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NikAS [45]
3 years ago
11

Find all the numbers such that the number added to itself is less than the number subtracted from 6

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

All numbers less than 2 or (-\infty, 1] or (-\infty, 2)

Step-by-step explanation:

Given that:

Number is added to itself is less than the number subtracted from 6.

To find:

All such numbers.

Solution:

Let the number be x.

Here, an inequality will be made.

When solved, it might give more than one answers.

As per the question statement, let us write the inequality.

Number added to itself \Rightarrow x +x =2x

Number subtracted from six = 6-x

As per question:

2x

So, the answer is:

All numbers less than 2 or (-\infty, 1] or (-\infty, 2).

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Expand the following:3/4(-24x-16)​
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-18x-12

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3 years ago
Which expression is equivalent to (16 x Superscript 8 Baseline y Superscript negative 12 Baseline) Superscript one-half?.
loris [4]

To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>
  • x^ax^b = x^{(a+b)}
  • \dfrac{x^a}{x^b} = x^{(a-b)}
  • (a^a)^b =x^{(a\times b)}
  • (xy)^a = x^ay^a
  • x^{\frac{3}{4}} = \sqrt[4]{x^3}= (\sqrt[3]{x})^4

The solution of the expression is \dfrac{4x^4}{y^6}.

<h2>Explanation</h2>

Given to us

  • (16x^8y^{12})^{\frac{1}{2}}

Solution

We know that 16 can be reduced to 2^4,

=(2^4x^8y^{12})^{\frac{1}{2}}

Using identity (xy)^a = x^ay^a,

=(2^4)^{\frac{1}{2}}(x^8)^{\frac{1}{2}}(y^{12})^{\frac{1}{2}}

Using identity (a^a)^b =x^{(a\times b)},

=(2^{4\times \frac{1}{2}})\ (x^{8\times\frac{1}{2}})\ (y^{12\times{\frac{1}{2}}})

Solving further

=2^2x^4y^{-6}

Using identity \dfrac{x^a}{x^b} = x^{(a-b)},

=\dfrac{2^2x^4}{y^6}

=\dfrac{4x^4}{y^6}

Hence, the solution of the expression is \dfrac{4x^4}{y^6}.

Learn more about Exponentiation:

brainly.com/question/2193820

8 0
2 years ago
150=3/5x what does x equal?
svetlana [45]

Answer:

250

Step-by-step explanation:

150/3=50

50*2=100

150+100=250

7 0
3 years ago
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