What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x 12? (–[infinity], –3] [–3, [infinity]) (–[infinity], 15] [15, [infinity])

Answers

Answer 1

The minimum of x is 15, and the most is infinity, which is the same thing as [15, ∞).

We have given inequality is

–3(6 – 2x) ≥ 4x + 12

What is the meaning of inequality?

The statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

[tex]-3(6 - 2x) \geq 4x + 12\\-18 + 6x \geq 4x + 12\\6x - 4x \geq 12 + 18\\2x \geq 30\\x \geq 15[/tex]

This means that the minimum of x is 15, and the most is infinity, which is the same thing as [15, ∞).

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Related Questions

Solve the linear equation
Please send the work as well

2/5x + 25= 4/5x + 30

Answers

Unknowns on one side, known on other.

2/5x - 4/5x = 30-25

-2/5x=5
X= -25/2
X=12.5

Answer:

x = 12 1/2

Step-by-step explanation:

Combine like terms, as follows:  25 - 30 = (4/5)x - (2/5)x, or

                                                            5     = (2/5)x

Multiplying both sides by (5/2) 'solves' this equation for x:

(5/2)(5) = (5/2)(2/5)x => (25/2) = x

Then x =25/2 or x = 12.5 or x = 12 1/2

Someone help me with this question

Answers

Answer:

Step-by-step explanation:

Defining CB

CB is not the hypotenuse of triangle ABC. The hypotenuse is the longest side of any right triangle. CB is the other side other than the hypotenuse that makes up <C. It is the adjacent side because AC and CB make up angle C.

Defining Cos(C)

All of this makes up what you need to know to define the Cos(C)

Cos (C) = adjacent side / hypotenuse.

adjacent side = 6

Hypotenuse = 10

Cos(C) = 6/10

Answer: B

As the sample size gets larger, what happens to the size of the correlation that is needed for significance?.

Answers

If the sample size gets larger, the size of the correlation that is needed for significance will get smaller.

What will happen to the significance required when sample size increases?

As the sample size gets larger, it's characteristics will become more and more like the population it is derived from which makes predictions more accurate.

As a result, the correlation size that is needed to decide significance will reduce. This tallies with the characteristic of the correletion coefficient to be lower when the sample size is greater.

Find out more on the correlation coefficient at https://brainly.com/question/4219149.

12 and a 1/2 % of a day is how many hours

Answers

Answer:

3 hours

Step-by-step explanation:

12.5% of a day will be equal to :

12.5% of 24

10% is 2.4 hours

2.5% is 0.6 hours

adding these up gives us 3 hours.

Hope this helps and Brainliest please

I am less than my half and greater than my double. The sum of me and my square is zero.
Who
am I?

Answers

Answer: -1

Step-by-step explanation:

[tex]\frac{-1}{2}[/tex] is greater than -1 as it is closer to 0

[tex](2)-1=-2[/tex]

-1 is greater than -2 as -1 is closer to 0

[tex]-1+(-1)^2\\-1+1\\0[/tex]

The sum of -1 and its square is 0

How many 30 degrees angles fit in a right angle?

Answers

Answer:

3

Step-by-step explanation:

A right angle is 90 degrees. 90/30=3

6 is the answer. hope this helpsssss

There are 12 boys and 15 girls in Mr. Fraioli’s math class. He will randomly call on one person to answer the problem of the day. What is the probability that he will choose a girl

Answers

n = 12 + 15 = 27

Probability of choosing girl,

p = 15/27

Probability of choosing boy,

q = 1 - 15/27 = 12/27

[tex]P(X = 1) = \binom{27}{1} { (\frac{15}{27}) }^{1} ( { \frac{12}{27} )}^{26} \\ = 1.045552364 \times {10}^{ - 8} [/tex]

The probability that he will choose a girl will be equal to 15/27.

What is the probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that there are 12 boys and 15 girls in Mr Fraioli’s math class. He will randomly call on one person to answer the problem of the day.

The probability that he will choose a girl,

n = 12 + 15 = 27

Probability of choosing a girl,

p = 15/27

Probability of choosing boy,

q = 1 - 15/27 = 12/27

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Jasmyn is 4 years older than Sofie. three times Jasmyn age added to six times Sophie's age is 36. How old are Jasmyn and Sofie?

Answers

Answer:

Sophie is 2 and 8 months old

Jasmyn is 6 and 8 months old

Step-by-step explanation:

j = 4 + s

3j + 6s = 36

Solve for Sophie's age by substitution:

3(4 + s) + 6s = 36

12 + 3s + 6s = 36

12 + 9s = 36

9s = 24

s = 24/9 = 8/3 or 2 and 2/3

Sophie is 2 and 8 months old

Solve for Jasmyn's age:

j = 4 + s

j = 4 + 8/3

j = 12/3 + 8/3

j = 20/3 or 6 and 2/3

Jasmyn is 6 and 8 months old

I hope this helps!

(10^x/6) (10^x/8)=10^10

Answers

Answer:

(10^x/6)(10^x/8)=10^10

Exact Form: 6/253

In Decimal Form (rounded off): 0.02

Hope it helps! :)

If humans lost the ability to see all color except one, which color would you want to survive?

Answers

Answer:

The color blue. There’s many shades of blue and plus blue is my favorite color. I’ll be able to tell if I’m drinking water or not.

Blue . Is the color I like most and even if I can’t see any color seeing blue can make me comfortable

Estimate the perimeter of the figure to the nearest whole number.



perimeter: about
units

Answers

Answer:

i d k

Step-by-step explanation:

we cant see your figure so

Which expressions result in an irrational number

Answers

Answer:

III ONLY

If right please make brainleist for others to learn from this answer thanks!

Step-by-step explanation:

Anja divides (8x3 – 36x2 54x – 27) by (2x – 3) as shown below. what error does anja make? 2 x minus 3startlongdivisionsymbol 8 x cubed minus 36 x squared 54 x minus 27 endlongdivisionsymbol. minus 8 x cubed minus 12 x squared to get a remainder of negative 24 x squared 54 x. minus 24 x squared 36 x to get a remainder of 18 x minus 27. minus 18 x 27 to get a remainder of 0 and a quotient of 4 x squared minus 12 x 9 she makes a subtraction error. she makes an error choosing the x-term in the quotient. she makes a multiplication error. she makes an error rewriting the problem in long division.

Answers

Anja divides (8x3 – 36x2 54x – 27) by (2x – 3) in this process she makes a multiplication error.

We have given,

Anja divides (8x3 – 36x2 54x – 27) by (2x – 3)

2 x minus 3start long division symbol 8 x cubed minus 36 x squared 54 x minus 27 end long division symbol.

What is the division of polynomials?

To divide each term in the polynomial by the monomial, and then write each quotient in the lowest terms.

minus 8 x cubed minus, 12 x squared to get a remainder of negative 24 x squared 54 x.

minus 24 x squared 36 x to get a remainder of 18 x minus 27.

minus 18 x 27 to get a remainder of 0 and a quotient of 4 x squared minus 12 x 9.

Therefore we can conclude that she makes a multiplication error.

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The Anja makes multiplication error, she writes 18x + 27 instead of 18x - 27 option third is correct.

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have dividend polynomial:

[tex]\rm 8x^3 -36x^2+54x-27[/tex]

Divisor polynomial:

[tex]\rm 2x-3[/tex]

If divide [tex]\rm 8x^3 -36x^2+54x-27[/tex] by [tex]\rm 2x-3[/tex] we will get,  quotient polynomial[tex]\rm 4x^2-12x+9[/tex], and remainder is zero but in the process of Anja's divide she did multiplication error as:

9(2x - 3)  ⇒ 18x + 27

She put positive sign instead of negative.

The correct way of multiplication is as follows:

9(2x - 3) ⇒ 18x - 27

Thus, the Anja makes multiplication error, she writes 18x + 27 instead of 18x - 27 option third is correct.

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On Tuesday 27% of the customers who bought gas at a gas station made additional purchases. There were 300 customers who bought gas. How many of these 300 customers made additional purchases?

Answers

Answer:

81

Step-by-step explanation:

how to calculate procentage:
300(total) x 27(procentage) : 100 = 81

give brainliest

y = 3x + 1, -x + 2y = -3

Answers

Answer:

X= -1 y= -2

Step-by-step explanation:

y= 3x+1

y-1 =3x

X= y-1/3...(1)

-x+2y= -3

-(x-2y)= -3

x-2y=3

(y-1/3)-2y =3 (from eq (1))

y-1-6y =3×3

-5y= 10

y= -2

X= y-1/3

= -2-1/3

x = -1

amount if you decrese 35 by 20%​

Answers

Answer:

26.25

Step-by-step explanation:

So if you want to remove 25% from 35 you have to multiply the two you get 8.75 then minus that from 35 you get 26.25

Determine the average rate of change in median age per year from 1930 to 1960

A. -0.5 years of age per year
B. 20 years of age per year
C. -0.05 years of age per year
D. +0.05 years of age per year

Answers

Answer:

It's C -0.05 years of age per year

Step-by-step explanation:

Which of the following is a net of a triangular prism? A) Figure A B) Figure B C) Figure C D) None of these

Answers

Step-by-step explanation:

Figure A is the triangular prism

At a skills competition, a target is being lifted into the air by a cable at a constant speed. an archer standing on the ground launches an arrow toward the target. the system of equations below models the height, in feet, of the target and the arrow t seconds after it was fired. which statement most likely describes the situation modeled by this system?

Answers

The answer will be option 4.The arrow is fired with an initial upward velocity of 32 ft / s.

What is Velocity?

Velocity is defined as when an object travels to a particular distance with respect to time in a particular direction then it is termed as velocity. Velocity is a vector quantity.

By definition, the equation of movement in its generic form is given by:

[tex]h(t)=-\dfrac{1}{2}gt^2+v_ot+h_o[/tex]

Where,

g: acceleration due to gravity

[tex]v_o[/tex]: initial speed

[tex]h_o[/tex]: initial height

The equation for the arrow is given by:

[tex]h=4+32t-16t^2[/tex]

Then, according to the definition, the initial velocity of the arrow is:

[tex]v_o=32 \ \dfrac{m}{s}[/tex]

Hence the answer will be option 4.The arrow is fired with an initial upward velocity of 32 ft / s.

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Answer:

Step-by-step explanation:

d on edge i took the test

Please help me i can’t figure it out

Answers

Answer:

51

Step-by-step explanation:

Always do parentheses first.

So 39-3=36

Then 36+6+3power of 2

36+6=42

42+3 power of 2

3 times 3 = 9

42+9=51

Answer:

51

Step-by-step explanation:

I got it right on the test

Earl made a 1/2 pan of brownies using 2/3 cup of sugar How much sugar will it take for a whole pan of brownie

Answers

Answer:

It will take 4/3 cup of sugar or 1 and 1/3 cup of sugar

Step-by-step explanation:

1/2 + 1/2= 1

2/3 + 2/3=4/3 or 1 and 1/3

hope this helps:)

26. The length of ABC is 110 ft. What is the radius
of circle D? Round to the nearest tenth.

Answers

Answer:

The radius of the circle is 20.6

What is the value of x?



Enter your answer in the box.

x =

Answers

17.3

52÷3=17.3

if i am mistaken

Those are vertical angles which are equal to each other:


2x + 2 = 3x - 52

Add 52 to both sides:

2x + 54 = 3x

Subtract 2x from both sides:

54 = x

Rewrite as x = 54

Write equivalent fractions for 2/3 and3/5 using 15 as the common denominator

Answers

Answer:

2/3 would be 10/15 and 3/5 would be 9/15

Step-by-step explanation:

To get the common denominator of 15 you multiply the first fraction by 5 in the numerator and denominator and on the other fraction you multiply by 3 in the numerator and denominator.

Which of the following is least likely to be a warning sign that one's debt is at a critical point? a. all credit cards are at their limits b. having several credit cards c. making only minmum payments on credit cards d. using cash advances to pay bills please select the best answer from the choices provided. a b c d

Answers

The option which is least likely to be a warning sign that one's debt is at a critical point is having several credit cards.

What is a warning sign for credit cards?

The most likely warning sign for credit cards is not paying or clearing the debt of the credit card in full each month.

The options given in the problem are,

a. All credit cards are at their limits. b. Having several credit cards. c. Making only minimum payments on credit cards. d. Using cash advances to pay bills.

In these options, least likely to be a warning sign is having several credit cards as having multiple cards and well management of them required the carefulness and awareness.

Thus, the option which is least likely to be a warning sign that one's debt is at a critical point is having several credit cards.

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if x+3/3=y+2/2 then, x/3 = ?

Answers

Answer:

y-2

Step-by-step explanation:

x+3/3=y+2/2

cross multiply

2(x+3)=3(y+2)

2x+6=3y+2

2x=3y+2-6

2x=3y-4 (divide both sides by 2)

2x/2=3y-4/2

x=3y-2

therefore substitute x=3y-2 into x/3

3y-2/3

=y-2

A ray of an angle that rotates about the center is called?

Answers

A ray of an angle that rotates about the center is called terminal arm of that angle.

How does an angle form?

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

One arm is fixed, and one arm rotates around that vertex to make angles of different different measurements.

The fixed arm is called initial arm/initial side.

The moving arm is called terminal arm/terminal side.  

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

Thus, a ray of an angle that rotates about the center is called terminal arm of that angle.

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The radius of a circle is 7 inches. What is the length of a 135º arc?

Answers

Love you bro it c or b

Evaluate the expression.

52−4⋅6+11

Enter your answer in the box.

Answers

Answer: 39

Step-by-step explanation: PEMDAS

I am thinking of two numbers whose difference is 32. Twice the smaller number is 12 more than the larger number. What are my numbers?

Answers

Answer:
Smaller number = 44
Larger number = 76
Step-by-step explanation:
let x and y be the two numbers we are looking for and x ≤ y
we must interpret the statement “their difference is 32” like this:
y - x = 32
we must interpret the statement “Twice the smaller number is 12 more than the larger number” like this:
2x = y + 12

As a result we get this system of equations :
y - x = 32
2x = y + 12
Let’s solve it (We proceed by elimination) :
y - x = 32
2x = y + 12

-x + y = 32 We label this Equation (1)
2x - y = 12 We label this Equation (2)

(1) + (2) → -x + y + 2x - y = 32 + 12
then x = 44
Now we replace x in equation (1) we get -44 + y = 32
then y = 32 + 44 = 76


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