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ladessa [460]
3 years ago
12

Square root of 2x squared - 7 -1=4

Mathematics
2 answers:
Oksana_A [137]3 years ago
8 0
We start with this:

\sqrt{[tex] 2x^{2}-7} [/tex]-1=4

Add 1 to both sides to get:

\sqrt{ 2x^{2}-7}=5

Now, to get rid of that nasty square root, we square both sides:

(\sqrt{2x^{2}-7}) ^{2} = 5^{2}

You're left with this:

2x^{2} -7 = 25

Add 7 to both sides to get:

2x^{2} = 32

Now square root both sides to get rid of the square on 2x:

\sqrt{2x^{2} } = \sqrt{32}

Since 32 isn't a perfect square we're gonna leave it as a square root.
Now divide both sides by 2 and get your answer:

x = \frac{\sqrt{32}} {2}


Snowcat [4.5K]3 years ago
7 0
The answer is probably x=3. I am great at math so it should be the answer!

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How can estimating the quotient help you check that your answer to a division problem is reasonable?​
neonofarm [45]

Explanation:

If your actual answer is very far from your estimate, you probably made a mistake somewhere.

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<em>Additional comment</em>

50 years ago, when a slide rule was the only available calculation tool, making an estimate of the result was a required part of doing the calculation. Not only were the first one or two significant digits needed, but also the power of 10 that multiplied them. Use of a slide rule required the order of magnitude be computed separately (by hand) from the significant digits of the result.

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7 0
2 years ago
Working her way through school, Kathy works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Jo
trapecia [35]

Answer:

<u>Kathy worked 11 hours at job A and 12 hours at job B, the week she made US$ 146.70.</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Rate per hour of Job A = US$ 5.70

Rate per hour of Job B = US$ 7.00

Earnings received by Kathy during the week = US$ 146.70

Total time worked by Kathy during the week = 23 hours

Hours at job A = x

Hours at job B = 23 -x

2. Let's find how many hours Katy worked at each job:

This is the equation that we'll use:

5.70x + 7 (23 - x) = 146.70

5.70x + 161 - 7x = 146.70

- 1.3x = 146.70 - 161 (Subtracting 161 at both sides)

-1.3x = - 14.30

1.3x = 14.3 (Multiplying by - 1 at both sides)

x = 14.3/1.3 = 11 (Dividing by 1.3 at both sides)

<u>Kathy worked 11 hours at job A and 12 hours at job B.</u>

3. Proof of x = 11

5.70 x + 7 (23 - x) = 146.70

5.70 (11) + 7 (23 - 11) = 146.70

62.70 + 7 (12) = 146.70

62.70 + 84 = 146.70

146.70 = 146.70

<u>The value of x = 11 is correct.</u>

Note. I provided the same answer to question 13954115.

3 0
2 years ago
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