MATHEMATICS HIGH SCHOOL

What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?–10
–5
–3
–1

Answers

Answer 1
Answer: If you would like to solve the inequation 2 * (3x - 1) >= 4x - 6, you can do this using the following steps:

2 * (3x - 1) >= 4x - 6
2 * 3x - 2 * 1 >= 4x - 6
6x - 2 >= 4x - 6
2x >= - 6 + 2
2x >= - 4
x >= - 2

The correct result would be x >= - 2, so - 1.
Answer 2
Answer:

The value of x in the solution is -1. Option D

How to determine the value of x

2(3x – 1) ≥ 4x – 6

From the given equation, make 'x' the subject by expanding the brackets

6x - 2 ≥ 4x - 6

Collect like terms

6x -4x ≥ -6 + 2

2x ≥ -4

x ≥ -4/ 2

x ≥ -2

If x ≥ -2, then x = -1

Therefore, the value of x in the solution is -1.Option D

Learn more about inequalities here:

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If there are 13 values in a data set in order from smallest to largest, what is the third quartile of the data set?A. The mean of the 10th and 11th values
B. The mean of the 8th and 9th values
C. The mean of the 7th and 8th values
D. The mean of the 9th and 10th values

Answers

Third quatile position is given by: Q3 position = 3/4 (N) where N is the number of data set.
Q3 position = 3/4 ^ 13 = 9.75 (i.e. between the 9th and 10th values)

Answer: D [The mean of the 9th and 10th values]

Opal is collecting data on water levels in different parts of town. She notices that her sample data has a low-value outlier. Which statement must be true?A. Removing the outlier will not change the spread of the graph of the data set.
B. Removing the outlier will not change the variance of the data set.
C. Removing the outlier will increase the variance of the data set.
D. Removing the outlier will decrease the spread of the graph of the data set.

Answers

Answer:

D.

Step-by-step explanation:

if you remove the low value outlier, the variation from the mean will decrease therefore decreasing the varianc.

Answer:

D. Removing the outlier will decrease the spread of the graph of the data set.

Step-by-step explanation:

Outliers increase the spread of the data set.

So removing an outlier will generally decrease the spread or variance or standard deviation of a data set.

The answer is

D. Removing the outlier will decrease the spread of the graph of the data set.

What is 9.39 to one decimal place

Answers

9.4 because the number after the firs decimal point is higher than 5

Answer:

9.4 is the answer XD :)

Step-by-step explanation:

Which is equal to 7/25? 0.70 0.70 0.28 0.28 0.07 0.07 0.35 answer

Answers

Answer:

0.28

Step-by-step explanation:

7/25 is 0.28, you can do this on a calculator OR

25*4=100, that will get you the decimal when you do 7*4 and get 28, then turn it back into a decimal by dividing by 100

Order numbers from least to greatest 2.8, -2 3/4, 3 1/8, -2.2

Answers

Answer:

-2.2, -2, 1/8, 3/4, 2.8, 3

Step-by-step explanation:

Answer:

-2 3/4, -2 2/5, 2.8, 3 1/8

Step-by-step explanation:

Strategy 1:

What you want to do in this question is convert everything into one unit. So either decimals, or fractions. I find it easier to do this with decimals so here is my steps to solving this.

Since -2 3/4, and 3 1/8 are already fractions we don't need to convert them.

Let's do 2.8 first.

0.8 as a fraction is 8/10, or 80/100 because one way to thing about it is 0.8 is just 0.8/1.0 and if you multiply top and bottom by ten, then you can get 0.8 = 8/10. lets simplify a bit more. 8/10 if you divide by 2 on top and bottom you get 4/5. So 2.8 = 2 4/5

We can do the same thing with -2.2.

All we have to do is do 0.2/1.0 times 10 on top and bottom and we get 2/10. Now we simplify. We can divide top and bottom by 2 without a remainder so if we do that we get 1/5 in simplified form. So -2.2 = -2 1/5

now 4/5, 1/5, 3/4 and 1/8 don't have the same base, so by using LCM (Least Common Multiple) we can figure out that the least common multiple between all of them is 40. All we have to do now is multiply top and bottom in a way that gets us 40 on both bases. (For 4/5 and 2/5 you have to multiply top and bottom by 8 to get 40 and for 3/4 you have to multiply top and bottom by 10 and for 1/8 you have to multiply the top and bottom to get 40.) Once we multiply it all out we get:

2 32/40, -2 30/40, 3 5/40, -2 8/40.

Now if you compare the negatives and the positives greatest to least you get:

Negatives: -2 8/40, -2 30/40

Positives: 2 32/40, 3 5/40

And if you put them together

-2 8/40, -2 30/40, 2 32/40, 3 5/40

Strategy 2:

If you're confident just estimate lol (When your'e at a higher level.)

Disclaimer: Doesn't work for all problems just the easy ones

Round 0.977 to the nearest hundredth

Answers

.98 since the hundredth place is higher than a five it is rounded up
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