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Marta_Voda [28]
3 years ago
13

Solve the following equation or inequality for the unknown variable. Round answer to two decimal places if necessary.

Mathematics
1 answer:
Sonbull [250]3 years ago
3 0

Answer:

x = 2.7

Step-by-step explanation:

The given equation is :

(3x)^2-10=56

We need to solve it for x.

It can be rewrite as follows:

9x^2-10=56

Adding 10 to both sides,

9x^2-10+10=56+10\\\\9x^2=66\\\\x=\sqrt{\dfrac{66}{9}}\\\\x=2.70

So, the value of x is equal to 2.7.

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PLEASE HELP WITH THIS QUESTION
Burka [1]
One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:

– Multiplied: Add their exponents
– Divided: Subtract their exponents

We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have

[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]

For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us

5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2

And summing the terms in the second:

3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2

Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.

Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is

2^0, which is just 1.
5 0
3 years ago
What is the factor of <br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20-%2027" id="TexFormula1" title="
Ksju [112]

Answer:

(x - 9)(x + 3)

Step-by-step explanation:

Given

x² - 6x - 27

Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)

The factors are - 9 and + 3, since

- 9 × 3 = - 27 and - 9 + 3 = - 6, thus

x² - 6x - 27 = (x - 9)(x + 3)

6 0
3 years ago
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TEA [102]

Answer:

13

Step-by-step explanation:

First find the average the numbers (40 / 4 = 10)

2 are more and 2 are less

7, 9, 11, 13

7 0
3 years ago
Read 2 more answers
Cos30° cos45°-sin30° sin 45°​
sammy [17]

Answer:

(√6 - √2)/4

Step-by-step explanation:

cos30°cos45° - sin30°sin45°

= cos (30 + 45)°

= cos 75°

= (√6 - √2)/4

4 0
3 years ago
What is the solution set of -2x &lt; 10
anastassius [24]

Answer:

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Step-by-step explanation:

4 0
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