2(4x – 3) ≥ –3(3x) + 5x?Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

Answers

Answer 1

Answer:

x<=-1/2

Step-by-step explanation:

An inequality is a mathematical relationship that compares two unequal numbers using the number line

To solve the inequality 2x – 6 ≥ 6(x – 2) + 8

We first simplify both sides of the inequality

2x-6≥6x-12+8

2x-6≥6x-4

Add 6 to both sides

2x≥6x+2

-4x≥2

x≥2/-4

Sign changes when we divide both sides of equation by a negative sign

x<=-1/2

Therefore x is less than or equal to -1/2 on the number line


Related Questions

Lois is four times as old as her son Don. The sum of their ages is 40. How old is Don?
a.Create an equation that can be used to solve this problem.

b.How old is Don?

Answers

Answer: Don is 8 yrs old

Explanation :
Lois = 4 (Don)
L+ D = 40
4D+D=40
5D=40
D=8
Her son don is 8 years old

If Paul’s savings are 25% more than Janet’s savings,
What percentage of Paul
savings are Janet’s savings

(A) 25 %
(B). 50%
(C) 75%
(D) 80%

Answers

How much is Janet saving tho?
how much savings does Janet have?

Completely factor the expression.

Answers

Answer:

x(8xsquare+6x-20)

Step-by-step explanation:

Answer:

[tex]x(2x+4)(4x-5)[/tex]

Step-by-step explanation:

[tex]x(8x^{2} +6x-20)\\x(2x+4)(4x-5)[/tex]

The question is below (This an order of operation question)

Answers

Step-by-step explanation:

i am 90% sure this is correct

Answer:

Step-by-step explanation:

Do multiplication first since it comes before the division in this equation

1/5 · 1/2 = 1/10

Plug this value back into the equation

1/2 - 1/10 + 2/5 ÷ 7/10

Divide 2/5 by 7/10

4/7

Plug this value back into the equation

1/2 - 1/10 + 4/7

Subtract 1/10 from 1/2

2/5

Plug this value back into the equation

2/5 + 4/7

Add.

34/35

Hope this helps :)

Please consider Brainliest :)

In the equilateral triangle below, x =
and the length of each side is
units.
3x + 6
9x – 12
6x - 3

Answers

Step-by-step explanation:

3x+6+9x-12+6x-3=180

15x-9=180

x-9=12

x=21

Please help me out. Thanks

Answers

Answer:

61

Step-by-step explanation:

Rectangle area=

[tex]60 \times 40 = 2400yd ^{2} [/tex]

The area at the right

[tex](\pi \times 20^{2} ) \div 2 = 628yd^{2}[/tex]

Total area = 2400+628=3028yd^2

Now you have to find the quantity of grass seed needed (1pound for every 50yd square)

3028/50=60.56 (which is almost 61)

For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is approximated by the function below. Find the maximum blood pressure and the disage at which it occurs.

B(x)= 395x^2- 2370x^3, 0 <= x <= 0.16

a. The maximum is obtained for a dosage of __________________.
b. The maximum blood pressure obtained is ______________.

Answers

Answer:

A) Maximum for dosage is 0.11

B) maximum blood pressure = 1.625

Step-by-step explanation:

We are given the function;

B(x) = 395x² - 2370x³

To find maximum, we will find the derivative of the function and equate to zero.

B'(x) = 790x - 7110x²

Equating to zero gives;

790x - 7110x² = 0

790x = 7110x²

Dividing both sides by x gives;

790 = 7110x

x = 790/7110

x = 0.11

This falls in between the range of 0 <= x <= 0.16 given to us.

Therefore x = 0.11 is a maximum

Plugging this into B(x) = 395x² - 2370x³ gives;

B(0.11) = 395(0.11)² - 2370(0.11)³

B(0.11) = 1.625

Thus;

Maximum dosage is 0.11

maximum blood pressure = 1.625

A dog that weighs 14 pounds should eat 1 5/8 cups of a certain type of dog food per day. How much of the same type of dog food should be fed, per day, to a dog who weighs 26 pounds?
PLEASE HELP!!!!!!!!

Answers

1 5/8 = 13/8
(13/8)/14 = .116 or 13/112
.116 (26) = 3.016 or 169/56

9514 1404 393

Answer:

  3 1/56 cups

Step-by-step explanation:

Apparently, you're to assume that the amount of food is supposed to be proportional to weight. If x is the amount of food for the 26-pound dog, then ...

  cups/weight = (1 5/8)/14 = x/26

Multiplying by 26 we have ...

  x = (26)(13/8)/14 = 338/112 . . . cups

  x = 3 1/56 cups ≈ 3.02 cups

About 3.02 cups of the same type of food should be fed to a 26-pound dog.

WILL MAKE YOU BRAINLIEST FOR NO REASON IF YOU GIVE BEST RESPONSE

Answers

i like chips lol because they are the most amazing thing and the crunch is so Satisfying

Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or not a function. Help

Answers

Answer:

can you add the dropdown menu? hard to answer without the dropdown

Step-by-step explanation:

Answer:

hope this helps!

Step-by-step explanation:

how do you write the algebraic notation when the scale factor is 3

Answers

Answer:(2 * 3, 1 * 3)

Step-by-step explanation:

Lines j and k are parallel and cut by a transversal t. If m<1 = 4x – 20 and m<6 = 5x – 25, what is m<2?

Answers

Answer:

Step-by-step explanation:

m<2 = 5.

because if you subtract 5x from 4x and that equals -1x. then you add 20 to -25 that equals -5. then you divided -5 by the -1x and you get 5.

Show work for branliest
Which expression is equivalent to =
(4x^ 3 ) (2x)^-4


A. 1/(4x)
B. 4/x
C. 8/x
D. 128/x

Answers

The answer is D hope this help
Answer:

(4x^3)(2x)^-4
Rewrite the equation
4x^3*2^-4 x^-4
Write in exponential form
2^2 x^3*2^-4 x^-4
2^-2 x^-1
Rewrite and change the power of -2 to a positive 2
1/2^2*1/x
1/4*1/x
1/4x

P.S the * represents multiplication, and in between some exponents I spaced them out, since I can’t write it properly on here without it looking like, for instance 2^2x^3 it’s suppose to be written together however it looks as if the exponent is 2x instead of being 2. You’d get the picture though.

solve 2x to the second power - 8x = -7

Answers

Answer:

[tex]x=4+\sqrt{2}/2, x=x=4-\sqrt{2}/2[/tex]

Step-by-step explanation:

12.32-8
Using mental math

Answers

Answer:4.32...i think

Step-by-step explanation:

Answer:

12.32-8= 4.32 OR 12 x 32 - 8 = 376

Step-by-step explanation:

 12.32

-  8.00

= 4.32

OR

  32

x 12

= 376

Just depends if the dot was a multiplication dot or decimal.

Hope it helps!!

HELP ASAP ! PLEASE I LOVE YOU MAY GOD BLESS YOU <3 :)

Answers

I can't answer the first question because you need to draw lines from one number to another and I'm not sure how to type that. The answer to the second question is choice 1.

Answer:

1)  draw a colored in dot right above 0 with an arrow connected to it that points to the left of the graph

2) draw a white uncolored in dot right above 12 connected to an arrow that points to the left of the graph

6) draw a colored in dot right above -4 with an arrow connected to it that points to the right of the graph

7) draw a colored in dot right above 2 with an arrow connected to it that points to the left of the graph

For question 1 on the second image, the answer is Option 1. We would color in the dot right above 36 because the child an be 36 inches and still ride the ride, and we would leave the dot right above 48 uncolored because in order to ride the ride the child must be less than 48 inches they cannot be 48 inches or taller if they want to ride the ride.

Step-by-step explanation:

The inequality for the first question can be simplified to p [tex]\leq \\[/tex] 0, so just draw a colored in dot right above 0 with an arrow connected to it that points to the left of the graph (indicating that all values of p are less than or equal to 0)

The inequality for the second equation can be simplified to g < 12, so just draw a white uncolored in dot right above 12 connected to an arrow that points to the left of the graph (indicating that all values of g are less than 12)

The inequality for the problem that says 6), can be simplified to -4 [tex]\leq \\[/tex] c, so just draw a colored in dot right above -4 with an arrow connected to it that points to the right of the graph (indicating that all values of c are equal to or greater than -4)

The inequality for the problem that says 7), can be simplified to j [tex]\geq[/tex] 2, so just draw a colored in dot right above 2 with an arrow connected to it that points to the left of the graph (indicating that all values of j are equal to or greater than 2)

A leaking pond loses 20 gallons of water in 35 hours. How many gallons of water will it lose in 47 hours?

Answers

20/35 gallons per hour
(20/35) * 47 = around 27 gallons in 47 hours

(GIVING BRAINLIEST AND EXTRA POINTS!!!)
Solve the equation using equivalent fractions. SHOW YOUR WORK.

13/14 - 1/7 + 1/2

Answers

Answer:

1 2/7 or 9/7

Step-by-step explanation:

First subtract 13/4-1/7=11/14

Then take the answer we subtract so we can add it 11/14+1/2= 1 2/7

What is the partial fraction decomposition of
8x+19/(x+8)(x-1)?

Answers

Answer:

8x+19/(x+8)(x-1)= 5/(x+8) +  3/(x-1)

Step-by-step explanation:

Step one:

given the expression

8x+19/(x+8)(x-1)

in partial fraction the expression is

8x+19/(x+8)(x-1)= A/(x+8) +  B/(x-1)

8x+19/(x+8)(x-1)= A(x-1)+B(x+8)/(x+8)(x-1)

equating the numerator we have

8x+19=A(x-1)+B(x+8)-------------------------1

to find A put x=-8 in eqn 1

8(-8)+19=A(-8-1)+B(-8+8)

-64+19=-9A

-45=-9A

A=45/9

A=5

to find B put x=1 in eqn 1

8(1)+19=A(1-1)+B(1+8)

8+19=9B

27=9B

B=27/9

B=3

The partial fraction decomposition

8x+19/(x+8)(x-1)= 5/(x+8) +  3/(x-1)

Answer:

Option-B

Step-by-step explanation:

edge

Just the image below.

Answers

Answer:

Step-by-step explanation:

I'm answering this silly thing only because it seems to have an expected answer

B: is about the only answer you cannot give.

C and D are Both open ended at 15 which doesn't allow you to say that the first acceptable answer is 16

The only answer you can pick is A. The amount starts at 15 and you keep going until you hit 70. That doesn't mean you have to stop. It just means that it represents what he desires to make.

Solve.
-2(3x + 7) = -8x

Answers

Answer:

x=7

Step-by-step explanation:

-6x-14=-8x

-6x+8x=14

2x=14

x=7

yes it. is right man ansls gqbevih wo

Plz help this is khan and I don’t remember how to do this

Answers

Answer
it could be a I’m not sure
Explanation

I am kind of stuck on this question could someone explain and answer this question I would really appreciate it :)

Answers

Answer:

First one

Step-by-step explanation:

Supplementary angles basically means which angles added together equals 180 degrees, 180 degrees is also a straight line.

So the answer would be the first one because both the angles added together is 180.

It’s the first one>>>40°+140°<<< because supplementary angles are two angles that should add up to 180° because 180°is the degree of a straight line. And the only one that adds up to 180 is the first one. Hope this helps!

Which of the following angle pairs are alternate interior angles? Choose all that apply. (2 points)

A. Angles 1 and 4
B. Angles 8 and 6
C. Angles 5 and 6
D. Angles 2 and 3
E. Angles 8 and 7
F. Angles 3 and 6

Answers

Answer:

A. Angles 1 and 4

D. Angles 2 and 3

Step-by-step explanation:

Alternate interior angles are a pair of angles which alternate each other lying on either side of the transversal but within the two parallel lines that is cut across by the transversal.

In the diagram above, the following are alternate interior angles:

<1 and <4,

<2 and <3

Answer:

A and D

Step-by-step explanation:

what is the value of 4/5(8+7)-2/3(8+7)​

Answers

Answer:

The answer is 2.

Hope this helps and if you could mark this as brainliest. Thanks!

just need help with a. please helppp

Answers

Answer:

Domain: [tex]-5\leq x\leq 4[/tex]

Range: [tex]-5\leq y\leq 5\\[/tex]

Function: yes

Step-by-step explanation:

Domain is all possible x values. In this function, domain would be: [tex]-5\leq x\leq 4[/tex]

Range is all possible y values. In this function, range would be: [tex]-5\leq y\leq 5[/tex]

This is a function because it passes the vertical line test.

What is the result of 4 divided by one-half? A number line going from 0 to 4. 2 8 12 16

Answers

Answer:

2

4/.5 = 2

Therefore, your answer is 2, or A. Hope this helped!

Answer:

the answer is B) 8

Step-by-step explanation:

hope this helped sorry if it didn't and if it's wrong sorry for that also.

The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School Brented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry? *

Answers

Answer:

ANSWER:  each van carries 18 people and each bus can                   transport 59 people.

Step-by-step explanation:

Let x = number of vans

      y = number of buses

Then x + 6y = 372

      4x + 12y = 780

Multiply the first equation by -4:  -4x - 24y = -1488

                                                  4x + 12y = 780

Adding the equations, we get -12y = -708

                                                y = 59

Substitute for y in the equation x + 6y = 372:

  x + 6(59) = 372

  x + 354 = 372

            x = 18

PLEASE HELP

Alvin's age is three times Elga's age. The sum of their ages is 52. What is Elga's age?

Answers

Answer:

A = 3E

A + E = 56

3E + E = 56

4E = 56

E = 14

Elga is 14 years old.

Step-by-step explanation:

Could you please mark me as the brainliest answer

Answer:

Step-by-step explanation:

17.33

What is the sum of 347+645=

Answers

Answer:

347 + 645 = 992

Step-by-step explanation:

 347

+645

 922

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