3x + 12 – 6x ≤ -9 Solve, graph, and express the following inequalities in interval notation.

Answers

Answer 1

Interval notation/solve : [7,♾]
Graph :

Answer 2

The solution of inequality 3x + 12 – 6x ≤ –9 will be greater than or equal to 7.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

3x + 12 – 6x ≤ –9

Simplify the equation, then the value of 'x' is calculated as,

3x + 12 – 6x ≤ –9

6x – 3x ≥ 12 + 9

3x ≥ 21

x ≥ 21 / 3

x ≥ 7

The solution of inequality 3x + 12 – 6x ≤ –9 will be greater than or equal to 7.

The solution is shown on the number line.

More about the inequality link is given below.

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Related Questions

cc is guaranteed the larger of $500 per week or 7% of sales. last week she 4
sold $6785. How much was her check for?

Answers

Step-by-step explanation:

6785*7%=474.95

Hope this helps

Mr. Smith drove for 45 minutes at a speed of 40 km/h. He stopped for 15 minutes for a coffee break and then he drove for 2 hours at a speed of 75 km/h. What was his average speed for the entire journey?

Answers

Answer:

60 km/h

Step-by-step explanation:

Average speed is total distance over total time.

Total distance: 30 + 0 + 150 = 180 km.

Total time: 0.75 + 0.25 + 2 = 3 hrs.

180/3 = 60/1

what is the solution of
_/x+12=x ?

Answers

Answer:

x = -3 or x = 4

Pascha is factoring the polynomial, which has four terms.
3x^3 – 15x^2 + 8x - 40
3x^2(x - 5) + 8(x - 5)
Which is the completely factored form of her polynomial?
O (3x^2 – 5) (X + 8)
O (3x^2 – 8) (x + 5)
O (3x^2 + 8) (x - 5)
O (3x^2 + 5) (x – 8)

Answers

Answer:

its (3x²+8)(x-5)

Step-by-step explanation:

3x² * x = 3x³.

3x² * -5 = -15x².

8 * x = 8x.

8 * -5 = -40.

The completely factored form of her polynomial is (3x² + 8)(x - 5).

What is the factoring of a polynomial?

"Factorization of polynomials expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain."

Given polynomial is:

3x³ – 15x² + 8x - 40

= 3x²(x - 5) + 8(x - 5)

= (3x² + 8)(x - 5)

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Will mark brainlist! Andrea spent $2 to make 10 prints from a photo both. Later, she spent $6 to make 30 prints. Did she get a better deal the first or second time she purchased prints. How do you know?

Answers

Answer:

She got an equally good deal both times

Step-by-step explanation:

[tex]\frac{2}{20}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

[tex]\frac{6}{30}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

they are the same

diving simply the following: 3 power 12÷3 power 7

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] {3}^{12} \div {3}^{7} = [/tex]

[tex] {3}^{12} \times {3}^{ - 7} = [/tex]

[tex] {3}^{12 - 7} = {3}^{5} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

I think the answer is 243.

Step-by-step explanation:

hope that helps

Oliver removed 56 marbles from his marble box and put them into 8 equal groups. How many marbles were in each group ? Please give the answer with statement, calculation and answer just like a word problem.

Answers

Answer:

Oliver had 56 marbles and he divided them equally in 8 groups. The number of marbles in each group = 56 marbles ÷ 8 groups = 7 marbles per group.

Step-by-step explanation:

In order to determine the number of marbles in each group you just have to divide the total number of units by the number of groups. In this case, the result is a whole number.

A rope is 1012 meters long. A piece of rope 458 long is cut off from the total length of the rope. What is the remaining length?

Answers

Answer:

554

Step-by-step explanation:

1012-458= 554

nothing left to explain

Please help me I will really appreciate it!!!

Answers

The answer is D

U would subtract a^2 then square both sides to isolate the variable

A local hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday. There were 59 fewer cheeseburgers sold than hamburgers

On tuesday how much did they sell

Answers

Answer:

On Tuesday

591 burgers are sold.

Some are hamburgers and some are cheeseburgers.

59 fewer cheeseburgers sold than hamburgers.

Number of cheeseburgers --> x

Number of hamburgers --> y

x+y= 591 --> x = 591-y

x = y-59

591-y = y-59

-2y = -650

y = 325

x = 325-59

x =266

The hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday.

Let's represent the number of hamburgers sold as "H" and the number of cheeseburgers sold as "C." From the information given, we have two equations:

1. H + C = 591 (The combined total of hamburgers and cheeseburgers sold on Tuesday was 591).

2. C = H - 59 (There were 59 fewer cheeseburgers sold than hamburgers).

Now, we can use substitution to solve for the number of hamburgers: Substitute the value of C from the second equation into the first equation:

H + (H - 59) = 591

Now, combine like terms:

2H - 59 = 591

Next, isolate the term with H:

2H = 591 + 59

2H = 650

Now, solve for H:

H = 650 / 2

H = 325

So, they sold 325 hamburgers on Tuesday. To find the number of cheeseburgers sold, use the second equation:

C = H - 59

C = 325 - 59

C = 266

They sold 266 cheeseburgers on Tuesday. To find the total sales, add the number of hamburgers and cheeseburgers: Total sales = 325 (hamburgers) + 266 (cheeseburgers) = 591.

To know more about combined total:

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EZ POINTSS!! I WILL GIVE BRAINLIEST!! All you have to do is compete with the other person about what my favorite color is. The winner will receive Brainliest. ..just giving back because I know some people don't have points.

Answers

Answer: red

Step-by-step explanation: that’s mine

Answer:

Pink

Step-by-step explanation:

Which pair of radicals is a pair of like radicals

Answers

The last choice, since they have the same number in their square roots.

Super easy question just don’t know it

Answers

Answer:

Integer

Step-by-step explanation:

Y+5= -3/4x Whats the slope?

Answers

Answer:

m = -3/4

Step-by-step explanation:

Slope = M

Please help! Need it ASAP!!!

Answers

Solutions:-8,0 and 4,-6
Not Solutions:0,2 and -2,0
Hope this helps

Simplify the expression:
- square root of 96

Answers

Answer:

Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.

Step-by-step explanation:

Will mark brainliest answer!
Ben wants to buy a new car stereo and he has already saved some money. He used this inequality to represent the amount he still has to save to be able to buy the stereo, where a represents the amount still left to save.

a + 212 greater-than-or-equal-to 365

If Ben saves $15 a week for the next 10 weeks, will he be able to buy the stereo and why?
No, because he needs to save at least $153, and he will only save $150 over the next ten weeks.
No, because he needs to save $577, and he will only save $150 more.
Yes, because he has already saved $365, and the stereo cost $212.
Yes, because he has already saved $212, and he will save another $150.

Answers

Answer:

No, because he needs to save at least $153, and he will only save $150 over the next ten weeks.

Step-by-step explanation:

Brainliest?

Answer:

the answer is A

Step-by-step explanation:

i got it right on the quiz

What is the absolute value of 2.8?

Answers

Answer:

2.8

Step-by-step explanation:

It is the same

2 1/2 + (-1/3)
plz, help me with this question I will mark the brainiest.

Answers

Answer:

2 1/2 + (-1/3) = 2 1/6

Step-by-step explanation:

Adding a negative number is the same as subtracting the opposite of it, so you get:

2 1/2 - 1/3

Then you need to convert them to the same denominator by using GCM (Greatest Common Multiple), getting:

2 3/6 - 2/6

Then, you subtract 2/6 from 3/6, getting:

2 1/6

Answer:

ur answer is 3

Step-by-step explanation:

because when ya think about it 1/2 and 1/3 are the same thing just 3 is teenie smaller

In which story is the answer to the question 0?
Michelle went to Yellowstone National Park to observe bison with her outdoor
recreation club. When they started their observation in the morning, the
temperature was -2°C. When they took a break at lunchtime, the temperature
had increased by 2°C. What was the temperature at lunchtime?
Michelle went to Yellowstone National Park to observe bison with her outdoor
recreation club. When they started their observation in the morning, the
temperature was -2°C. When they took a break at lunchtime, the temperature
had increased to 2°C. How much warmer was it at lunchtime than in the
morning?

Answers

Hi there!

Answer:

The temperature at lunchtime is 0 degrees Celsius.

Step-by-step explanation:

This is because we started at -2 and when we add 2 that brings us back at 0 (or neutral).

Hope this helps and please mark brainliest. Have a great day!

Name the property of operations illustrated by each statement.
a. 11.1+0=11.1
b. 6(2.7+4)=6(4+2.7)
1 2 1 22 c. 3 1 = 3311
( ⋅ )⋅ ⋅(( ⋅ ))
2
3 2 33
d. 18+(−18)=0

Answers

Answer:

The answer is B

Step-by-step explanation:

All they did was switch the numbers and if you use distribution it will be equal.

-4-8 and 3-(-1)
thats it

Answers

Answer:

-4-8=-12. 3-(-1)=3

Together they equal -9

Step-by-step explanation:

You have to multiply by the - sign outside the parentheses and the first one just count backwards

Answer:

-12 and -2

Step-by-step explanation:

15 points!!! Additive inverse is when two numbers have a sum of:

Answers

When two numbers have a sum of 0

0
You want your numbers to add up and have a sum of zero

What is the largest number of three consecutive integers whose sum is 42? O A. 13 B. 17 O C. 15 D. 12

Answers

Answer: 13

Step-by-step explanation:

3X + 3 - 3 = 42 - 3

3X = 39

3X/3 = 39/3

X = 13

Which means that the first number is 13, the second number is 13 + 1 and the third number is 13 + 2. Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.

13 + 14 + 15 = 42

We know our answer is correct because 13 + 14 + 15 equals 42 as displayed above.

(3/4)^3/1/128 Compute this and help soon I really don't know what else O should write. Oh and the answered has to be in fraction form and I would think that that is about it.

Answers

Answer:

The answer is 54

Step-by-step explanation:

Let us evaluate the exponent first

(3/4)^3 = 27/64

so we have

27/64 divided by 1/128

= 27/64 * 128/1 = 27 * 128/64

= 27 * 2 = 54

Item 6 Graph △JKL and its image after a reflection in the y-axis. J(5, 3), K(1,−2), L(−3, 4)

Answers

Answer:

J(-5,3) K(-1,-2) L(3,4)

Step-by-step explanation:

Reflections over the y axis make the x its opposite. 5 would change to -5, 1 would change to -1, and -3 would change to 3.

When a shape is reflected, it must be reflected across a line.

See attachment for the graph of the image of JKL

The coordinates are given as:

[tex]\mathbf{J = (5,3)}[/tex]

[tex]\mathbf{K = (1,-2)}[/tex]

[tex]\mathbf{L = (-3,4)}[/tex]

The rule of reflection across the y-axis is:

[tex]\mathbf{(x,y) \to (-x,y)}[/tex]

So, the image of the reflection is:

[tex]\mathbf{J'= (-5,3)}[/tex]

[tex]\mathbf{K'= (-1,-2)}[/tex]

[tex]\mathbf{L'= (3,4)}[/tex]

See attachment for the graph of the image of jKL

Answers

Answer:

3/1

Step-by-step explanation:

Answer:

nmhii

Step-by-step explanation:

HURRY I NEED HELP SOON
One week, Gabriela and Luis earned the same amount of money. Gabriela earned $7.50 per hour babysitting and an additional $10 cleaning her neighbor's garage. Luis earned $6.25 per hour doing yardwork. During the same week, Luis did yardwork for 3 hours more than Gabriela babysat. Let h represent the number of hours Gabriela babysat. Which equation correctly represents this situation?

a. 7.5h+10=6.25(h+3)
b. 7.5(h+3)=6.25+10
c. 7.5(h+3)+10=6.25h
d. 7.5h=6.25(h−3)+10
e. 7.5h+10=6.25(h−3)

Answers

Answer:

7.5h+10=6.25(h+3)

Step-by-step explanation:

...........................................................

If Charlie had 28 grapes and Tristan has 23 grapes how many grapes do they have in total

Answers

Answer:

Step-by-step explanation:

28 + 23 = 51

Answer:

51 grapes

Step-by-step explanation:

To figure this out, we need to add both amounts of grapes together. We need to add 28 and 23.

28 Add 8+3, which is 11. So, add a one in the tens place.

+ 23 2+2+1=5, so put that in the tens place.

Hope this helps!! Have a nice day ^^

What are the excluded values of x for

Answers

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The excluded values are x = - 2, x = 9

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