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kozerog [31]
3 years ago
8

What's the solution set of –5 < 2x – 1 < 3?

Mathematics
1 answer:
Dmitry [639]3 years ago
8 0

Answer:

The answer is - 2 < x < 2

Step-by-step explanation:

–5 < 2x – 1 < 3

Add 1 to both sides to eliminate - 1

That's

- 5 + 1 < 2x - 1 + 1 < 3+ 1

- 4 < 2x < 4

Divide both sides by 2

That's

- 4/2 < 2x/2 < 4/2

The final answer is

<h3 /><h3>- 2 < x < 2</h3>

Hope this helps you

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Reba put $61 into a CD that pays 6.5% interest compounded semi-annually. According to the Rule of 72, approximately how long wil
Nina [5.8K]
The Rule of 72 is a shortcut method to find the number of years to double your investment. This is only an estimation. This can be done by dividing 72 by the annual interest rate.

However, you are given a nominal rate since it is compounded annually. Let's convert this by this equation:

annual rate = (1+i/m)^m - 1, where m is the number of periods in a year. Thus, m=2

annual rate = (1 + 0.065/2)^2 -1 = 6.61%

Applying Rule of 72,
72 ÷ 6.61% = 10.89

This is where I found a problem. The answer here just directly divided 72 by 6.5% which will equal to 11.1 years. This is not accurate, since the given interest is compounded semi-annually. That is not an annual interest rate.

Nevertheless, the answer is still close to letter A.) 11.1 years.
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4 years ago
An algebraic expression for 19 less than a number times 7.
raketka [301]

Answer:

I have zero idea what you mean im sorry this is a bad answer

Step-by-step explanation:

6 0
3 years ago
A post it note has an area of A square inches. The width of the post it note is 4 inches.which equation represents X the length
SVEN [57.7K]

Answer:

Option C. X=A/4

Step-by-step explanation:

we know that

The area of the rectangular post it note is equal to

A=LW

where

L is the length

W is the width

In this problem we have

W=4\ in

L=X\ in

substitute

A=4X

solve for x

That means ----> isolate the variable x

Divide by 4 both sides

X=\frac{A}{4}

6 0
4 years ago
11. An old machine requires three times as many hours to complete a job as
valentinak56 [21]

Answer:

Step-by-step explanation:

9(r_n+r_o)=1\\ \\ r_n+r_o=\frac{1}{9}\\ \\ r_o=\frac{r_n}{3}\\ \\ r_n+\frac{r_n}{3}=\frac{1}{9}\\ \\ \frac{4r}{3}=\frac{1}{9}\\ \\ 4r=\frac{1}{3}\\ \\ r=\frac{1}{12}\\ \\ \text{So working alone it would take the new machine 12 hours to finish the job.}

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3 years ago
Find the area of the shape shown below?
ohaa [14]

Answer:

xopoorxo

Step-by-step explanation:

12

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3 years ago
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