6-3(x+2)>15 solving inequalities

Answers

Answer 1

Answer:     x  < - 5

Step-by-step explanation:

6-3(x+2) > 15         [substract six from both sides]      

  -3(x+2) > 15 - 6   [divide both sides by -3; flip greater than sign to less than]

         x + 2 < - 3    [subtract two from both sides]

              x  < - 5

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

6-3(x+2)&gt;15 Solving Inequalities

Related Questions

What is the constant of proportionality for the relationship between 12 laps 1/2 hr

Answers

Answer:

24

Step-by-step explanation:

12 per half hour means 24 per hour

Solve the inequality. Graph the solution.
y- 2≥-4

Answers

The answer is y greater than or equal to -2

4< -2x + 3 <9
Compound inequalities

Answers

Answer:

-3 < x < -1/2

Step-by-step explanation:

4<-2x+3<9

1<-2x<6

-1/2 > x > -3

so

-3 < x < -1/2

If £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after 2 years?

Answers

£2090.9 there will be that amount in the account in 2 years

Answer:

we gotta find compound amount here..

CA=compound amount

P=principal

R=rate of interest

T=time

PLEASE HELP I"M ON A TIMER!!!!!!
Δ RST ≅ ΔLMN
What are the values of m∠R and LM?
Enter your answers in the boxes.
I will mark BRAINLIEST!!!

Answers

Answer:

R=30 degrees Lm=6(square root of 3)

Step-by-step explanation:

R=L

LM=SR

How do you get the answer to these two questions? I don’t understand

Answers

Answer:

Hey, so it's actually pretty simple I'll try my best to explain it properly!

Step-by-step explanation:

So for the first blue circle the line that goes to the middle that's the radius. And to solve the area you need to know the radius. The formula to solve the area is A = [tex]\pi[/tex] [tex]r^{2}[/tex] so what we would do its 3.14 times 6 times 6 or 3.14 times 36 which would give us the area! Now for circumference, the equation for that is C = 2[tex]\pi r^{2}[/tex] which would look like 2 times 3.14 times 6 times 6 or 2 times 3.14 times 36 and that would give you the circumference.

Please help me!!! Will give brainliest!​

Answers

Answer:   x  = 40

Step-by-step explanation:

3x° + 36° = 156°        (since alternate interior angles are equal)

        3x°  = 120 °

           x  = 40

If R is the midpoint of QS, QR = 6x – 51 and RS = 2x – 7, find QS.

Answers

Answer:

QS = 30

Step-by-step explanation:

Since R is the mid point QR = RS

Given QR = 6x – 51 and RS = 2x – 7 then

6x – 51 =  2x – 7, isolate like terms

  6x -2x = 51 -7 , combine like terms

        4x = 44, divide both sides by 4

         x = 11

QS = QR + RS

QS = 6x -51 +2x -7 , combine like terms

QS = 8x - 58, substitute x= 11 in the equation

QS = 8*11 -58, multiply 8 and 11

QS = 88 -58

QS = 30

Classify the system of equations and identify the number of solutions.
2x + y = 5
6x + 3y = 25
inconsistent; one
consistent, dependent; one
consistent, dependent; infinite
inconsistent; none
HELP ASSAP PLS

Answers

Step-by-step explanation:

2x + y = 5 (times 3)

6x + 3y = 25

↓↓↓↓↓↓↓↓↓↓↓↓

6x + 3y = 15

6x + 3y = 25

No solution

2x+y=5

y=-2x+53y=-6x+15--(1)

6x+3y=25

3y=-6x+25

As slopes are equal lines are parallel

So no solutions

Option D

What is the solution to the equation? √x+3=12

Answers

Answer:

3

Step-by-step explanation:

[tex] \sf \sqrt{x + 3 = 12} [/tex]

[tex] \sf = \sqrt{x = 12 - 3} [/tex]

[tex] \sf = \sqrt{x = 9} [/tex]

[tex] \sf = \sqrt{9} [/tex]

[tex] \sf = \sqrt{3 \times 3} [/tex]

= 3

The solution of the linear equation [tex]\sqrt{x+3} = 12[/tex]  for the variable, x is 141.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable

The solution of the equation can be calculated as:

[tex]\sqrt{x+3} = 12[/tex]

Squaring both side,

[tex]x+3 = (12)^2[/tex]

x+3 = 144

Subtract 3 from both the sides,

x = 141

The solution of the linear equation for the variable x is 141.

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PLEASE HELP !!!! SYSTEMS OF EQUATIONS

In the student government election, Maddie received 20% more votes than her opponent. A total of 1,485 votes were cast for both candidates. How many votes did Maddie receive?

Answers

Answer:

Maddie got 810 votes

Step-by-step explanation:

We'll call Maddie's votes x, and her opponent's votes y.

x + y = 1485

x = y + 0.20y (because she got the same number of votes as her opponent, PLUS another 20% of that number. Divide 20% by 100 to get the decimal equivalent) This can also be written as x = 1.2y

So our system is

x + y = 1485   and

x = 1.2y

Substitute the second equation's value for x into the first equation:

1.2y + y = 1485 then solve for y

2.2y = 1485

divide both sides by 2.2

y = 675

substitute that in and solve for x

x + y =1485

x + 675 = 1485

subtract 675 from both sides

x = 810

Please let me know if you have questions on this answer. Hope it helps.

100 POINTS Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the systems of equations to their solutions. 2x + y = 12 x = 9 − 2y x + 2y = 9 2x + 4y = 20 x + 3y = 16 2x − y = 11 y = 11 − 2x 4x − 3y = -13 y = 10 + x -3x + 3y = 30 2x + y = 11 x − 2y = -7 x = 2, y = 7 arrowRight x = 5, y = 2 arrowRight x = 3, y = 5 arrowRight x = 7, y = 3

Answers

Answer:

(1st picture): y=2x+3 and y=x+5

(2nd picture): y=4x+2 and y =3x+2

(3rd picture): y=2x+1 and y =x+2

(4th picture): 3x and x+3

The solutions to the system of equations are (5,2), no solutions, (7,3), (2,7), no solutions and (3,5) respectively.

What is the system of equations?

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

(1) Systems of equations

2x + y = 12

x = 9 − 2y

See the graph given below the solution is the point (5,2).

(2) Systems of equations

x + 2y = 9

2x + 4y = 20

See the graph given below the solution is the point has no solution the two lines are parallel.

(3) Systems of equations

x + 3y = 16

2x − y = 11

See the graph given below the solution is the point (7,3).

(4) Systems of equations

y = 11 − 2x

4x − 3y = -13

See the graph given below the solution is the point (2,7).

(5) Systems of equations

y = 10 + x

-3x + 3y = 30

See the graph given below the system has no solutions.

(6) systems of equations

2x + y = 11

x − 2y = -7

See the graph given below the solution is the point (3,5).

Therefore, the solutions to the system of equations are given below in the figure.

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5.
The table shows a meteorologist's predicted temperatures for an October day in Sacramento,
California.
Sacramento, CA
Predicted
a) What is a quadratic model for these data?
Time Temperature ("F)
8 AM
10 AM
64
b) According to the regression equation, at what time
will the temperature be the highest?
12 P.M.
72
78
2 P.M.
4 P.M.
81
6 PM
76

Answers

Answer:

b

Step-by-step explanation:

The time, in minutes, that it takes Mark to bake cookies is given by t = 15 + 10d, where d is dozens of cookies. How long would it take Mark to bake 48 cookies?

Answers

Answer:

55

Step-by-step explanation:

15+10d

15+10(4)

15+40

55 minutes

It will take 55 minutes for Mark to bake 48 cookies.

15+10d

15+10(4)

15+40

55 minutes

How long does it take to bake a cookie?

Simply put, you can expect to bake cookies at 350 degrees Fahrenheit for 8-12 minutes. However, there are some things to consider when baking biscuits. The type of biscuit, the size of the biscuit, and the content of the fabric.

Preheat the oven to 350 ° F (or 325 ° F for a non-stick baking sheet). Place the cookie dough base about 2 inches apart on a non-oiled sheet pan. BRAKE for 10-14 minutes or until light brown. Cool 2 minutes; Remove from the top plate.

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Suppose M is the midpoint of Segment AB, P is the midpoint of Segment AM, and Q is the midpoint of segment PM.

If a and b are the coordinates of A and B, find the coordinates of M, P, and Q in terms of a and b.

Answers

The coordinates of M, P and Q in terms of a and b are [tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex], [tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex] and [tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex], respectively.

In this question we are going to use definitions of vectors and product of a vector by a scalar. Based on the information given on statement, we have the following vectorial formulas:

Location of M

[tex]\overrightarrow{AM} = \frac{1}{2}\cdot \overrightarrow{AB}[/tex]

[tex]\vec M - \vec A = \frac{1}{2}\cdot \vec B - \frac{1}{2}\cdot \vec A[/tex]

[tex]\vec M = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec B[/tex]

[tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex]

Location of P

[tex]\overrightarrow{AP} = \frac{1}{2}\cdot \overrightarrow{AM}[/tex]

[tex]\vec P - \vec A = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec A[/tex]

[tex]\vec P = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec M[/tex]

[tex]\vec P = \frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B[/tex]

[tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex]

Location of Q

[tex]\overrightarrow{QM} = \frac{1}{2}\cdot \overrightarrow{PM}[/tex]

[tex]\vec M - \vec Q = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec P[/tex]

[tex]\vec Q = \frac{1}{2}\cdot \vec P - \frac{1}{2}\cdot \vec M[/tex]

[tex]\vec Q = \frac{1}{2}\cdot \left(\frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B\right) -\frac{1}{2}\cdot \left(\frac{1}{2}\cdot \vec A + \frac{1}{2}\cdot \vec B\right)[/tex]

[tex]\vec Q = \frac{1}{8}\cdot \vec A -\frac{1}{8}\cdot \vec B[/tex]

[tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex]

The coordinates of M, P and Q in terms of a and b are [tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex], [tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex] and [tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex], respectively.

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The amounts of e-waste generated in a region during two years were 14,200,000 tons and 10,700,000 tons. What was the total e-waste generated over these two years in the region, expressed in scientific notation?

Answers

2.4 9 x10^7

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Simplify 11 square root 1215

Answers

Answer:

9 • sqrt(15)

Step-by-step explanation:

kylie makes $8.50 an hour working at a restaurant if she brings home $170 in her paycheck how many hours did she work

Answers

Answer:

20 hours

Step-by-step explanation:

hope this helps

Answer:

[tex]170 \div 8.50 = 20[/tex]

She has worked 20 hours at that restaurant

ILL GIVE BRAINLIST !!!!!!!

Answers

What did you partner think? i will answer in comments

If f (x) = x^2 + 3, evaluate f (-4).
=
A) -5
B) 19
C
11
D) -13

Answers

Answer: B) 19

Step-by-step explanation:

To solve this problem, simply plug in -4 for x:

[tex]f(x)=x^{2} +3\\f(x)=(-4)^{2} +3\\f(x)=16+3\\f(x)=19[/tex]

Hope it helps :) and let me know if you want me to elaborate/explain further

Answer:

D. -13

Step-by-step explanation:

If you substitute -4 in for x you get -4^2+3, so when you simplify you get -16+3 which equals -13.

f(x)=x^2+3

f(-4)= -4^2+3

f(-4)= -16+3

f(-4)= -13

The circle graph shows the results of a survey. Of those surveyed, 200 said yes. About how many people were surveyed?

Answers

Answer:

250 people

Step-by-step explanation:

let's first look for the missing 20%,

one way you can solve this is by cross multiplication:

since 80% is 200 then 80% = 200

and we know 20% is x then 20% = x (we use x because we don't know the amount of people)

so then we set it up:

[tex]\frac{x}{20}[/tex] × [tex]\frac{200}{80}[/tex]

now we cross multiply:

80x = 4000

= x = 50

now we need to find how many people were surveyed so we do:

200 + 50 = 250

250 people were surveyed

PLEASE HELP ASAPPP!!!!!

Answers

For part 1.

1 goes with A
2 goes with D
3 goes with E
4 goes with C
5 goes with F

For the second part I’m honestly not sure how to do it.

Evaluate |-6| + 3|4| + |-5| -0×6.

O 0
O 25
O 23
O 18​

Answers

Well the answer is the 3rd option 23.

M is the midpoint of PQ. MQ = 5x + 8 and PQ = 6x + 56, find PM.

(4 Points)

Enter your answer

Answers

If M is the midpoint of PQ. MQ = 5x + 8 and PQ = 6x + 56, then PM = 58

Since M is the midpoint of PQ

PM  +   MQ   =   PQ................(*)

Given:

PQ  =  6x + 56

MQ  = 5x + 8

Substitute PQ and MQ into equation (*)

PM   +  (5x + 8)  =  6x  +  56

Collect like terms

PM   =  6x  +  56  -   (5x  +  8)

Expand the equation using the distributive rule

PM  =  6x  +  56  -  5x  -  8

PM  =  6x  -  5x  +  56  -  8

PM  =  x  +  48.........(**)

Equate MQ and PM

MQ   =   PM

5x  +  8    =   x  +  48

Collect like terms

5x  -  x  =  48  -  8

4x   =   40

Divide both sides by 4

4x / 4   =  40/4

x   =   10

Substitute x = 10 into equation (**)

PM  =  x  +  48

PM  =  10  +  48

PM   =  58

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OMGGG PLS HELP ME WITH THIS QUESTION PLS PLS PLS!!! WILL MARK BRAINEST AND PLS PLS PLS DO EXPLAIN!!!

Answers

Answer:

38

Step-by-step explanation:

-(5×-7-3)

-(-35-3)

-(-38)

38

PLEASEEEE HELPPPP MEEEE

Why do you think that diagnosing a parasite infection can be difficult in some cases?

Answers

Answer:

They are difficult to diagnose through route medical tests. A careful analysis of signs and symptoms is far more productive in eliciting the diagnoses verses blood tests. At least through suck signs and symptoms the presumptive diagnosis of parasitic infestations can be made. It all just depends though.

Pls mark brainliest I would really appreciate it

Answer: They are difficult to diagnose through route medical tests. A careful analysis of signs and symptoms is far more productive in eliciting the diagnoses verses blood tests

Help please i need the answer by tonight for my grades

Answers

Answer:

X equals negative 11

Step-by-step explanation:

The angles in a triangle add up to be 180 degrees, and we already have 80 as one angle and 60 as the other. That equals 140 degrees. But now we have x+51. That would equal 191 degrees, so 191-180=11, so x= -11

Answer:

x=-11

What we know=

Angles A'=x+51

Angle B=60

Angle C=80

Angle B' and C'=?

Due to the vertically opposite angle rule, we know angle B' and C' are the same as angle B and C.

So, angle B' is 60 degrees. Angle C' is 80 degrees.

We can add them together to get 140 degrees.

So we have 140, x+51. We can make an equation.

[tex]180=140+51+x[/tex] We can combine like terms (140 and 51) to get 191

A triangle only adds up to 180 degrees. So now you can subtract 180-191=to get x.

Given h(x) = 4x + 5 solve for when h(x) = 9 .

Answers

Answer:

3x = 5

Step-by-step explanation:

9x = 4x + 5

-4x -4x

3x = 5

Answer:

h(x) = 4x + 5       h(x) = 9

9 = 4x + 5        9 - 5 = 4  and 5 - 5 = 0

4 = 4x          4 divided by 4 equals 1

Answer is x = 1.

--------------------------------------------------------

Check your answer:

9 = 4x + 5

Input the 1 into the variable x's place in the equation.

9 = 4 X 1 + 5

And now solve.

4 X 1 + 5 = 9

So, now we know that our answer is fully correct.

Step-by-step explanation:

Hope this helps. If there are any questions please ask them below in the comments. If there are no questions please have a great rest of your day/night!

The sum of ages of 3 siblings, Alice, Bruce and Chuck is 27. The sum of ages of Alice and Bruce is 14 and the sum of ages of Bruce and Chuck is 22. Find each sibling's age by using system of linear equations.​

Answers

Answer:

Alice = 5

Bruce = 9

Chuck = 13

Step-by-step explanation:

alice= x

Bruce = y

Chuck = z

x+y+z= 27

x+y= 14

therefore z= 27-14= 13

Chuck = 13

y+13 (z) = 22

therefore y = 22-13= 9

Bruce = 9

9+13= 22

therefore x= 27 - 22= 5

Alice = 5

confirmation

5 + 9 + 13 = 27

5+9= 14

9 + 13 = 22

Each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.

Given that,

The sum of ages of 3 siblings, Alice, Bruce, and Chuck is 27. The sum of ages of Alice and Bruce is 14 and the sum of ages of Bruce and Chuck is 22.Here we assume Alice be x, Bruce be y, and Chuck be z.

Based on the above information, the calculation is as follows:

x + y + z =  27

x + y =  14

So,

z =  27 - 14

= 13

i.e. Chuck = 13

Now  

y + 13 (z) = 22

So,

y = 22 - 13

= 9

i.e. Bruce = 9

Now

9+13= 22

So,

x = 27 - 22

= 5

i.e. Alice = 5

Therefore we can conclude that each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.

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Tony is saving money to buy a game. So far he has saved S18, which is two-thirds of the total cost of the game. How much does the game cost

Answers

The game cost $27! I did 18 times 3 then dived that by 2! 18*3= 54. 54 divided by 2=27
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