solving a compound inequality. check all that apply.

Solving A Compound Inequality. Check All That Apply.

Answers

Answer 1

Answer:

The solutions are:

-28.25, -14.5, -2.25

Step-by-step explanation:

Given compound inequality is:

[tex]-17.5\leq \frac{2x+4}{3} <17.5[/tex]

The compound inequalities are broken down into two inequalities to find the solution

The two inequalities will be:

[tex]\frac{2x+4}{3} \geq -17.5[/tex]   AND   [tex]\frac{2x+4}{3}<{17.5}[/tex]

Solving both inequalities one by one

[tex]\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25[/tex]

The solution is:

-28.25 ≤ x < 24.25

We have to see which options lie in the solution range.

The solutions are:

-28.25, -14.5, -2.25


Related Questions

PLEASE HELP ! Which inequality represents “nine more than three times a number is greater than 21”.
A. 9n > 21
B. 9+ 3 > 21
C. 3n +9 > 21
D. 9n + 3 > 21

Answers

Answer:

C

Step-by-step explanation:

Answer:

C. 3n+9>21

Step-by-step explanation:

Ignore the 9 for a second and think about the phrase "3 times a number", if we say n is the number, then 3n is 3 times the number n.

Now we need something that is 9 more than this 3n, that means you add 9 to this, so you have 3n+9.

Finally, this 3n+9 is greater than 21, so we have 3n+9>21.

Plz, Help me with this question.

Answers

Answer:

12x + 16y

Step-by-step explanation:

Multiply 4 and 3x to get 12x.

Multiply 4 and 4y to get 16y.

The sign stays positive because 4 is positive, so we end up with 12x + 16y.

What is m∠J? a 59 , b 61, c 60

Answers

Answer:

I need

Step-by-step explanation:

This

Answer:

B. 61

Step-by-step explanation:

Which scatterplot BEST suggests a linear relationship between X and Y? URGENT!!!!!!!!!!!!!!! HELP PLEASE AND FAST!!!!!!

Answers

The scatterplot that best represent a linear relationship between the variables, X and Y, is: graph C.

What is a Linear Relationship?

On a scatterplot, the trendline that shows a linear relationship between two variables will have a straight line pattern that either slopes up or down.

The scatter plot in graph C shows a trendline that slopes along a straight line. Therefore, the answer is C.

Learn more about linear relationship on:

https://brainly.com/question/7040405

#SPJ2

To graduate you must take at least 12 core credits and 6 electives credits and you can take no more than a total of 26 credits. Write a system of inequalities that defines how many of each you can take.

C≥12,E≥6,C+E≤26

C+E≥18,C+E≤26

C+E≥18,C+E<26

C≤12,E≤6,C+E≤26

Answers

Answer:

C≥12,E≥6,C+E≤26

Step-by-step explanation:

i just took the quiz and got it right

The system of inequalities will be C≥12, E≥6, and C+E≤26. Then the correct option is A.

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The Inequality to graduate you must take at least 12 core credits,

C≥12

The Inequality to graduate you must take at least 6 electives credits,

E≥6

No more than a total of 26 credits for both core and electives.

C+E≤26

Hence, the correct option is A.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

(n+8)/5=(n-1)/2 what is n

Answers

Answer:

Step-by-step explanation:

n=7

State the operations used to solve the following equation 2x+8=9

Answers

Answer:

Subtraction and Division

Step-by-step explanation:

2x+8=9

2x+8-8=9-8

2x=1

x=1/2

wHaT is 3+3x+45??????????

Answers

Answer:

3x+48

add 3+45=48

Step-by-step explanation:

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)

Answer:

3(x+16)

Step-by-step explanation:

45+3=48

3x/3=x

48/3=16

3(x+16)

In Riverview Middle School, 20% of the students participate in after-school clubs. For every 100 students, how many are in an after-school club?
2
5
20
80

Answers

Answer:

20

Step-by-step explanation:

I hope this helps :))))

20 because you would multiply 100 times .20

Write the slope-intercept form of the equation of each line.
x + 5y - 10

Answers

Answer:

y = -1/5x + 2

Step-by-step explanation:

I will assume the "-" is an equal sign. Solve for y.

x + 5y = 10

~Subtract x to both sides

5y = 10 - x

~Divide 5 to everything

y = 2 - 1/5x

~Reorder

y = -1/5x + 2

Best of Luck!

The number of dimes in the bag can be represented by x. The number of quarters is 6 more than twice the number of dimes. There are a total of 276 coins in the bag. What is x, the number of dimes in the bag?

Answers

Answer:

The number of dimes  is represented by x = 90

Step-by-step explanation:

Given that:

The number of dimes  is represented by x

Number of quarters = 6  + 2x

Total number of coins in the bag = 276

To find x, we have:

x + 6 + 2x = 276

3x + 6 = 276

3x = 276 - 6

3x = 270

x = 270/3

x = 90

Can someone tell me how does this make sense?- or am I being stupid?

Answers

Answer:

It looks like she/he didn't count the question and just gave extra points. This made me lose some brain cells

Step-by-step explanation:

Two hundred wildebeests and 150 gazelles grazed on the savannah what was the ratio of gazells to wildebeests grazing on the savannah/

Answers

Answer:

150:200

Step-by-step explanation:

You can simplify it too. 3:4

Evaluate start fraction 2 over 3 end fractionx for x = three-fourths
A. one-half
B. eight-ninths
C. The fraction states 9 over 8.
D. 2

Answers

Answer:

A

Step-by-step explanation:

what is the domain of the function f(x)=|x|

Answers

Answer:

All Real

Step-by-step explanation:

It’s would be 2/3.6 cause if x/21 of g would be in the 5 of x could equal 9-5+2

When flipping a coin, the probability of getting tails is 50% and heads 50%. What is the probability of getting heads
or tails?
50%
60%
75%
100%

Answers

Answer:

50%

Step-by-step explanation:

Most people assume the toss of a coin is always a 50/50 probability, with a 50 percent chance it lands on heads, and a 50 percent chance it lands on tails

Answer:

100%

Step-by-step explanation:

There is a 50% chance of getting heads, and 50% chance of getting tails.

If these two options are added together, you get 100%. There are only two options on a coin flip anyways, so the probability of getting heads or tails would be 100%.

Help i will give brainliest to the first one to have a REAL answer

Answers

Answer:

y = -32

Step-by-step explanation:

-6 (y+15) = -3y + 6

-6y - 90 = -3y + 6

-3y - 90 = 6 + 90

= -3 = 96

y = -32

Answer:

Y=28

Step-by-step explanation:

Distribute-6(y+15) > -6y-90

-6y-90=-3y+6 add the -3y to the -6y and the -90 to the 6

-3y=-84

Then just divide -84 by -3

please help!
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(7, 1) (0, -3)

Answers

correct answer is that i need help with this too.

To add or subtract numbers with the power of ten you need to make sure the exponents match before you do anything to the coefficients

Answers

Answer:

is this a true or false question? If so, it's false. To add or subtract, the bases have to match, not the exponents.

Step-by-step explanation:

Answer:

nope it doesn't matter the exponents they don't have to match but you later have to add them and add that many zeros back as the exponents

please help me with the question

Answers

Answer:

D. If you go through all the equations they all come out true beside this one. With this one Alisha pays $1,480 which is less than $1,500

London bought snacks for her team's practice. She bought a bag of apples for $2.25 and a 18-pack of juice bottles. The total cost before tax was $9.63. Write and solve an equation which can be used to determine
j
j, how much each bottle of juice costs?

Answers

Answer:

go to siri

Step-by-step explanation:

go to your phone

go to siri

and ask

I really need help ​

Answers

Answer:

There is a positive correlation in the data set.

General Formulas and Concepts:

Statistics - Scatterplots

Positive Correlation - an upwards trend in the data setNegative Correlation - a downwards trend in the data setNo Correlation - an undeterminable correlation in the data set

Step-by-step explanation:

According the data set on the graph, we can see that if we draw a line of best fit, the overall data would be increasing. Therefore, we would have a positive correlation.

Find the slope of (4,4) (-6-4) plz need this like in 20 minutes

Answers

Answer:

The slope is 0

Step-by-step explanation:

true or false:

Question attached:

Answers

Answer:

true

Step-by-step explanation:

Question 1 (5 points)
(02.01 LC)

Line segment AB has a length of 5 units. It is translated 3 units to the right on a coordinate plane to obtain line segment A prime B prime. What is the length of A prime B prime? (5 points)

a. 2 units
b. 3 units
c. 4 units
d. 5 units

Answers

Answer:

The answer to this question is b. 3 units

Answer:

D. 5 Units

Step-by-step explanation:

A translation is a different way of saying that the shape was moved. So since this is a movement nothing changed about the length of the line segment, meaning the line segment stayed 5 units.

for f(x)=-3x+2 find each value

f(-4)=

f(5)+8=

f(3)-f(6)=

Answers

Step-by-step explanation:

1. f(-4)=-3x+2

x=-4

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

f-4=-3-4+2

f-4=-5

f-4/-4=-5/-4

f=5/4

2X+20 and X+60 I have to solve for X

Answers

Answer:

x = 40

Step-by-step explanation:

I don't understand, but I think you mean 2x + 20 = x + 60

So that's what I'm going to solve for if that's wrong tell me what you mean.

2x + 20 = x + 60 (subtract 20 on both sides)

2x = x + 40 (subtract x on both sides)

x = 40

HOPE THIS HELPS!

IF YOU HAVE A QUESTION ABOUT THIS COMMENT.

Answer:

x = 26.6

Step-by-step explanation:

1. 2x+20+x+60

2. Combine like factors (x' s, and 20+60)

3. 3x+80

4. divide 80 from 3 (80/3)

5. 26.6

David roller skates 33 miles in 2
3/4 hours. What is his average speed in
miles per hour?

Answers

Answer:

12 miles per hour

Step-by-step explanation:


Which expression is the simplest form of
(x4/7)^7

Answers

Answer:

7

Step-by-step explanation:

Given that 7x−7y=18
Find x when y=−6
Give your answer as an improper fraction in its simplest form.

Answers

Answer:

-24/7

Step-by-step explanation:

7x -7(-6) = 18

7x + 42= 18

7x = -24

x= -24/7

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