Classify: −4m+21(m−1)≤15m+2(m−1).

Answers

Answer 1

Answer:

[tex]\boxed{\sf All\: real\: numbers}[/tex]

Step-by-step explanation:

[tex]\star \:\sf Classify\: -4m+21\left(m-1\right)\le \:15m+2\left(m-1\right)\: \star[/tex]

Apply Distribution law:

[tex]\sf -4m+21m-21\le \:15m+2\left(m-1\right)[/tex]

Combine like terms:

** [tex]\sf \hookrightarrow -4m+21m=17m[/tex]

[tex]\longmapsto\sf 17m-21\le \:15m+2\left(m-1\right)[/tex]

[tex]\sf 2(m-1)[/tex]

[tex]\hookrightarrow 2m-2[/tex]

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

[tex]\longmapsto\sf 17m-21\le \:15m+2m-2[/tex]

Combine like terms:

** [tex]\sf 15m+2m=17m[/tex]

[tex]\longmapsto\sf 17m-21\le \:17m-2[/tex]

Add 21 from both sides:

[tex]\longmapsto\sf 17m-21+21\le \:17m-2+21[/tex]

[tex]\longmapsto\sf 17m\le \:17m+19[/tex]

Subtract 17m from both sides:

[tex]\longmapsto\sf 17m-17m\le \:17m+19-17m[/tex]

[tex]\longmapsto\sf 0\le \:19[/tex]

Therefore, the solution of the inequality: All real numbers

_____________________________________________


Related Questions

HELPPPPPPPPPP PLEASE

Answers

Answer:

The answer is in the above attachment.

Answer:

1. 6 x^8 y^5

2. 4 x^5 z^8

3. 12 a^9 b7

4. 6 s^9 t^3

Step-by-step explanation:

1. (3 x^2 y^4) × (2 x^6 y)

= [ (3×2) (x^2 × x^6) (y^4 × y) ]

= 6 x^8 y^5

2. [ (x z^3) × (4 x^4 z^5) ]

= (4 × 1) (x × x^4) (z^3 × z^5)

3. .........

4. ...........

Don't mind me, cause I'm busy

PLEASE HELP! Economics

Answers

Answer:

C is the answer.

Step-by-step explanation:

the US capital account was in surplus and Japanese current account

Bradley is 27 years older than Madison. Seven years ago, the sum of their age was 59. How old are they now?

Answers

Answer:

bradley is 50 and madison is 23

Step-by-step explanation:

m + 27 = b

(b - 7) + (m - 7) = 59

[(m + 27) - 7] + (m - 7) = 59

m + 20 + m -7 = 59

2m + 13 = 59

2m = 46

m = 23, b = 23 + 27 = 50

Jake Visits his relatives on Thanksgiving. He first travels to his parents'
place which is 5 miles straight NORTH. He then travels to his grandparents'
which is 5 miles straight WEST from his parent's house. What is the total
distance of Jake's Journey? What is the total displacement of Jake's
Journey?*
Distance 10 Miles: Displacement 10 Mlles

Distance 5 Miles: Displacement 5 miles

Distance 10 miles: Displacement 7.07 miles

Distance 5 miles : Displacement 7.07 miles

Answers

Answer:

Distance 10 miles: Displacement 7.07 miles  

Step-by-step explanation:

Let's depict Jake's journey on the Cartesian coordinate axis. Let Jake initially be at the point (0 ; 0 ) . Then you can determine how far from the starting point (0; 0) it has moved away (displacement ). According to the Pythagorean theorem , we will find it He walked 10 miles And displacement is found by the Pythagorean theorem
[tex]\bf displacement = \sqrt{5^2+5^2} =\sqrt{50} \approx 7.07m[/tex]
Then the answer is : Distance 10 miles: Displacement 7.07 miles

Naomi can run 1/4 mile in 2 minutes. Does Amal or Naomi run faster? How do you know

Answers

Answer: Yes

Step-by-step explanation:

A: 12 minutesAnswer to B: 36 minutesAnswer to C:

Who is the general information of accounting

Answers

Answer:

General accounting essentially refers to general ledger collection and accounting activities that include account charges in credits and debits and documenting financial statements for a quarter, calendar or fiscal year.

Based on the table below, find the input and output values of the function.

Answers

Answer:

the inputs are: 0,1,2,8,12

the outputs are: 19,9,7,16,17

(Put them in order if needed)

**inputs are x values and outputs are the y values**

1, 7, 13, 19, 25
Find the 20th linear term

Answers

Answer:

I think that the answer to your question is 115

A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions.
a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor?
b. For 95% confidence, determine the margin of error (+ lbf)
c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators?
d. lbf) if 50 insulators were tested.

Answers

Answer:

A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions. a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor? b. For 95% confidence, determine the margin of error (+ lbf) c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators? d. lbf) if 50 insulators were tested.

Step-by-step explanation:

What’s 19.50 simplified?

Answers

Answer:

39/2

Step-by-step explanation:

This is out of context

Answer:

1950/100

Step-by-step explanation:

What is 78 1/3 as a decimal?
Pls help!

Answers

Answer:

78.333333333

Step-by-step explanation:

What is the answer to 14÷22 ?

Answers

Answer:

0.63636363636363636

Step-by-step explanation:

14/22

Answer:

7/11 or 0.6363636363... and so on in that pattern.

Step-by-step explanation:

Well 14/22 is an irrational decimal which is 0.6363636363... and it goes on forever, so to put it in simple terms you can write it as a fraction as 7/11. (Sorry for being vague).

I hope this answer helped you if it is wrong please let me know. Thank you!

-36.12 divided by -5 3/5

Answers

[tex] - 36.12 \div - 5 \frac{3}{5} \\ - 36.12 \div - \frac{28}{5} \\ = 6.45[/tex]

- BRAINLIEST answerer

Evaluate f(x) at x =-3/4

f(x) = 2 - 6x - 4x^2


Answers

Answer:

4.25 is the final answer!!!

What is the prime factorization of 144?
2
O 2x62
O 22 x 34
x
O 23 x 32
х
0 24 x 32
Х
Help pls thx

Answers

Answer:

2

Step-by-step explanation:

Hi do you have a photo? i’m confused with the listing

s2=16, what is this?

Answers

Answer:

s= 4,-4

Step-by-step explanation:

   
   
  
     
 
 

Answers

love the question marks babe though i think you need to check this out so someone can answer lol

Write slope intercept form of th equation of each line

Answers

Answer:

y = 8/5x + (-4) or y = 8/5x -4

Step-by-step explanation:

Slope-intercept form is written like this:

            y = mx + b

The variable m, represents slope and b, represents the y-intercept.

To find slope, you have to find the rise/run or in other words, change of y over change of x.

From the look of the line, the slope has to be positive because the line is going up.

To go from the bottom point to the top, we have to go up 8 points and go to the right 5 points. Thus the slope is 8/5.

Now for the y-intercept. This part is easy. Just ask yourself this...

"Which of the two points is on the y-axis?"

In this case, it is the bottom point which is -4.

So your equation should look like this:

y = 8/5x + (-4)

   or y = 8/5x - 4 because when you have a plus sign and a minus sign, the result is negative.

hope this helps :)

What property is -5(-9x^2+8)+20=10x^2-15

Answers

Answer:

distributive?

Step-by-step explanation:

-5(-9x^2+8)+20=10x^2-15

simplify both sides

45x^2-20=10x^2-15

35x^2=5

x^2=1/7

x=1/sqrt(7)

distributive?

evaluate the expression when c=-3/4 and x=2/3
c-2x

Answers

Answer:

-2.0833333333333333333

Step-by-step explanation:

I used demos scientific

16 is 4% of what number?​

Answers

Answer:

400!

Step-by-step explanation:

16 times 25 is 400, therefore 16 is four percent of 400! Also, when finding out 4% of something, divide it by 25. When fiding 25% of something, divide it by 4!

16 is 4 percent of 400 as per the concept of percentages.

16 is 4% of 400.

To determine the number that 16 is 4% of, we can set up a proportion using the concept of percentages. Let's denote the unknown number as "x." The proportion can be written as:

16/x = 4/100

To solve this proportion, we can cross-multiply:

16 (100) = 4x

1600 = 4x

To isolate x, we divide both sides of the equation by 4:

1600/4 = x

x = 400

Therefore, 16 is 4% of 400.

To verify this, we can calculate 4% of 400:

4/100 x 400 = 0.04 x 400 = 16

As we can see, 16 is indeed 4% of 400.

To learn more about the percentage;

https://brainly.com/question/24159063

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a health status survey in a few villages revelaed that the normal serum protein value of children in that locality is 7.0g/100ml. A group of 16 children, who received high protein food for a period of 6months had serum protein values shown below.Can we consider that the mean serum protein level of these who were fed on high protein is different from that of general population

Answers

Yes we can becuase the villages have the serum and the children have it too so it’s all good

We can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.

To determine whether the mean serum protein level of the group of 16 children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml, we can perform a hypothesis test.

Let's denote:

μ1 = Mean serum protein level of the general population (assumed to be 7.0g/100ml)

μ2 = Mean serum protein level of the group fed on high protein food

The null hypothesis (H0) would be that there is no difference between the mean serum protein levels of the two groups:

H₀: μ₁ = μ₂

The alternative hypothesis (Ha) would be that there is a difference between the means:

Hₐ: μ₁ ≠ μ₂

Next, we calculate the sample mean and standard deviation of the group that received high protein food from the given serum protein values.

Assuming the serum protein values (in g/100ml) for the 16 children are as follows:

8.2, 7.6, 7.8, 7.4, 8.0, 7.9, 7.7, 7.5, 7.2, 7.3, 8.1, 7.6, 8.3, 8.0, 7.8, 7.9

Sample mean (x') = (sum of values) / (number of values) = (121.8) / (16) ≈ 7.613 g/100ml

Sample standard deviation (s) ≈ 0.352 g/100ml

Next, we perform a two-sample t-test (assuming equal variances) to compare the means of the two groups. We use the formula:

t = (x'₁ - x'₂) / √[(s₁² / n₁) + (s₂² / n₂)]

where x'₁ and x'₂ are the sample means of the two groups, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.

Substituting the values, we get:

t ≈ (7.613 - 7.0) / √[(0.352² / 16) + (0.0² / 16)] ≈ 3.584

Now, we need to find the critical t-value at a given significance level (commonly set at 0.05) and degrees of freedom (df = n1 + n2 - 2). Since we have 16 + 16 - 2 = 30 degrees of freedom, the critical t-value (two-tailed test) is approximately 2.042.

Since the calculated t-value (3.584) is greater than the critical t-value (2.042), we reject the null hypothesis (H0). This means that there is a significant difference between the mean serum protein levels of the two groups.

In conclusion, based on the given data and the hypothesis test, we can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.

To learn more about hypothesis click on,

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A school wants to investigate the amount of exercise students do.
There are 1200 students at the school.
a Suggest a sensible number of students to be sampled.

Answers

Answer:

100-200     Step-by-step explanation: yes 600 is half the students most of them are going to be in class

The net price of a hand phone after allowing trade discount of 20% was RM2,000. Find what is the list price of the hand phone.​

Answers

Answer:

RM1,600

Step-by-step explanation:

2000 * 0.20= 400

2000-400= 1600

Two teams are going on a trip to play a game. There will be
2 buses to take the students. On each bus, there are 60
seats. Teachers and parents will sit in 10 of the seats on
each bus
How many seats are available for students on the buses?

No links

Answers

-——————-
*%~.Answer .~%*
The Answer is 100
-——————-

First you would Multiply 2 and 60
You can do that by adding 60 two times.

-——————-

60. It should look like this. If you didn’t get
+ 60. 120 then your answers is incorrect, or
——— wrong. ☺️
120

-——————-

Now you multiply 10 x 2 because the teacher’s and parents will take up 10 is the seats on each bus!
To make is easier add 10 and 10 you should get 20!

-——————-

Now subtract 20 from 120.

120. You should get 100! If you didn’t get
- 20. 100 then you're answer is incorrect or
———. Wrong, Once again.
100

——-————————-

You're answer is, 100! There will be 100 seats leftover or available for the students on the busses!

~ pls Mark brainiest, or at least say thanks!

• TheTrueNezuko.

help plz we this work

Answers

Since it’s of 100, it’s how many squares are shaded in: 35
So it would be 35/100 or 35%
ANSWER: 35%

what is 20% of 30? how would you calculate it? please answer asap

Answers

Answer:

Working out 20% of 30

If you are using a calculator, simply enter 20÷100×30 which will give you 6 as the answer.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

what is 20% of 30? how would you calculate it?

30 : 100 * 20 = 6

or

30 * 0.20 = 6

Twice the sum of a number and 3 is equal to three times the difference of the number and 6. Find the number.
ENER
The number is a

(ANSWER QUICKLY)

Answers

Answer: 5

Step-by-step explanation:

Could I get help with this?

Answers

Answer:

you would pay $1000 because insurance would cover the 1500 for medical, and it would pay 5000 of the 6000 for damage to the car

Step-by-step explanation:

If an item is $6.49 for 36 ounces, then it is $

Answers

Answer:

0.18

Step-by-step explanation:

0.18


Do it step by step
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