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3 years ago

What is the solution to |x + 2| 3 or x -1 or x < -3

Mathematics

1 answer:

Drupady [299]3 years ago

8 0

Answer:

x<-3

Step-by-step explanation:

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Mathematical Statement Justification

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

1. Given mathematical statement

$4x+3=x+5-2x$

So,

$\begin{array}{cc}4x+3=x+5-2x&\text{ Given}\end{array}$

2. Rewrite it as

$4x+3=x-2x+5$

So,

$\begin{array}{cc}4x+3=x-2x+5&\text{ Commutative property of addition}\end{array}$

3. Combine like terms $x$ and $-2x:$

$4x+3=-x+5$

So,

$\begin{array}{cc}4x+3=-x+5&\text{ Combine like terms}\end{array}$

4. Add $x$ to both sides:

$4x+3+x=-x+5+x\\ \\5x+3=5$

So,

$\begin{array}{cc}5x+3=5&\text{ Addition property of equality}\end{array}$

5. Subtract 3 from both sides:

$5x+3-3=5-3\\ \\5x=2$

So,

$\begin{array}{cc}5x=2&\text{ Subtraction property of equality}\end{array}$

6. Divide both sides by 5:

$x=\dfrac{2}{5}$

So,

$\begin{array}{cc}x=\dfrac{2}{5}&\text{ Division property of equality}\end{array}$

6 0

2 years ago

Read 2 more answers

What is the mathematical name for the object that is defined by the Crocodile River?

kipiarov [429]

The correct answer is : line y=4

6 0

3 years ago

Read 2 more answers

Shannon walks 2,500 metres in 1 hour 40 minutes. <br> How far does she walk in one minute?

stich3 [128]

Answer:

25m

Step-by-step explanation:

Shannon's rate is 2,500m/100min. Simplifying, we see that this is equal to 25m/1min.

So, she walks 25 m in one minute.

4 0

2 years ago

Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar

klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

$\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}$

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

$CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack$

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

$CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack$

Where (from tables):

$Z_{0.99}=2.33$

Finally, the interval at 98% confidence level is:

$CI(\mu)=\lbrack28.94,31.06\rbrack$

4 0

8 months ago

1. Draw a diagram to show how many 3/4 foot pieces of string can be cut from a piece of 4 1/2 feet long string.(How many times d

Blizzard [7]

1. 6
2. 6/60=1/10
3. 12
4. 24/2=12
5. 6/4=3/2= 1 1/2
6. 1
7. 7.5= 7 whole servings

7 0

2 years ago