Which are correct representations of the inequality 6x2 3 + 4(2x - 1)? Select three options.


Which Are Correct Representations Of The Inequality 6x2 3 + 4(2x - 1)? Select Three Options.

Answers

Answer 1

Answer:

Option A, B, and C.

Step-by-step explanation:

Given, 6x ≥ 3 + 4(2x - 1),

Solve to find the correct representations given in the options.

6x ≥ 3 + 4(2x - 1)

Apply distributive property

6x ≥ 3 + 8x - 4 (option B is correct) ✅

Add like terms

6x ≥ -1 + 8x

Add 1 to both sides

6x + 1 ≥ 8x

Subtract 6x from each side

1 ≥ 8x - 6x

1 ≥ 2x (option A is correct) ✅

Divide both sides by 2

1/2 ≥ 2x/2

½ ≥ x

½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.

This make option C correct.✅


Related Questions

What is the result when 12x3 + 20x2 + 11x + 2 is divided by 3x + 2?

Answers

Answer: 3x + 2) 12x� + 20x� + 11x + 2

Divide the first term 12x� by 3x: %2812x%5E3%29%2F%283x%29=4x%5E2

and write 4x� above the 20x�:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

Multiply the 4x� by the (3x + 2) getting 4x%5E2%283x%2B2%29=12x%5E3%2B8x%5E2 and

write it under the first two terms and draw a line underneath:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�  

Subtract %2812x%5E3%2B20x%5E2%29-%2812x%5E3%2B8x%5E2%29=12x%5E3%2B20x%5E2-12x%5E3-8x%5E2=12x%5E2,

and write 12x� under the line under 8x�, like this:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x�

Now bring down the next term + llx and write in next to the 12x�

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

Divide the first term on the bottom 12x� by 3x: %2812x%5E2%29%2F%283x%29=4x

and write + 4x above the 11x at the top, like this:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

Multiply the 4x by the (3x + 2) getting 4x%283x%2B2%29=12x%5E2%2B8x and

write it under the first two terms and draw a line underneath:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

Subtract %2812x%5E2%2B11x%29-%2812x%5E2%2B8x%29=12x%5E2%2B11x-12x%5E2-8x=3x,

and write 3x under the line under 8x, like this:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x

Now bring down the last term + 2 and write in next to the 3x

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

Divide the first term on the bottom 3x by the 3x at the left:

%283x%29%2F%283x%29=1 and write + 1 above the + 2 at the top,

like this:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

Multiply the + 1 by the (3x + 2) getting 1%283x%2B2%29=3x%2B2 and

write it under the two terms at the bottom and draw a line

underneath:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

                      3x + 2

Subtract %283x%2B2%29-%283x%2B2%29=3x-3x=0,

and write 0 under the line under 2, like this:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

                      3x + 2

                           0

Now you are done and the answer is 4x%5E2%2B4x%2B1 and

since the remainder is 0 you do not have to put it over

the divisor 3x+%2B+2 and add it on like you do when

the remainder is not 0.

Step-by-step explanation:

I'll give 15 points for this question ​

Answers

Answer:

4. Is 6 eggs

5. Is 7 eggs

Step-by-step explanation:

1. A science experiment calls for 150 mL of water, but Simon measures out 147 mL. What is the absolute error?​

Answers

Answer:

Step-by-step explanation:

150-147=3ml

he didn't add the remain of 147ml which was 3ml.

answer both and I will give brainiest and 50 points.
Describe the location of the point in coordinate space.
(–7, 9, –2)
From the origin, move 7 units back, 9 units left, and 2 units down.
From the origin, move 7 units back, 9 units right, and 2 units up.
From the origin, move 7 units forward, 9 units right, and 2 units down.
From the origin, move 7 units back, 9 units right, and 2 units down.

Describe the location of the point in coordinate space.
(–2, 8, –4)
From the origin, move 2 units back, 8 units left, and 4 units down.
From the origin, move 2 units forward, 8 units right, and 4 units down.
From the origin, move 2 units back, 8 units right, and 4 units up.
From the origin, move 2 units back, 8 units right, and 4 units down.

Answers

Answer:

1. From the origin, move 7 units back, 9 units right, and 2 units down.

2. From the origin, move 2 units back, 8 units right, and 4 units down.

Hope this helps :)

Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic haircut in 1998 and has been raising prices by a steady percentage each year to keep up with inflation.

What is the price of a haircut at the salon in 2008? Explain or show your reasoning.

In 2003, the salon charged $19.95 for a basic haircut. Find the cost of the basic haircut in 2013. Explain your reasoning.

Answers

9514 1404 393

Answer:

$22.12$24.51

Step-by-step explanation:

For some growth factor f each year, the growth factor over 20 years is given as ...

  f^20 = 1 +0.51 = 1.51

Then the growth factor in 10 years is ...

  f^10 = (f^20)^(1/2) = √1.51 ≈ 1.22882

__

a) In the 10 years between 1998 and 2008, the price of a basic haircut would rise to ...

  $18 × 1.22882 ≈ $22.12 . . . price in 2008

__

b) In the 10 years between 2003 and 2013, the price of a basic haircut would rise to ...

  $19.95 × 1.22882 ≈ $24.51 . . . price in 2013

I have 8 questions witch means 80 points answer correctly!

Answers

Answer :

[tex] \Large \pink{\tt \dfrac{35}{36}}[/tex]

Solution :

[tex] \tt \dfrac{3}{4} + \dfrac{2}{9}[/tex]

By taking LCM = 4 × 9 = 36

[tex] \tt = \dfrac{3 \times 9}{4 \times 9} + \dfrac{2 \times 4}{9 \times 4}[/tex]

[tex] \tt = \dfrac{27}{36} + \dfrac{8}{36}[/tex]

[tex] \tt = \dfrac{27 + 8}{36}[/tex]

[tex] \tt = \dfrac{35}{36}[/tex]

[tex] \pink{\tt \therefore \: Answer \: is \: \dfrac{35}{36}}[/tex]

Y=-2/5x-4 find slope and y intercept

Answers

Answer:

slope= -2/5

y intercept is (0,-4)

Step-by-step explanation:

Find the measure of each angle indicated. Plz

Answers

Answer:

55degrees

Step-by-step explanation:

plz help it’s the pythagorean theorem

Answers

36 bc IK jansunavaihabsuz

What is the value of x? (Please help ASAP)

Answers

Answer:

110

Step-by-step explanation:

Bigger then 90 less than 120

I think the answer is 110 I hope this helps you

Farell has a gift card with a 45 balance he bought some bags of chips that cost 2.50 each after his perchase his gift card balance was 32.50 write and solve the equation to find how how many bags of chips x he bought

Answers

Answer:

He bought 5 bags of chips

Step-by-step explanation:

Here, we want to calculate the number of bags of chips bought

The amount used on the balance is;

45-32.5 = 12.5

Let the number of chips bought be n

Since each chip cost 2.5 each;

The amount of chips bought will be 2.5 * n = 2.5n

This is same as 12.5

Thus;

2.5n = 12.5

n = 12.5/2.5

n = 5

The expression ( x − 12 ) is a factor of x 2 + p x − 48 . What is the value of p ?

Answers

Answer:

p = -8

Step-by-step explanation:

Since, (x - 12) is a factor, then;

x - 12 = 0

x = 12

substitute the value of x in the equation

[tex]x^{2}[/tex] + px - 48 = 0

[tex](12)^{2}[/tex]  + 12p - 48 = 0

144 + 12p -48

12p = -144 + 48

12p = -96

p = -8

So that,

[tex]x^{2}[/tex] +-8x - 48 = 0

[tex]x^{2}[/tex] -12x + 4X- 48 = 0

([tex]x^{2}[/tex] -12x) + (4X- 48)

X(X - 12) + 4(X - 12)

(X - 12) (X + 4)

Therefore, p = -8 and (X - 12) (X + 4) are factors of the equation.

which choice is equivalent to the expression below ^-216​

Answers

Answer:

B. 6i√6

General Formulas and Concepts:

Algebra II

Imaginary Numbers: √-1 = i

Step-by-step explanation:

Step 1: Define expression

√-216

Step 2: Simplify

Factor:                     √-1 · √216Simplify:                   i · 6√6Multiply:                   6i√6
B because when you take the square root of a negative number, it is imaginary (i). That eliminates A,C,D. When you take the square root of -216, the radical will no longer be negative since you identified it as imaginary. The greatest perfect square that you can take from 216 is 36.( 36 x 6= 216). So the square root of 36 is 6. So 6i radical 6 which is B. You can’t simplify the 6 inside the square root because it is not a perfect square. Hope this helps!

Monthly Salary = $325

Commission = 4.5%

Sales = $1,200

How much money made?

Answers

Multiply commission percentage by sales and add to the salary.

1200 x 0.045 = 54

325 + 54 = 379

Total made = $379

PLEASE HELP MEEE!!!!! GIVE YOU ANYTHING YOU WANT JUST GIVE ME THE ANSWER! well, i wouldn't give you everything but i will give you brainlest and points. that's really all you need correct?

Which binomials are factors of x2−9x−36?

Select the two correct answers.


x + 9

x−3

x + 3

x−4

x + 4

x−12

x + 12

x−9

Answers

Answer:

Step-by-step explanation:

x²-9x -36 =(x+3) (x -12)

because

x² -12x +3x -36 =

x( x-12) +3( x-12)=

(x-12) (x+3)

Could someone help this question? I need help please and thank you​

Answers

Answer:

second one

Step-by-step explanation:

-6 + 30 = 24

Please help If you can

Answers

Answer:

B is the answer!!!!!!!!!

Gente ayuda por faavor ,alguien lo puede resolver
Cuáles son los números enteros que cumplen con cada una de las siguientes condiciones?
a) La distancia entre dos números opuestos es 6.
b) El siguiente de su opuesto es -3.
c) La mitad de su anterior es -2.
d) El doble de su siguiente es el opuesto de 6.
e) El valor absoluto o módulo de su siguiente es menor que su anterior.

Answers

The answer for this answer would be A

What is the slope of the equation y = 12x - 19?

Answers

Answer:

12 is the slope.

Step-by-step explanation:

This is because in the equation y = mx + b, m is the slope.

Hope this helps!

solve by factoring

[tex]x^{4}+x^{3}-6x^{2}[/tex]

Answers

Think the answer is...

Which of the following does not represent a function?

Answers

Answer:

D,

Step-by-step explanation:

D would be the only one that doesn't represent a function because the y-value never changes while the x-value does.

Which transformation will carry a regular octagon onto itself?

Answers

Answer:

you have to move it to an adjacent side. hope this helped have a nice day:)

Section 4 write a rational number for 2 out of 4 of the points on the number line? Pls help

Answers

Answer:

All the points to the right of 0 are rational

Step-by-step explanation:

rear above

All the points on the right of 0 are rational

Linear Review: Billy Bob recently purchased solar panels for his home. After 5 months he still owed 2850. He makes a $30 payment each month towards his loan. Build a model. Write an explanation for slope and y-intercept. How many months will it take Billy Bob to finish making payments.

Answers

Answer:

Step-by-step explanation:

B) The first step is to calculate the monthly payment using a present value (PV) of $59,000 , monthly interest rate of 7.60 /12 = 0.633333 %, and 60 periods, which = $1185.04 ; the second step is to add $50 to this monthly payment giving the new monthly payment of $1235.04 ; the last step is to calculate the time required to pay off the loan = 57.0740 months.

If Elena eats 2 servings of granola , how many calories dose she eat?

Answers

Answer:

700

Step-by-step explanation:

Please give brainliest

Divide 1750 by 5 and get 350.

350 times 2 is 700

I’ll mark u brainliest if u answer this question!!.!!!!!!!!!-!!:):):)

Answers

Answer:

a)60 per week

b) 6 weeks

Step-by-step explanation:

a)

[tex]240/4=60[/tex]

b)

[tex]349\leq 60x\\349/60\leq 60x/60\\5.82\leq x[/tex]

How many pounds are in 3000 ounces?

Answers

Answer:

187.5 pounds are in 3000 ounces

Step-by-step explanation:

The answer will be 187.5 pounds

A friend gives you two baseball cards for your birthday. Afterward, you begin collecting them. You buy the same number of cards once each week. The equation y = 4x + 2 describes the number of cards, y, you have after x weeks.
Discuss which points on the line do not make sense in this situation. Then plot three more points on the line that do make sense.

Answers

Answer:You have 2 cards upfront, so the constant term in this linear equation is 2.  The slope represents how many more cards you buy or acquire per day, week or month (depending upon how eager you are to fatten your collection).  ;)

y = 2 + (rate of acquisition of cards)(time)

y = 2 + rt

I’ll love you forever if you help me with this ASAP PLEASE

Answers

Answer:

y = 4

or (0, 4)

Step-by-step explanation:

intersecting the y-axis is basically when x is equal to 0.

1.5(0) +4.5y = 18

y = 4

So your y-intersect is (0, 4) and thats when it intersects the y-axis.

y= 4 Hope it helps! <3

what is x:
3 + 12x = 63

Answers

Answer:

X=5

Step-by-step explanation:

3+12x=63

Subtract 3 from both sides

12x=60

Divide both sides by 12

X=5

Answer:

Ummm... Ok... Answer: X = 187 / 39 OR X = 4.794872

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

/3  + 1 2  = 63

3(​x/3 + 12x) = 3.63

Simplify

Distribute Cancel multiplied terms that are in the denominator Combine like terms Multiply the numbers

37x = 189

Divide both sides of the equation by the same term

37x = 189

37x / 37 = 189 / 37

Simplify

Cancel terms that are in both the numerator and denominator

x = 187 / 39

OR

x = 4.794872

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