.

Answers

Answer: 2m + c  =4

Step-by-step explanation:

Let m = Number of multiple-choice questions

c = Number of constructed response questions

For Summer,

Total marks = 12m + 4c

For kerry,

Total marks = 10m+3c

Summer scored eight points more than Kerry implies

12m + 4c = 4+(10m+3c)

⇒ 12m + 4c =  4+ 10m+3c

⇒  12m + 4c - 10m-3c =4

⇒  2m + c  =4

Hence, required equation that shows how much each multiple-choice question (m) and each constructed response question (c) is worth. :

2m + c  =4

Solve the inequality x +1<5

Answers

Answer:

x<4

Step-by-step explanation:

x+1<5x<5-1x<4 answer.

Complete the table below: Show all your work.

Answers

y = (-2) - 6 = -8

y = (-1) - 6 = -7

y = (0) - 6 = -6

y = (1) - 6 = -5

y = (2) - 6 = -4

-2 = -8

-1 = -7

0 = -6

1 = -5

2 = -4

Find the slope. Plot the points (-2,5) (1, 4).​

Answers

Answer: y= 13/3−x/3

Step-by-step explanation:

The slope of a line passing through two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.

We have that x1=−2, y1=5, x2=1, y2=4.

Plug the given values into the formula for a slope: m=4−(5)1−(−2)=−13.

Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).

b=5−(−13)(−2)=13/3

Finally, the equation of the line can be written in the form y=b+mx:

y=13/3−x/3

Answer:

-1/3

Step-by-step explanation:


Zane is planting an herb garden and goes to the garden center to buy plants. 18 of the plants
are rosemary plants, and 20 of the plants are plants of other types.
What is the probability that one plant randomly selected from the garden center will be a
rosemary plant? Write your answer as a fraction or whole number.

Answers

Answer:

P (rosemary) = 9/19

Step-by-step explanation:

Given :-

18 of the plants are rosemary20 plants are of other types

To Find :-

Probability of selecting a rosemary plant

Solving :-

Total No. of plants = 18 + 20 = 38 plantsP (rosemary) = No. of rosemary / No. of total plantsP (rosemary) = 18/38P (rosemary) = 9/19

Find the slope A(5, 4) and B(2, 10)

Answers

Answer:

-2

Step-by-step explanation:

Suppose that a family wants to start a college fund for their child. if they can get a rate of 5.2%, compounded monthly, and want the fund to have a value of $55,500 after 20 years, how much should they deposit monthly? assume an ordinary annuity and round to the nearest cent. a. $131.93 b. $2,662.49 c. $1,643.30 d. $3,446.64

Answers

The ordinary annuity is $135.40

We have given that the

P=55500$

rate(r)=5.2%

time (t)=20 years

What is the formula for the ordinary annuity ?

The formula for ordinary annuity is:

[tex]P = A \times \frac{((1 + r)^n- 1)}{ r}[/tex]

Where,P - future value

r - rate

A - annuity payment

n - the number of years

Use the given value in the above formula of ordinary annuity so we get,

[tex]55000 = A ((1 + 0.052)^{20} - 1) / 0.052[/tex]

[tex]55000 = A * ((1.052)^{20} - 1) / 0.052[/tex]

[tex]55000 = A * (2.76 - 1) / 0.052[/tex]

[tex]55000 = A * 1.76 / 0.052[/tex]

[tex]55000 = A * 33.85[/tex]

[tex]A = 55000 / 33.85[/tex]

[tex]A = 1624.82[/tex]

Therefore the annual payment(A)=1624.82 and since year has 12 months, monthly payment is

[tex]1624.82 / 12 = $135.40[/tex]

Therefore we get the ordinary annuity is $135.40

To learn more about the ordinary annuity visit:

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Answer:

a) 131.93

Step-by-step explanation:

Can someone please explain how to answer no​​​​​​8 and​ no​​​9?

Answers

Answer:

no8 is a and no9 is b

A hoodie has an original
cost of $40 but is currently on
sale at 20% off. What is the
sale price of the hoodie?

Answers

Answer:

32

Step-by-step explanation:

take $40, multiply by .8 since 20% is the sale

%20 of $40 is $8 and 40-8 is 32. $32

What is 4x greater than or equal to -9

Answers

Answer:

-36

Step-by-step explanation:

4 x -9 = -36

This is how I interpreted the question, feel free to correct me if I am wrong.

help my lil cousin with her work

Answers

Answer:

4. obtuse

5. obtuse

6. acute

7. acute

8. obtuse

Step-by-step explanation:

4. This angle is greater than a right angle (because it extends farther than one), so this is obtuse.

5. This angle is greater than a right angle, so this is obtuse.

6. This angle is smaller than a right angle (because it extends less than one), so this is acute.

7. This angle is smaller than a right angle, so this is acute.

8. This angle is greater than a right angle, so this is obtuse.

Need help again, due on Fri. Thank you in advance!!

Irrelevant answers will be deleted.​

Answers

Answer:

Step-by-step explanation:

6) √48, √12

√48 = √4² x 3 = 4√3

√12 = √2² x 3 = 2√3

= 4√3, 2√3

7) √28, √63

√28 = √2² x 7 = 2√7

√63 = √3² x 7 = 3√7

=2√7, 3√7

8) ⁴√32, ⁴√162

⁴√32 = ⁴√2⁴ x 2 = 2 ⁴√2

⁴ √162 = ⁴√3⁴ x 2 = 3 ⁴√2

=2 ⁴√2, 3 ⁴√2

9) ∛40, ∛135

∛40 = ∛2³ x 5 = 2∛5

∛135 = ∛3³ x 5 = 3∛5

=2∛5, 3∛5

10) √8, √200

√8 = √2² x 2 = 2√2

√200 = √10² x 2 = 10√2

=2√2, 10√2

-{ModPatrol}

who wants brainyst :)

Answers

Answer:

[tex]\sf 23\frac{1}{3} \ cups \ of \ water[/tex]

explanation:

1 hour → [tex]\sf 1\frac{2}{3} \ cups \ of \ water[/tex]

14 hours → [tex]\sf (1\frac{2}{3} *14) \ cups \ of \ water[/tex]

14 hours →  [tex]\sf 23\frac{1}{3} \ cups \ of \ water[/tex]

Answer:-

Given :-

Drinks 1 ⅔cup for 1 hr of exerciseHe did 14 hrs of exercise in full month

Solution:-

According to questions ( unitary method)

[tex]1hr - > 1\frac{2}{3} cups = \frac{5}{3} cups\\ so - > \\ 14hrs - > \frac{5}{3} \times 14 \: cups \\ 14hrs - > \frac{70}{3} = 23 \frac{1}{3} cups[/tex]

So :- Option B :- 23 ⅓ cups of water

Suppose you are mixing
blue paint and yellow point
in a 2:3 ratio to make green
paint. How many pails of
blue paint would you need
If you use 30 pails of yellow
paint?

Answers

Answer:

20

Step-by-step explanation

I have no clue how to explain this.

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